Topic: % list of topics
start over

10832 items are filed under this topic.

		Page 1/2

	Eight character words		2012-05-20
		From KiranReddy: i have a requirement that , i need to generate 8 digit word [mix of 26 small letters and 0-9 digits , both are repeatable] Please give me the count of such words we can generate Answered by Penny Nom.
	A 10 inch circle using 2x4s		2012-05-19
		From Ralph: I want to form a 10" circle with 4"high pieces of 2 x4's. If each 2x4 piece sit next to each other,What degree would I have to cut each side of the 2x4's, and how many would I need to form a 10 inch circle. I know there is a formula for this out there somewhere. Answered by Harley Weston.
	How fast am i driving?		2012-05-18
		From bozenga: How fast am I driving if I cover 40 feet in .1 seconds (1/10th of a second)? Answered by Penny Nom.
	Romeo and Juliet live 40 miles apart		2012-05-18
		From Abigaíl: Romeo and Juliet live 40 miles apart. Romeo jogs 8mph, while Juliet “fast walks” at 4mph. They leave their houses at the same time and journey toward each other. a) How many hours after they start will they meet? b) Approximately how many miles from Romeo’s house is their meeting point? Answered by Penny Nom.
	Math, time and rate		2012-05-18
		From Abigaíl: Romeo and Juliet live 40 miles apart. Romeo jogs 8mph, while Juliet “fast walks” at 4mph. They leave their houses at the same time and journey toward each other. a) How many hours after they start will they meet? b) Approximately how many miles from Romeo’s house is their meeting point? Answered by Penny Nom.
	Three tennis balls		2012-05-17
		From eiman: Three tennis balls are placed inside a container . the tennis balls are tangent to the top, bottom,and sides of the container . find the volume of air inside the container surrounding the tennis balls if the diameter of the tennis balls is 6 inches Answered by Chris Fisher.
	16 golfers		2012-05-17
		From Nohemi: Can 16 golfers each play in foursomes for 6 days? I found the answer for 5 days, but is it possible to do it for 6. Answered by Robert Dawson.
	The area of a triangle		2012-05-17
		From Emilee: hi. How do i find the area of a triangle if the vertices are (-3,0) (-2,2) and (3,0). I graphed it and it came out a triangle. How do I find the area of it in an easy way? Answered by Penny Nom.
	Slope		2012-05-16
		From Kodie: What is the easiest way to find slope? Answered by Penny Nom.
	The depth of a chord		2012-05-16
		From Tim: For a circle of Diameter 12 Mtrs, I have a chord length of 2 Mtrs, How can i calculate the distance from the middle of the chord to the perimeter of the circle Answered by Penny Nom.
	A lamp shade		2012-05-15
		From Fleur: I am helping my child make a cone lampshade, the measurements are as follows in "cm's" 21 cm = height 8 cm = top diametre 40 cm = bottom diametre Please could you give the pattern (cut out) dimensions for final cut. Answered by Penny Nom.
	Multiplying binomials		2012-05-14
		From Jordan: How do I solve the equation: 3(x+4)(x-6) Answered by Penny Nom.
	Sharing the profit		2012-05-14
		From Mafiza: A and B started a business by investing $6000 and $8000 respectively. At the end of the year, a profit of $2100 is made. How much amount will A get as his share of profit? Answered by Penny Nom.
	Two golf drives		2012-05-14
		From peter: If a golf drive travels 250 yards with a perfectly perpendicular hit, what is the length of the base, if a second golf drive is off line by one degree? Answered by Penny Nom.
	cos(theta/30) = 1		2012-05-14
		From Hope: cos (theta / 30 = 1 I am very confused as to how to solve it. Can you help? Answered by Penny Nom.
	Points per quarter		2012-05-14
		From debbie: A basketball team scores 216 points in 8 quarters . Find the teams point per quarters rate Answered by Penny Nom.
	A normal distribution problem		2012-05-13
		From Alysia: The scores on a test taken by 1000 students are normally distributed with a mean of 66 and standard of deviation of 12. If the college wishes only the top 8% of people to get an A, what would the cutoff score be for the A's? Answered by Penny Nom.
	Three metallic cubes		2012-05-13
		From Pragun: Three metallic cubes whose edges are in the ratio 3:4:5 are melt to form a single cube whose diagonal is 12*square root of 3. What are lengths of the edges(in cm) of the three cubes Answered by Penny Nom.
	Solve for x		2012-05-12
		From Desiree: 3x -5^2=8 Answered by Penny Nom.
	Water in a hemispherical bowl		2012-05-12
		From Jimmy: A bowl of water, being a hemisphere has a radius of 36cm. Water is filled in the bowl and has depth of 18 cm. Find the surface area of the water? Answered by Penny Nom.
	Golf for 6		2012-05-12
		From Steve: We have six golfers playing in two threesomes for six rounds of golf. Can you help solve this so that everyone plays with everyone else the same amount of times or close to it? Thanks! Answered by Victoria West.
	Drawing an isosceles triangle		2012-05-10
		From Nazrul: How can I draw an isosceles triangle whose each angle adjacent to the base is twice the vertex angle? Answered by Chris Fisher.
	Cycling and running		2012-05-07
		From liz: a biathlete travels 20 miles in 2.25 hours. She cycles part of the way at 12 mph and runs the rest at 5 mph. How far did she run? Answered by Penny Nom.
	Buying school books		2012-05-06
		From abanoub: the school fair books cost $4.89 each if Suzy brought $98.76 with her how many books could she buy? Answered by Penny Nom.
	The nth term		2012-05-05
		From Justin: Which expression can be used tofind the nth term in this sequence? 94,75,56,37,18,..... My choices are A. -19n=113        B. -21n+115 C. -19+75        D. 21n+73 Please explain how to get the correct answer. I think it is A. but I am not sure, Answered by Penny Nom.
	A 25% sulfuric acid solution		2012-05-03
		From Scott: In order to make a 25% solution with 96% Sulfuric Acid, how much of the Sulfuric do I add to DI water to make up 2000ml?? Answered by Penny Nom.
	Golf: 8 players over 4 days in 4-balls		2012-05-03
		From JimB: I cannot seem to get this to work. Previous answers cover 2-balls, but we are 4-balls. What we really want is for each player to play with each other, at least once and no more than twice. Ideally, each would also play equally in the first and the second 4-ball of the day. Answered by Victoria West.
	The maximum distance from the vertex of a triangle		2012-05-02
		From David: There are three towns A,B,and C, equi-distant apart. A car is 3 miles from town A, and 4 miles from town B. (ie, somehwere outside of the triangle which the three towns form) What is the maximum distance that the car can be from town A? This was asked as quiz question in my local pub last Sunday. The answer is 7. How do I prove it? Best regards. David in Denton. Answered by Robert Dawson and Chris Fisher.
	A pie chart		2012-05-01
		From muhammad: How can i construct a pie chart on the following of the combunation of students:- Sos 50, Crs 25, Eng 100, Iss 75, Geo 150, Hist 10 Answered by Penny Nom.
	The dimensions of a rectangle		2012-04-30
		From Nikki: Name the dimensions of a rectangle that has the same area as this triangle? I found the area of the triangle, which is 30. What do I have to do in order to complete this math problem? Answered by Penny Nom.
	Two ways that a deck is square		2012-04-30
		From romel: describe two ways that a deck is square Answered by Penny Nom.
	Third side of a irregular triangle.		2012-04-27
		From Darya.: How to find third side of irregular triangle if c = 17m, b = 28m and area S = 210m^2. Answered by Penny Nom.
	The parameterization of a parabola		2012-04-27
		From Shawna: I am having problems finding the parameterization of a parabola. The question I was given is: Find the work done if a particle moves from the points (-2,4) to (1,1) along the parabola y=x^2, while subject to the vector force of F=(x^3y,x-y). So how would I start with finding the parameterization of a parabola? Answered by Penny Nom.
	Factoring		2012-04-26
		From Amanda: y=x^2-9x Answered by Penny Nom.
	A circle inscribed in a triangle inscribed in a circle		2012-04-26
		From Maty: How do i find the area of a triangle inscribed a circle while another smaller circle is circumscribed by the same triangle and the radius is 8. Answered by Chris Fisher.
	The exponential form of log8=P		2012-04-25
		From Kristina: what is the exponential form of log8=P Answered by Penny Nom.
	The circumcentre and orthocentre of a triangle		2012-04-25
		From Nazrul: The circumcentre and orthocentre of a triangle is given. A point on a side of the triangle given. A vertex of the triangle on the circumcircle is also given. How can I draw the triangle? Please Help me. Thank you for answering my previous questions. Answered by Chris Fisher.
	How to find the base length of a isosceles triangle if only the sides are given?		2012-04-25
		From aqilah: how to find the base length of a isosceles triangle if only the sides are given? Answered by Chris Fisher.
	A puzzle with a triangle and 57		2012-04-25
		From sharon: Question from sharon, a parent: We have been battling with this for days and cant find any solution - Using each of the following numbers once, fill all the spaces in the triangles so that each side of the triangle adds up to 57 numbers are 11,12,13,14,15,16,17,18,19 diagram is -       0           0   0       0   57   0   0   0   0   0   Any ideas ? this has to be in in just over 24 hrs ......help! Answered by Chris Fisher.
	A sloped yard		2012-04-24
		From William: Trying to calculate fill dirt for leveling a sloped yard to place a slab. Slab is 30'x40', yard slopes from corner #1 south 40' to Corner #4 drop is 11". From corner #1 east 30' to corner #2, drop is 11 1/4". From corner #1 southeast at a 45 degrees, 50' to corner #3, drop is 19 3/4". Corners numbered in a clockwise direction. Answered by Penny Nom.
	The circumcentre, centroid and orthocentre of a triangle		2012-04-24
		From Nazrul: The circumcentre, centroid and orthocentre of a triangle is given. The distance between circumcentre and orthocentre is also given. How can I draw the circle? Please Help me. Answered by Chris Fisher.
	A parabolic bridge		2012-04-24
		From Adiba: A bridge constructed over a bayou has a supporting arch in the shape of a parabola .Find the equation of the parabolic arch if the length of the road over the arch is 100 meters and the maximum height of the arch is 40 meters. I did the problem but not sure is it correct . I did like this f(0)=0we get c=40 if we took quadratic equation in x for a down ward parabola then how to find b and a please show me the answer of either a or b .Or I should use the standard form of parabola y=a(x-h)^2+k then how to find a,h,k please help me Answered by Penny Nom.
	2x^2+5x+2		2012-04-23
		From eddie: 2x^2+5x+2 Answered by Penny Nom.
	A common chord to two circles		2012-04-22
		From Nicole: What is a common chord between two circles and how is it found in the problem: Two circles intersect and have a common chord, the radii of the circles are 13 and 15, the distance between the circle's centers is 14, find the common chord. Answered by Penny Nom.
	Gray siding and stone chimneys		2012-04-22
		From lupita: Fifty houses are on the north side of a river. The 2nd house has gray siding, and every 5th house after that also has gray siding. The 11th house has a stone chimney; every 3rd house after that also has a stone chimney. How many of the 50 houses have stone chimneys but do not have gray siding? Answered by Penny Nom.
	The sarsen circle		2012-04-21
		From Firdous: I found the circumference but after what to do I am not getting the question is.The diameter of the sarsen circle is 33 meters,since there were originally 30 sarsen stones located on the circumference, how far apart wold the centres of the stones have been?Round to the nearest tenth of a meter. Answered by Penny Nom.
	The area of a quadrilateral		2012-04-21
		From Rajat: calculate the area ABCD in which AB is 48'1'',BC is 98'4'',CD is 61'4'',DA is 102'10'',AC is 110'3'',BD is 116'9''. Answered by Penny Nom.
	Golf for 12		2012-04-20
		From glenn: need to schedule 12 players for a 20 week season Answered by Victoria West.
	Golf for 12		2012-04-20
		From Bram: We are heading on a golf trip with 12 guys, playing 6 rounds. Can you please provide the formula whcih which have the least duplication. Thanks in advance, Bram Answered by Victoria West.
	Liters and gallons		2012-04-20
		From ann: the fuel tank of jacks car hold 72 litres when full jack uses half a tank of fuel he travels240 miles how many miles does he cover for each gallon of fuel Answered by Penny Nom.
	16 golfers		2012-04-20
		From steve: i have 16 golfers, 4 in "A" flight , 4 in "B" flight , 4 in "C" and 4 in "D" We are playing 4 rounds (4 teams of 4) and every group must have a player from the A B C an D flight, and in no round may 2 people have already played together! Answered by Victoria West.
	The inverse of y = x^2 - 2x		2012-04-20
		From Shona: How do I Find the inverse of the function y= x^2 - 2x ? Answered by Penny Nom.
	Ratios		2012-04-20
		From olawale: if 3 boys share y mangoes among themselves in the ratio x : 2x : 3x. if the largest share was 30, find the value of y. Answered by Paul Betts.
	What was the class average?		2012-04-20
		From olwale: a class which consist of 15 boys and 10 girls sit for a test. the average score of the boys is 20 and the girls' is 25. find the average score of the class. Answered by Penny Nom.
	5 machine make 5 gadgets in 5 minutes		2012-04-20
		From Charles: 5 machine make 5 gadgets in 5 minutes, so how long does it take for 100 machines make 100 gadgets? Answered by Penny Nom.
	Percentage change		2012-04-19
		From Christine: For my intermediate macroeconomics class, there is a question about percent change. The numbers are: Quantities of oranges in 2010: 104 Quantities of oranges in 2009: 100 How would I calculate to find the percentage change in quantities? Answered by Penny Nom.
	Golf for 12		2012-04-18
		From Brent: I have a golf group that is set up as follows: 12 players, broken into 2 teams of 6. I am looking for a formula to have one player from team A play against one player for team B each round, not repeat the match, and ride with as little duplication as possible. I know that it is not statistically possible with these numbers and will have at least one round that has duplication. Answered by Robert Dawson.
	Golf for 10		2012-04-18
		From Bob: Question from Bob: Hi, I am trying to set up pairings for 4 rounds of golf with only 10 golfers (2 foursomes and 1 twosome) and trying to minimize duplications. Any formulas or help? Answered by Victoria West and Harley Weston.
	An equation of the form y=mx		2012-04-17
		From Samiya: what would be an equation of the form y=mx with the points (-2, 6) and (1, -3) for the line? Answered by Penny Nom.
	What is the prime factor form of 7/5?		2012-04-17
		From David: What is the prime factor form of 7/5 Answered by Robert Dawson.
	Profit as a percent		2012-04-14
		From Anson: The cost price of a CD is $50 and its marked price is $105. If the selling price is $88, find the profit percent. Answered by Penny Nom.
	A pyramid on a regular hexagon		2012-04-14
		From deepak: There is pyramid on a base which is a regular hexagon of side 2a cm. If every slant edge of this pyramid is of length 5a/2 cm, than what will be the volume of this pyramid Answered by Penny Nom.
	A tangent line to a circle		2012-04-14
		From Novelyn: find an equation of the line tangent to a circle with equation x^2+y^2+6x-8y-27=0 at the point P(1,-2) Answered by Penny Nom.
	A 14 man golf league		2012-04-12
		From Paul: 14 man golf league. Need to have alternating 2 man teams for 18 weeks. Need to rotate foursomes so no one is stuck in twosome more than once. Can you help? Answered by Robert Dawson and Victoria West.
	A golf league with 2 man teams		2012-04-11
		From Cosmo: wanting to set up a golf league with 2 man teams. There are 14 A players and 14 B players.We want each A player to team with each B player once and each A player to play against each other A player once.Is this possible Answered by Victoria West.
	Two cars approach a right-angled intersection		2012-04-10
		From Michael: Two cars approach a right-angled intersection, one traveling south a 40km/h and the other west at 70km/h. When the faster car is 4km from the intersection and the other case if 3km from the intersection, how fast is the distance between the car cars changing? Answered by Penny Nom.
	The height of a cylindrical container		2012-04-10
		From Rodney: a cylindrical container has a radius of 6cm. the container is holding 255 cm3 of water. rounded to the nearest quarter inch, what is the minimum height of the container? Answered by Penny Nom.
	Golf for 28		2012-04-10
		From EARL: HI, I HAVE 28 GOLFERS AND I NEED A SCHEDULE FOR 5 DIFFERENT DAYS THERE WILL BE 7 GROUPS OF 4 PLAYERS EACH DAY. ALL PLAYERS WOULD LIKE TO PLAY WITH ONE ANOTHER ONCE AND NOT PLAY WITH EACH MORE THAN ONCE IF POSSIBLE OR LIMIT THE TIMES A GOLFER PLAYS WITH ANOTHER TO A MINIMUM IF POSSIBLE. (PLEASE SEND AN EXAMPLE OF THE SCHEDULING OF THE GROUPS FOR THE TEE OFF ORDER) THANKS FOR ANY SOLUTIONS YOU CAN PROVIDE. EARL Answered by Robert Dawson.
	Using Newton's Method to find a root		2012-04-09
		From Nancy: Use Newton's method to find the real root function, accurate to five decimal places f(x) = x^5+2x^2+3 Answered by Penny Nom.
	A semi-circular roof gutter		2012-04-09
		From Kyle: A semi-circular roof guttering contains some water. The cross-section of the guttering has a diameter of 10 centimetres. The surface of the water collected in the guttering is 8cm. What is the depth of water in the gutter? Answered by Penny Nom.
	A maximization problem		2012-04-09
		From Nancy: After an injection, the concentration of drug in a muscle varies according to a function of time, f(t). Suppose that t is measured in hours and f(t)=e^-0.02t - e^-0.42t. Determine the time when the maximum concentration of drug occurs. Answered by Penny Nom.
	The spread of a rumor		2012-04-09
		From Roohi: The function f(t) = a/(1+3e^(-bt)) has also been used to model the spread of a rumor. Suppose that a= 70 and b=3 0.2. Compute f(2), the percentage of the population that has heard the rumor after 2 hours. Compute f'(2) and describe what it represents. Compute lim t approaches infinity and describe what it represents. Answered by Penny Nom.
	A number puzzle		2012-04-07
		From Kenya: my number is less than 25 my number of tiles will make only one rectangle my number is odd my number is a factor of 36 Answered by Penny Nom.
	Water is flowing from tank A to tank B		2012-04-06
		From Noel: At First, Tank A was completely filled with water. The tap from Tank A was then turned on and water flowed out at a constant rate. The water which flowed out was collected into Tank B. At the end of 6 minutes, Tank A was 2/3 full. After a further 8 minutes, Tank A had 2.4 liters of water left while Tank B was completely filled with water. Find the capacity of Tank B. Answered by Penny Nom.
	A 12 foot long board		2012-04-05
		From Lesley: If I have a board 12 feet long and am building shelves 2 1/4 feet in length, how many inches are left? Answered by Jaymi Peterson and Penny Nom.
	A rectangular prism		2012-04-05
		From Tori: How do you find the base height if the base width is 10ft. The height is 7ft. And the volume is105ft. Answered by Penny Nom.
	The surface area of the tetrahedron		2012-04-04
		From youssef: how to find the total surface area of the tetrahedron ? Answered by Penny Nom.
	The area of a right triangle		2012-04-03
		From Shelli: How do you find the area of a right triangle if you only know that the hypotenuse is 10 and that the base and height are unknown but are equal? Answered by Penny Nom.
	Radioactive decay		2012-04-02
		From Christy: Hello, how do I go about answering this question? Should I be using the formula Ce^(kt)? Given that the decay constant for Radium is -.000428/year, how long, to the nearest year, does it take a sample to decay to 15% of its present mass? Answered by Penny Nom.
	A question about a pattern		2012-04-02
		From Steven: A B C D E F (G) 1 3   100 100 33 (67) D is divided by A and B to give E and F the difference between E and F is G 2 4 110 210 105 53 (52) C is added to D to give the new D number. 3 5 120 330 110 66 (44) 4 6 130 460 115 77 (38) 5 7 140 600 120 86 (34) Following the pattern you might expect a massive increase in C to result in a significant decrease in G but... 6 8 1000 1600 267 200 (67) G actually increases and goes back to square 1 Why? Answered by Robert Dawson.
	1+2+4+8....= -1		2012-04-02
		From Andy: In this minutephysics video, it's claimed that 1+2+4+8....= -1 Is this true, and if so, how? < href="http://www.youtube.com/watch?v=kIq5CZlg8Rg">http://www.youtube.com/watch?v=kIq5CZlg8Rg Answered by Robert Dawson.
	A circle drawn around a equilateral triangle		2012-04-01
		From BIMAL: what is the diameter of a circle drawn around a equilateral triangle of size 6 cm Answered by Penny Nom.
	What is the better price?		2012-03-30
		From john: What is the better price? If a bag of mulch sells for $6.75 and contains 2.7 cubit feet versus a bag selling for $5.99 and contains 2 cubit feet. Which is the better value? Answered by Penny Nom.
	A lot with a slope		2012-03-30
		From Carlos: I have a lot with a slope. On the right I need to bring it up 2', From that point to the left is 112' which at this point I need to bring it up 5' for it to be level . The distance front to back is 80'. What is the cubic yards of this area that I need to fill in. Answered by Harley Weston.
	Golf for 17		2012-03-29
		From Richard: Hi Guys, I have a scheduling problem which I don't think you have covered before. Apologies if you have! I have 17 golfers due to play 4 rounds of golf. Each round will consist of 3 threeballs and 2 fourballs (ie. 17 golfers in 5 groups)! Is it possible to come up with a schedule where each golfer plays with different partners in each round? Answered by Robert Dawson.
	The period T of a pendulum		2012-03-27
		From Ashley: The period T of a pendulum is given in terms of its length, l, by T=2pi sqrt(l/g) where g is the acceleration due to gravity(a constant) a. find dT/dl b. what is the sign of dT/dl c. what does the sign of dT/dl tell you about the period of the pendulums? Answered by Penny Nom.
	A uniform probability density function		2012-03-26
		From Noeline: The label on a bottle of liquid detergent shows contents to be 12 ounces per bottle. The production operation fills the bottle uniformly according to the following probability density function: f(x) = 8 for 11.975 ≤ x ≤12.10 and f(x) = 0 elsewhere a. What is the probability that a bottle will be filled with 12.02 or more ounces? b. What is the probability that a bottle will be filled between 12 and 12.05 ounces? c. Quality control accepts production that is within .002 ounces of number of ounces shown on the container label. What is the probability that a bottle of this liquid detergent will fail to meet the quality control standard? Answered by Penny Nom.
	The equation of a line		2012-03-26
		From Danielle: Hello, could you help me figure out what the equation of the line is in the form of Ax+By=C with the points (-2,0) and (0,3)? Thank You! Answered by Penny Nom.
	The derivative of 2sin cubed x - 3 sin x		2012-03-25
		From holly: suppose f(x) = 2sin cubed x - 3 sin x show that f 1(x) = -3 cos x cos 2x Answered by Harley Weston.
	Painting a pool		2012-03-25
		From Salai: A swimming pool measures 8m long, 6m wide and 1.5 m deep. The special paint for the pool cost $6per square metre. How much will it cost to paint the interior surfaces of the pool ? Answered by Penny Nom.
	A cubic inequality		2012-03-25
		From Victoria: The flight path of a bumblebee above the ground can be modelled by the function f(x)= 2x^3- 17x^2+ 11x + 130. Where x is the time in seconds and f(x) represents the height in inches above the ground. The entrance to the bee's hive is located 100 inches above the ground. Determine when the bumblebee's height is greater than 100 inches. The bee's height was monitored from 0 to 25 seconds inclusive. (over the domain 0 Answered by Penny Nom.
	The remainder theorem		2012-03-25
		From Victoria: When k^2 + 3kx + 13k +k^2x - 3x^2 is divided by (x-4) the remainder is 22. Find the value(s) of K. Answered by Penny Nom.
	The power set of A		2012-03-24
		From rashdin: Can you find a set A, |A|=4 and define a bijective function between A and P(A)? Answered by Penny Nom.
	Angle measures		2012-03-21
		From jogiboy: how can i get the sine theta if the given is 3.14/3 Answered by Penny Nom.
	How long will it take lee to catch up with jodie?		2012-03-21
		From kirsten: for example, if jodie is on the bus travelling at 10 m.p.h and lee is walking at 4 m.p.h how long will it take lee to catch up with jodie?? what is this mathematical name for this Answered by Harley Weston.
	A steamroller with a 3 foot diameter and a 6 foot width makes 20 revolutions		2012-03-21
		From Robert: A steamroller with a 3 foot diameter and a 6 foot width makes 20 revolutions. How much ground area does it pave? Answered by Penny Nom.
	Gravel, sand, cement and an equilateral triangle		2012-03-21
		From saheed: how many tonnes of gravel and sand,bags of cements will be required to concrete 5feet depth/deep of 4feet equilateral triangle? Answered by Harley Weston.
	Two overlapping circles		2012-03-21
		From Monty: If you have a 3.75" radius circle overlapping a 5" radius circle with their centers 3" apart what would be the area of the non-overlapped portion of the small circle? Answered by Penny Nom.
	The area of an irregular hexagon		2012-03-20
		From Jacob: I am having trouble finding the area of an irregular hexagon with 5 right angles. It has 5 given sides, with the lengths as follows: 8.2 ft. 6 ft. 4.5 ft. 2.2 ft. 6 and one third ft. Answered by Chris Fisher.
	Remainders		2012-03-18
		From Leslie: Question: Janice has some marbles. When she divides them into groups of 4, she has 2 marbles left over. If she divides them into groups of 5, she will also have 2 left over. What is the least number of marbles she can have? Answered by Penny Nom.
	The length is inversely proportional to the width		2012-03-18
		From David: For a given set of rectangles, the length is inversely proportional to the width. In one of these rectangles, the length is12 and the width is 6. For this set of rectangles, calculate the width of a rectangle whose length is 9 Answered by Penny Nom.
	The price per square inch of a pizza		2012-03-17
		From jordan: pizzaz pizza sells a small pizza for $10.99.it has a diameter 10 inches.what is th price per square inch ? Answered by Penny Nom.
	Square numbers		2012-03-17
		From david: How many square numbers are there between 0 to 100? Answered by Penny Nom.
	A vertical line passing through (10,4)		2012-03-16
		From Isabelle: Hi! My question is this: Write the equation of each line described: A vertical line passing through (10,4) I would really appreciate your help! Thanks, Isabelle Answered by Penny Nom.
	Forming a triangle from 3 line segments		2012-03-15
		From rustom: A point X is selected at random from a line segment AB with midpoint 0. Find the probability that the line segments AX, XB, and A0 can form a triangle. Answered by Penny Nom.
	Probability		2012-03-14
		From tom: Let A and B be events with p(A ∪ B)= 7/8, p(A ∩ B)= 1/4, p(A' )= 5/8 Find: a. p(A) b. p(B) c. P(A ∩ B') ...problem for me is that if p(A') = 5/8 then P(A) should be 1/4...so that the p(A' ∪ A) = p(A ∪ B) = 7/8...however, the book says the answer for p(A) is 3/8...does that mean, my interpretation is wrong (because if it is, then all my answers would be crap)...or is it just another typographical error? Answered by Penny Nom.
	An increase/decrease in profit		2012-03-13
		From Thanikasalam: It is understood that increase/decrease in profit for current year compared to the previous year is done by the formula (x-y)/y, with x=profit on current year and y=profit on previous year. How do we derive this formula? If we work on this formula of calculating increase/decrease in profit, we get x/y-1 * = (x-y)/y = x/y - y/y = x/y - 1 How do you justify the 1 in the equation above. How to derive the formula and how do i prove it? Answered by Penny Nom.
	The dimensions of a rectangle		2012-03-13
		From irvyn: if you are only given the area and the perimeter how do you find the dimension? Answered by Penny Nom.
	Factoring a quadratic		2012-03-13
		From Makell: X^2 + 32x + 220 = 0 Answered by Penny Nom.
	A trapezoidal prism filled with sand		2012-03-12
		From Maria: could a Trapezoid that is 80 inches high with a 54 inch width top and a 89 inch width bottom and a 80 inch depth hold 58 cubic yards of sand? Answered by Robert Dawson.
	Circles		2012-03-11
		From Deniz: Two circles are externally tangent and the lengths of their diameters are 4 and 6. Find the length of the segment joining the centers of the circles. Answered by Penny Nom.
	Buying school supplies		2012-03-09
		From Jada: Hi, my daughter is having difficulties with a problem she is in the 5th grade, and insisted that it was a guess and check problem, but she really doesn't understand, and I don't either. Can you help us out? Danielle is buying school supplies. She has $7.25 to spend. Notebook: $0.75 Pencils: $1.95 Pens: $2.50 Planner: $5.00 Please help by explaining the guess and check strategy for a problem like this. Thank you. Answered by Penny Nom.
	A clock takes 3 seconds to strick the hour of 3 o'clock		2012-03-09
		From saptarshi: [ A clock takes 3 seconds to strick the hour of 3 o'clock. How many seconds will it take to strick 9 o'clock?] Answered by Robert Dawson.
	A water tank is in the shape of a truncated cone		2012-03-08
		From Victoria: Suppose you have a water tank in the shape of a truncated cone. The larger diameter is K, the smaller diameter is K/2, and the height is also K (all measured in meters). The force of gravity on an object of mass, m, is F=9.8m (measured in Newtons). The density of the water is 1000 kilograms per cubic meter. What is the volume of the tank and how much mass will the tank have when it is full? Answered by Penny Nom.
	81+8 to the 3 power		2012-03-08
		From KiMesha: 81+8 to the 3 power Answered by Penny Nom.
	A Performance Appraisal		2012-03-06
		From Reuel: Hello: I'm looking for an answer to this one: If I have 428 staff for Performance Appraisal the year 2011 my suggestions for rating their rankings would be: 5% can be no. 1 which would mean 21 employees 15% can be no. 2 which would mean 64 employees 60% can be no. 3 which would mean 257 employees 15% can be no. 4 which would mean 64 employees 5% can be no. 5 which would mean 21 employees However, what I have received is this: 5% are no. 1 which would mean 20 employees 22 % are no. 2 which would mean 94 employees 60% are no. 3 which would mean 270 employees 15% are no. 4 which would mean 41 employees 5% are no. 5 which would mean 3 employees Now my question is how do I find the percentage difference between both the scenarios of should be versus reality? I don't think it is normal subtraction, is it? any help would be appreciated. Best Regards, Reuel Answered by Harley Weston.
	[Difference between percentages and percentages]		2012-03-06
		From Reuel: Hello: I'm looking for an answer to this one: If I have 428 staff for Performance Appraisal the year 2011 my suggestions for rating their rankings would be: 5% can be no. 1 which would mean 21 employees 15% can be no. 2 which would mean 64 employees 60% can be no. 3 which would mean 257 employees 15% can be no. 4 which would mean 64 employees 5% can be no. 5 which would mean 21 employees However, what I have received is this: 5% are no. 1 which would mean 20 employees 22 % are no. 2 which would mean 94 employees 60% are no. 3 which would mean 270 employees 15% are no. 4 which would mean 41 employees 5% are no. 5 which would mean 3 employees Now my question is how do I find the percentage difference between both the scenarios of should be versus reality? I don't think it is normal subtraction, is it? any help would be appreciated. Best Regards, Reuel Answered by Harley Weston.
	2x^3*2x^2/3x^2		2012-03-06
		From hope: 2x^3*2x^2/3x^2 Answered by Penny Nom.
	A lost combination		2012-03-06
		From pam: I lost the combination for my luggage that I haven't used for many years. It is a 3 digit combination. I'm pretty sure only these numbers could have been used: 0,1,2,3,7,8,9. Can you give me a calculated list of all these combinations? Answered by Penny Nom.
	The dimensions of a conical tent		2012-03-04
		From yash: a conical tent is to accommodate 11 people.Each person must have 4m square of space on the ground and 20m cube at air to breathe.Find the height and radius of the conical tent.26202 Answered by Penny Nom.
	Tina is older than Catherine by 1 year and 7 months		2012-03-03
		From jennifer: Tina is older than Catherine by 1 year and 7 months. Karen is younger than Tina by 2 years and 11 months. If Karen is 7 years and 2 months old, find out Catherine's age. Answered by Penny Nom.
	Percentage of water in a soil sample		2012-03-01
		From avi: what i need is the formula in getting the percentage from gram. situation: i need to know how many percent will i declare in getting the moisture of a soil sample i weighed 2,000 grams of soil before i dried it out in the oven, after few hours the recovery of the dried out soil is 1,700 grams. How many percent will be the water content? kindly send me a formula in computing this. thank u very much! Answered by Penny Nom.
	The area and perimeter of a rectangle		2012-03-01
		From RAJIB: PEREMETER OF A RECTANGLE IS 24. FIND THE AREA ? Answered by Penny Nom.
	The height of an equilateral triangle		2012-02-29
		From Carley: Hi my name is Carley. I am an 8th garder. What us the height of an equilateral triangle si the sides are 18 cm? Answered by Penny Nom.
	Mr. Schneider's mass		2012-02-29
		From Khiya: Mr. Schneider's mass is 2 digits. The first digit is 3 times the second digit. Both digits are odd numbers, and his mass is greater than 35 kg. What is Mr. Schneider's mass? Answered by Penny Nom.
	Measuring the liquid in a horizontal tank		2012-02-28
		From Philip: I have a steel gas tank that is 3' dia X 5' length. The total volume is 1000 litres. But how much is left when I use a stick and measure 6" from the bottom or 12" or 24" ?? Is there a formula to use for this task? Thanks. Answered by Harley Weston.
	The weight of a steel plate		2012-02-27
		From david: what is the weight of a steel plate that is 1/2" thick, 20" wide, and 45"long if the steel weigh .28 lb per cubic inch. Answered by Penny Nom.
	Tiling a floor		2012-02-27
		From jamie: how many 16in by 16in blocks would it take to cover a 16ft by 16ft floor? Answered by Penny Nom.
	A max min problem		2012-02-26
		From Christy: Hello, I have no idea where to start with this question. Bob is at point B, 35 miles from A. Alice is in a boat in the sea at point C, 3 miles from the beach. Alice rows at 2 miles per hour and walks at 4.25 miles per hour, where along the beach should she land so that she may get to Bob in the least amount of time? Answered by Penny Nom.
	Four digit combinations from 1,2, ..., 9		2012-02-26
		From Errol: show me a list with all four digit combination numbers from 0 -9 Answered by Penny Nom.
	Parametric equations 2		2012-02-25
		From Kathy: If the angle at time 0 is not 45 degrees how can you find the initial velocity? Ball thrown from height of 7 feet. Caught by receiver at height of 4 feet after traveling 90 feet down the field. Find initial velocity. You had a similar problem answered but the angle was 45 degrees so the cos and sin were equal and the equations were simpler to work with. Thank you! Answered by Harley Weston.
	A geometric sequence		2012-02-24
		From Camille: Find x if the sequence 5,10,x+2 is geometric. Answered by Penny Nom.
	Expected value		2012-02-24
		From Lara: A life insurance company sells a $250,000 1-year term life insurance policy to a 20-year-old male for $350. According to the National Vital Statistics Report the probability that the male survives the year is 0.998734. Compute and interpret the expected value of this policy to the insurance company. I'm very confused on how to do this. I assume x is the profit the insurance company makes in the year of $350 but beyond that I don't know what to do. Thanks. Answered by Penny Nom.
	Integral 1/(25-x^2)^3/2		2012-02-22
		From John: Integral 1/(25-x^2)^3/2 Answered by Harley Weston.
	The volume of an irregular tetrahedron		2012-02-22
		From Brittany: If I am given an irregular tetrahedron with the coordinates of the 4 points how do I find the volume? For example I am asked to find the volume and only given the points A(-4,-3,5), B(2,-1,2), C(0,-5,0), and D(-2,0,0) can you shown me the working and formular to find the volume? Answered by Robert Dawson.
	Dt[sin t tan (t^2+1)]		2012-02-21
		From Ayu: Ayu Dt[sin t tan (t^2+1)] derivatives Answered by Harley Weston.
	6/2(1+2)=?		2012-02-21
		From boyong: 6/2(1+2)=? Answered by Harley Weston.
	A 23 acre airport runway		2012-02-21
		From Ron: I have a 23 acre plot. If it were in a straight line, would it be enough distance for a plane to take off and land if the plane needed 1 mile? Answered by Robert Dawson and Penny Nom.
	The 10000th day of her life		2012-02-21
		From derrick: Ella was born early in the morning on a Friday.She got married on the 10000th day of her life. What day of the week was it? Answered by Penny Nom.
	Tim sells 6 times as many oranges as apples		2012-02-20
		From Bronwen: Tim sells 6 times as many oranges as apples. If he sell 490 in total one morning, how many of each type were sold? Answered by Penny Nom.
	A circle inscribed in a quarter circle		2012-02-20
		From sonam: ABC is a quarter circle and a circle is inscribed in it and if AB=1cm than find radius of a small circle. Answered by Penny Nom.
	Demarkus is paving a new driveway		2012-02-19
		From Anita: Demarkus is paving a new driveway for a local YMCA volunteer club. The driveway is 90 yards long and 6 yards wide. If the concrete cost $2.50 per square foot, how much will it cost Demarkus to cover the driveway? Answered by Penny Nom.
	If x ix directly proportional to y then ...		2012-02-19
		From Crystal: I understand that we say x and y are proportional, then y = kx. Generally when we say x is proportional to y, we think that when x increases y increases. Now I am questioning whether that is actually true. If k is negative, then when x increases, y DECREASES. My question is does this mean this statement is incorrect: If x is proportional to y, when x increases, y increases proportionally. Is it more correct to say: If x is proportional to y, when x increases, y either increases proportionally or decreases proportionally. Along the same line of reasoning, when x is inversely proportional to y, we think that when x increases y decreases, but that is true only if k is positive. Is that correct? Answered by Harley Weston.
	The (i, j) entry of a matrix		2012-02-17
		From Bilyaminu: Question Bilyaminu Find a formula for the (i,j) entry of a matrices: A= [1 2 3 4; 5 6 7 8; 9 10 11 12; 13 14 15 16] Answered by Harley Weston.
	240 acres		2012-02-17
		From jon: How many linear feet are in a 240 acre rectangle piece of property Answered by Harley Weston.
	Fractions and proportions		2012-02-16
		From Kenneth: Hello: I read the following in an old textbook: Display the numbers 27, 18, 26, and 39 so as to form a proportion. Which set of equal fractions is correct? 18/27 = 26/39 18/26 = 27/39 I thank you for your reply. Answered by Penny Nom.
	Margie threw a ball		2012-02-16
		From mary: at 9:45 Margie threw a ball upwards while standing on a platform 35ft above the ground. The height after t seconds follows the equation: h(t)= -0.6t^2 +72t+35 a) what will be the maximum height of the ball? b)how long will it take the ball reach its maximum height?? Answered by Harley Weston.
	Figures with dots		2012-02-15
		From A: Okay so my daughter came home and had this question for homework from her teacher. I have no idea what it means HELP!! The question shows a figure that is a square. It has 5 dots on the top, bottom and on the sides looks similar to this: . . . . . .       . .       . .       . . . . . . they want to know 3 more ways to show the number of dots in the figure. They have already shown one with just counting them and the other one that they showed was circling the four corner dots and then taking the dots in between with a number sentence set up like this: 4+4*(5-2) = 4+4*3= 16. They also besides giving 3 ways want us to write a number sentence and an algebraic sentence to show the number of dots in the figure with "n" sides. Please help! So confusing ! I don't know if my square turned out or not but it should be 5 across the top and bottom and on the sides and no dots in teh middle it is just the outside. Answered by Penny Nom.
	A word problem		2012-02-15
		From Bo: Jane guessed a number. Tom guessed a number that was double the sum of 1 more than twice the number guessed by Jane. Sum of the numbers guessed by both were 27, what are the numbers? Answered by Penny Nom.
	36 golfers		2012-02-15
		From Steve: We will have 36 golfers playing 4 rounds of golf and would like to have different foursomes each round. In other words, no player will play with another more than once. Answered by Harley Weston.
	A cylindrical container		2012-02-14
		From KRIS: YOU ARE PaCKAGING 4 EQUAL SIZED PAINT CANS WITH A RADIUS 8CM AND A HEIGHT OF 20CM, IN A CIRCULAR CONTAINER.What is the surface area of the packing container? Answered by Penny Nom.
	Jack and Kate set off in their cars ...		2012-02-13
		From akiri: Jack and Kate set off in their cars from the same point to travel the same journey. Jack has a start of eight minutes before Katie sets off. If Jack travels at 50mph and Katie travels at 75mph, how many miles will be travelled when the two cars are level? Answered by Penny Nom.
	A storage box with a slanted roof		2012-02-13
		From Sophia: Hi! I have another problem. The diagram shows a side view of a box which is used to store small logs of wood for burning in a fire place. The slopping lid has an overhand of 15cm. a) Calculate the total length of the slopping lid to the nearest cm. b) When the lid is open above ground will the end of the lid be? P.S. Please see attached. Answered by Penny Nom.
	Simplify the expression		2012-02-12
		From Christy: Hi guys, ok so I'm having problems with solving this equation since it's been so long I've done precal. I have to find critical points so I have to find the derivative first. This is what I've done so far s(t)= (t-6)^4 * (t+1)^2 t'= 4(t-6)^3*(1)*(t+1)^2+ 2(t+1)(1)*(t-6)^4 so this is where I got stuck, which is the algebra part. How can I simplify this to get the answer to figure out the critical points. Answered by Penny Nom.
	A 3 to 1 ratio of girls to boys		2012-02-12
		From amanda: At a recent school dance it was observed that there was a 3 to 1 ratio of girls to boys. If 204 students attended the dance, how many boys, and how many girls were there? Answered by Penny Nom.
	A circle and a chord		2012-02-11
		From Sophia: The diagram shows a circle with a chord that is 10cm long. The middle of the chord is 12cm from the centre of the circle. Calculate the radius. Chord length is 10cm. The distance from the centre to chord is 12 cm. Answered by Penny Nom.
	Can the result of the calculation be 2?		2012-02-09
		From Thomas: You have the digits 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9 in a random order side by side and put randomly between two digits a colon, so that a division comes into existence. Can the result of the calculation be 2? Answered by Robert Dawson and Chris Fisher.
	Litres in a box		2012-02-09
		From vicky: how much litre water can be filled in a box of 12 inches *24 inches *12inches Answered by Penny Nom.
	Two circles		2012-02-08
		From crisfe: find the point where the common cord of the circles x2+y2=25, x2+y2-12x-6y+35=0 process there line centers. what point they intercepts? Answered by Penny Nom.
	A tree growth modelled by a geometric series		2012-02-08
		From Steph: Hi I am really struggling with this question please help !!!! a pohutukawa tree is 86 centimetres when it is planted. in the first year after it is planted , the tree grows 42 centimetres in height.Each year the tree grows in height by 95% of the growth of the previous year. assume that the growth in height of the pohutukawa tree can be modelled by a geometric sequence. A)find the height of the tree 5 years after it is planted and figure out the maximum height the pohutukawa tree is expected to reach in centimetres Answered by Penny Nom.
	Wallpapering a room		2012-02-08
		From jimmy: Ms. Frank is going to wallpaper a living room with dimensions 24 feet long, 18 feet wide, and 8 feet high. What surface area does Ms. Frank plan to wallpaper? Answered by Penny Nom.
	The curvature of the earth		2012-02-08
		From sean: Question from sean, a student: Two people 1.8 metres tall walk directly away from each other until they can no longer see each other (due to the curvature of the earth, which has a radius of about 6378 km). A) Find a function relating the height of two identical objects with the distance between them using the scenario above as an example. B) Sketch this function (you may use Graphmatica if you wish). Over what domain and range does the function exist? C) Describe this relation in practical terms. Answered by Harley Weston.
	A road around a garden		2012-02-07
		From Manu: Inside a square garden of side 158m, a road 4m wide is built all around. What is the area of the remaining part of the garden? Answered by Penny Nom.
	The volume of a round tube		2012-02-07
		From I.C: I need to find out how long a 10" round tube needs to be in order for there to be .95 cubic feet of air space Answered by Harley Weston.
	38/50 as a percent		2012-02-06
		From 2: 38/50 in a percent Answered by Penny Nom.
	Expressing 0.5%		2012-02-06
		From Kenneth: Hello: It is correct to express 0.5% as 5 tenths of one percent. Is it also correct to express 0.5% as 5 tenths of one-hundred percentage points or 5 tenths of one percentage point? I think it would be 5 tenths of one percentage point because 5 tenths of one-hundred percentage points would be 50 percentage points, but I'm not sure. I thank you for your reply. Answered by Penny Nom.
	Notation for the second derivative		2012-02-06
		From Shafira: In all math textbooks, it is written that d/dx ( d/dx) (y)= d2y/dx2. Why do they write it as d2y/dx2, not as d2y/d2x2? Answered by Robert Dawson.
	A quartic polynomial that is a perfect square		2012-02-05
		From archit: If P(x)=x^4+ax^3+bx^2-8x+1 is a perfect square then (a+b)=? Answered by Penny Nom.
	Two sectors of a circle		2012-02-03
		From Wayne: I am not even sure what to ask. I have to two lengths of feet and an angle of degrees, and I have to find the area? **Problem attached Thanks, Wayne Answered by Penny Nom.
	A rectangular block and a sphere		2012-02-02
		From snehal: a solid rectangular block of metal 49 cm. by 44cm. 18cm. is melted and formed into a solid sphere, find the radius of the sphere[22/7] Answered by Penny Nom.
	There is a police officer in pursuit of suspect		2012-02-01
		From Jay: There is a police officer in pursuit of suspect. They suspect is driving on a straight road traveling at 79 mph, the officer is 233 yds away, traveling at 92 mph, the suspects car 5 ft long and the officers car is 5.3 ft long, how long will it take to have the front of the officers car, equal to the front of the suspects car down to the tenth of a second. Answered by Harley Weston.
	If a parallelogram is a cyclic quadrilateral then it is a rectangle		2012-02-01
		From Kim: Show that if a parallelogram is a cyclic quadrilateral then it is a rectangle. Hint: Observe that in a parallelogram ABCD we always have Triangle ABC is congruent to Triangle CDA. Answered by Robert Dawson and Chris Fisher.
	Properties of real numbers applied to subsets		2012-02-01
		From Mark: Hello - The questions that I have for you is do the properties of real numbers (such as the associative, commutative, identity, inverse, and distributive law) apply to ALL the subsets of real numbers? In other words, do all those properties work for the Natural Numbers? The Whole Numbers? And so on and so forth. I understand that they are all real numbers, but for instance: the identity is whenever you add zero to a number, you get that number back. But does that work with, say, with only the odd numbers? Zero isn't odd so can that property actually apply to JUST the odd numbers? Any consideration would be greatly appreciated! Answered by Robert Dawson.
	The dimensions of a rectangle		2012-01-31
		From Dazz: Hi I was wondering how to find the length of a rectangle if you know the area is 484 square inches And the length is 10 square inches or 22 square inches? Thanks~Dazz Answered by Penny Nom.
	Two cars in a race		2012-01-30
		From Christine: In a car race, the speed of one car is 120kph and the other car is 105 kph. If the faster car finished the race 20 mins before the slower one, what was the distance of the race? Thanks for the answer and the previous answer to my question. Answered by Penny Nom.
	A two digit number		2012-01-29
		From Christine: Five times the sum of the digits of a two digit number equals the number. If the digits are reversed, it becomes nine more than the original number. What is the original number? I really don't understand this question, help me please Answered by Penny Nom.
	Building a tipi		2012-01-29
		From Lacy: Hi there! We are building a tipi for our children. We want to build a large one about 15ft tall with a base of about 15 feet diameter. I am trying to figure out how much canvas we need to accomplish this. I graduated about 20 years ago and am struggling. Please help if you can. Answered by Penny Nom.
	The volume of a dugout		2012-01-28
		From Jan: is there a formula for calculating the cubic yardage removed from a dugout for example that is forty feet wide by one hundred and twenty feet long by twelve feet deep with a three to one slope? It is the slope that makes it a little tricky. Thank you. Answered by Penny Nom.
	Tons of fill dirt		2012-01-27
		From Brian: about how many tons of fill dirt would I need to level a area 30 foot by 30 foot and 6 foot deep Answered by Penny Nom.
	The area of a triangle		2012-01-27
		From mary: I have a scalene triangle and the base is 33m, side is 52m and the unparallel side is 25m but i drew a dotted line down and that s 20m how do i figure the area? thanks Answered by Penny Nom.
	1 + 3 + 3^2 ...+3^(n-1) = 3^n - 1/2		2012-01-27
		From Vicki: I am trying to find out how to do show how this proof was worked. Here is the end result 1 + 3 + 3^2 ...+3^(n-1) = 3^n - 1/2 This equation was used to find the number of white triangles in the Sierpinski Triangle Answered by Walter Whiteley.
	I need to make a 45,000 pound batch of this 80% MgO product		2012-01-26
		From James: I have a 55% MgO product and 89% MgO product. I have unlimited pounds of each MgO product. I am looking to make a 80% MgO product. I need to make a 45,000 pound batch of this 80% MgO product. Answered by Penny Nom.
	Rolling three dice		2012-01-26
		From Aishwarya: A red, a blue and a green die are all thrown at the same time. Display all the possible outcomes in a suitable way. Find the probability of obtaining:- 1. A total of 18 on the three dice 2. a total of 4 on the three dice 3. a total of 10 on the three dice 4. a total of 15 on the three dice 5. a total of 7 on the three dice 6. the same number on each die.. Answered by Robert Dawson.
	The difference in the latitudes of Lynchburg and Myrtle Beach		2012-01-26
		From Sarah: Assuming that the earth is a sphere of radius 6378 kilometers, what it is the difference in the latitudes of Lynchburg, Virginia and Myrtle Beach, South Carolina, where Lynchburg is 400 kilometers due north of Myrtle Beach? Answered by Robert Dawson.
	A circular cylinder circumscribed about a right prism		2012-01-25
		From Noriz: A cylinder is circumscribed about a right prism of altitude 12.6cm. Find the volume of the cylinder if the base of the prism is an isosceles triangle of sides 3cm by 3cm by 2cm. Hope you can help me with this. Answered by Penny Nom.
	Great circle course		2012-01-25
		From Hervé: On the earth, the mathematical formula giving the distance between two points, and the initial course for a boat on the great circle is well known. I need to find the inverse formula, ie knowing an initial position on earth, and the initial course of the boat, and the distance to run on the great circle, the formula gives the final position (longitude and latitude). Answered by Robert Dawson.
	Today is Emma's Birthday.		2012-01-25
		From Mike: Today is Emma's Birthday. Emma's mother is four times as old as Emma is today. In four years, Emma's mother will be three times as old as Emma. How old is Emma today? Answered by Penny Nom.
	A fountain		2012-01-24
		From kris: A fountain has a radius of 14 meters to its outer edge. Their is an inner ring in the center of the fountain, where a statue of Sir Isaac Newton stands, that does not contain water. The inner ring has a diameter that is 6m less than the diameter of the outer ring of the fountain. What is the circumference of the inner ring? What is the area that is covered by water in the fountain? Answered by Penny Nom.
	Ten percentage of 24 hours		2012-01-23
		From robin: Hai.. Myself Robin.. May i know the ten percentage of 24 hours? Pls help me.. Thank you. Answered by Penny Nom.
	Four pizzas		2012-01-23
		From kris: a pizza company wishes to put 4 medium pizzas in a box to sell as a party pack. The box they want to use the square and has dimensions of 60cm by 60cm. They need you to help them calculate the dimensions of the pizza that will fit in the box. Calculate the following: area, radius, diameter, circumference Answered by Penny Nom.
	A cube inscribed in a sphere		2012-01-23
		From Gelo: What are the largest volume and total surface area of a cube that may be inscribed inside a sphere whose radius is 5 kilometers. Answered by Walter Whiteley.
	A problem in logic		2012-01-19
		From Ghader: The puzzle below I know the answer to; because someone told me! My question is: how could I answer it using logic, maths, etc. what field of inquiry does this kind of problem fall into? Puzzle: You are in a room with two men: one is a compulsive liar and the other is a compulsive honest. There are two doors: one leading to heaven, the other to hell. The two men know which door leads to where. You want to go to heaven but are allowed only ONE question from one or the other of the two men. What would that question be? [The question to ask, from either man, is: "if I asked the OTHER man which door leads to heaven, which door would he point?". You would then choose the other door.] Has this answer got any basis in logic or maths at all? Answered by Robert Dawson.
	-8(3x+4)+6x=4(x-8 )+4x		2012-01-18
		From bianca: -8(3x+4)+6x=4(x-8 )+4x Answered by Penny Nom.
	A limit		2012-01-18
		From Neil: The limit of [(1/x)^3 - 1/8]^1/3 all over (x - 1/2) as x approaches 1/2 to positive infinity. How to answer that? Answered by Harley Weston.
	The difference in latitudes of two cities		2012-01-18
		From Renee: Assuming that the earth is a sphere of radius 6378 kilometers, what is the difference in latitudes of two cities, one of which is 600 kilometers due north of the other? Answered by Robert Dawson.
	Tangent of theta		2012-01-17
		From stahl: explain what the 'tangent of theta' means. Draw and label a diagram to help with your explanation. Answered by Harley Weston.
	Brian on his bike		2012-01-16
		From tiffany: Brian rides his bike 0.29 miles per minute. If it takes him 22 minutes to ride his bike to his friend's house, how far away does his friend live? Answered by Penny Nom.
	A circle inscribed in a regular octagon		2012-01-16
		From Eric: I have a circle inscribed in a regular octagon. How do I determine the length of one side of the octagon if I know the radius of the circle (2.75 inches) ? Answered by p.
	Exponential form		2012-01-15
		From Helen: How do you write (1/x) in exponential form? Answered by Penny Nom.
	The derivative of x^-(1/2)		2012-01-14
		From Eric: I have an problem figuring out the derivative of the negative square root of x i.e. x^-(1/2) using the first principle. Could someone please show me? Thanks in advance! Answered by Harley Weston.
	The same mean but different ranges		2012-01-14
		From swathi: Frank and Frances work out at their local gym. the mean of their workout times is the same: 48 min. however, the range of Frank's workout times is 7 min, while the range of Frances'sworkout times is 16 min. explain how this is possible. Answered by Penny Nom.
	How many gallons of water to fill my pool?		2012-01-13
		From Don: How many gallons of water do you need to fill a 22 feet long and 13 feet wide rectangular pool if it is 3 feet deep on one end and 7 feet deep on the other end? Answered by Penny Nom.
	Four apples and two oranges cost Rs. 30...		2012-01-13
		From nasr: Four apples and two oranges cost Rs. 30, and one apple and 3 oranges costs Rs.15.How much does each apple and each oranges cost? Answered by Harley Weston.
	Lost in the woods		2012-01-12
		From Liz: I am lost in the woods. I believe that I am in the woods 3 miles from a straight road. My car is located 6 miles down the road. I can walk 2miles/hour in the woods and 4 miles/hour along the road. To minimize the time needed to walk to my car, what point on the road should i walk to? Answered by Harley Weston.
	The radius of a circle		2012-01-12
		From Janie: Find the radius of a circle knowing that a chord of 24.6 inches has a corresponding arc of 70°. Answered by Penny Nom.
	Running 5 km		2012-01-12
		From Fayeann: What amount of time will it take a person running 7 m/s to travel a distance of 5 km? Answered by Penny Nom.
	What is the height of the triangle?		2012-01-12
		From Hailey: The area of a triangle is 77ft2. if the base is 11ft. how tall is the height? Answered by Penny Nom.
	A volume of revolution		2012-01-11
		From john: find volume of solid generated by revolving the region in the first quadrant bounded by the curve y squared=x cubed, the line x=4 and the x-axis about the line y=8. The answer in the back of the book is 704 pi divided by5 Answered by Penny Nom.
	One acre of dirt 6 inches deep		2012-01-11
		From Cameron: Ok what im wanting to know is how many pounds of dirt are in 80 acres of land that is 6 inches deep? My friend and I are stumped on this question Answered by Penny Nom.
	An equilateral triangle and some circles		2012-01-10
		From tushar: draw an equilateral triangle with side 6cm.draw 3circles with radii 3cm on each angular point of triangle.draw common tangent on each of two circles Answered by Penny Nom.
	A picture in a frame		2012-01-10
		From nnadozie: a picture, which measures 46cm by 38cm, is surrounded by a frame, which is 2cm wide, find the area of the frame. Answered by Penny Nom.
	A trig identity		2012-01-08
		From Joe: Prove this Trig. Identity : ((cos2θ + sinθ-1) / tanθ ) + sin2θ = cosθ Answered by Penny Nom.
	Designing aluminum cans		2012-01-08
		From swathi: A company manufactures aluminum cans. one customer places an order for cans that must be 15 cm high, with a volume of 1200cm cube. a) use the formula V= pie r squared h to determine the radius that the company should use to manufacture these cans b) graph the function that corresponds to 0 = pie r squared h minus V to determine the radius. Answered by Penny Nom.
	A wire spiral		2012-01-07
		From Pinar: I am trying to help my daughter with very challenging maths questions which sometimes I get stuck If someone help me with one of them I would appreciate it. Jane is making a spiral out of wire. She bends the wire after 1 cm, then bends the wire after 2cm, then 3cm and continues in this manner. After 4 bends she used 15 cm of wire For each bend how many cm wire was used? After 6 bends how many cm wire will she have used? How many bends will she have made if she uses 66 cm of wire? I would appreciate if somebody would help me with this. Thank you! Pinar Answered by Penny Nom.
	An equation with fractions		2012-01-06
		From Balkees: 3/4(4-8x)=2x-2/3(6-12x) Answered by Penny Nom.
	The height of a tower		2012-01-06
		From trevor: A tower is on the top of a hill. It is 2,400 feet from an observer to a point directly under the tower and at the same elevation as the observer. The angle of elevation from the observer to the base of the tower is 15 degrees and to the top of the tower 23 degrees. How tall is the tower in feet? Compute your answer within one foot. Answered by Penny Nom.
	The dimensions of a rectangle		2012-01-06
		From joseph: The perimeter of a rectangle is 72 inches. The length of the rectangle is three more than 2 times the width of the rectangle. What is the length of the rectangle? Write and solve an equation to determine the dimension of the rectangle. Answered by Penny Nom.
	A straight line distance		2012-01-06
		From Margaret: If you traveled 300 miles east and 275 miles north, how many miles would you save by going in a straight line? Answered by Penny Nom.
	Two shapes		2012-01-06
		From muhammad: Question from muhammad, a student: a boy has two pieces of wire each 99cm long .he bends them into the shapes shown below.calculate the radius of each figure,giving each answer to two decimal places.figures are one is semicircle and other on is half of the semicircle. Answered by Harley Weston.
	75% of 12.5		2012-01-05
		From Jennifer: 75% of 12.5 Please explain how you got your answer cause I don't understand how to do this Answered by Penny Nom.
	An arithmetic expression		2012-01-05
		From Jennifer: 1.8 + 3.2 / 0.4 - 4.375 x 0.2 Answered by Penny Nom.
	Adding fractions		2012-01-05
		From laurie: if shaded parts of a circle are 4/7 and the other is 1/3 what fraction is left Answered by Penny Nom.
	A parabolic arch		2012-01-04
		From Swathi: A plan for an arch in the shape of a parabola is drawn on a grid with a scale of 1m per square. The base of the arch is located at the points (0,0) and (15,0). The maximum height of the arch is 18m. a)Determine the quadratic function that models that arch b)State the domain and range of the function Answered by Penny Nom.
	A 46% increase		2012-01-03
		From kabilan: increase a price of £8.24 by 46% and give the answer to the nearest penny Answered by Robert Dawson.
	Lotto tickets		2012-01-03
		From Ashley: Hi. I play the lotto a lot, and have yet to win. How many combinations can I make with 6 numbers 1-53? I am trying to come up with a dollar amount so I know how much I would have to spend to guarantee a win. Thank you in advance. (I'm no good at math) Answered by Robert Dawson and Penny Nom.
	Mean and Average		2012-01-03
		From john: what is the difference between average and mean Answered by Robert Dawson.
	Triangles, area and perimeter		2012-01-01
		From Panny: I saw a question asked on your board without an answer. How do I find the area of a triangle any triangle if I only know the perimeter.. Answered by Penny Nom.
	Sum and difference of squares		2011-12-31
		From Anne: Se x e y são números reais distintos, então: a) (x^2 + y^2) / (x - y) = x + y b) (x^2 + y^2) / (x - y) = x - y c) (x^2 - y^2) / (x - y) = x + y d) (x^2 - y^2) / (x - y) = x - y e) Nenhuma das alternativas anteriores é verdadeira. Answered by Harley Weston.
	Working together		2011-12-30
		From Kenneth: 15 workers can finish a job in 7 days. If I want to find the number of days 21 workers can finish the job, the calculation becomes 1/(21 workers) X 15 workers X 7 days. If the 21 and 15 are reduced to 7 and 5, by dividing 21 and 15 by 3, the calculation becomes 1/7 X 5 X 7 days, what do these two reduced terms (7 and 5) indicate or represent? Do they represent 5 workers and 7 workers, as in (1/7 worker) X 5 workers X 7 days = 5 days? I thank you for your reply. Answered by Penny Nom.
	Limits and composition		2011-12-30
		From Rahul: I want to know about limit proofs of composite functions. Like limit of log of a function equals log of limit of the function Answered by Penny Nom.
	Triangular numbers that are square		2011-12-27
		From Luke: The “TnS” is a positive integer which is both Triangular number and Square number. For example, 36 is a “TnS” number since 36=1+2+3+4+5+6+7+8 (Triangular number) and 36=6x6 (Square number). What is the next “TnS” which is greater than 36? Answered by Penny Nom.
	The graph of a quadratic function		2011-12-27
		From Thomas: sketch a quadratic function with zeros at -3 and 1 Answered by Penny Nom.
	The volume of a frustum of a cone		2011-12-24
		From CV: If I know the height, taper, and volume of a frustum cone, what are its Radii? Calculating frustum cone volume is straight forward. v=Pi/3*h*(R*R+r*r+R*r) where; v=volume; h=frustum height; R=major radius; r=minor radius; Pi=3.1415926; t=taper, ('slant angle' where t=0 is a disk) Here is the tricky part. Knowing 'h', 't', & 'v'; Calculate one or both of 'R' & 'r'. Specifically, what is the formula for 'R=' or 'r='? Answered by Penny Nom.
	Three sides of a triangle		2011-12-24
		From saba: the three sides of a triangular lot have lengths 10,11and 13cm,respectively. find the measure of its largest angle and the area of the lot? Answered by Penny Nom.
	The volume of a cylinder		2011-12-22
		From luke: what is the volume of a cylinder that is 30 mm in diameter and 70 cm high? can you please write the equation out in full for me to help understand it better. thanks Answered by Penny Nom.
	The weight of 36 inch steel pipe		2011-12-22
		From Keith: What is the weight of 36 inch steel pipe 3/4 wall per foot in lbs. Answered by Penny Nom.
	The number of digits in a number base m		2011-12-22
		From Jash: Assume there is a number system of base m. The one property of this system is: If 2 numbers written in this system, which have 'a' and 'b' as the number of digits are multiplied, then the product of the 2 numbers will have a number of digits which is a function f(a,b). In other words, as long as the number of digits of the 2 numbers are constant, the number of digits of their product is a constant. Find m. Answered by Robert Dawson.
	A combination lock		2011-12-21
		From Sheila: I have a combination lock with a total of 3 rows of single digits 1 - 9. In order to open the lock, the numbers chosen for each row together add to 12.I'm looking to generate a list of numbers that I can sequentially try so that I can open the lock. Answered by Robert Dawson.
	Water is flowing into a cup		2011-12-19
		From Tim: A cup has a radius of 2" at the bottom and 6" on the top. It is 10" high. 4 Minutes ago, water started pouring at 10 cubic " per minute. How fast was the water level rising 4 minutes ago? How fast is the water level rising now? What will the rate be when the glass is full? Answered by Penny Nom.
	The number of gallons in a box		2011-12-18
		From matt: i need to know how many gallons a 16 inch square box will hold Answered by Penny Nom.
	Displacement		2011-12-17
		From faisal: a helicopter takes off and travels 300 km due north then returns to its landing field. what is its displacement? Answered by Penny Nom.
	Rounding		2011-12-14
		From seth: A decimal number rounded changed to 23.7 after it was rounded. Give a decimal number that is less than 23.7 and another that is greater than 23.7 that each round to 23.7. Explain to what place each number was rounded. Answered by Penny Nom.
	Augmented matrix		2011-12-14
		From Britney: Write Augmented matrix and use row reduction to solve. I need major help with this problem! Tomorrow is my semester test and I have no idea how to do this. 2x+5y=8 y-x=10 Answered by Robert Dawson.
	The circumference and area of a circle		2011-12-13
		From Mable: A circle that going 70mi across using 22/7 I need the area,radius, and the circumference and how to set up the steps can you help? Answered by Penny Nom.
	i+i^2+i^3+i^4...+i^102		2011-12-13
		From megan: how do you solve i+i^2+i^3+i^4...+i^102 Answered by Robert Dawson.
	Extended real numbers		2011-12-12
		From Justin: Hi there, I was wondering does +infinity=+infinity in the extended real number system? Basically, I was wondering does +infinity=+infinity since -infinity and any extended real number (except +infinity) are less than +infinity? Sincerely, Justin Answered by Robert Dawson.
	Exponential form		2011-12-12
		From Zoey: What is the exponential form of 1/8?? Answered by Penny Nom.
	Simple interest		2011-12-11
		From sandeep: Use the formula I = Prt to solve. Damon deposits $500 into a savings account that pays simple interest at a rate of 0.65% per year. How long will it take Damon to earn $130 in interest? Answered by Penny Nom.
	factor 6x2-19x+3		2011-12-10
		From pedro: factor 6x2-19x+3 Answered by Penny Nom.
	Jennifer wants to fence in her backyard		2011-12-09
		From Val: Jennifer wants to fence in her backyard. A yard is rectangular and is 15 feet by 12 feet. One 12-foot side is against the house so it does not need fencing. How many feet of fencing does Jennifer need? Answered by Penny Nom.
	A 3000 gallon tank		2011-12-08
		From Delores: I need to know what size to build a tank to hold 3000 gallons of water one side needs to be 8 ft width X 6 ft height how long does it need to be? Answered by Penny Nom.
	What does 2xy mean?		2011-12-07
		From dana: I don't know what is 2xy what does that mean? is it 2x+2y or 2x times y Please help! thank you for your time!! :) Answered by Penny Nom.
	The height of a flagpole		2011-12-07
		From Grail: at a certain point the angle of elevation of the top of a flagpole which stands on a level ground is 35 degree. 75 ft. nearer the pole, the angle of elevation is 50 degree. How high is the pole Answered by Penny Nom.
	Two trains passing each other		2011-12-07
		From Tamkeen: two trains 245m and 315m long are travelling toward each other at 90km/h and 54km/h respectively on parallel lines . how long do the train take to pass one another train the time they meet each other? Answered by Penny Nom.
	How many rpm does a 3.5 in. diameter wheel turn at 7 miles per hour?		2011-12-06
		From Al: how many rpm does a 3.5 in. diameter wheel turn at 7 miles per hour Answered by Penny Nom.
	A 2 by 9 array		2011-12-06
		From Rosalynn: what multiplication fact can be found by using the arrays for 2x9 and 5x9 Answered by Penny Nom.
	Uniform acceleration		2011-12-06
		From Android: At a certain instant, two cars A and B are 2000 ft apart. At this instant, car A is traveling at 15 miles/hr. and accelerating at 3 ft/s^2 while B is moving towards A at 30 miles/hr. and an acceleration of 2 ft/s^2. Find the ff: a.) The possible time of their collusion in minutes. b.) The distance in ft. each has traveled before collusion. Answered by Penny Nom.
	Squares and triangles		2011-12-06
		From Liaqath: You have squares and triangles. Altogether there are 33 sides. How many squares do you have? How many triangles do you have? Answered by Penny Nom.
	The arc of a bridge		2011-12-05
		From Marioneta: Two same columns placed symmetrically, 40 m apart. The height of columns is 8 m. If the origin of the coordinate system is placed at the foot of the left column the equation of the arc of the bridge: f (x) =-1/80x^2+1/2x+8 What is the maximum height of a boat sailing under the bridge and identify its path. Answered by Penny Nom.
	A cube of ice is melting		2011-12-05
		From Emily: a cube of ice (i.e.) each side is of the same length) is melting at a rate such that the length of each side is decreasing at a rate of 5cm per hour. how fast is the volume of the cube decreasing (in cubic cm per hour) at the instant the length of each side is 25cm? Answered by Penny Nom.
	What is the altitude of the balloon?		2011-12-04
		From C: Chelcy and Jorgeare 2.32 miles apart. The observe a hot air balloon directly overhead between them Chelcy's angle of elevation is 28 degrees. Jorge's Angle of elevation is 37 degrees. What is the altitude of the balloon? Answered by Penny Nom.
	Two circles		2011-12-04
		From Luke: Two fixed circles intersect at A and B. P is a variable point on one circle. PA and PB when produced meet the other circle at M and N respectively. Prove that MN is of constant length. Thanks! p.s. I also sent the question with a figure via email. Answered by Chris Fisher.
	Two parallel chords		2011-12-04
		From violet: Two parallel chords of a circle AB and CD on the same side of the centre measure 6 cm and 11 cm respectively. Find the radius. Answered by Chris Fisher and Walter Whiteley.
	Repeating a medication		2011-12-02
		From ivan: One person received the recommendation of a doctor taking the drug "Passaneura" every 10 hours. After a few days, noted that the time you should take the medication had not been repeated once. How many days since the first dose, will have to pass the time until recur Answered by Penny Nom.
	Solve for theta if 8cos^2 theta-3=1		2011-12-02
		From Katherine: Hi, I have just learned to solve trigonometric problems for theta and have one specific question in order to find the solutions to my homework. I will use one example for this question. If I have 8cos^2 theta-3=1 I first divide by 8 and get cos^2theta=3/8 then I have cos theta= plus or minus the square root of 3/8 Then I assume that I plug in inverse cos (the square root of 3/8) to my calculator. How do I find the four solutions (we are typically supposed to find four, I believe?) Can you help me with finding the solution to this problem? Thank you! Answered by Penny Nom.
	The total number of roles that a user can be assigned		2011-12-02
		From Colin: Hi, I want to define an equation for calculating the total combination of roles that a user can be assign in a system. Here is the background: There are two types of roles that a user can be assigned. These are object roles and data roles. There must be at least 1 object and 1 data role in the system. A user must be assigned at least 1 object role and at least 1 data role. A user can be assigned as many object roles and data roles as are created in the system. There is no upper limit to the number of roles that a user can be assigned except for the total number of object roles and data roles that exist. The number of object roles and data roles in the system are independent. Can someone please assist? Thanks. Answered by Penny Nom.
	A suspension bridge		2011-11-30
		From jennifer: suspension bridges like the golden gate bridge, are used to span large distances. when the main curved cables are attached to the deck by vertical cables they will end up in the shape of parabola. assume that we need to build a bridge that spans 2,400 feet. the two towers 165feet tall each where placed at 400feet from either side. the lowest point of the center of the bridge at 10feet. vertical suspension cables where placed at 25foot interval. how many feet of cable are needed to connect the deck to the main cables between the two towers? show all working. Answered by Penny Nom.
	Two boats		2011-11-30
		From Shayan: A boat is traveling 20 miles per hour when it passes a lighthouse. another boat is traveling at 15 miles per hour when it passes a point. the lighthouse and the point are 175 miles apart. when will the boats pass each other? Answered by Penny Nom.
	The 3rd term of an A.P is 10 more than the first term		2011-11-29
		From Olaniyan: the 3rd term of an A.P is 10 more than the first term while the fifth term is 15 more than the second term. Find the sum of the 8th and 15th terms of the A.P if the if the 7th term is 7 times the first term. Answered by Penny Nom.
	Three consecutive numbers		2011-11-29
		From Michael: Find three consecutive numbers such that the second number squared is equal to the first and third added together Answered by Penny Nom.
	Converting from base 4 to base 10		2011-11-29
		From anjg: How to convert base 4 number 2^11 to base 10 number? Answered by Penny Nom.
	An arithmetic expression		2011-11-28
		From Muhmmad: 2/5*-3/7-1/6*3/2+1/14*2/5 Answered by Penny Nom.
	Four carpenters can build eight houses in 10 days.		2011-11-23
		From Kenneth: Four carpenters can build eight houses in 10 days. Two carpenters can build how many houses in 15 days? Answered by Penny Nom.
	A railway bridge over a road is in the shape of a parabola		2011-11-23
		From Brennen: A railway bridge over a road is in the shape of a parabola, and the bridge is 3 m high in the middle and 6 m wide at its base. A truck that is 2m wide is approaching the bridge. What is the maximum height that the truck can have and still pass under the bridge? Explain. Thank you!! Answered by Penny Nom.
	The average age of 300 cars		2011-11-22
		From Jason: I have 300 used cars built from 1970 to 1980, I would like to know the average age by total volume. If I provide the qty built per year, can I determine the average age of the lot (300) by total volume? Total built 50 56 30 10 30 25 64 9 12 14 Year built 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 Thanks Answered by Penny Nom.
	The units digit of a prime number		2011-11-22
		From Mike: Every prime number larger than 10 has a digit in the ones place that is included in which set of numbers below? A. 1,3,7,9 B. 1,3,5,9 C. 0,2,4,5,6,8 D. 1,3,7 Answered by Penny Nom.
	The acreage covered by a berm		2011-11-21
		From Katherine: I need to know how to figure the acreage a berm might cover. Berm size is 815 ft. long with a 5' height average at a 3:1 slope It will have a 4 ft. top. Also how do you figure how wide a base would be for a berm at a 3:1 slope? I am thinking for every 3 ft horizontal I need to go 1 foot vertical starting from the center out. Is this only half the berm and need to mirror it for the other side to get a total base width? Answered by Penny Nom.
	The height of a flag pole		2011-11-21
		From Micah: A flagpole stands vertically at the edge of a roof of a building 200 ft high. the angle of elevation of the pole from a point 100 ft from the bottom of the building is 67 degrees. Find the length of the pole in meters. Answered by Penny Nom.
	Water pouring into a conical tank		2011-11-21
		From Patience: Hi my name is patience and I'm having a problem with this question. Water pours into a conical tank of semi vertical angle 30 degrees at the rate of 4 cm^3/s, where h is the depth of the water at time t. At what rate is the water rising in the tank when h = 10 cm? Thank you Answered by Penny Nom.
	Reducing by a scale factor of 1/3		2011-11-21
		From Sandra: A rectangle with the dimensions of 6.3 cm and 5.8 cm is reduced by a scale factor of 1/3. What are the dimensions of the new image? Answered by Penny Nom.
	2 + f(x) and f(x) + 2		2011-11-21
		From Beth: Do you do y=2+f(x) the same way as if the 2 came after the equation such as y=f(x) +2 when graphing? Answered by Penny Nom.
	A triangle problem		2011-11-20
		From May: In triangle ABC, AB=AC, angle A=20, D lie on AB making DC=AD, E lie on AC making angle EBC=70. Find angle DEB. Answered by Chris Fisher.
	In how many ways can 12 members of volleyball team line up ...		2011-11-18
		From Aatir: In how many ways can 12 members of volleyball team line up if the captain and assistant captain have to remain together. Answered by Penny Nom and Stephen La Rocque.
	15 pigs and 6 pens		2011-11-16
		From Mike: I have 15 pigs and 6 pens, I have to put them in odd numbers, how do I do it. Answered by Chris Fisher.
	Ordering Fractions		2011-11-16
		From Chloe: hey okay im having trouble with a math question. how do you put these fractions in number order 8/14 11/28 3/7 Answered by Jaymi Schmidt.
	Ordering fractions		2011-11-16
		From Laya: Order from least to greatest 2/3, 1/2, 5/12 Answered by Jaymi Schmidt.
	The 3, 4, 5 right triangle		2011-11-15
		From rishil: to the nearest degree,what is the measure of the smalles angle in a rightt triangle with sides of length 3,4 and 5? Answered by Penny Nom.
	I started with Euler's identity and manipulated it		2011-11-14
		From anonymous: I started with Euler's identity and manipulated it e^i*pi=-1 e^-i*pi=(-1)^-1 e^-i*pi=-1 e^-i*i*pi=(-1)^i e^--pi=(-1)^i e^pi=(-1)^i type it in in a calculator and you get e^pi=23.1406926... and (-1)^i=0.0432139183... What did I do wrong? Answered by Robert Dawson.
	Lines tangent to y^2=4x		2011-11-11
		From Reuchen: Find equations of the lines tangent to y^2=4x and containing (-2,1). Answered by Penny Nom.
	The dimensions of a rectangle		2011-11-11
		From Ivan: The length of a rectangle is 31 centimeters less than five times its width. Its area is 72 sq centimeters. Find the dimensions of the rectangle. Answered by Penny Nom.
	A log equation in exponential form		2011-11-11
		From Sarah: Express the equation in Exponential form log2 to the 16th power=4 Answered by Penny Nom.
	The slope of a line		2011-11-10
		From Sara: Line k lies in the xy-plane. The x-intercept of line k is -4. And line k passes through the midpoint of the line segment whose endpoints are (2,9) and (2,0). What is the slope of line k? Give the answer as a fraction. Answered by Penny Nom.
	1 third plus 5 sixths		2011-11-10
		From Matt: 1 third plus 5 sixths = Answered by Penny Nom.
	What was the cost price of the article?		2011-11-10
		From tashana: By selling an article for $320,the profit was 20% of the cost price.what was the cost price of the article. Answered by Penny Nom.
	The perimeter of a quarter circle		2011-11-10
		From sierra: how do you figure the perimeter of a quarter circle that has a radius of 12 Answered by Penny Nom.
	A word puzzle		2011-11-10
		From kevin: ABCD ABCD ABCD ABCD ------- EBEA What does each letter stand for? I've been at it for days and still have nothing. Thank you, Kevin Answered by Robert Dawson.
	Uses of logarithms		2011-11-09
		From BEA: what is the use of logarithmic functions in real life or daily life? Answered by Penny Nom.
	0.5 acres of land		2011-11-09
		From Kim: I have .5 acres of land. I want to divide it into 20x20 squares. How many squares will I have? Answered by Penny Nom.
	The sum of a series		2011-11-07
		From Rattanjeet: Find the sum of 1(1/2) + 2(1/4) + 3(1/6) + 4(1/6)(3/4) + 5(1/6)(3/4)2 + 6(1/6)(3/4)3+ ... where 1/6 + (1/6)(3/4) + (1/6)(3/4)2 + ... constitutes a geometric series. Answered by Penny Nom.
	The volume of a berm		2011-11-04
		From Roy: I need to know how many cubic yards are in a berm 100 ft long 8 ft high and 32 ft wide at the bottom? Looking from the end of the berm it would look like a trangle. Thanks for the help. Answered by Penny Nom.
	A right angled triangle		2011-10-31
		From bijo: how can i find the tangent point at a circle with origin as center with radius r and the tangent pass through a given point P? I also want to find out the third point of a right angled triangle given other two points? Answered by Chris Fisher.
	The area of a triangular garden		2011-10-31
		From tasha: a garden has sides of 6m,8m and 10m find the area Answered by Chris Fisher.
	A scale drawing		2011-10-30
		From aretha: i have a scale drawing of a house floor plan, don't understand how to find the answer. the drawing is 1in: 3ft. need to find the length / width/and the actual length/width of the living room,kitchen, 3bedrooms deck,sitting room, entry, and closet Answered by Penny Nom.
	Three consecutive terms of an arithmetic sequence		2011-10-30
		From Juliette: Find X when x, 1/2x + 7, 3x -1 are consecutive terms of an arithmetic sequence. Answered by Penny Nom.
	Modular arithmetic		2011-10-30
		From Kim: Hello, I am editing a resource for students, and I think some of the answers may be incorrect. The text I was given and my questions are in the attachment. Any help you could give would be appreciated. Thanks, Kim Answered by Harley Weston.
	The LCM of 6,15 and x is 90		2011-10-30
		From Richie: Hi there, There are 2 parts to the question. #1. Factorise 90. This is easy, 90=2x3x3x5 #2 LCM of 6,15 and x is 90. What are possible values of x if x is odd? From #1, since 90=6x15, how can this be used to work out possible values of x? Thanks in advance, Richie Answered by Penny Nom.
	The average speed for the whole journey		2011-10-30
		From Shahzad: a train travels 68 Km at an average speed of 51Km/h. It then travels another 20Km at an average speed of 40Km/h before reaching its destination. Calculate the average speed for the whole journey? Answered by Penny Nom.
	Factor		2011-10-30
		From Dawn: x^2 -6x+9-4y Answered by Penny Nom.
	A vector geometry problem		2011-10-28
		From aishwarya: hi...my name is Aishwaarya and i am a student from India.. My problem is in vector geometry which i am sending u my an attachment including a diagram.. Thanks Aishwarya Answered by Chris Fisher.
	A mythical soccer ball		2011-10-27
		From Joel: We've been working on this problem diligently and can't seem to come up with the answer book's answer. We think it may be wrong, yet want to check it with an expert. Here goes. The school's new soccer balls are covered with 64 regular hexagonal panels. Each hexagon measures 2 inches between opposite corners and 1.5 inches between opposite sides. What is the total surface area of the soccer ball? Answered by Robert Dawson and Lorraine Dame.
	The square root of z=3+4i		2011-10-27
		From dianah: how to find the square roots of complex number, z=3+4i Answered by Robert Dawson.
	Problem solving		2011-10-27
		From keelan: a number is divided by 5. then 3 is added to the quotient. after subtracting 10, the results is 30.what is the number.t Answered by Penny Nom.
	3 fish		2011-10-27
		From Ann: You have 3 fish weighing a total of 21 lbs. The largest fish weighs twice as much as the second fish and the third fish weighs half the amount of the second fish. So how much does the third fish weigh? Answered by Penny Nom.
	A spherical ball in a conical wine glass		2011-10-26
		From Jules: A heavy spherical ball is lowered carefully into a full conical wine glass whose depth is h and whose generating angle (between the axis and a generator) is w. Show that the greatest overflow occurs when the radius of the ball is (h*sin(w))/(sin(w)+cos(2w)). Answered by Claude Tardif.
	1 divided by 0 and infinity		2011-10-24
		From ritika: we say that one divided by zero gives us infinity, then why zero multiplied by infinity does not gives us one????????????? Answered by Robert Dawson.
	The number of People who Know Each Other		2011-10-21
		From Ted: I'm trying to prove that at a party where there are at least two people, there are two people who know the same number of other people there. Answered by Robert Dawson and Penny Nom.
	The end of a trough		2011-10-21
		From Lorraine: The vertical end of a trough has the following dimensions: width at top 4.4 ft., width at bottom 3.2 ft., depth 3.5 ft. Find the area at the end of the trough. Answered by Penny Nom.
	37 miles in 3 seconds		2011-10-20
		From Joyce: Jake can travel 37 miles in 3 seconds,please calculate jake's rate of speed.(round to 2 decimal places) Answered by Penny Nom.
	Implicit differentiation		2011-10-20
		From Monica: Find dy/dx in terms of x and y, if sin(xy)=(x^2)-y. Answered by Penny Nom.
	sin A/1+cos A + 1+cos A/sin A = 2cosec A		2011-10-20
		From Neeraj: sin A/1+cos A + 1+cos A/sin A = 2cosec A Answered by Penny Nom.
	The end of a swimming pool		2011-10-17
		From Jim: "The end of a swimming pool is a rectangle inclined 45° to the horizontal. The edge at the surface is 12 feet long and the submerged edge is 10 feet long. Could you draw a diagram for me ? I don't understand the Problem. Answered by Penny Nom.
	The area of a circle		2011-10-17
		From Winney: If the diameter of a semicircle is 3 feet what is the area. Answered by Penny Nom.
	Ratios		2011-10-17
		From Kenneth: Can you think of a ratio that has units that have not canceled out? Do not use a rate as an example, for example miles per hour. Would the following make sense? What is the book to student ratio in a classroom with 20 students and 15 books? Student to book ratio of 20 students to 15 books or (4 students):(3 books). Answered by Penny Nom.
	One central circle and three tangent circles		2011-10-16
		From Margaret: You have one central circle and three or more circles tangent to the outside of the circle of varying radii. You know the x,y coordinates of the centers of the other circles. If you now remove that central circle (and pretend you never knew where it was), can you calculate its center in x,y coordinates? Answered by Chris Fisher.
	Expanding the size of a table		2011-10-16
		From Ericka: You are working as a carpenter in an industrial Shop. A customer came to you and inquired about the size of the table which would be fitted in her room. She informed you that she had already a 1.5 x 1m table in her room but she wanted to maximize the space by adding the same amount to is length and width. She is planning to occupy a 3 square meter place on her room for her to work comfortably. She is requesting you a written recommendation before she asked to make a table. What amount should be added to both sides to maximize a 3 square meter area? Answered by Penny Nom.
	A pyramid and Pythagoras		2011-10-15
		From ele: On square based pyramid, the lengths of the sides of the base are all 2m. The height from the top of the pyramid to the middle of the base is 0.5m. What are the lengths of the sides of the triangular pieces and the contained angle? Answered by Penny Nom.
	How much work is done?		2011-10-15
		From Jean: "A conical buoy that weighs B pounds floats upright in water with its vertex "a" feet below the surface. A crane on a dock lifts the buoy until its vertex just clears the surface. How much work is done ?" Answered by Penny Nom.
	A 6% commission		2011-10-15
		From Tamara: if you earned a gross wage of $810, which includes a salary of $90 and a 6% commission how much is the net sales? Answered by Penny Nom.
	Expanded form		2011-10-12
		From Chris: Write this number in expanded form 4 326 180 501 Thanks!!! Answered by Penny Nom.
	Twice an even number		2011-10-10
		From Ron: The number of dollars that Tracy has in her pocket is an odd number. Hal gave Tracy $2 more than she already had in her pocket. The number of dollars Tracy now has cannot be _________. a) $60 b) $62 c) $64 d) 68 Answered by Penny Nom.
	Building a custom range hood		2011-10-08
		From Bill: I'm building a custom range hood for a customer with special order material that matches their newly installed cabinets and I need it to be perfect. The hood is basically a pyramid but the 4th side is the flat wall at the back and a flat, rectangular top. I need to calculate the bevel and miter of the three sides but I never was very good with geometry functions (although I am fairly good with other math fields). I either need the calculations from you at least (shudder) a formula or set of formulas so that I can calculate them myself. Answered by Harley Weston.
	What is the speed of the boat in still water?		2011-10-07
		From Hannah: The speed of a stream is 3 mph. A boat travels 10 miles upstream in the same time it takes to travel 16 miles downstream. What is the speed of the boat in still water Answered by Penny Nom.
	Three consecutive odd integers		2011-10-07
		From Muneera: Find 3 consecutive odd integers so that 3 times their sum is 5 more than 8 times the middle one? Answered by Penny Nom.
	Linear equations		2011-10-06
		From Hannah: I am confused about a question on my homework, here is an example on what I need to do: You own a sightseeing boat tour. Kids' admission costs $5, adults' admission costs $8. During that day you get (made-up number) $521 with 71 admissions. How many of each passenger boarded? I tried something like 5x + 8y = 521 x + y = 71 But, I still don't understand how to solve it! Help? Answered by Penny Nom.
	Two great circles		2011-10-06
		From Jean: "Two great circles lying in planes that are perpendicular to each other are drawn on a wooden sphere of radius "a". Part of the sphere is then shaved off in such a way that each cross section of the remaining solid that is perpendicular to the common diameter of the two great circles is a square whose vertices lie on these circles. Find the volume of this solid." I don't understand the geometry of the problem. Can you please explain the problem and if possible draw a diagram for me ? Answered by Chris Fisher.
	Maximum area of a rectangle		2011-10-04
		From Lyndsay: A rectangle is to be constructed having the greatest possible area and a perimeter of 50 cm. (a) If one of the sides of the rectangle measures 'x' cm, find a formula for calculating the area of the rectangle as a function of 'x'. (b) Determine the dimensions of the rectangle for which it has the greatest area possible. What is the maximum area? Answered by Penny Nom.
	Chuong and Hassan drive to work		2011-10-04
		From Dilshad: Chuong and Hassan both drive 40 km from home to work each day. One day Chuong said to Hasssan, "If you drive home at your usual speed, I will average 40 kmph faster than you and arrive home in 20 minutes less time." Find Hassan's speed. Answered by Penny Nom.
	Six golphers for 27 weeks		2011-10-04
		From ken: I have 6 golfers alternating playing in a group of 4 each week for 27 weeks. How can I create a schedule so that each golfer both plays equally and plays against the other golfers an equal amount of time Answered by Victoria West.
	A reservoir has the shape of an inverted cone		2011-10-03
		From Roger: a reservoir has the shape of an inverted cone whose cross section is an equilateral triangle. if water is being pumped out of the reservoir at a rate of 2m^3/sec, at what rate is the depth of the water changing when the depth is 40 meters? Answered by Penny Nom.
	A trapezoid inscribed in a circle		2011-10-02
		From Greg: A trapezoid is inscribed within a circle. The two interior angles who share the longest side are 70 and 80. The arc whose chord is the longest side has a length of 120. Find the other two interior angles of the trapezoid, and the other three arc lengths. Answered by Chris Fisher.
	Drawing three coins from 10 coins		2011-09-29
		From Michelle: Three coins are chosen at random from a purse containing 6 dimes & 4 quarters. What is the probability that the selection will contain at least one quarter? Answered by Penny Nom.
	3-digit, daily numbers		2011-09-29
		From Margaret: I need the list/group for a raffle that would contain the combinations for a 3 digit (000-999) daily number. There would be 100 tickets sold with 10 3-digit numbers from each numerical group beginning from 000's, 100's 200's, 300's,...900's. No duplicates/replacement. What would be the list of possible combinations of each group of 100 tickets, keeping each different group/list of combinations in separate blocks of 100 tickets without duplication. So I could use 1 list of 100 this year and the next list of combos next year and so forth. Please help! Example: 000,197,245,367,445,569,618,777,842,964 What would be the possible lists of each 100 tickets? Thank you Answered by Penny Nom.
	Three men sharing a task		2011-09-27
		From Olaniyan: Three men do a piece of work, the first does 7/15, the second does 5/6 of the remainder while the third does the rest.if the rest done by the third person equals 24 units, find the whole piece of work? Answered by Penny Nom.
	A hemispherical bowl with a lead ball inside		2011-09-27
		From Jean: "(a) Water is being poured into a hemispherical bowl of radius 3 inch at the rate of 1 inch^3/s. How fast is the water level rising when the water is 1 inch deep ? (b) In (a), suppose that the bowl contains a lead ball 2 inch in diameter, and find how fast the water level is rising when the ball is half submerged." Answered by Penny Nom.
	90 cm of pipe		2011-09-26
		From margie: A 90cm pipe is cut into two pieces so that one pieces is 6cm shorter than the other. how long was each piece? Answered by Penny Nom.
	A tank is 3/8 full		2011-09-24
		From Olaniyan: When 150 liters has been drawn from a tank, it is 3/8 full; how many liters will the tank hold? Answered by Penny Nom.
	Eight percent		2011-09-22
		From Michelle: Hello. I need help with a math problem please. I have not done this in so long. This is a 40% margin 360X8%= Answered by Penny Nom.
	The sides of a regular octagon of area 800 sq. ft.		2011-09-21
		From Susan: Help please. I am building an octagon tree house to live in. I would like the total square footage to equal 800 to 1,000 sq ft. How long should each side of the octagon be. tx, susan Answered by Penny Nom.
	Place value		2011-09-20
		From Ivana: the digit in the ones place is a hand with out a thumb(4) 2) the digit in the thousands place is 2 less than the digit in the one's place. (4-2= 3) the digit in the ten's place is the sum of 2 and 6 (2+6= 4) the digit in the hundreds place is what you get when you get when you subtract 5 from the digit in the ten's place (ten's-5= what is the number? Answered by Penny Nom.
	The volume of a hexagonal prism		2011-09-19
		From Denise: I am being asked to find the volume of a hexagonal prism, base edges are 3cm, and a height of 15cm. The book that I am working from says that the answer is 77.94cm(cubed) but no matter what the equation I use I always get the answer 116.9/117. Please help! Thank you! Answered by Penny Nom.
	Depth of a property		2011-09-18
		From lizlurie: i am looking at purchasing a five acre plot but we can make the dimensions in any direction we want. if the width of the property is 309.55 and we went straight back from that 5 acres what would be the depth in feet of the property????? thanks so much!!! Answered by Penny Nom.
	5 crayons		2011-09-17
		From John: How many four color combinations are possible with 5 crayons Answered by Penny Nom.
	A number less than 100		2011-09-17
		From Sharon: I am a number less than 100. My ones digit is 6 the sum of my digit is 11. What sum am I? Answered by p.
	A rectangle of largest possible area		2011-09-16
		From mary: Steven has 100 feet of fencing and wants to build a fence in a shape of a rectangle to enclose the largest possible area what should be the dimensions of the rectangle Answered by Penny Nom.
	One factor array		2011-09-16
		From Hana: hi my brother a 5th grade have a question. this is what it say "i have only one factor array, and i am between two numbers 12 and 16. what number am i?" Answered by Penny Nom.
	A four digit number		2011-09-16
		From gina: i am having a hard time figuring this out.. i believe the answer is 3105 but the 0 is throwing me off... i am a 4 digit number between 3100 and 3200, none of my digits are even, the sum of my digits is 9, the largest digit is in the ones place, what number am i ?? Answered by Penny Nom.
	A rectangular wall		2011-09-12
		From Jimi: The area of a rectangular wall of a barn is 110 square feet. It's length is 12 feet longer than twice its width. Find the length and width of the wall of the barn. Answered by Penny Nom.
	Blocks in a wall		2011-09-12
		From JOHN: HOW MANY BLOCK WILL IT TAKE TO BUILD A 28*48 HOME, ON A FOOTER THAT IS DONE ALREADY, I WANT TO GO TEN HIGH. Answered by Harley Weston.
	A beginning algebra question		2011-09-10
		From Tobby: A=1/2 solve for h.area of a rectangle with b and h Answered by Penny Nom.
	The height of a building		2011-09-09
		From Sally: A building's angle of elevation from a point on the ground 60 ft. from its base is 32 degrees. What is the height of the building? Answered by Penny Nom.
	- 16 x 6 / -2		2011-09-09
		From Nadiyah: i dont understand how to answer this question ; - 16 x 6 / -2 i still dont understand it with bedmas / = divison please help! Answered by Penny Nom.
	Decartes' circle theorem		2011-09-07
		From Joseph: Given 3 circles of diameters 50, 55, and 60 units, Place them externally tangent. What is the diameter of the outer circumscribing circle, tangent to all 3 circles? I can attach a pdf if this description is not clear. Not urgent, this has nothing to do with current assignments, just wondering if I have developed the best methods? Answered by Chris Fisher.
	Composition of functions		2011-09-05
		From Jenna: Let f(x)=x^2-1 and g(x)=1-2x. Find the indicated values. 1. f(g(1)) and g(f(1)) Thanks, Jenna Answered by Penny Nom.
	The derivative of f(x) = (x+1)^1/2		2011-09-05
		From Carla: Find the derivative using the limit process of f(x) = (x+1)^1/2 Answered by Harley Weston.
	A tangent to the earth		2011-09-03
		From Vickram: I have a math problem regarding tangent and circle. My example is as follows: if a long flat ruler measuring 1500 miles is placed on top of earth which has a radius of 3960 miles what part (length) of the tangential ruler will actually be touching the earth and what two parts will not? Answered by Chris Fisher.
	Geometry Related Careers		2011-09-01
		From Richard: Good morning, I am hoping to find a list of careers that would relate to geometric constructions and tessellations. I have searched the internet some and some of the sites I have found are a bit questionable or dated. Are there sites that Math Central would recommend? I could not find anything when I did a search on the site. Thanks in advance, RVD Answered by Walter Whiteley.
	4 x 2		2011-08-30
		From Lucjan: how to sketch a diagram that shows 4x2 expression? Answered by Penny Nom.
	Exponential form?		2011-08-30
		From Emily: I have a 6th grader that needs to find out what is the exponential form of 461,885,811 Answered by Penny Nom.
	A pattern for a cone		2011-08-30
		From Izzy: I need to create a cone as a prop and my math is not good enough to create the pattern. Here are my instructions : The diameter is 2'5" and it has to be 4 feet tall. It is a giant cone. I want it to be pointy at the end, not truncated. Answered by Penny Nom.
	A coin toss game		2011-08-29
		From Aniish: A and B alternately toss a coin.The first one to turn up a head wins.If no more than 5 tosses each are allowed for a single game,find the probability that the person who tosses first will win the game?What are the odd's against A losing if she goes first? Answered by Penny Nom.
	A border around a flower garden		2011-08-28
		From jessica: A Landscaper, who just completed a rectangular flower garden measuring 6 feet by 10 feet, orders 1 cubic yard of premixed cement, all of which is to be used to create a border of uniform width around the garden. if the border is to have a depth of 3 inches, how wide will the border be? ( 1 cubic yard=27 cubic feet) Answered by Penny Nom.
	The dimension of the box in centimetres		2011-08-27
		From Eliza: Find the dimension of the box in centimetres. Then find its volume in cubic centimeters. The box is 0.7m (l) 0.4 (h) 0.2 (w) Answered by Penny Nom.
	An anti-freeze solution		2011-08-27
		From aniish: The radiator of a jeep has a capacity of 4 gallons. It is filled with an anti-freeze solution of water and glycol which analyzes 10% glycol.what volume of the mixture must be drawn off and replaced with glycol to obtain a 25% glycol solution? all percentages are by volume Answered by Penny Nom.
	58 choose 4		2011-08-26
		From Jean: Using only the numbers 1-59, how many times would the number 23 appear in combinations of 5 numbers? ... Can a list be provided as well? Thank you very much, Jean Answered by Penny Nom.
	25 billion dollars		2011-08-26
		From Bill: If you have $25billion dollars, what would the value of this amount become if you inflated it at 4% per year for 55 years?=C2=A0 My TVM calculator will not go this high. Answered by Penny Nom.
	A two digit number		2011-08-26
		From Felicia: Write the 2-digit number that matches the clues. My number has a tens digit that is 8 more than the ones digit. Zero is not one of my digits Answered by Penny Nom.
	The cost of petrol		2011-08-26
		From Sam: Hi, i'm confused about this question from my textbook, here goes: The cost of petrol for a 240 km journey for a car which runs 12 km on each litre of petrol is $24. What would be the cost of petrol for a 500 km journey for a van which runs 11km on each litre of petrol? please answer in detail and thanks in advance :) Answered by Penny Nom.
	Driving to meet Mary		2011-08-24
		From Denise: mary leaves St Paul traveling 2000 miles @ 55 MPH; John leaves LA traveling 2000 miles @ 45 MPH how many miles will John had traveled to meet mary? Answered by Penny Nom.
	The length of an arc		2011-08-24
		From nuel: Is there any formula to calculate the arc length from only the chord length and angle between the chord and tangent of the arc at its endpoint ? Answered by Penny Nom.
	Exponential form		2011-08-23
		From kiara: The African bush elephant is the largest land animal and weighs about 8 tons . Write the amount in exponential form . Answered by Robert Dawson.
	Romeo throws a pebble at Juliet's wondow		2011-08-22
		From Natalie: There is a picture of Romeo trying to attract Juliet's attention without her nurse who is in a downstairs room, noticing. he stands 10m from the house and lobs a small pebble at her bedroom window (3.5m high). Romeo throws the pebble from a height of 1m with a speed of 11.5m/s at an angle of 60degrees to the horizontal. I have already found that it take 1.74seconds to reach the window and that it does in fact hit Juliet's window however i cannot work out the speed of the pebble when it hits the window! The answer is 9.12m/s but I cannot reach this answer. Hope you can help me :) Answered by Robert Dawson.
	A step function		2011-08-22
		From Giovanna: An average school bus holds 45 people. Show a graph between the relationship of students who need bus transportation and number of buses required? Answered by Robert Dawson and Penny Nom.
	Three tangent circles		2011-08-21
		From maribie: three discs are tangent externally distances between their centers are 23cm, 15cm, and 20cm. find their radii.t Answered by Penny Nom.
	Find the distance from the ladder's base to the wall		2011-08-19
		From Donna: A 16 foot ladder leans against a wall at a 67 angle of elevation I need to find the distance from the ladder's base to the wall Answered by Penny Nom.
	A picture with a frame		2011-08-19
		From Aniish: A picture 8inches by 12inches is placed in a frame of uniform width. If the area of the frame equals the area of the picture find the width of the frame? Answered by Penny Nom.
	Three tangent circles		2011-08-19
		From hanniel: two coin are tangent to a third coin internally and are tangent to each other externally. The distance between their centers are 14 mm, 17mm, and 5mm. find their radii Answered by Penny Nom.
	An octagonal fire pit		2011-08-19
		From terry: i have a 18 ft diameter gravel circle laid down for a fire pit. i want to lay the paver stones out in a octagon pattern. How long would the sides of my octagon be to fit center on the 18 ft diameter of gravel base? Answered by Penny Nom.
	3.8 x 2.2		2011-08-18
		From Isaac: Question from isaac, a student: I am struggling in math & I need help on multiplying 3.8 x 2.2. Can you helpme Answered by Melanie Tyrer and Harley Weston.
	Ordering fractions		2011-08-17
		From Myon: My problem is putting fractions from least to greatest and they are 1/4 2/5 1/3 4/6 1/2 8/9 3/4 1/1 2/6 1/10 thanks Answered by Penny Nom.
	Two line segments in the plane		2011-08-15
		From Tim: For this problem I actually have tried to visualise the image in my head many times. This question makes my head spin. Four points lie in a plane. They are partitioned into two pairs so that the sum of the lengths of the segments joining the points of each pair has the minimal possible value. Prove that these segments have no common points. Answered by Chris Fisher.
	A cyclic quadrilateral		2011-08-15
		From Tim: Hi! I've been working on this for a while and I'm quite stuck. If anyone can help that would be great. The sides BC and AD of a quadrilateral ABCD are parallel. A circle meets the side AB at B and E and the side CD at C and F. Prove that the quadrilateral AEFD is cyclic. Answered by Chris Fisher.
	A sequence		2011-08-14
		From intesar: how do i figure this out 0,1/6,2/9,3/12 Answered by Penny Nom.
	The third term of a sequence		2011-08-13
		From sammantha: Find the 3rd term of the sequence, an=1.5(4)n - 1. Answered by Penny Nom.
	A ratio as a fraction in lowest terms		2011-08-12
		From jonecia: write this ratio as a fraction in lowest terms 707days of 112days? Answered by Melanie Tyrer.
	50,000 cubic yards of dirt		2011-08-12
		From JUDY: IF MY HUSBAND HAS A JOB THAT REQUIRES HIM TO MOVE 50,000 CUBIC YARDS OF DIRT, HOW MUCH LAND WOULD THAT COVER AT 1 FOOT DEPTH. Answered by Penny Nom.
	Infinite Logarithmic Series		2011-08-08
		From Sourik: Dear Expert, In my Amithabha Mitra and Shambhunath Ganguly's "A Text Book of Mathematics" I found the formula of log (1+x) where the base is e and x lies in between -1 and +1.As I want to learn Mathematics,I am not satisfied with the mere statement of the formula.Please help giving me the full proof. Thanking you, Sourik Answered by Robert Dawson.
	A concrete octagonal pad		2011-08-04
		From Tina: I have a project where I need to construct a concrete octagonal pad. Each side is 12' and it is 5" deep. Please tell me how to calculate square yards of concrete. Thank you. Answered by Penny Nom.
	A 3 foot circle using 1/2" cord		2011-08-04
		From Cindy: To make a 3 foot circle using 1/2" cord - how many lineal feet of cord do I need? Answered by Robert Dawson.
	A lock box		2011-08-03
		From Tom: I need to open a lock box from my parent's estate. The combination is a simple 4 number lock. The last two numbers are 33. Numbers can be used more than once.What are the possible combinations? WP Answered by Harley Weston.
	Ben's favourite numbers		2011-08-03
		From Luke: Ben challenges you to guess his favourite numbers by using the following three clues: -Each number is a four-digit odd number. -Each is a palindrome -The digits of each number add up to 10 -None of the numbers are divisible by 5 Answered by Robert Dawson.
	A cone with an oval as a base		2011-08-03
		From Emily: Hi, I was wondering how to calculate the surface area of a cone with an oval as a base (which I think is referred to as an elliptic cone or something like that). I have the both the maximum and minimum radius as well as the height, but I don't have a slant height and I'm not sure how to calculate it and then calculate surface area. I would really appreciate some help. Thanks! Answered by Robert Dawson.
	A point on a circle		2011-08-02
		From George: I know the center location (x,y) of the circle, I know the radius of the circle, I know the location (X,Y) of one point on the circle, and I know the angle (in degrees not radians) between the known point location (X,Y) and an unknown point location (let's call it (A,B) for reference). What formula(s) can I use to find out the coordinate position of (A,B)? Answered by Chris Fisher.
	A trapezoid		2011-08-02
		From Nazrul: How can I draw a trapezoid whose parallel sides and other two sides are given. Answered by Chris Fisher.
	An equation in the form Ax+By=C		2011-07-28
		From Mike: I need to write an equation in the form Ax+By=C The points I was given are (5,0) and (-3,5) I know how to find the slope I got -5/8 and wrote it out as y=(-5/8)x+b however I'm not quite sure where to go from here. Any help would be greatly appreciated. Answered by Penny Nom.
	A stained glass lamp		2011-07-25
		From Guy: Like Kay, I also work in stained glass, but in 3-dimensions. I am frequently asked to replicate lamp shades in stained glass where the diameter of the top is different (narrower) from the diameter of the bottom (which is wider). Some people want 5, 6, 7, 8, 10, 12, 16, ,,, n-sided shades. Is there a formula I can use to determine the width of the sides using the angle, if I remember correctly, I think it's called theta. In other words, is there a formula where I can plug in the angle which describes the arc of the circle. For instance, if someone asks for a 7 sided shade, plugging in 51.43 (360/7). I could then use that to determine the width at the top and bottom rings to create the appropriate trapezoids. I've visited a few sites so the formula looks like its a function of sin & cos but they are presented like proofs for teaching. Your site appears to want to actually answer questions without making the inquirer feel stupid. Answered by Harley Weston.
	The height of a fluid in a horizontal tank		2011-07-24
		From jason: Same set up as many others, cylindrical tank on its side, but I am interested in defining the change in volume and/or fluid level as a function of time at a constant volumetric outflow. I plan on hooking a pump to the tank so "gpms' will be constant. I have a couple different sized tanks and pumps so I want a general equation. Thanks for your help. Answered by Harley Weston.
	A cylinder fits perfectly in a box		2011-07-18
		From Brix: A cylinder fits perfectly in a box. 76 cubic inches of oil is poured into the space between the cylinder and the box, filling the space halfway. If the box is 3ft wide, how tall is the cylinder in inches? Answered by Stephen La Rocque.
	A regular hexagon inscribed in a circle		2011-07-18
		From Courtney: If ABCDEF is a regular hexagon inscribed in a circle of radius r, prove that the length of each side of the hexagon equals r. Answered by Penny Nom.
	A rectangle is inscribed in a circle		2011-07-17
		From Alexea: A rectangle is inscribed in a circle of diameter 15in. Express the perimeter as a function of the width x. Answered by Penny Nom.
	A linear equation with fractions		2011-07-13
		From Simon: I would like to ask if you would be able to explain : linear equation: 2 1/2 (X-1) - x+3 /3 = 4 , the first step shows multiplying by 2 then multiplying by 3. etc. What I don't understand is where the 2 in multiplying by 2 comes from? ( the three is pretty obvious being x+3 /3 (to get rid of the divided by) ) . Thanks for your help. Answered by Penny Nom.
	Fencing around a pool		2011-07-12
		From Anita: The measurement of a swimming pool are 32 feet by 18 feet. How much fencing is needed if the fence is to be built 7 feet from each side of the pool? Answered by Penny Nom.
	A group of 40 golfers		2011-07-11
		From Doug: We are a group of 40 golfers who play in 10 x foursomes playing 3 rounds. Can we all play with different players each round yet maintain the foursomes format. Answered by Victoria West.
	Golf for 14		2011-07-11
		From Doug: We have 14 players playing over 4 days. can we play with different players every day and keep the 3 x foursomes and 1 x pair format Answered by Victoria West.
	Two piles of cards		2011-07-09
		From maribie: a standard deck of playing cards contains 26 black cards and 26 red cards, or 52 cards in all. a deck is randomly divided into two unequal piles, such that the probability of drawing a red card from the small pile is 1/3. at the same time, the probability of drawing a black card from the larger pile is 5/14. how many cards are in the larger pile? Answered by Penny Nom.
	Golf for 12		2011-07-07
		From Jim: I have a golf trip scheduled with a total of 12 guys. We are playing three rounds of golf. For round 1 Players A B C D must play together. Is there a formula that would allow me to set up the other 8 foursomes with no repeats or minimal repeats? Thanks. Answered by Victoria West.
	concentric circles		2011-07-06
		From maribiie: two circles are concentric. the tangent to the inner circle forms a chord of 12cm in the larger circle. find the area of the "ring" between the two circles? Answered by Penny Nom.
	Achilles and a turtle		2011-07-01
		From Jean: Achilles and a turtle are having a race. The turtle starts 45m ahead of Achilles and Achilles is twice as fast as the turtle. If turtle runs at 1m/s,how far would the turtle have run before he is outrun by Achilles? Answered by Penny Nom.
	A one year investment		2011-07-01
		From Jean: If the yearly income from an investment is $30 and the annual interest rate is 12%,what is the original investment? Answered by Penny Nom.
	The nth term of a sequence		2011-07-01
		From Rachel: I am trying to help my son get ready for our Aims test and I am not much help. The sequence is 2,5,10,17 The question is which equation represents the rule for finding the nth term for this sequence a. an=n + 1 b. an=2n2 c. an=n2+1 d. an=2n+1 Answered by Penny Nom.
	A column and a sloped ceiling		2011-06-10
		From Tom: Hi! I am a woodworker who needs some help finding a formula. I have to make a cylinder shape column that butts up against a sloped ceiling using bending plywood. I need to figure out how to cut the shape on this flat piece of material. The diameter of the column is 54.375". The tallest point is 9 13/16" and the shortest point is 4 7/16". Any help would be greatly appreciated. Answered by Harley Weston.
	Construct a 30 degree angle		2011-06-10
		From Ella: they give you a simple straight line and ask you to construct an angle of 30 degrees at one end of the line using only a ruler and a compass? Answered by Penny Nom.
	Two trains		2011-06-07
		From Lynn: If the 1st train goes 60 mph and the 2nd train leaves 10 minutes later = at a speed of 70 mph, how long does it take to catch up with the 1st = train. Answered by Penny Nom.
	The diameter of a cake		2011-06-06
		From nurul: Best Bakery shop received an order from your school to bake a 5kg of round cake for teachers day celebration. if a kilogram of cake has a volume of 3800cm^3,and the height of cake is to be 7.0cm, calculate the diameter of the baking tray to be used to fit the 5kg cake ordered by your school?(used pai=3.142) Answered by Penny Nom.
	17/20 of way around around an octagon		2011-06-05
		From Priscilla: What side of an octagon is a snail on if it is 17/20 way around? I think it is 6.8? Does that mean it is on side 6 or 7? Answered by Penny Nom.
	A line tangent to f(x)=1/x		2011-06-05
		From Michael: A line tangent to f(x)=1/x in the first quadrant creates a right triangle with legs the x-axis and the y-axis. Prove that this triangle is always 2 square units regardless of where the point of tangency is. Answered by Penny Nom.
	Tiles for a back splash		2011-06-04
		From Catherine: How man 3 11/16 tiles do I need for 28 square foot for a back splash Answered by Penny Nom.
	A reel of paper		2011-06-03
		From keith: if a full reel of paper has 7750 metres on it with a diameter of 1240mm and a core diameter of 100mm how can work out the thickness of each strip of paper therefore allowing me to work out the metreage of the roll when its half in diameter at say 620mm Answered by Penny Nom.
	A markup of 40%		2011-06-01
		From angie: Want to mark up 2.50 by 40%. Would I do 2.50 x 1.4 =3.50 ? Answered by Penny Nom.
	The surface area of a hemisphere		2011-05-29
		From Brenda: What is the surface area of a hemisphere with a radius of 2 inches? Answered by Penny Nom.
	The volume of a decagonal prism		2011-05-29
		From Susan: How do you find the volume of a decagonal prism? Answered by Penny Nom.
	How tall is the pole?		2011-05-27
		From cynthia: 20 foot rope is tied 2 feet from the top of a pole and secured 8 feet from the base of the pole....How tall is the pole? Answered by Penny Nom.
	How many meters long should the race be?		2011-05-26
		From Lee: Nathan can walk at a rate of two meters per second while David can easily go three-and-a-half meters per second. David offers Nathan a 45 meter head start. How many meters long should the race be in order for Nathan to win by a nose Answered by Penny Nom.
	16 golfers and 8 rounds		2011-05-26
		From Gerry: 16 golfers and 8 rounds. To have each player play with as many others as possible. Answered by Victoria West.
	pi/2 + 12/13		2011-05-24
		From Jen: If you have (pi/2) and you want to add it to (12/13), how would you go about it? Answered by Chris Fisher.
	U(n+1) = 2Un + 1		2011-05-22
		From Cillian: In a certain sequence, to get from one term to the other you multiply by 2 and add 1, i.e. This is a difference equation of form: U(n+1) = 2Un + 1. prove that there is a maximum of 2 perfect squares in this sequence Answered by Claude Tardif.
	Problem solving with fractions		2011-05-21
		From emilyd: I had a packet of sweets. I put 1/5 of the sweets into Container A, 1/3 of them in Container G, 10 sweets in container C and the rest in container D. If the number of sweets in container D is equal to 75% of the total number of sweets in container A and B, how many sweets are there altogether? Answered by Penny Nom.
	What is the angle of decent?		2011-05-20
		From Taten: So you have an airplane with an altitude of 5.8KM. It has 46KM till the run way. What is the angle of decent? Answered by Penny Nom.
	Draping a room with fabric		2011-05-19
		From Maria: I need to drape an entire room with fabric. The width of the fabric is 120 inches. How many yards of fabric do I need if the room is 4000 sq ft. (50 x 80 ft) and the ceiling is 12 ft. high. Answered by Penny Nom.
	A pipe in a ditch		2011-05-19
		From Jim: How many cubic feet of stone will it take to fill to six inches around a 4 inch pipe in a ditch 128 ft long x 20 in wide? Answered by Penny Nom.
	The length of a belt around three pulleys		2011-05-18
		From Grant: I need to calculate the belt length around these pulleys, please can you help or refer me? Known variables D - Large Pulley Diameter d - Small Pulley Diameter c - Center Distance between D and d T - Tension Pulley Diameter x - Horizontal Distance between T and d' Centers y - Vertical Distance between T and d's Centers I need to calculate the belt length around these pulleys. Kind Regards, Grant Answered by Harley Weston.
	Exponential form		2011-05-18
		From Kara: How do I write this in exponential form? log 1/8 = -3 Answered by Penny Nom.
	A rational number		2011-05-17
		From owais: according to definition of irrational number "a number which cannot be expressed in p/q form is called irrational number" square root of 2 is a irrational number but if i round off the digit correct to two decimal places so it becomes 1.41 and we can easily convert into p/q form so it is a rational number ??? Answered by Penny Nom.
	What was his salary before the raise?		2011-05-16
		From Annette: Need to show all my work and round to the nearest dollar. If James received a 9% raise and is now making $102.00 per year, what was his salary before the raise? Answered by Penny Nom.
	Numbers with a digit 9		2011-05-13
		From Veronica: How many numbers between 200 and 750 have a 9 for at least one of the digits? Answered by Penny Nom.
	Two whole numbers		2011-05-11
		From yolanda: The sum of two whole numbers is 12.If the sum of the squares of those numbers is 74,what are the two numbers? Answered by Penny Nom.
	What is the perimeter if the area is 20 ft?		2011-05-10
		From Brooke: What is the perimeter if the area is 20 ft? Answered by Penny Nom.
	Find two numbers whose difference is 153.		2011-05-10
		From Scott: Find two numbers whose difference is 153. Answered by Penny Nom.
	Golf with 36 players		2011-05-09
		From Terry: What is the calculation to have 36 players play in a different foursomes each week. I would guess this would take 12 times but do not know how to figure this out Answered by Victoria West.
	The domain of a function		2011-05-08
		From Minks: (x^2 + 1 / x^2 +2x - 3 ) X ( x^2 -9 / x^2 - 2x - 3) Answered by Penny Nom.
	The dimensions of a rectangle		2011-05-08
		From yolanda: If the length of a rectangle is 3ft less than twice its width and the area of the rectangle is 54ft^2,what are the dimensions of the rectangle? Answered by Penny Nom.
	The volume of a triangular shaped aquarium		2011-05-07
		From Jeff: HI, I searched the site but really couldn't find my answer, at least that I could understand! I have a triangular shaped aquarium ( think of a cube, except its an equal triangle shape). all 3 sides are 48 inches, and it is 34" tall. Can you please tell me what the volume is in gallons? Thanks! Answered by Penny Nom.
	A circle inscribed in a triangle		2011-05-07
		From Aishwarya: The angles of a triangle are 50, 60, and 70 degrees, and a circle is touches the sides at A, B, C. Calculate the angles of the triangle ABC. Answered by Penny Nom.
	The game of 24		2011-05-06
		From shaylin: how do you use 3,9,7,9 once in any operation equal to 24? Answered by Penny Nom.
	(4x-5)(3x+2)=0		2011-05-04
		From Corina: solve: (4x-5)(3x+2)=0 Answered by Penny Nom.
	The linear thermal expansion of steel		2011-05-03
		From Scot: Several questions on your site deal with the linear thermal expansion of steel. Such as how much will a piece of steel grow in length if it is heated. My question is similar but I would like to know if there is a different calculation to determine how much the diameter of a round bar will grow when heated. Can you tell me how I can calculate how the diameter of .500" round steel will increase for every degree of temperature change? If a bar is raised from 60 degrees F to 120 degrees F how much will the diameter change? Answered by Robert Dawson.
	An exclusion zone around a triangle II		2011-05-03
		From Aishwarya: A long time ago Mr gibson found an island shaped as a triangle with three straight shores of length 3km, 4km and 5km. He declared an exclusion zone around his island and forbade anyone to come within 1km of his shore. What was the area of his exclusion zone? This question was answered but did not understand the explanation. Answered by Robert Dawson.
	A scale of 1:160		2011-05-02
		From Dave: a 4 foot by 8 foot sheet of plywood is how many acres in a scale (1:160) Answered by Penny Nom.
	How many students are 25 and under?		2011-05-01
		From ella: use the five steps of problem solving to answer the following question Enrollment at a local university is 8,500. There are one third as many students over the age of25. there are 25 and under. how many students are 25 and under and how many are 25 and older(p 5) Answered by Penny Nom.
	Three tangent circles		2011-05-01
		From mark: Three circles of radii 24 cm, 32 cm, and 42 cm are externally tangent to each other (each is tangent to the other two). Draw a diagram and using the Law of Cosines find the largest angle of the triangle formed by joining their centres. Answered by Penny Nom.
	A trough of water		2011-05-01
		From alvin: A trough is formed by nailing together, edge to edge, two boards 11 ft. in length, so that the right section is a right triangle. If a 15 gallon of water are poured into the trough and if the trough is held level so that a right section of water is an isosceles right triangle, how deep is the water? (231cu.in=1 gal.) Answered by Penny Nom.
	The nth term		2011-04-30
		From Samantha: predict the general term, or the nth term, An for the sequence. 1/2,2/3,3/4,4/5,5/6 Answered by Penny Nom.
	The area of a rectangle		2011-04-30
		From Hayley: A rectangles width is exactly twice its length. The area of the rectangle is 450 square feet. What are the length and width of the rectangle? Answered by Penny Nom.
	Why use percentiles?		2011-04-29
		From Kenneth: I need some clarification regarding the word "percentile." Here is an example and what I know: If an investor had twenty stocks in his portfolio and five of those stocks paid an annual dividend of $200.00 or more, the five stocks are in the 25 percentile. Why is this word necessary? If my example and explanation is correct, why not simply indicate that 25% of his stocks paid an annual dividend of $200.00 or more? Answered by Penny Nom.
	Deciding where to bowl		2011-04-29
		From ella: the bowling alley on wedge street charges $5.50 for shoe rentals plus $2.50 per game. lawerence bowing alley charges $4.00 shoe rentals and $3.00 per game . how many games should they bowl to make wedge street cheaper than lawerence street Answered by Penny Nom.
	The perimeter of a figure		2011-04-27
		From syed: Hello I'm Syed from Bangladesh. Please help me out! It is killing me. The question is=2C find the perimeter of the figure. I can't find the perimeter. I am enclosing the figure as an attachment. Answered by Penny Nom.
	5 digit numbers using the digits 5 and 2		2011-04-27
		From sissy: I need a list of all possible 5 digit combinations using 5 and 2 numbers can repeat Answered by Penny Nom.
	cos(x) = -1/(square root of 2)		2011-04-27
		From Shelby: Find exact value of x for 1 <(or equal to) x < 2pi a) cos(x) = -1/(square root of 2) Answered by Penny Nom.
	The radius of a cylinder		2011-04-27
		From Jazmin: Hi, I don't understand how to find the radius in a cylinder with only the surface area (143.7) and the height (0.8)? I know that the formula is 2pir2+2pirh, but I don't see how to isolate the r? I appreciate your help. Answered by Penny Nom.
	The length of a chord		2011-04-25
		From G: A 120 degree central angle intercepts a circle at the points A and B. The radius of the circle is 10 cm. Find the length of chord AB. Answered by Penny Nom.
	(27^r^-1)^-2/3		2011-04-24
		From Yung-Ju: (27^r^-1)^-2/3 Answered by Penny Nom.
	A right angled triangle		2011-04-22
		From jeremy: Solve the right triangle with the given sides and angles. a=3.0 cm and b=1.6 cm Answered by Penny Nom.
	Two trig equations		2011-04-20
		From Tony: find the value of pi in the following: sin pi= cos(pi + 40) sin(80 - pi)=cos pi Answered by Penny Nom.
	Dividing the profits		2011-04-19
		From Tracy: I need to know how to come up with the answers to the following problems. I need to be able to show my work. So can you help me on how to come up with the answers to questions like these. Thanks. Three individuals form a partnership and agree to divide the profits equally. X invests $9,000, Y invests $7,000, Z invests $4,000. If the profits are $4,800, how much less does x receive compared to having the profits divided in proportion to the amounts invested by X, Y, and Z? In printing an article of 48,000 words, a printer decides to use two sizes of type. Using the larger type, a printed page contains 1,800 words. Using a smaller type, a page contains 2,400 words. The article is allotted 21 full pages in a magazine. How many pages must be in smaller type? ___________ thank you Answered by Penny Nom.
	How many cats are needed to catch 60 rats in 1 hour?		2011-04-19
		From Melody: If 3 cats can catch 3 rats in 3 minutes, how many cats are needed to catch 60 rats in 1 hour? Answered by Penny Nom.
	The quadratic with two given roots and a constant term		2011-04-19
		From Lindah: how do I food quadratic with two given roots and a constant term? Answered by Penny Nom.
	Solve x(x-3) = 5 (x+4)		2011-04-19
		From Ashley: I have to solve using the quadratic formula. And my answer should be in simplest exact form. And I can't approximate. I really need help to prepare for a test .... x(x-3) = 5 (x+4) Answered by Penny Nom.
	An antiderivative of the square root of (8t + 3)		2011-04-19
		From Caitlyn: I know how to take an antiderivative. But this one's stumping me. I need it to finish a problem. What's the antiderivative of the square root of (8t + 3) ~Caitlyn= Answered by Penny Nom.
	Ramon has 6 puppies		2011-04-17
		From Mary: Ramon has 6 puppies. Five of the 6 weigh the same and one puppy is heavier. If Ramon had a balance scale, what is the least number of times he could weigh the puppies to be sure he could determine which puppy was heavier? Answered by Penny Nom.
	Find the rate at which the searchlight rotates		2011-04-17
		From Meredith: A searchlight is position 10 meters from a sidewalk. A person is walking along the sidewalk at a constant speed of 2 meters per second. The searchlight rotates so that it shines on the person. Find the rate at which the searchlight rotates when the person is 25 meters from the searchlight. Answered by Penny Nom.
	Cone story problem		2011-04-16
		From Chelsea: There is a cone with a story problem that states only that the radius is the same as the altitude and that the slant height of the cone is 6cm. I have no idea how to figure this problem out. Answered by Penny Nom.
	The equation of a sphere		2011-04-16
		From kanika: equation of sphere and how to know its center Answered by Penny Nom.
	Dividing a polygon into triangles		2011-04-16
		From Foxie: You have a given regular polygon with n vertices and you divide it into triangles(using the vertices of the polygon) which each share at least one side with the polygon. How many distinct ways can you divide the polygon if its vertices are numbered? For n=3 it's 1 way, for n=4 it's 2 ways for n=5 5 ways, I'm not quite sure but think that for n=6 it's 12 ways... thanks in advance! Answered by Claude Tardif.
	The volume of a triangular pyramid		2011-04-15
		From Chelsea: There is a triangular pyramid which is an equilateral on the base with all sides 16.5 and the height is 25. I have to find the volume. Please help! Answered by Penny Nom.
	A concrete walk around a pool		2011-04-15
		From Skipper: I want to know the answer if you were to want a pool to be 20 ft by 30 ft and wanted a 5 ft border around it what would be the dimension of the whole area plus concrete walk Answered by Penny Nom.
	Arrangements of ten letters		2011-04-15
		From Mustafa: In how many ways can the ten letters of the word GELATINOUS be arranged in a line so that the vowels are in alphabetical order (not necessarily together) when read from left to right? Answered by Penny Nom.
	A golf league of 60 golfers		2011-04-14
		From Keith: I have a golf league of 60 golfers and I want to have each golfer play in a different group of 4 each week for 24 weeks. How can I do this Answered by Victoria West.
	Coefficient of variation		2011-04-14
		From Braden: When determining coefficient of variation (CV) or %CV is it possible to calculate %CV for two variables? For instance can %CV be used to determine the precision of 5 data points on a graph using the X and Y coordinates? or does %CV need to be determined for each variable separately? Answered by Robert Dawson.
	The volume of a hopper		2011-04-13
		From michael: I have a tank that is 72" x 72" at the top and 10" x 10" at the bottom and is 31" tall. I need to calculate the cubic feet of the tank Answered by Penny Nom.
	Decreasing numbers		2011-04-13
		From Hadi: A number is called a "decreasing number" if each digit in the number is less than the digit to its left. For example, 87420 is a deceasing number. How many five-digit decreasing numbers are there? Answered by Claude Tardif.
	-1 = -sin^2x - cos^2x		2011-04-11
		From veronica: I need the solutions for -1 = -sin^2x - cos^2x Answered by Penny Nom.
	How far is it from the control tower?		2011-04-11
		From Varun: An aircraft is vertically above a point which is 10 kms west and 5 kms north of a control tower. if the aircraft is 4000 mts above the ground,how far is it from the control tower? Answered by Penny Nom.
	2 cubic foot bags of mulch		2011-04-11
		From Ron: if I buy 2 cubic foot bags of mulch, how bags would I need to equal 1 yard? (13 bags?) Answered by Penny Nom.
	PEDMAS		2011-04-10
		From Ross: 48 ÷ 2 (9+3) Is the answer 2 or 288? Answered by Harley Weston.
	x/6 + 4/5 = x/9		2011-04-10
		From Khadija: x/6 + 4/5 = x/9 Answered by Penny Nom.
	Real-life applications of trigonometry		2011-04-10
		From Angela: I am a teacher and I desire to show the students the real-life application of trigonometry. Of course, one application is to use a clinometer and find the heights of various things. However, I am trying to provide a real-life scenario which also answers the question "why" the height of the object needs to be found. Not being an engineer, I do not know the specifics examples, but I want my information to be accurate and my example to to be as real-life as possible. I mean, I can say that someone wants to know the height of a flagpole; however, I also want to answer the question "why" they want to know this. I would like to give an actual real-life scenario. Do you know of some? Thanks! Answered by Penny Nom.
	8 golfers playing 2 groups of 4 each day for 5 days		2011-04-08
		From Chris: Hi, 8 golfers playing 2 groups of 4 each day for 5 days. Trying to work out how they can organise playing at least once, and no more than twice, with everyone over the 5 days. We always come up with someone playing 3 times with another in one of the 4's! Hope you can help! Regards. Answered by Victoria West.
	The degree measure of an arc in a circle		2011-04-08
		From Deb: How do I find the degree measure of an arc in a circle with the Length of 14 and the radius of 70? Answered by Penny Nom.
	The development of the Pythagorean theorem		2011-04-08
		From Ataa: I am doing a assignment on Pythagorean Theorem and i am stuck on the sub-question development of the Pythagorean theorem and i really need help can u give me accurate info for this because i am not finding anything!!!thanks in advance. Yours truly AUMAKHAN Answered by Chris Fisher.
	The volume of a flower pot		2011-04-07
		From kp: I have 2 flower pots with the following dimensions that I am trying to calculate the volume of Soil I will need to fill them. pot #1 29"tall, top of pot 31.5 inches across( radius of 15.5") the bottom of the pot is 21"across (radius 10.5) Pot #2 29"tall, top of pot 26 across (radius 13") the bottom of the pot 17'"a cross (radius 8.5") thank you KP Answered by Penny Nom.
	Eliminate y		2011-04-07
		From Lynn: 2x + y = 8 y + 3z =5 z + 2w =1 5w + 3x = 9 Form three equations with y eliminated Answered by Penny Nom.
	A conical container and a spherical balloon		2011-04-06
		From Steven: Water is running out of a conical container 12 feet in diameter and 8 feet deep (vertex down) and filling a spherical balloon. At the instant the depth of the water in the cone is 4 feet, the radius of the sphere is approximately 4 feet. The rate of change of the depth of the water in the cone at the instant is approximately ______________ times the rate of change of the radius of the balloon. Answered by Penny Nom.
	Administration costs and profit		2011-04-05
		From brian: Hi , If I have direct job costs of $100. and my administration is 20 % and I want to make a 15 % profit , how would I calculate the administration and profit and what would be the total of each be and also the final total? Thanks, Brian Answered by Penny Nom.
	Two ships		2011-04-05
		From Gevork: Ship A is sailing due south at 16 mph. At the same time, a second ship B, 32 miles south of A, is sailing due east at 12 mph. (a) at what rate are they approaching or separating at the end of one hour? (b) At what rate are they approaching or separating at the end of two hours? (c) When do they cease to approach each other and how far apart are they at that instant. Answered by Penny Nom.
	The rate of change of the area of a parallelogram		2011-04-05
		From Gevork: Let a parallelogram have sides of 8 and 12 and let vertex angle A be decreasing at a rate of 2degrees per minute. Find the rate of change of the area of the parallelogram when angle A equals 30 degrees. Answered by Penny Nom.
	Converting millimeters to centimeters		2011-04-04
		From Pat: I need to convert 67 mm to centimeters how do I do this? Answered by Penny Nom.
	The perimeter of a rectangle		2011-04-04
		From aspen: the perimeter of a rectangle is twice the sum of its length and its width. the perimeter is 40 meters and its length is 2 meters more then twice its width. what is the length? Answered by Penny Nom.
	Tennis schedule		2011-04-04
		From Toni: I need to create a doubles tennis schedule for 6 players playing over a 32 week schedule where no player repeats with a partner. Answered by Victoria West.
	Volume of concrete		2011-04-03
		From john: I have 1200 square foot that i need to fill at 4 inches deep. how many cubic yards of concrete will i need? and how do I figure this? Answered by Penny Nom.
	3% commission		2011-04-01
		From bertha: A real estate broker’s base annual salary is $18,000. She earns 3% commission on total sales. How much must she sell in real estate value during the year to earn $65,000? Set up an equation and solve. Show all work to receive full credit. Round final answer to the nearest dollar. Answered by Penny Nom.
	Designing a tin can		2011-03-31
		From Tina: A tin can is to have a given capacity. Find the ratio of the height to diameter if the amount of tin ( total surface area) is a minimum. Answered by Penny Nom.
	The rectangle is reduced to 90% of its original size		2011-03-31
		From stephon: A rectangle has a length of 4cm and a width of 8cm. If this rectangle is reduced to 90% of its original size what will be the new length Answered by Penny Nom.
	[(90+36-4) ÷ 2] x 15 =		2011-03-30
		From ken: [(90+36-4) ÷ 2] x 15 = Answered by Penny Nom.
	A transversal		2011-03-30
		From Jillian: I don't understand finding angels in a transversal Answered by Penny Nom.
	sin x = -0.25		2011-03-29
		From Wayne: How do you solve for x in the equation sin x = -0.25 the answer is 3.394 and 6.030 but I don't know the steps they used to calculate this Answered by Penny Nom.
	A circle in a square in a circle in a square		2011-03-29
		From George: A circle within a square which is inside a larger circle which is also within a square. (a circle in a square inside a circle in a square) Equation of the smaller circle is: x ^ 2 x y ^ 2 = 25. What are the dimensions of the larger square? Been 40 years, trying to help my son. Answered by Penny Nom.
	Two boats		2011-03-29
		From Mamie: Two speed boats leave the port of San Francisco traveling in opposite directions at the same time.One boat travels 8 knots per hour faster than the other.After one day's travel they are 1,920 nautical miles apart.What are the speeds of the two boats. Answered by Penny Nom.
	I need to make $1000 profit		2011-03-28
		From Kat: I need to make $1000 profit selling plants for $3 each. My direct cost is $2 per plant and my overhead is $5oo. How many pots (plants = 1 per pot) do I need to make $1000? Answered by Penny Nom.
	New Brunswick hst		2011-03-25
		From andy: what is the short formula to get the hst 13% out of the total price of an item Answered by Penny Nom.
	A geometry problem		2011-03-25
		From eujane: in triangle ABC in which AB=12,BC=18,&Ac=25, a semicircle is drawn so that its diameter lies on AC and so that it is tangent to AB and BC.if O is the center of the circle, find the measure of OA.9 Answered by Chris Fisher.
	Linear inequalities		2011-03-25
		From Alice: OK. I'm in algebra 1 and the linear inequality is y<2x-1 y>2 I don't completely know how to graph y>2 and I'm getting really frustrated Please help me in any way possible! Thank You! Answered by Penny Nom.
	A stone is dropped into a lake		2011-03-24
		From AnneMarie: A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 25 cm/s. Find the rate at which the area within the circle is increasing after 4s. Answered by Penny Nom.
	Write 3 1/5 in decimal form		2011-03-24
		From Stephenie: converting fractions???? 3 1/5 into decimal??? Answered by Penny Nom.
	The number of points on a line is equivalent to that of a surface		2011-03-24
		From Gary: I I was reading about how the number of points on a line is equivalent to that of a surface. This was done by taking any point on a line then taking alternating digits and making them as points on an x and y axis therefore points on a surface.The problem is as i see it if you just take a line then hold it over a surface you have just put the points on the line in a one to one correspondence with the points directly under it on the surface.Now you have all the rest of the surface which cannot be mapped onto the line since it is already used up.What am i missing? Answered by Penny Nom.
	A true or false trig question		2011-03-24
		From Abeth: True or False: Since cot (theta) = cos (theta)/sin (theta), if cot (theta) = 1/2, then cos (theta) =1 and sin (theta)=2. My answer before was true, but not my answer is false. Can you give me a solution on this matter. thanks. Answered by Penny Nom.
	If 25 items are evenly spread over 7 days		2011-03-23
		From michael: What is the formula to calculate: If 25 items are evenly spread over 7 days, but one day has 3 items less than the other days, what is the number if items for each of the remaining 6 days? Answered by Penny Nom.
	What is x to the power of 0?		2011-03-23
		From Jason: What is x to the power of 0? Answered by Robert Dawson.
	What does 163,100,000 look written in words?		2011-03-22
		From Alicia: What does 163,100,000 look written in words? Answered by Penny Nom.
	Find his income on the fourth week of August.		2011-03-22
		From Abeth: The average weekly income of MJ for the first three weeks of August was 3,600 and his average weekly income for four weeks is 3950. Find his income on the fourth week of August. Answered by Penny Nom.
	A 15% increase		2011-03-22
		From Abeth: Bobby dela Cruz is the purchasing agent for school supplies of a certain university. Because of new research projects, Bobby ordered an additional 32,500 worth of supplies this month. This is a 15% increase from last month. What was the value of the school supplies that Bobby ordered last month? Answered by Robert Dawson.
	Tony and his friends		2011-03-21
		From Mieke: Using the following statements and the information given, how much money did each friend have. Mike says, "I have $41.00 more than Tony." Jessica says, "I have 6 times as much as Tony plus $2.00." Ashley says, "I have 13 times the amount Tony has." Sara says, "I have the 8 times the amount Tony has." The total together they had was $304.00 Answered by Penny Nom.
	8 3/8 - 6 1/4		2011-03-21
		From lenora: explain an error pattern in each of the following. 8 3/8 - 6 1/4 = 2 2/4 Answered by Penny Nom.
	Ordering fractions		2011-03-20
		From Yasmine: what's the answer, greatest to least 3/8 1/4 2/3 Answered by Penny Nom.
	A verbal problem		2011-03-20
		From tom: mrs. jhonson planned to spend $78 for fabric to make draperies. She found her fabric on sale at 20% less per yard than she expected and was able to buy her drapery fabric plus 4 extra yards for bedspread for $83.20. how much fabric had she planned to buy and what was the original cost per yard? Answered by Stephen La Rocque.
	pi + pi		2011-03-20
		From Sarah: what is pi + pi? Answered by Penny Nom.
	Sample Standard deviation		2011-03-16
		From Iris: Help please: me on this type of math problem I can get through step one after that I get lost. Maybe you can explain it to me in a easier way to get the correct results. I have read the examples, but I am still lost cannot move on until the next practice until I get this one Sample standard deviation The following are distances (in miles) traveled to the workplace by employees of a certain computer company. 15,29,32 28 18 28 Find the standard deviation of this sample of distances. Round your answer to at least two decimal places. Answered by Penny Nom.
	(3x+4y)^2 - (2x-y)^2		2011-03-16
		From Taiwo: pls could some one help me with this question? thanks as lot factorize: (3x+4y)^2 - (2x-y)^2 Answered by Penny Nom.
	6(M-1/9)=55/12		2011-03-15
		From Colleen: 6(M-1/9)=55/12 Answered by Penny Nom.
	How much per ft. does it cost?		2011-03-14
		From Linda: 350 lbs. of coil at $1.80 per lb equals $630. each coil is 780 ft. how much per ft. does it cost? Answered by Penny Nom.
	The markup rate is 40% of the cost		2011-03-14
		From Abeth: A wallet sells for 450 pesos. the markup rate is 40% of the cost. find the cost of the wallet and markup. Answered by Penny Nom.
	A cubic inch		2011-03-13
		From wyatt: what is a cubic inch? Answered by Penny Nom.
	Four coins		2011-03-11
		From Nestor: exact amount: philip has a quarter, a dime, a nickel, and a penny. for how many different prices could he give the exact amount? Answered by Penny Nom.
	The mass of a metal box		2011-03-11
		From Pamela: A metal block has the dimensions of 3.16 inches wide, 2.15 inches high, 4.98 inches long. What is the volume of the block in cm^3? What is the block's mass if the metal has a density of 5.89g/cm^3. Answered by Robert Dawson.
	Three consecutive odd numbers		2011-03-11
		From George: Write an equation three consecutive odd numbers whose sum is 75 Answered by Penny Nom.
	Regular and irregular polygons		2011-03-10
		From thaera: the difference between regular shape and irregular shapes. Answered by Penny Nom.
	Working backwards		2011-03-10
		From Kevin: Duwayne wrote a two -digit number.He multiplied it by 3,added 18, and divided by 8.His final answer was 9.What number did Duwayne write Answered by Penny Nom.
	The interior angles of a pentagon		2011-03-10
		From Daima: I need help! The interior angle of a pentagon i s5 ( I hope ) or 540 degrees. The interior angle of a pentagon is what? Explain to me please. Daima Answered by Penny Nom.
	Fencing a park		2011-03-07
		From taniel: Find the number of feet of fence needed to fence a park that is 1 3/8 mi long and 5/8 wide. Answered by Penny Nom.
	Average speed		2011-03-07
		From West: Calculate the distance (in km) that Larry runs if he maintains an average speed of 8km/hr for 45 minutes Answered by Penny Nom.
	40% margin		2011-03-07
		From Blake: An item costs a store owner $1.79 and he wants to make a 40% margin on the item. What should the item be sold at in order to get the 40% margin? Answered by Penny Nom.
	6 faces and 8 corners		2011-03-04
		From noemi: jeff made a figure with 6 faces the figure has 8 corners all of the faces are the same size and shape what figure did jeff make Answered by Penny Nom.
	Vertices and sides of a polygon		2011-03-04
		From RINA: My questions is : would a vertices and sides of a polygon be the same number.  For example, a octagon it has 8 points and 8 sides. Am i correct? Answered by Robert Dawson.
	Factor 10x^2+17x-6		2011-03-03
		From Jeff: Factor 10x^2+17x-6 with steps and explanation. Answered by Penny Nom.
	ln(12 x) = 6		2011-03-03
		From Carolyn: solve the equation ln12x = 6 Thank you Carolyn Answered by Penny Nom.
	A family of circles		2011-03-01
		From steffi: Find the equation of the family of the circle passing through the the point of intersection of x^2+ y^2 -4x-28=0 and x^2 +y^2 -4x-20+52=0; the member tangent to x=7. Answered by Penny Nom.
	A two digit number		2011-03-01
		From jhoanna: the sum of the digits of a two digit number is 10. The value of the number is 16 times the units digit.Find the number. Answered by Penny Nom.
	Ordering fractions		2011-03-01
		From amanda: I am utterly confused my son needs to order 3 different fractions from least to greatest such as 3/6, 5/6 & 4/6 I read your explanation on how to do it but I was still confused is there a more simpler method? Answered by Robert Dawson.
	Find the dimension of the original rectangle		2011-02-28
		From sandra: the perimeter of a rectangle is 40 cm. if the length were doubled and the width halved, the perimeter would be increased by 16cm. Find the dimension of the original rectangle Answered by Robert Dawson.
	A region bounded by a chord and an arc		2011-02-28
		From Gene: find the area of a segment bounded by a chord and a 45 degree arc of a 36" circle Answered by Robert Dawson.
	Converting base 3 to 5		2011-02-28
		From Harry: Hey Math Central, I came across your website and im in need of help on my maths c assignment. I have to convert base 3 to 5 without converting back to ten. I heard that you can use patterns in 3 and 5 to make an equation but im not sure how to and i also heard you can use logarithms but i dont know how to use those so im kinda stumped. Answered by Robert Dawson.
	A camera's line of sight		2011-02-26
		From MJ: A rocket that is rising vertically is being tracked by a ground level camera located 3 mi from the point of blast off when the rocket is 2 mi high its speed is 400mph At what rate is the (acute) angle between the horizontal and the camera's line of sight changing Answered by Penny Nom.
	At what rate is the grain pouring from the chute?		2011-02-26
		From MJ: Suppose that grain pouring from a chute forms a conical heap in such a way that the height is always 2/3 the radius of the base. At the moment when the conical heap is 3 m high, its height is rising at the rate of 1/2 m/min. At what rate (in m^3/min) is the grain pouring from the chute? Answered by Penny Nom.
	A word problem		2011-02-26
		From Barb: there are five times as many children as adult at a playground. There are 60 people on the playground. write an algebra equation that represents this situation. Be sure to define your variables.(start with statement "Let X= ___") Answered by Penny Nom.
	A circle is inscribed inside an isosceles trapezoid		2011-02-25
		From priyam: a circle is inscribed inside an isosceles trapezoid (with parallel sides of length 18 cm and 32 cm) touching all its four sides. find the diameter of the circle. thanks for help!! Answered by Penny Nom.
	20 acres, 12 inches deep		2011-02-24
		From David: How many linear yards of material is needed for a square plot of 20 acres by 12 inches deep? Answered by Penny Nom.
	Slicing a rectangular parallelepiped		2011-02-23
		From tom: a) Pass a plane containing a vertex of a rectangular parallelepiped and a diagonal of a face not containing that vertex to cut a pyramid from the parallelepiped. What fraction of the volume of the parallelepiped is the volume of the pyramid thus cut off? b)Pass a plane through a cube of edge 8 in so that the section formed will be a regular hexagon. Through each side of the hexagon pass two planes, one plane containing one of the two vertices of the cube which are farthest away from the plane of the hexagon, the other plane containing the diagonally opposite vertex of the cube. Find the volume of the solid bounded by these planes. c)three of the edges of a rectangular parallelepiped that meet in a point are also the lateral edges of a pyramid. What fraction of the parallelepiped is this pyramid...? you know the my only problem is how to illustrate this one...if only i could ...can you help me....all I need is the drawing and I can do the rest ..it's fine if you'll only answer any of these but I'll be thankful if you will do the three :).... Answered by Penny Nom.
	6685 is 67.5% of the total number		2011-02-22
		From Donna: I know 6685 is 67.5%. How do I calculate the total number. Answered by Penny Nom.
	Cutting the top off a conical tent		2011-02-22
		From tom: how far from the top must you cut a conical tent in order to cut the cloth in half... Answered by Penny Nom.
	Triangles with perimeter 16 cm		2011-02-22
		From Chong: How many triangles (up yo congruence) with perimeter 16 cm and whose lengths of its side are integers? Answered by Chris Fisher.
	How much gravel do I need to make it level?		2011-02-22
		From Robert: I have an area that is 55 feet long x 75 feet wide and goes from 0 to 13 inches deep. How much gravel do I need to make it level? Answered by Penny Nom.
	An acre divided into lots		2011-02-18
		From charlie: If you have a square acre an divide it up in 2 foot by 3 foot lots how many lots would there be Answered by Stephen La Rocque and Penny Nom.
	Making a truncated cone		2011-02-18
		From lisa: We need to make a cone that has the following dimensions. 14-3/8" diameter on large end 13-3/8" diameter on small end 4" tall What are the dimensions I need to cut in order to make a cone with one seam? Answered by Stephen La Rocque.
	Tom has 12 times as much money as Bill		2011-02-18
		From Chris: Tom has 12 times as much money than Bill. Together they have $325 dollars. How much does each boy have? Answered by Stephen La Rocque.
	An imaginary infinite geometric tree		2011-02-18
		From Elise: An imaginary infinite geometric tree grows 1m the first day. 2nd day 2 branches and right angles to each other and each 0.5 m long. 3rd day two new branches at ends of each of previous days' 2 branches, again at right angles, and only .25m long each. And so on, infinitely. Q: Use relationships of right-angled triangles and high school level knowledge of geometric series to show the tree height is limited to (4 + sqrt2)/3 m and width to (2(sqrt2 + 1))/3 m. Answered by Robert Dawson.
	Two conical tanks		2011-02-17
		From rustom: Two vertical conical tanks (both inverted) have their vertices connected by a short horizontal pipe. One tank, initially full of water, has an altitude of 6 ft. and a diameter of base 7 ft. The other tank, initially empty, has an altitude of 9 ft., and a diameter of base 8 ft. If the water is allowed to flow through the connecting pipe, find the level to which the water will ultimately rise in the empty tank (Neglect the water in the pipe.) Answered by Penny Nom.
	The diagonals of a parallelogram		2011-02-17
		From ginger: Find the diagonals of parallelogram where the the side is 40 and the bottom side is 15. Answered by Penny Nom.
	Points on a graph		2011-02-15
		From Maggie: Which set of ordered pairs can be used to graph y = -2x-1. A.(-5,9),(1,-3),(4,9) B. (-2,-5),(1,-1),(5,9) C.(-2,-5),(0,-1),(4,-3) D. (-5,9),(-2,3),(4,-9) I cannot figure it out. Could you help me? Answered by Penny Nom.
	Prove sin x = sin (pi - x)		2011-02-15
		From Janet: Prove sin x = sin (pi - x) Answered by Penny Nom.
	(1-1/2)(2-2/3)(3-3/4)...(15-15/16)=n!/16		2011-02-15
		From Fiona: Could you help me find the value of n: (1-1/2)(2-2/3)(3-3/4)...(15-15/16)=n!/16 Answered by Penny Nom.
	What is the 6001st digit that Sam wrote?		2011-02-15
		From Sarah: Sam wrote the natural numbers from 1 to 5280 in order. What is the 6001st digit that Sam wrote? Answered by Penny Nom.
	Factoring with fractions		2011-02-15
		From Megan: Hi there, I'm working on factoring polynomials but this question has me quite puzzled.. im a college student in my first year. (x^2-a^2/xy)(xy/x+a) Answered by Penny Nom.
	The equation of a circle		2011-02-14
		From Cristela: find the equation and all the information in General Form and Standard Form of the Circle that will passed trough the point (2,3) (6,1) (4,-3) Answered by Stephen La Rocque.
	1/0 and 2/0		2011-02-11
		From Dixit: How are the infinite number obtained by dividing 1 / 0 and 2 / 0 are different? Answered by Penny Nom.
	The equation of a sphere		2011-02-09
		From kelly: what is the equation of a sphere if one of it's diameters has a giving end point of (4,4,4), (8,8,8)? Answered by Penny Nom.
	An irregular hexagon		2011-02-09
		From Emma: Hello, I have math question about how to find the area of an irregular hexagon. It is shaped like a backwards L and the side lengths are as follows 11cm 8cm 5cm 5cm 6 cm 3cm Can you please help me find the area of this? Emma Answered by Penny Nom.
	Two tangent circles		2011-02-09
		From xhesika(jessica): Two circles of radius 10 are tangent to each other.A tangent is drawn from the centre of one of the circles to the second circle.To the nearest integer find the area of the shaded region. Answered by Penny Nom.
	Throwing a football		2011-02-08
		From Janet: a football is thrown into the air from 2 meters high. After 1 second it is 6.9 meters high. After another second it is 2 meters high. How high is it after 1.02 seconds and .05 seconds? when will it reach 5.136 meters? I am not sure how to extract the numbers I need and what equations to use them in? Answered by Stephen La Rocque.
	Reversing the digits		2011-02-08
		From rejie: if the digits are reverse , the number is 9 less than the original number.what is the equation? Answered by Penny Nom.
	A pattern is built with cubes.		2011-02-08
		From e: A pattern is built with cubes. The first item is 1 cube. The second item is a block of 8 cubes. The third item is a block of 27 cubes. If the pattern is continued, how many cubes are needed for the fourth and fifth? Answered by Penny Nom.
	Rearrange for x		2011-02-06
		From sue: (x+7)/3 = (3xy+2x)/4 rearrange for x Answered by Penny Nom.
	A tangent to a circle		2011-02-06
		From debz: what is the formulae of the tangent to a circle.... our teacher gave us a lot of homework.. and she ask us to find the formulae by ourselves.. Answered by Penny Nom.
	I have nine players, three rounds of golf		2011-02-05
		From Pat: My problem is I have nine players three rounds of golf, please could you give me the best formula so that no two players play twice together Answered by Victoria West.
	What is the height of the building?		2011-02-05
		From Myra: The angle of elevation is 45 degrees. The distance from George's foot to the top of the building is 50m. What is the height of the building? Answered by Penny Nom.
	Calibrating a conical tank		2011-02-05
		From Bill: Hi, I have a round tank with tapered sides where I know the diameter at the top and bottom. Is there a formula I can use to calculate the volume by measuring from the bottom up the side (at the angle of the side) to any given point? Thanks, Bill Answered by Stephen La Rocque and Penny Nom.
	Daily life example of logarithms		2011-02-04
		From owais: what are the application or daily life example of logarithms? Answered by Harley Weston.
	The nearest one and a half and the nearest inch		2011-02-02
		From Miranda: REASON:sarah gave the same answer when asked to round 4 seven eighth inches to the nearest one and a half and the nearest inch. explain why sarah is correct? Answered by Penny Nom.
	A cone with a specific angle		2011-02-01
		From John: Hi my daughter came with a seemingly easy question (which to me it was not) How to make/calculate a cone of a specific angle from top to bottom radius. Answered by Penny Nom.
	1 and four eights inches		2011-02-01
		From Miranda: WRITING TO EXPLAIN:If a line is measured as 1 and four eighth inches long,explain how you could simplify the measurement? Answered by Penny Nom.
	An even multiple of 27		2011-02-01
		From parth: the 6 digit # 63x904 is an even multiple of 27 what is X Answered by Penny Nom.
	A fence around a water tank		2011-02-01
		From Heath: I am building a fence around a water tank. the fence is to be in the shape of a normal octagon. The tank has a circumference of 57 ' 6''. I would like the fence to be 3 ft from the tank at the skinny point . How would I calculate(for the simple guy) where to set each of my 4x4 posts at the 8 corners. Any help would be greatly appreciated. Answered by Harley Weston.
	Three consecutive numbers		2011-01-31
		From parth: name 3 consecutive numbers,each less then a 100,the smallest # is divisible by 6 the next is divisibel by 5 and the largest divisible by 4 Answered by Penny Nom.
	22 people playing 6 rounds of golf		2011-01-31
		From angi: I'm having a problem scheduling matches for a golf vacation. We have 22 people playing 6 rounds of golf. We know that we will need to have two 3 man pairings each day. Is there a way to make sure that is not a great deal of duplication. I did see how Penny answered a question in 2005 with the circles. Is there a way mathematically to do this or through excel? Answered by Victoria West.
	The area of a rectangle		2011-01-31
		From T.S.: for which value of w does the rectangle below have an area of 864 square units if sides are width=w+15 and length=w-15 Answered by Penny Nom.
	A mixed number		2011-01-30
		From Joyce: express the fraction as a mixed or whole number 94/5 Answered by Penny Nom.
	A player runs from second base to third base		2011-01-30
		From Marie: A baseball diamond is a square with side 90 feet in length. A player runs from second base to third base at a rate of 18 ft/sec. At what rate is the area of the trapezoidal region, formed by line segments A, B, C, and D changing when D is 22.5 Distance A is the players distance from first base when running from 2nd to third. Distance D is his distance from 3rd base. Distance C is the distance from 3rd to 3rd to Home. Distance B is the distance from Home to First. I have found dA/dt in a previous problem. Answered by Penny Nom.
	The perimeter of a semicircle		2011-01-29
		From Keith: I have the perimeter of a semi circle of 37 but how do I calculate the diameter from this. This is all the information I have. Answered by Penny Nom.
	(7cubed * 8(exponent6))exponent 6		2011-01-29
		From Shalaine: What is the exponential form of (7cubed•8(exponent6))exponent 6? Answered by Penny Nom.
	The sides of an equilateral triangle		2011-01-27
		From Cristal: Hello :) How can i find the sides of an equilateral triangle when only given the height 10m? Answered by Penny Nom.
	Scale factor		2011-01-25
		From Mackenzie: hi my problem is: a man that is 6 feet tall in real life and only .5 inches in a = photograph. what is the scale factor and scale of the photograph? another: a girl in the same photograph is 4.8 feet tall. How tall is she in the = picture?= Answered by Chris Fisher.
	The area of isosceles triangle		2011-01-24
		From imraan: how to find the area of isosceles triangle by knowing only its sides Answered by Penny Nom.
	16 golfers		2011-01-22
		From Jack: I am responsible for setting up groups for 16 golfers for 7 days, is there a formula to calculate playing partners so that everyone gets to play with each person? Answered by Victoria West.
	Multiplication and order		2011-01-21
		From Janet: IN A MULTIPLICATION SENTENCE BASED ON A DRAWING..IS THERE ANY ORDER FOR THE MULTIPLICAND ANG MULTIPLIER FOR THE ANSWER TO RIGHT? Answered by Robert Dawson.
	Four digits are to be randomly selected		2011-01-20
		From sarahbear: Suppose four digits are to be randomly selected (repetitions allowed) Find the probability that A. 5562 is selected B.0000 is selected C. All four digits are the same D. 2 is the first digit selected Answered by Penny Nom.
	Mathematics and a musical dilemma		2011-01-19
		From rahul: how is mathematics applied in entertainment? Answered by Harley Weston.
	The sequence 2,3,5,5,8,7,11		2011-01-19
		From taylor: number relationship in number sequence 2,3,5,5,8,7,11 Answered by Chris Fisher and Penny Nom.
	1/a^2 + 1/b^2		2011-01-19
		From robert: If (a + b)^2 = 81 and ab = 18, find the value of 1/a^2 + 1/b^2 ? Answered by Penny Nom.
	Points with distance 5 from the point (-2, -1)		2011-01-19
		From Alexa: Find all points having a x-coordinate of 2 whose distance from the point (-2, -1) is 5. Answered by Penny Nom.
	The diameter of a cylinder		2011-01-18
		From Gayle: Given a cylindrical container that holds 45 imp. gallons and is 42 inches high, find the diameter Answered by Penny Nom.
	Flipping a cone over		2011-01-17
		From Fionna: The height of your cone is "x". Holding the cone so that the vertex is at the bottom, fill it half full with water. The depth of the water is "1/2x". Put a lid over the top, and flip it over. What is the new depth of the water, now that the cone is flipped? Answered by Penny Nom.
	Profit as a percentage		2011-01-17
		From Connie: I am trying to determine the profit margin on selected items. ex: A bottle of juice costs me $.70, I sell it at $3.75. How can I determine what my profit percentage is? Answered by Penny Nom.
	A rectangle		2011-01-16
		From meg: if a rectangle has a length that is 3cm less than 4 times its width and its perimeter is 19cm, what are the dimension? Answered by Penny Nom.
	The greatest value of 5 – | x – 3|		2011-01-16
		From pranav: What is the greatest value of 5 – | x – 3 | for any integral value of x. --< br /> PRANAVM Answered by Penny Nom.
	A cylindrical tank		2011-01-16
		From tom: A cylindrical tank, 1 ft in diameter, length 6 ft , is placed so that its axis is horizontal. How many pounds of water will be used in filling it to a depth of 9in. , if water weighs 62.4 lbs. per cu. ft.? Answered by Penny Nom.
	16 golfers		2011-01-16
		From Kenneth: Our group will play 12 rounds. We are 16 golfers. How can I schedule 12 days of differing foursomes limiting repeats in the foursomes Answered by Victoria West.
	tanθ=1.192		2011-01-15
		From Adori: Use a calculator to approximate two values of the θ (0 ≤θ≤2π) that satisfy the equation. a) tanθ=1.192 I do not understand how to find the second value of θ. Answered by Harley Weston.
	2x = 2+2x		2011-01-15
		From james: 2x=2+2x can you help me find what x epauls? Answered by Penny Nom.
	Matt is thinking of two numbers		2011-01-14
		From mary: Matt is thinking of two numbers. One number is 9 more than the other number. The sum of the numbers is 45. What are the numbers? Answered by Penny Nom.
	Integrating ln^3x/x		2011-01-14
		From ken: y=ln^3x/x from x=1 to x=11 Answered by Penny Nom.
	The volume of a smokestack		2011-01-13
		From tom: The outer protective smokestack of a steamship is streamlined so that it has uniform oval section parallel to the deck. The area of this oval section is 48 sq. ft . If the length of the stack is 15 ft. and the stack is raked aft so that its axis at its upper end is horizontally 4.2 ft from the lower end, find the volume enclosed by the stack. Answered by Penny Nom.
	The height of a lamp		2011-01-13
		From Dorothy: I need to find the lamp height with casting shadow (base line of triangle where a boy 1.6m tall stands 3m from base of street lamp and has a 2m shadow. In other words, think of a right angle triangle with zero height starting at left, then 2m to right stands boy (1.6m high). Angle (hypotenuse) increases up to top of street lamp with 'x' height and 3m base. Answered by Penny Nom.
	What is next in the sequence?		2011-01-13
		From jodi: what is next in the sequence 1, 1/4, 1/9, 1/16, 1/25 Answered by Penny Nom.
	The angle between a line and a plane		2011-01-12
		From tom: what are the angles of the diagonal of a rectangular parallelepiped 2in by 3 in by 4 in makes with the faces... You know this is a problem that I can't figure out ...I don't know where the angle and the diagonals where? can you help me with this one? Answered by Penny Nom.
	Is this a permutation or a combination?		2011-01-11
		From Lamont: If I have 10 marbles: 3 blue, 2 yellow, 1 purple, and 4 red How many ways can I pull out 3 different sets of marbles? Is this a permutation or a combination? Answered by Penny Nom.
	The weight of a tank		2011-01-11
		From tom: A tank, open at the top is made up of thin sheet iron 1in. thick. The internal dimensions of the tank are 4 ft. 8in. in long ;3 ft. 6 in.in wide ;4ft 4 in. in deep Find the weight of the tank when empty, and find the weight when full of salt water. (Salt water weighs 64 lbs. per cu. ft., and iron is 7.2 times as heavy as salt water) Answered by Harley Weston.
	Identify each polynomial by its degree and number of terms		2011-01-10
		From betty: Write in standard form and identify each polynomial by its degree and number of terms. How do you do this? Answered by Penny Nom.
	Set notation		2011-01-10
		From Ron: The question asked in a handout: 8k - 5 < 35, keI I believe the answer to k is 5. But what does the k e(E) I mean in this? Answered by Harley Weston.
	Semicircles and the Pythagorean Theorem		2011-01-09
		From Jas: Okay well, in math we are learning about the pythagorean theorem and we have to do a math journal on the question: ****Can you replace the squares (that are put on the sides of a right triangle) with semicircles and still get the same answer?? I do not understand because i tried doing an example and comparing it with a normal way of doing it and I didnt get the same answer! Answered by Penny Nom.
	Tiling a swimming pool		2011-01-09
		From rustom: (a) Find the volume of water in swimming pool with vertical ends and sides . The length measured at the water line is 50 ft. and the breadth is 20 ft. The bottom of the swimming pool is a plane sloping gradually downward so that the depth of the water at one end is 4 ft. and 8ft. at the other end. (b) If the sides, ends, and bottom of the swimming pool are constructed of tile blocks whose glaze surface dimensions are 3in by 6in. , and if the ends and sides of the pool extend 2ft.above the water level, find the number of blocks used if 1/20 of the surface area is covered by sealing material. I got the (a) question but I don't know the (b) question which have the answer of 16,136 blocks. I hope I can get the procedure for this, THANK YOU! Answered by Penny Nom.
	Tan(x+pi)-tan(pi-x)=2tan(x).		2011-01-09
		From Steven: Verify the identity: Tan(x+pi)-tan(pi-x)=2tan(x) Answered by Penny Nom.
	10 golfer playing 5 rounds		2011-01-09
		From Jeff: need pairing for 10 golfer playing 5 rounds of golf. Answered by Victoria West.
	A 400 gallon oil tank		2011-01-08
		From theresa: we have a oil tank that holds 400 gallons of oil currently there is 11/16 volume in the tank how many gallons are there? Answered by Harley Weston.
	A sector of a circle		2011-01-07
		From Alice: the radius of a circle is 7cm the angle of the sector is 68 how do you find the Answered by Penny Nom.
	What is its speed in miles per hour?		2011-01-06
		From Miriam: An airliner travels 125miles in 15minutes. What is its speed in miles per hour? Answered by Penny Nom.
	Rondo the snail		2011-01-05
		From Kristen: He trained his snail, Rondo, to crawl around a 6 x 8 rectangle. Rondo stayed exactly 3 cm from teh rectangle at all times. What is the total area that Rondo surrounded with his slime trail? Answered by Penny Nom.
	A golf holiday		2011-01-04
		From Andy: You kindly responded to a question I previously sent with regard to a Golf Holiday and I wonder if I might ask another question please. There are now 7 players playing 5 rounds of golf and I wonder if it is possible to devise a schedule where everyone plays with each other a minimum of two times i.e. they will play twice with some and three times with others. As always, many thanks for your kind assistance. Answered by Victoria West.
	Line segments		2011-01-04
		From Izsak: What is the formula to find the number of segments that can be named by a given number of points on a line? Answered by Penny Nom.
	If ac = bc ...		2011-01-04
		From jamielle: if ac=bc, then a is not equal to b, c is not equal to zero Answered by Penny Nom.
	The intercept form		2011-01-04
		From sussie: How do you find the intercept form of y=X^2-2x-3? Answered by Penny Nom.
	A tangent line		2011-01-03
		From Amanda: Question from Amanda, a student: an equation of the line tangent to y=x^3+3x^2+2 at its point of inflection is (A) y=-6x-6 (B) y= -3x+1 (C) y= 2x+10 (D) y=3x-1 (E) y=4x+1 Answered by Penny Nom.
	Exponential form		2011-01-02
		From jumana: find any five examples of exponential form from real life situation Answered by Penny Nom.
	A circle inside a square		2010-12-31
		From Jenn: A circle of a diameter of 2 is drawn inside a square of 4. The circle's center is at the center of the square. To the nearest tenth, what is the perimeter of the area of the square, not including the circle inside. Answered by Penny Nom.
	A truncated cone		2010-12-31
		From jagjeet: dear suppose i have cone of 50cm radius at base and 100cm radius at top at a height of 80cm. now keeping base radius of 50cm and height of 80cm i want to increase top radius to 150cm how will i do that. plz height m talking abt is vertical height not slant height Answered by Penny Nom.
	The third side of a triangle		2010-12-28
		From andrea: in triangle abc, a-b=5 and the area is 50cm2.If angle c- 90degrees, find the length of c. Answered by Penny Nom.
	A polynomial remainder		2010-12-25
		From Asterdine: When a polynomial f(x) is divided by x+1 and x+2, the remainders are 3 and 7 respectively. Find the remainder when f(x) is divided by (x+2)(x+1). Answered by Penny Nom.
	Economic data		2010-12-24
		From Le: I'm student in economics. I have to read some research of test of financial model (test of Black, 1972, Fama et McBeth, 1973, Fama et French, 1993, about the CAPM or APT model). And I really want to redo these tests with the same data to understand them better. But I don't know where and how I can have these data. I hope to have some recommendations from you. Thank you, Le Thi Bich Hanh Answered by Robert Dawson.
	The thermal expansion of steel		2010-12-20
		From roger: Knowing that the coefficient of thermal expansion of steel is 6.5E-06 in/in/deg F. How do you calculate the loads applied as a result of the expansion? Answered by Robert Dawson.
	An air duct in the form of a circular cylinder		2010-12-19
		From ed: an air duct in the form of a circular cylinder has a cross section if diameter 16 in. the distance between the bases is 20 ft and the elements are inclined at an angle of 50 degrees to the bases. find the amount of magnesia required to protect the duct with magnesia covering 1/2 in thick? tnx Answered by Stephen La Rocque.
	Profit as a percent		2010-12-19
		From gaurav: In the following, which calculation is right to calculate the profit percent. if profit is 20%- 100*1.2 = 120 if profit is 20%- 100/0.8 = 125? Answered by Penny Nom.
	Golf pairings		2010-12-17
		From AL: I have a golf tourney where we have fourteen players and are playing five times/rounds of golf. I am trying to pair up two threesomes and two foursomes so we don't play with the same person twice or the least amount of times. Answered by Victoria West.
	[sec^2x]*[sec^2x]		2010-12-16
		From Hari: [sec^2x]*[sec^2x]=...? Answered by Penny Nom.
	Draw a figure with 16 triangles using only 6 line segements		2010-12-16
		From Jill: How can you draw a figure with 16 triangles using only 6 line segements? Answered by Stephen La Rocque.
	The height of an iceberg		2010-12-16
		From Sharon: if an iceberg can be seen 10% or 70 meters above the water, what is the measurement in meters of the iceberg below the surface of the water? Answered by Robert Dawson and Penny Nom.
	How do I prove that the quadrilateral is a Rhombus?		2010-12-16
		From Matthew: Quadrilateral KLMN has vertices K(2,3), L(7,3), M(4,7) and N(-1,7). How do I prove that the quadrilateral is a Rhombus?? Answered by Robert Dawson and Penny Nom.
	The perimeter of a quarter circle		2010-12-15
		From kim: how do you figure the perimeter of a quarter circle that has a radius of 7 inches? I would like to have the explanation of how you figure it out. Thank you Answered by Penny Nom.
	A geometric progression		2010-12-15
		From Abeth: find the value of x so that 2(x-1), x+3, x will be a geometric progression. Answered by Penny Nom.
	The value after 30 years		2010-12-15
		From Abeth: At the end of every year, the owners of a building which costs 2, 500, 000 pesos deducts 15% from its carrying value as estimated at the beginning of the year. find the estimated value at the end of 30 years. Answered by Penny Nom.
	Area and volume of a parallelepiped		2010-12-14
		From ryan: Got a question, I'm really confused what the question mean and how the diagram would look like... someone please help... Here's the question. The base of a parallelepiped is a rectangle 4m by 6m. If its lateral edge is 8m and is inclined at an angle 45 degrees to a 6m edge of the base, find the total area and volume of its parallelepiped. My dilemma is what does it mean by the lateral edge of 8m is inclined at 45 degrees to a 6m edge of the base? Can someone post a diagram to help me solve the promble. Thanks in advance. Answered by Chris Fisher.
	Ordering fractions		2010-12-14
		From serita: 1/2,2/4,4/8 how do you do least to greatest Answered by Penny Nom.
	An inequality		2010-12-13
		From jimmy: 1.7b-1.1 <2.3 Answered by Stephen La Rocque.
	Angular speed		2010-12-12
		From Jason: 7 in. pulley traveling @ 175ft/sec. What is the rpm? Answered by Stephen La Rocque and Penny Nom.
	A railway cut		2010-12-12
		From jade: the pennsylvania railroad found it necessary,owing to land slides upon the roadbed,to reduce the angle of inclination of one bank of certain railway cut near pittsburgh,pa.,from an original angle of 45 degrees to a new angle of 30 degrees. the bank as it originally stood was 200 ft.long and had a slant length of 60 ft.. find the amount of the earth removed, if the top level of the bank remained unchanged. Answered by Penny Nom.
	Angle of elevation		2010-12-10
		From PANKAJ: angle of elevation of the sun perpendicular72 and base 88 find angle Answered by Penny Nom.
	The length is twice its breadth		2010-12-09
		From jenu: The length of the rectangular field is twice its breadth. A man jogged around it 5 times and covered a distance of 3 km. what is the length of the field? Answered by Penny Nom.
	80 miles in 40 minutes		2010-12-08
		From james: i travel 8o miles in 40 minutes. how fast am i going in mph Answered by Penny Nom.
	A rectangular solid		2010-12-08
		From ryan: Good day! Have a question on rectangular solids. We were asked to find the dimensions of a rectangular solid, we were only given the volume of the rectangular solid, the total area, and the altitude. I tried using the volume of the rectangular solid and was able to get the area of the base, but I don't know how to get its length and its width. Hope you could help me again. Thanks! Answered by Penny Nom.
	Sales as a function of advertising		2010-12-08
		From Adori: The sales S(in thousands if units) of a product after x hundred dollars is spent on advertising is given by S=10(1-e^kx). Find S as a function of x if 2500 units are sold when $500 is spent on advertising. Answered by Penny Nom.
	A water tank has the shape of a right circular cone		2010-12-07
		From mike: A water tank has the shape of a right circular cone with height 12 feet and radius 8 feet. Water is running into the tank so that the radius r (in feet) of the surface of the water is given by r=0.75t where t is the time (in minutes) that the water has been running. the volume V of the water is given by V=1/3 pi r^2h. Find V(t) and use it to determine the volume of the water when t=5 minutes. Answered by Penny Nom.
	A television camera at a basketball court		2010-12-06
		From ryan: Can you just please give me an idea on how the diagram would look like. I'm really confused. A television camera is 30 ft. from the sideline of a basketball court 94 ft long. The camera is located 7 ft from the midcourt. Through what angle must it sweep in order to cover all action on the court? Answered by Penny Nom.
	Simultaneous equations		2010-12-05
		From ryan: Question from ryan, a student: 3         4 --   -    --      =     1      (1) x         y 7       2             11 --   -  --        =   --       (2) x       y              12 Answered by Chris Fisher and Stephen La Rocque.
	The percent-day method		2010-12-04
		From Kenneth: I read about this method in an old business mathematics book and was curious about how it works to produce the correct answer. “Percent-day method is based on 360 days’ time and 1% interest. Any interest rate multiplied by any number of days is equal to so many %-days.” Example: 82 days at 5% equals 410%-days. Answered by Penny Nom.
	Fifty votes were cast in a class election		2010-12-03
		From nympha: Fifty votes were cast in class election, Beth got 1/5 of the votes. Helen got as many votes as Jane and Peter put it together. Peter got 1/3 as much votes as Jane. How much votes did each of the four candidates received? Answered by Stephen La Rocque.
	Angular speed		2010-12-03
		From Julie: If the angular speed of a circle is 360 degrees divided by the time it took to rotate, how do I calculate ones that have greater rotations than the amount of time? I mean, you calculate the angular speed of a merry-go-around that spins once every 5 seconds by doing 360degrees/5 sec, but how do you calculate a merry-go-around that has 16 rotations every 4 seconds? Answered by Penny Nom.
	Simplify the logarithmic expression		2010-12-02
		From Adori: Use the properties of logarithms to simplify the logarithmic expression. Log(1/250) base 5 Answered by Penny Nom.
	Two chords in a circle		2010-12-02
		From girma: one chord of a circle is 8cm long and it's distance from the center is 4cm long.what will be the length of another chord, of the same circle ,which is 2cm from the center Answered by Penny Nom.
	Find all the roots		2010-12-02
		From gagan: find all the roots of z^5-3z^4+2z^3+z^2-3z+2 Answered by Stephen La Rocque and Penny Nom.
	A normal distribution problem		2010-12-02
		From Racquel: I am stuck on this question. I am not sure if using the z score will help me get the answer I need. Here is the question? The average length of time per week that students at this university spend on homework is normally distributed with a mean of 18 hours and a standard deviation of 3 hours. If Diane spends more time on homework each week than 75% of students, what is the minimum time she must spend? Answered by Penny Nom.
	The height of the trapezoid		2010-12-01
		From Ryan: A trapezoid has an area of 10.5 cm squared and parallel sides that measure 5.0 cm and 2.0 cm what is the height of the trapezoid Answered by Penny Nom.
	How many gallons of water will it take to fill a classroom?		2010-12-01
		From deena: How many gallons of water will it take to fill a classroom that is 26 feet long by 19 feet wide and 9 feet high? How many tons of water will that be? Answered by Stephen La Rocque.
	Can determine if it is scalene, isosceles, or equilateral		2010-12-01
		From Jessie: find the measures of the sides of triangle KPL and classify each triangle by its sides. my first problem would be K(-3,2) P(2,1) L(-2,-3) ...The three points they give you are the vertices of the triangle and you need to match them up. Draw the triangle and write in the vertices and the related point with the vertex. You will then do the distance formula three times to find the distance of all three sides. Once you have the three sides you can determine if it is scalene, isosceles, or equilateral...using the distance formula how do i solve this? Answered by Penny Nom.
	I am confused by BEDMAS		2010-12-01
		From Steve: I am confused by BEDMAS in this question 100 / 2 x 3 + 1= I believe it to be 151 Am I correct? Answered by Harley Weston.
	Linear inequalities with absolute values		2010-12-01
		From ryan: Good day! We we're given this assignment in algebra concerning linear inequalities with absolute value. In this number I'm confused how to isolate the absolute value, considering there is a variable in the absolute value and there is a variable in the outside. 2+5 |4-3t|+t ≤ -3-4t Answered by Penny Nom.
	A rectangular piece of plywood		2010-11-30
		From Austin: A rectangular piece of plywood is trimmed to make it square by cutting a 4cm strip off the top and a 2cm strip off one side. If the area of the original piece is 74cm2 greater than the area of the square, find the dimensions of the rectangle. Answered by Penny Nom.
	6 rounds of golf		2010-11-29
		From Andy: I wonder if you are able to assist me with scheduling pairings for a forthcoming Golf Tournament ? There are 7 players and we will be playing 6 rounds - each round will be a 3 ball and a 4 ball. I am trying to work out a schedule that means everyone plays with each other roughly the same number of times. Also, we are looking to ensure everyone plays in roughly the same number of 3 and 4 balls. Any suggestions would be much appreciated - thank you. Answered by Chris Fisher.
	A punch-code lock box		2010-11-29
		From Doug: I am a real estate agent that uses punch-code lock boxes on houses to store the keys. I need to crack the code on one of our boxes, so I need a list of the possible combinations. Rules: 4 digit code Numbers 0-9 Each number can only be used once Order of the numbers does not matter. With advice from this site, I have calculated that there should be 210 possibilities. 10x9x8x7 (5040) gives me the total number possibilities and 4x3x2x1 (24) gives me the total number of ways to arrange those numbers. So if I divide the possibilities by the arrangement, I get 210. (5040 / 24 = 210) GREAT!!! Now, how do I develop a list of those 210 combinations? Thanks for your help. Answered by Robert Dawson.
	A binomial random variable		2010-11-29
		From yvette: a binomial random variable has a mean equal to 200 and standard deviation of 10. find the values of n and p. Answered by Penny Nom.
	A sector of a circle		2010-11-29
		From Mel: Find the area of a sector of a circle that has a central angle of 13pi/18 and a radius of 12cm. Round answer to nearest 10th degree Answered by Penny Nom.
	What is its speed in still air?		2010-11-28
		From Shelby: An Airplane flies a certain distance in 3 hours going WITH a 40km/hr wind. It travels the same distance in 5 hours when going against the wind. What is it's speed and how long would it take to travel the same distance in still air? Distance = speed x time Answered by Penny Nom.
	What is the 5% GST		2010-11-27
		From Louise: I am doing our business books and could you please tell me how to figure out how to calculate what the 5% GST would be on a total. Such as in example.....$78.79 total figure.....what would be the GST portion. How do you figure it out. ?? Thanks Answered by Stephen La Rocque.
	Hours minutes and seconds		2010-11-26
		From beket: I need to turn 1.486588292 into real time hours minutes and seconds. I keep getting multiple answers. Online conversions give me 1 hour 29 minutes and either 11 or 12 seconds. On the calculator I get 1 hour 29 minutes and 20 seconds. Can you explain how to turn this decimal into time? Answered by Robert Dawson and Penny Nom.
	t scores, z scores, standard scores and percentile ranks		2010-11-25
		From Imogen: I have an assignment that requires me to calculate the t scores, z scores, standard scores and percentile ranks of 3 children on a vocab task. I am struggling with how to calculate the correct T-scores for the children, my tutor has said that the sample has a mean of 50 and standard deviation of 10. So on a z- score of 2.0 (2 SD's from the mean) it would be 50 + 10+10 = T score of 70. However the Z- scores i have are not whole numbers so I am struggling with it, i have one that is 1.27 , another that is 0.47 and the last one is 0.80. If you could help me on how to calculate these to get T scores that would be great. Thanks. Answered by Robert Dawson.
	Sides and diagonals of a polygon		2010-11-25
		From nicky: The sum of sides of two polygons is 12 and the sum of their diagonals is 19. What kind of polygon are they? Answered by Penny Nom.
	A man made circular lake		2010-11-25
		From ailish: A man made circular lake has a diameter of 338 m. A bridge is to be constructed across the lake in such a way that it is 119 m away from the center of the lake. How long is the bridge? Answered by Penny Nom.
	The perimeter of a rectangle		2010-11-24
		From shericka: a rectangle has a perimeter of 60cm. its length is 5 times greater than its width. what is its length? Answered by Penny Nom.
	A remainder of 3		2010-11-24
		From khodr: find the smallest number (>3) that , when divided by 6 , 8 , 15 , and 18 , gives a remainder of 3 . Answered by Robert Dawson.
	Determine if a point is inside a cube		2010-11-24
		From Ali: hi every one i have a problem with cube they told me to write a program that determine if a point is inside a cube so i need the equation of the cube to do the comparison. in sphere it is easy sqrt((x-xp)+(y-yp)+(z-zp))<=radios if u please could help me Answered by Robert Dawson.
	How long will you and your friend be able to talk?		2010-11-23
		From beket: you and your friend leave your home town at the same time your friend travels by train 45 mph directly east while you travel by train 50 mph going directly south you are talking on cell phone but you plan charges extra if the phones are 100 miles apart. How long will you and your friend be able to talk before the charges increase? Answered by Penny Nom.
	Ordering mixed numbers		2010-11-23
		From kate: what are the mixed numbers 5 7/9, 5 1/2, 5 11/18. put least to greatest? Answered by Penny Nom.
	Two girls agree to mow a lawn		2010-11-23
		From Milorad: Two girls agree to mow a lawn 60m by 80m so that the first girl cuts one half by cutting a uniform strip around the lawn. How wide a strip should the first girl cut? I've been struggling with the question above, mainly with the equation and I have set it up as 2400=(60-2x)(80-2x), if this is incorrect I would like to know where I've gone wrong and also would like a full answer to see it properly done. I need an algebraic answer and not one with a diagram. Answered by Penny Nom.
	The rate of change of (8e^3x)+(27 e^-3x)		2010-11-23
		From Aleo: I am unable to solve this problem: Find the rate of change of (8e^3x)+(27 e^-3x), with respect to x when x= 0.5 Answered by Penny Nom.
	The nth term		2010-11-22
		From Daphne: Question from Daphne, a student: Hi, My name is Daphne and I am having trouble with a math problem. I am given this pattern below and asked to find an expression for the number of Bs in the nth term of the pattern. Someone please help!!! ABBA AABBBAA AAABBBBAAA AAAABBBBBAAAA The next part asks me to find the ratio of Bs to total letters in the nth term. Finally it says to use my expression to determine which term has exactly 35% Bs. Answered by Penny Nom.
	i^i		2010-11-21
		From trale: Can we use e^ix=cosx+isinx for finding i^i like that: x= pi/2 => e^(ipi/2)=0+i then [e^(ipi/2)]^i=i^i.then we find i^i= 0,207879576.... is it true? can we give value for x for free?thank you. Answered by Harley Weston.
	What is the largest prime number?		2010-11-20
		From vadali: what is the largest prime number? Answered by Penny Nom.
	A product of 1 000 000		2010-11-19
		From Sharron: There are many pairs of numbers that when multiplied together give a product of 1 000 000. However, there is one pair, and only one pair, of whole numbers that contain no zero digits and has a product of 1 000 000. What are these two numbers? Answered by Stephen La Rocque.
	A 35% profit		2010-11-19
		From Ana: You have a stamp collection and make a 35% profit by selling it on E-Bay for $2700. Find the original cost of the collection by using the formula:New value × 100 / 100 + percent change = Original value Answered by Stephen La Rocque.
	A 20" octagon		2010-11-19
		From CHARLES: I have a 20" octagon and it has 8 parts. In inches how big is each part. I was told each part was 5.86".The top of the octagon breaks into 3 equal parts don't equal 20".When i did my math i thought it should be 6 5/8" which is closer to 20" I am trying to cut a octagon out of a 20"circle Answered by Stephen La Rocque.
	Intersecting polygons		2010-11-17
		From Laura: How can I estimate the amount of intersection (area or better a normalized number) between two polygons if I have the cartesian coordinates of their vertices? Thank you in advance, regards, Laura Answered by Robert Dawson.
	A scale drawing		2010-11-17
		From chandler: A parking lot 200 meters wide; 1 centimeter:25 meters, find the length on the scale drawing and the scale factor Answered by Penny Nom.
	Simple interest		2010-11-17
		From Abeth: At what simple interest rate will a sum of money triple itself in 5 years time? Answered by Penny Nom.
	A six digit number containing no zeros		2010-11-15
		From John: Find a Six digit number containing no zeros in which the first digit is three less than the third, the third digit is three less than the fifth,and the second digit equals the sum of the last three digits. Answered by Penny Nom.
	Ordering fractions		2010-11-14
		From Alexia: I am having real trouble with how to order 18/11 , 2/5 ,6/15 from least to greatest can you give me a step by step real easy way to do it? Answered by Penny Nom.
	Will the ball clear the tree?		2010-11-14
		From MK: Sam hits a golf ball with a five-iron a distance of 120m horizontally. A tree 45m high and 35m in front of Sam is directly in the path of the ball. Will the ball clear the tree if the ball makes a parabolic curve and has a maximum height or 80m? Answered by Brennan Yaremko.
	What numbers can I be?		2010-11-13
		From john: my thousands digit is 2 times my ones digit.my hundreds digit is my ones digit plus 2. my tens digit is the difference between my thousands and hundreds digit what numbers can i be? Answered by Penny Nom.
	Four-digit numbers using 0,3,4,5,6,and 7		2010-11-12
		From Katy: Using only the digits 0,3,4,5,6,and 7, how many distinct four-digit numbers exist that are greater than 4002 and less than 6732? Answered by Stephen La Rocque.
	The perimeter of a semicircle		2010-11-11
		From gayathri: the area of semicircle is 1925sq.cm find perimeter Answered by Stephen La Rocque.
	The area of an equilateral triangle		2010-11-11
		From ginny: If a equilateral triangle has side lengths of 41.33m how would i calculate the area? if i don't know the height of the triangle? thank you. Answered by Penny Nom.
	Three consecutive odd integers		2010-11-07
		From karen: find three consecutive odd integers such that twice the sum of the second and the third is 43 more that three times the first Answered by Penny Nom.
	z^5 - 3z^4 + 2z^3 + z^2 - 3z + 2		2010-11-06
		From Kumar: would you please solve this problem, related to complex numbers. Find all the roots of : z^5 - 3z^4 + 2z^3 + z^2 - 3z + 2 Answered by Robert Dawson and Penny Nom.
	Nickels as dimes		2010-11-06
		From Exie: Clara has the same number of nickels as dimes in each jar. there are 15 cent in one jar and 30 cents in the other. how many of each coin does she have in each jar? I'm home schooling my granddaughter and this problem has me stumped..could you please help? thanks Answered by Robert Dawson.
	Bbippities, bops, and boos		2010-11-05
		From Stacey: six bippities equal three bops,and six bops equal two boos. How many boos are there in one bippity,one bop, and one boo?? Answered by Stephen La Rocque.
	Nickels and dimes		2010-11-05
		From kebede: John has 20 fewer nickels than dimes. The total of the nickels and dimes if $12.35. ow many of each coin does she have? Answered by Penny Nom.
	Terminal zeros		2010-11-04
		From morgan: if I have to multiply 1*2*3*4*5*6*7*8*9*10*11*12*13*14*15*16*17*18*19*20 how many terminal zeros do i get? Answered by Penny Nom.
	Four tires and a spare		2010-11-04
		From stacey: a car is driven 40,000 miles using four tires and a spare. the tires are rotated so that each tire travels the same number of miles. What is the number of miles traveled by each tire?? HINT: the answer is not 8,000 miles each.. Answered by Penny Nom.
	A 400 gallon drum		2010-11-04
		From Jerry: Question from Jerry: I want to build A tank. able to hold 400 gallons of asphalt sealer it will be round . basically like A old fuel oil drum but made with heavy material . math ? was I want tank to hold 400 gallons I think the length of 60" would be perfect. I don't know what diameter or radius of tank needs to be . to make it A 400 Gallon tank Answered by Harley Weston.
	How far must the pitcher travel to get to the ball?		2010-11-04
		From ken: A baseball player bunts a ball down the first base line. It rolls 35ft at an angle of 26 degrees with the first base path. The pitchers mound is 60.5 ft from the plate. How far must he travel to get to the ball. Answered by Penny Nom.
	A 500 ft by 30 ft strip		2010-11-04
		From Bill: How many acres are in a strip 500ft. X 30ft. Answered by Penny Nom.
	What is the speed of each car?		2010-11-04
		From Jennifer: two cars are 420 miles apart and traveling towards each other along the same road. They meet in 3.5 hours. One car is traveling 15mph slower than the other. What is the speed of each car? This must be solved using a system of equation, I have no idea? Answered by Stephen La Rocque.
	Walking around an acre		2010-11-04
		From sa: if you walk around 1.66 acres 10 times how many miles have i walked Answered by Robert Dawson.
	The sides of a trapezoid		2010-11-03
		From Bobbi: Isosceles Trapezoid base=60”; two 45⁰angles at base, two 135⁰ angles at the top, vertical distance between base & top=16”. What is the length of the top line and the two equal side lines? Answered by Penny Nom.
	The weight of some dirt		2010-11-03
		From Maggie: I am wanting to know how many tons of dirt we r going to need to fill a basement. The measurements we r going with r 15ftx15ftx8ft. Answered by Penny Nom.
	39-4+6 divided by 3 to the power of 2 = 3		2010-11-02
		From Emma: Help me and my family cannot figure this out, it the last question on my paper. I need to know how to use place the brackets to make the following problem true. 39-4+6 divided by 3 to the power of 2 = 3 we have tried for three days and cannot get it.......help! Answered by Robert Dawson and Claude Tardif.
	A fourth degree polynomial function with real coefficients		2010-10-30
		From Ryan: Question from Ryan, a student: What is the fourth degree polynomial function with real coefficients that has -1,1 and I as zeros and such that f(x)=160 Answered by Harley Weston.
	I want to make a 50% profit		2010-10-29
		From Debbie: If my cost on an item is $32.00 and I want to make a 50% profit- What would the retail be? Answered by Penny Nom.
	A problem that can be solved using trigonometry and geometry		2010-10-29
		From xolani: In your neighbourhood find a problem that can be solved using trigonometry and geometry. write a report on the problem and how you solved it. the report should contain: a) a clear description of the problem, accompanied by a diagram and all necessary measurements. b) a solution to thje problem, showing all calculations. c) proper theorems and rules must be used as part of the solution. Answered by Robert Dawson.
	Two algebraic expressions		2010-10-29
		From chaptay: what is the difference between x(n^2) and x(n)^2 Answered by Penny Nom.
	The slope of a hole		2010-10-28
		From William: What is the slope of a hole that is 7.4 mm in dia by .5mm in depth. Answered by Penny Nom.
	Measuring the heights of tall objects		2010-10-28
		From Inder: what is used in real world to measure heights of tall objects? besides Clinometer or shadows, what else is their that is used to measure tall objects. Answered by Robert Dawson.
	A box full of oranges		2010-10-28
		From Mary: A box full of oranges weighs 9 pounds. After a family ate 2/3 of the oranges, the remaining oranges and the box weighed 4 pounds. The weight of the box when empty is how many pounds? Answered by Penny Nom.
	sin14.5/a = sin150/280		2010-10-26
		From ken: how do you do the steps to this equation. sin14.5/a = sin150/280 the text book answer is 140.21 miles ,but how do the steps? Answered by Penny Nom.
	I have a sign size regulation I have to meet.		2010-10-26
		From Scott: I have a sign size regulation I have to meet. The size is .6 meters squared. at first look this would be 2 ft x 2 ft. I believe it would be larger then that. Can you confirm what the size would be in inches please. Answered by Penny Nom.
	The game of 24		2010-10-26
		From gabrielle: What is the answer using the numbers 0 0 0 0 (trig and calc are allowed, all math is allowed) in the game 24? Answered by Claude Tardif.
	A train passes a car		2010-10-24
		From Mary: A train, whose speed is 75 mph, takes 3 minutes to pass a car that is going 60 mph in the same direction. How long is the train? Answered by Stephen La Rocque.
	The base of an isosceles triangle		2010-10-24
		From Brian: how can I find the base of an isosceles triangle from the height and the perimeter? Answered by Penny Nom.
	Convert to multiplication		2010-10-23
		From angelina: how to covert 5+5+5=15 to multiplication Answered by Penny Nom.
	A polynomial with integer coefficients		2010-10-23
		From Adori: Question from Adori, a student: Find a polynomial with integer coefficients that has the given zeros: 2/3, 4, root of 3i, root of -3i. Answered by Harley Weston.
	a^(2^n)		2010-10-22
		From Tim: I am trying to understand a^(2^n). The hint they give is a^(2^(n+1)) = (a^(2^n))^2 I am writing a program that will solve a^(2^n) recursively but need to understand the power before I begin. I am currently pursuing writing (a) x (a^(2^(n-1))) where the (a^(2^(n-1))) would be the recursive function call a n approaches 0. Once n is 0, the result would be multiplied by a two more times. Anyway, explaining these powers would be appreciated. I will most likely complete the program before the answer but I want to understand the logic of these powers. Thank you, Tim Answered by Stephen La Rocque.
	A water trough		2010-10-22
		From Jasmine: A water trough is 8 m long and its cross-section is an isosceles trapezoid which is 90 cm wide at the bottom and 120 cm wide at the top, and the height is 30 cm. The trough is not full. Give an expression for V , the volume of water in the trough in cm^3, when the depth of the water is d cm. Answered by Stephen La Rocque.
	Four consecutive integers		2010-10-21
		From Mickey: Find four consecutive integers such that the sum of the first three integers is 20 more then the fourth integer. I know that for consecutive integers the algebraic expression is x+x+1+x+2+x+3 Answered by Penny Nom.
	A rectangle with rounded corners		2010-10-21
		From Connie: How do you find surface area if the rectangle is 100ft. by 200ft. with quarter circles in the corners with a radius of 20ft. ? Answered by Penny Nom.
	What are the speeds of the boats?		2010-10-21
		From Adori: Two boats leave the port of San Francisco traveling in opposite directions at the same time. One boat travels 8 knots per hour faster than the other. After one day's travel they are 1920 nautical miles apart. What are the speeds of the boats? Answered by Penny Nom.
	John and Mary are 200 miles apart		2010-10-20
		From Sarah: two people, john and mary, are 200 miles apart and leave at the same time to meet. They are driving toward each other at constant rate on the same straight road. John is traveling at 45 mph and Mary is traveling at 35 mph. When they meet, how many miles will they be from john's house? Answered by Penny Nom.
	Cleaning a ditch		2010-10-20
		From bill: how many yards of dirt will be removed from a ditch 200 feet long 6 feet wide at top x 3 feet wide at bottom and 4 foot slopes Answered by Penny Nom.
	Powers		2010-10-20
		From dylan: how do you write 20736 in exponential form .same for 1728 and 50625. is there a formula to figure out how to express large know numbers in exponential form. Answered by Penny Nom.
	The equation of a circle		2010-10-20
		From Silvan: Hi, I just want to find the x,y values for the circumference of a circle... Lets take a clock having its centre at (0,0) in a graph. I just want to know how to find the (x,y) co-ordinates for the curved path or the surface of the circle.. Is there any formula to directly align the curved path or the circumference of the circle in a graph for a known radius of a circle.. I feel it will be useful for me to draw a clock in a graph... :-) Answered by Penny Nom.
	An exponential equation		2010-10-19
		From Sandi: Question from sandi, a student: I have several questions similar to this one and was wondering if you could walk me through this one. I'm totally lost on how to do it. Paramecia reproduce by splitting in two. In a laboratory flask, a colony of paramecia had an initial population of 500. Each day, the population of the paramecia was counted. The results are as listed. Time (in days)------Population 0-----------------------500 1-----------------------600 2-----------------------720 3-----------------------864 4----------------------1037 5---------------------1244 6---------------------1493 7----------------------1792 8---------------------2150 1.)Using graphing calculator make a scatter plot of the data in table. I think I did this part right I set my window at Xmin=0 Xmax=10 Xscl=1 Ymin=0 Ymax=2500 Yscl=100 Xres=1 2.) Determine an exponential equation to represent the population as a function of time without using a graphing calculator.I have no clue how to do this. 3.)Suppose the flask and food supply is large enough to support the trend of the population growth. Estimate the population of the colony when the time is 10 days. Answered by Penny Nom.
	A commuter airline between two cities		2010-10-19
		From Adori: An airline runs a commuter between two cities that are 720 miles apart. If the average speed of the planes is increased by 40 miles per hour, the travel time is decreased An airline runs a commuter between two cities that are 720 miles apart. If the average speed of the planes is increased by 40 miles per hour, the travel time is decreased by 12 minutes. What airspeed is required to obtain this decrease in travel time? Answered by Penny Nom.
	The equation of a line		2010-10-19
		From Sava: I have to write an equation and sketch a graph for the line that meets the given conditions: A line with slope -15/5 that passes through the point (-2.5,4.5) Answered by Penny Nom.
	A scale factor		2010-10-17
		From david: We have to rectangles with measurements and we need to find the scale factor. The rectangles are W=6 L=4 for first and second is W=4 and L=3. thanks for your help Answered by Penny Nom.
	An algebra problem with fractions		2010-10-16
		From Morgan: Hi my math teacher has given us this question for our grade nine math class and I always get confused about multiple x algebra, could you help me? 6x+4        3x+2 ------   =  ------   3               5 I have no problems until it comes to combining integers, or x's Answered by Penny Nom.
	The angles in an m-gon and genrealizations		2010-10-16
		From Michael: Hello: In answer to a student's question, someone named Penny from your organization provided a proof that the sum of the interior angles of a triangle in the plane is pi radians (or 180 degrees). I am interested (and I'm sure many other people would be too) in 3 potential generalizations of this basic fact in plane geometry: Answered by Walter Whiteley.
	Geocaching		2010-10-15
		From Clint: I am stuck on a puzzle for Geocaching which is a GPS game. I know it is a number matrix but don't know how to start. [1 -7 16 -3 -9; 1 -3 18 -20 -33] x [1 8 -9 3 5; 0 1 0 4 2; 0 0 1 2 1; 0 0 0 1 -1; 0 0 0 0 1] = ? Answered by Stephen La Rocque.
	A linear system		2010-10-15
		From Sandy: HARD!! algebra (Linear Systems) question? An Airplane cruises at 120km/h in still air. One day, when the wind was blowing steady from the west, the airplane travelled west (flying into the wind) and landed at its desination after 1.5h. The airplane's return trip (flying with the wind) was only 1.0 h long. On both legs, the airplane travelled at its cruising speed. (meausred with respect to the air surrounding the airplane). Part A Write a System of equations that would allow you to determine the speed of the wind blowing that day and the distance travelled each way Part B When solving the system of equations graphically, what equations would you enter into the equation editior (to make graphs on your calculator) Part C Indicate what the X and the Y represent Answered by Stephen La Rocque.
	Two jets leave denver at 9 am.		2010-10-15
		From Carl: two jets leave denver at 9 am. One flying east at a speed of 50 km per hour greater than the other which is traveling west. At 11 am the planes are 2500 km apart. Find their speeds. Answered by Stephen La Rocque.
	Mathematics and medicine		2010-10-13
		From Dixie: need equations used in medicine for medicine and intravenous administration Answered by Penny Nom.
	Simplifying fractions		2010-10-13
		From Alice: 14times (9divied3) + 12 ______________________ 18 divied (26-24) don't get this....... Answered by Penny Nom.
	The volume of a truncated pyramid		2010-10-12
		From A: what is the formula to find out volume of a pyramid with individual length and breadth? For example bottom size is 6.5m x 6.5m, top size 1.5m x 4.2m and height 0.8m. please send me the formula. Answered by Stephen La Rocque.
	30,000 US gallons of water		2010-10-12
		From mike: If a swimming pool can hold 30,000 US gallons of water - is it possible to calculate the number of yards of dirt it would take to fill the hole? Answered by Penny Nom.
	Cost of a driveway		2010-10-11
		From arlene: What is the total cost of a driveway that is 25' wide and 45' long with 4" thickness if the concreat cost 92.00 per cubic yard and labor is 70.00 a cubic yard? Answered by Stephen La Rocque.
	Area on a dart board		2010-10-11
		From Robert: A dart board consists of concentric circles and line segment. the radius of the bull's eye is 4 inches and each ring surrounding the bull's eye is 3 inches wide. a) what is the area of the bull's eye b) what percent is the bull's eye. hint there are 4 rings and the bull's eye is divided into 4 (90) degree angles (meaning 1/2 up and down) (1/2 left to right. Answered by Stephen La Rocque.
	Electronic cars around a circular track		2010-10-11
		From Taylor: Cory and Melissa are racing electronic cars around a circular track. They begin at the same time going in the same direction. Cory's car completes a revolution in 35 secs, while Melissa's car completes a revolution in 30 secs. How long will it take them before both cars reach the starting point again simultaneously? Answered by Stephen La Rocque and Penny Nom.
	What is the maximum weekly profit?		2010-10-10
		From Joe: A local artist sells her portraits at the Eaton Mall. Each portrait sells for $20 and she sells an average of 30 per week. In order to increase her revenue, she wants to raise her price. But she will lose one sale for every dollar increase in price. If expenses are $10 per portrait, what price should be set to maximize the weekly profits? What is the maximum weekly profit? Answered by Stephen La Rocque and Penny Nom.
	500 feet by what equals 8 acres?		2010-10-09
		From Terry: 500 feet by what equals 8 acres? Answered by Penny Nom.
	Can a function be both even and one to one?		2010-10-09
		From Tracy: Can a function be both even and one to one? Answered by Harley Weston.
	x/200+x/400+x/600+x/800		2010-10-08
		From Ashishthombre: step by step LCM of x/200+x/400+x/600+x/800 Answered by Penny Nom.
	2x − 1 ( 1 − 2x) = 1 ( 2x − 2x)		2010-10-08
		From MC: Solve 2x − 1 ( 1 − 2x) = 1 ( 2x − 2x) for x I am befuddled! Thank you for any explanation you can give that show me the steps. I know the order in which I should tackle it, but am so confused regarding how to assume x. Thank you! Answered by Penny Nom.
	Tiles on a bedroom floor		2010-10-07
		From Rochelle: John's bedroom floor is square in shape. He used 625 tiles, with a side length of 200 mm, to tile the whole floor. Calculate the area and dimensions of the bedroom Answered by Penny Nom.
	Exponential form		2010-10-06
		From celina: what is the exponential form of 4x*4x Answered by Penny Nom.
	A division sentence for an array		2010-10-05
		From Laura: On a math test Grace needs to look at an array and write a division sentence for the array. Grace writes 18/3=6 on her answer sheet. Describe what the array on Graces test looks like. Answered by Penny Nom.
	Two cars		2010-09-30
		From Amanda: Two cars, 142 miles apart, start moving towards each other at the same time. One is moving 3 times as fast as the other. If they meet 1.7 hrs later, find the average speed of the slower car in miles per hour? Answered by Penny Nom.
	Rectangular arrays		2010-09-29
		From Kim: My 4th grader has started working on rectangular array that shows 2 factors of a number. The problem reads on centimeter grid paper draw as many arrays as you can for each of the #'s 2,3,4, 5,6,7,,11,12,15 and 16. That would be great except I have no idea what they are talking about and I cannot offer any help to my daughter. Answered by Penny Nom.
	A Taylor polynomial for (lnx)/x		2010-09-29
		From Dave: I have a series problem that I cannot solve. The problem asks for you to compute a Taylor polynomial Tn(x) for f(x) = (lnx)/x. I calculated this poly out to T5(x) and attempted to use this to identify a pattern and create a series in order to calculate Tn(x). However, the coefficients on the numerator out to F5prime(x) are as follows: 1, -3, 11, -50, 274... Ok, so the negative is an easy fix -> (-1)^n-1. But the other coefficients are stumping me. I can't see any sort of pattern there and I've tried every trick I know. Is there another way to go about this? Thanks! Answered by Chris Fisher.
	Factoring cubics and quartics		2010-09-29
		From Tori: How do you factor these types of questions: * x^3 - 4x^2 - x + 4 *2x^3 - 3x^2 - 4x - 6 *x^4 - 15x^2 - 16 Answered by Robert Dawson.
	limit as x approaches a of ((x^(1/2))-(a^(1/2)))/(x-a)?		2010-09-29
		From emily: limit as x approaches a of ((x^(1/2))-(a^(1/2)))/(x-a)? Answered by Penny Nom.
	A limit		2010-09-27
		From norma: I have a problem like this one but I can get it right. please help me to answer find the constant a such that the function is continuous on the entire line. g(x)= {x^2 - a^2 / x-a if x is not = a          {6 if x = a Answered by Penny Nom.
	An investment of 500$		2010-09-27
		From georgia: if you invest 500$ at a 7% annum and the balance at a 10% annum and your interest earned is 44$ annum how much was invested in the 7% and how much in the 10%. Answered by Penny Nom.
	An equation involving logarithms		2010-09-27
		From mindy: Hi, I am trying to find x, the equation is: log_2(log x + 2 (log x)^(1/2) + 1) - 2 log_4((log x)^(1/2) + 1) = 1 Thank you very much for your time. =) Answered by Harley Weston.
	4√3 + 2√1/3		2010-09-25
		From Michelle: How do you solve 4√3 + 2√1/3? Please show step by step. Answered by Penny Nom.
	The distance between the origin and a moving point		2010-09-24
		From Norma: I am having problems with this question find the rate of change of the distance between the origin and a moving point on the graph of the function below if dx/dt=5 cm/sec y=x^2+2 Answered by Penny Nom.
	rat sequence		2010-09-24
		From Vishal: this is known as rat sequence. I want to know the logic pf this :- 1,2,4,8,16,77,145 Answered by Chris Fisher.
	20% profit on the selling price		2010-09-24
		From ata: My cost is 100 and I want to make 20% profit on my selling price (not 20% of the cost). So, what should be calculation formula? Let's say my cost is 493.71 and I want to make 53.28% profit on the selling price; so how to determine the selling price? Answered by Penny Nom.
	The third vertex of a triangle		2010-09-23
		From nikos: Hi, I would really appreciate any help in this: "Suppose you have a triangle (any triangle, no hypotheses allowed), let's call it ABC. You know the coordinates of the two vertexes, A(x1,y1), B(x2,y2) and the area of the triagnle, let's call it D. Can you find the third vertex of this triangle based on these facts?" Thanks a lot! Answered by Harley Weston.
	A reverse PST calculation		2010-09-23
		From Manning: Hi, I'm a manufacturing contractor in Saskatoon. The way to calculate PST for us is using total contract amount x 70% then 5%. For example, contract amount of $100 x 70% x 5% = $3.5 (PST). The subtotal is using contract amount + PST. $100 + $3.50 = $103.50. If you only know the subtotal is $103.50 including PST, how do you reverse calculation to get the contract amount? Thank you very much for your help. Answered by Harley Weston.
	A three digit number		2010-09-22
		From Andrew: Both the sum and the product of its three digits are 6. The least digit is in the hundreds place and the greatest digit is in the ones place. Write it in word form: Answered by Penny Nom.
	A taxi ride		2010-09-22
		From Jack: A taxi ride costs you $2 for the first km and 10 cents for each tenth of a km thereafter. Sketch a graph of the total cost $C(x) for a ride of xkm, for 0 < x < 2. Hint: The graph is not smooth. How will I start this question off? I tried the table of values method, and then graphed it, but it comes out as smooth, Answered by Stephen La Rocque.
	Finding a Number Pattern		2010-09-22
		From Cheryl: Sunshine Math - 4, Jupiter 1, question 4 which is (a, b, c & d). I am wanting to know question 4d. Think about the following list of number pairs. Three is the first number of a pair, and 8 is the second. 3 - 8 4 - 11 5 - 14 6 - 17 and so forth Question d. - If a number "n" is the first number, what is the second number? I don't know how my son should answer this question. It sounds like it should be a formula but how does he get to it and how do I explain it to him. Looking forward to your help. Cheryl Answered by Janice Cotcher.
	Percentage of Revenue Generated		2010-09-22
		From Jeri: Hi! I am trying to fill out the government form for obtaining a business license and this is all new to me...it wants to know the estimated percentage of revenue that my product generates. An easy formula to figure this out would be greatly appreciated! Answered by Stephen La Rocque.
	A Squared Number That's Negative		2010-09-22
		From David: What is the only number that when it's squared becomes negative? Answered by Stephen La Rocque.
	COMPASS BEARING		2010-09-22
		From Vivinne: Three boys, Isaac, Alex and Ken are standing in different parts of a football field.Isaac is standing 100m North of Alex. Ken is 120m East of Alex. Find the compass bearing of Ken from Isaac. Answered by Stephen La Rocque.
	Limiting Cases in Geometry		2010-09-22
		From Niki: Consider a rectangle inscribed in a circle with a radius or R. What are the possible perimeters for the rectangle? Answered by Stephen La Rocque.
	|x+ 3| = |x-1|		2010-09-21
		From Jack: |x+ 3| = |x-1| Answered by Penny Nom.
	What is the average speed?		2010-09-21
		From Cindy: A boat travels downstream m nautical miles at d knots. It travels upstream m nautical miles at u knots. What is the average speed for the entire trip? Answered by Penny Nom.
	Limits		2010-09-20
		From rodrigo: what's the limit of x+1/x-1, when x tends to 1? Answered by Janice Cotcher.
	Find the point of contact of the circles		2010-09-20
		From Sandra: If the center of circle A = (-1,-3) and the radius of it is √20, the center of circle B = (5,9) and the radius of it is √80. Find the point of contact of the circles A and B. Answered by Janice Cotcher.
	40 mph for 6 minutes		2010-09-20
		From Andy: If i was traveling at 40 mph for 6 minutes, what is my distance in miles? Answered by Penny Nom.
	order fractions from least to greatest		2010-09-20
		From Kameron: How do I work this out to find the answer from least to greatest ? 48/8, 12/16, 3/5 Answered by Melanie Tryer.
	Constructing a tipi		2010-09-20
		From mike: we are thinking about making a lightweight tipi tent but we need to know what the angles and lengths of each side that we will need to cut. The height of the tipi wants to be about 2.2m span at the widest point wants to be about 3.2m we want to make it based upon a 6 sided(hexagon) shape thanks for your help Answered by Harley Weston.
	May Lee's cake		2010-09-18
		From Wafa: May Lee bought a cake which is circular in shape. Her sister ate a quarter of the cake. Given that the area of the top surface of the remaining portion is 520 square cm, find the diameter of the cake. Answered by Penny Nom.
	Elimination and substitution		2010-09-18
		From Lauren: Solve one using the method of substitution and the other with the method of elimination. v a. y=5x+4 x=2y+1 b. 4x+3y=7 6x-3y=13 Answered by Penny Nom.
	The circle centered at (2,-4) with radius 3		2010-09-18
		From lupe: Consider the circle centered at (2,-4) with radius 3. Write the equation of this circle sketch its graph, and find the exact coordinates of its intercepts. x-intercept y-intercept using the quadratic equation? Answered by Penny Nom.
	Continuity		2010-09-18
		From Carina: Hi. My name's Carina and I'm currently a sophomore in high school. I'm having a lot of difficulties in AP Calculus with continuity, one-sided limits, and removable discontinuities. Basically, I have no idea how to do them or even what they are. I read the lesson but I still don't get it. Can someone put it in simpler terms so I can understand how to complete my questions? Thank you! Answered by Robert Dawson.
	Six nines		2010-09-16
		From Steph: It's sort of one question. We have to use six nines to get the numbers 1-30. I got all but 22, 23, 24, and 30. Like 15 is 9+9-(9+9+9)/9. Answered by Penny Nom.
	A strip of land		2010-09-15
		From Walter: How many linear feet of strip of land 15 feet wide does it take to make 1 acre? Answered by Penny Nom.
	La racine carrée et l'exposant une demie		2010-09-14
		From Alain: Bonjour. Je cherche une explication sur l'équivalence entre les exposants fractionnaires et les racines nième. Par exemple, comment prouve-t'on que la racine carrée correspond à  l'exposant une demie? merci Answered by Pierre-Louis Gagnon et Claude Tardif.
	Two numbers		2010-09-14
		From Sania: math homework help-Felicia is thinking of two numbers. One of them is 2 more than 3 times the other one. The difference between the squares of these numbers is 112. What is the smaller number? Answered by Penny Nom.
	The nth term		2010-09-14
		From Anna: The problem is 2n-2. find the nth term. I'm lost as how to even begin Answered by Penny Nom.
	Choose any three digits that are less than ten		2010-09-12
		From cecille: my son have a homework, but i don't understand the question. here's the problem: choose any three digits that are less than ten. make all the two digit number you can using those three digits. add up the two digit numbers you created and divided by the sum of the original three digits. record your answer. then do it again with another three digits. write your observation about the answer. Answered by Claude Tardif.
	The length of a vector		2010-09-12
		From kyrie: Find the possible values of the constant a such that | ai + 4aj + 4k | = 13 I know the answer is 3 but not sure how to get to it Answered by Penny Nom.
	Two perpendicular chords		2010-09-11
		From edwin: two perpendicular chords AB and CD intersect at P. if X,Y are their midpoints and M the centre of the circle, prove that MP=XY. I do not a have clue on how to do it so can you please help me with it Answered by Robert Dawson.
	(5xy)^5		2010-09-10
		From ana: (5xy)^5 Answered by Penny Nom.
	An algebraic equation with fractions		2010-09-10
		From leah: If 6/x - (x-1)/2 = 4 then the LCD is 2x, right? so you get 12/2x - (x2-x)/2x = 8x/2x, right? then what do you do with the 2x when you turn it into a quadratic equation? Answered by Penny Nom.
	How many cubic metres of water can safely be stored in the tank?		2010-09-10
		From susanna: This water tank is a perfect sphere with an inner radius of 12 metres. However, they used inferior materials to build the water tank, and the tank can only withstand a water pressure of 185 kiloPascals. Assume the density of water is exactly 1000 kg/m3, gravity is 9.8 metres/s2, and disregard atmospheric pressure. How many cubic metres of water can safely be stored in the tank? Round DOWN to the nearest whole number (since rounding up could be catastrophic in this instance!), and please submit only a number with no other information. Answered by Robert Dawson.
	Mrs. Johns graded 121 math tests.		2010-09-10
		From Tums: Mrs. Johns graded 121 math tests. It took her 3 hours to grade all of the tests. Each test took the same amount of time to grade. About how many test did Mrs. Johns grade in 2 hours? Answered by Penny Nom.
	A building and a flag pole		2010-09-09
		From paul: A flag pole and a building stand on the same horizontal level. From the point p at the bottom of the building,the angle of elevation of the top t of the flag pole is 65 degrees. From the top q of the building the angle of elevation of the point t is 25 degrees.If the building is20 meters high. Calculate the distance pt Answered by Penny Nom.
	Arrays		2010-09-09
		From Susan: I'm a lawyer but evidently incredibly stupid at 4th grade math. . . .Question: cover a tabletop with 9 rows of square tiles with 9 squares in each row. How many tiles cover the tabletop? Then, the paper shows a 9x9 array and asks how it is used to solve the problem. My daughter wrote 9x9=81. The next question is "what are the products of the two smaller arrays?" ???? There are no other arrays - are we to make smaller arrays from the 9x9? how? Answered by Robert Dawson.
	A logarithmic equation		2010-09-08
		From Rohit: x^2 + k*ln(x) - c - k = 0 Where k and c are constants. Answered by Penny Nom.
	Decimal form		2010-09-08
		From Tracy: What is the decimal form of 0.14 x 10 the the first power? Answered by Penny Nom.
	4.5 PLUS 29		2010-09-07
		From kiona: 4.5 PLUS 29 Answered by Penny Nom.
	The new diameter is 50 per cent larger than the original.		2010-09-04
		From mahwish: . A circular logo is enlarged to fit the lid of a jar. The new diameter is 50 per cent larger than the original. By what percentage has the area of the logo increased? Answered by Tyler Wood.
	Driving north, east and west		2010-09-02
		From dane: suppose that you drive 27 miles north, 31 miles east, 45 miles west, and 14 miles east. how far are you from your starting point? Answered by Penny Nom.
	A pattern		2010-09-01
		From Hien: How to find the pattern in this function? x=1, y=o x=2, y=1 x=3, y=1 x=4, y=2 x=5, y=2 x=6, y=3 x=7, y=3 and so on... Answered by Tyler Wood.
	How are decimals used in every day life?		2010-09-01
		From Keith: how are deciminal used in every day life Answered by Tyler Wood.
	Maximizing the volume of a cylinder		2010-08-31
		From Haris: question: the cylinder below is to be made with 3000cm^2 of sheet metal. the aim of this assignment is to determine the dimensions (r and h) that would give the maximum volume. how do i do this? i have no idea. can you please send me a step-to-step guide on how t do this? thank you very much. Answered by Penny Nom.
	Three cars		2010-08-30
		From Anil: 3 cars are moving at speed of 4 kmph,5.5 kmph and 8 kmph in a circular track.The circular track has a distance of 11 km. What is the time taken for all the 3 cars to meet at the starting point ? Answered by Stephen La Rocque.
	A truck goes south and then east		2010-08-26
		From MARK: A truck starts at point A and drives South 3 miles. Then it turns left at Point B and drives east four miles to point C. How many miles is the truck at point C from point A if it were to drive directly from point A to Point C.My book says the answer is 5 miles. How did they come up with the answer? Answered by Robert Dawson.
	Percentage improvement		2010-08-26
		From shahrukh: Hi... We had a web page that was taking 12 secs to load. Now it loads in 3 secs. What is the percentage of improvement or how much faster is it working now. TO me it looks like it is working 3 times faster or there is a 300% improvement in the loading time. However my client says its ((12-3)/12*)100 = 75% improved. Which seems illogical on the face of it. Thanks for your help Shahrukh Answered by Robert Dawson and Chris Fisher.
	What is -2^2?		2010-08-25
		From alex: I know that (-2)^2 is 4 but what is -2^2? Answered by Robert Dawson and Penny Nom.
	Can a fraction be an even or odd number?		2010-08-25
		From Kenneth: Can a fraction be an even or odd number? If not , why? Answered by Stephen La Rocque and Harley Weston.
	Ordering fractions		2010-08-24
		From COCO: Hello. I am having lots of trouble with these types of problems. Here is one of them:1/2 1/18 3/6. And I need to order them from greatest to least. Please also explain how to do it. Answered by Robert Dawson.
	Exponential form		2010-08-24
		From Courtney: What the Exponential form? For Ex. X2*X5*X4?? Answered by Penny Nom.
	A max min problem		2010-08-19
		From Mark: a rectangular field is to be enclosed and divided into four equal lots by fences parallel to one of the side. A total of 10000 meters of fence are available .Find the area of the largest field that can be enclosed. Answered by Penny Nom.
	A vertical asymptote		2010-08-19
		From Kendall: If a compound function is defined as 1/x for x<0 and 5 for x>=0 does it have a vertical asymptote at x=0? According to the definition in my book I think it does because the left-hand limit is infinity and it only takes one side to cause a vertical asyptote. Thanks! Answered by Harley Weston.
	Mr Thorpe's volume		2010-08-15
		From thomas: A circular pool has a diameter of 3m and is filled to a depth of 70 cm. Mr Thorpe climbs into the pool and submerges for ten seconds while his son measures the new depth at 72 cm. Calculate Mr Thorpe’s volume. Answered by Penny Nom.
	Digging a pond		2010-08-14
		From Jody: I am digging a pond that is 100' X 60' X 10' deep in the centre. All four sides will have 3-1 slopes on them. How do I calculate how may yards of material will have to be removed? Answered by Tyler Wood.
	A circular 20 acre lake		2010-08-13
		From Ken: I jog around a circular 20 acre lake. Please help me learn the distance of the perimeter of the lake so I will know my jogging distance. Thanks Answered by Stephen La Rocque and Tyler Wood.
	How many labels are left on a roll?		2010-08-13
		From Melissa: Is there a simple way to calculate how many labels are left on a roll? I thought there was a way to look at the individual label length, the label thickness and the core diameter and then measure the overall diameter to calculate how many pieces were left, but I'm struggling. I've seen a tool before- I thought we called it a circle calculator, but those parameters were all that I needed to input to spit out the correct count. I never saw what was behind the scenes for this calculation. Ie factoring in revolutions or the number of pieces on each layer, etc. Please let me know if you have any suggestions. Any assistance will be greatly appreciated!!! Thanks! Answered by Penny Nom and Tyler Wood.
	80,000 yards of dirt		2010-08-12
		From Jeremy: If I have an area 50' x 1200', what would be the elevation with 80,000 yards of dirt on it. Answered by Robert Dawson.
	There are 12 balls and one balls weight is different than the others		2010-08-12
		From david: if there was 12 balls and one balls weight is different than the other and use a balance 3 times is there a possible way to find which weigh different Answered by Robert Dawson.
	Running 100 km		2010-08-12
		From thomas: Another athlete runs 8 laps every day on the same 400m running track. How many days will it take him to run a total of 100 km? Answered by Robert Dawson.
	Differentiable on an interval		2010-08-12
		From Dave: Hi I was wondering if a function can be differentiable at its endpoint. For example if I have Y = X^2 and it is bounded on closed interval [1,4], then is the derivative of the function differentiable on the closed interval [1,4] or open interval (1,4). They always say in many theorems that function is continuous on closed interval [a,b] and differentiable on open interval (a,b) and an example of this is Rolle's theorem. Thank you for your help. Answered by Robert Dawson.
	An octagonal shaped cake		2010-08-12
		From Sara: Hi, I have tried many polynomial equations and substitution methods but i cant seem to get the right answer. Can you please provide some guidance? Question: A square cake tin is 24cm x 24cm x 7cm but a cook wants to make an octagonal shaped cake so has cut out 4 pieces of rectangular card board and placed one on each corner on the interior of the tin. The cake has to be a regular octagon so pieces must be just right. What is the size of each piece of cardboard to make the cake a regular octagon? Thankyou. Answered by Tyler Wood.
	Two cars on a circular track		2010-08-12
		From david: If two cars starts to drive at point 1 and go in a circle when will they meet? (one cars speed is faster the other ) all I need is a formula Answered by Tyler Wood.
	Disposing of some concrete		2010-08-12
		From Kathy: We are needing to dispose of concrete that we are tearing out of our backyard and I need to figure the dimensions and weight. I figured we have approx. 419 sq ft of concrete at 4" thick. Could you tell me the how much that comes to in cubic ft, cubic yards and weight. So I can get some estimates on pricing to haul off and dispose of. thank you Answered by Harley Weston and Tyler Wood.
	Algebraic Equations		2010-08-10
		From Justin: the amount of money that Mika has if she has some quarters how fast Rya runs if she runs 5 mi/h slower than Danae please help, thanks, justin Answered by Robert Dawson.
	The integral of (x^2*exp(x)/(exp(x)-1)^2		2010-08-09
		From sujoy: please find this integral for me int(x^2*exp(x)/(exp(x)-1)^2 Answered by Robert Dawson.
	Ratios		2010-08-06
		From Ashleigh: Hi, I am dealing with ratios of me and 9 other students. I was wondering how you turn an arm span and height into a ratio? for example if a person has a height of 62 and an arm span of 63 what would the ratio be for that? Answered by Penny Nom.
	The height of a triangle		2010-08-05
		From Ann: The height of a triangle is 4cm less than the base. The area is 198cm^2. Find the height. Answered by Stephen La Rocque.
	Two overlapping circles		2010-08-04
		From Husen: two circles of radius 5 cm intersect each other .the distance between their centers is 5root 2.find the area of the portion common to the two circles Answered by Penny Nom.
	A square field has an area of 289 meter squared		2010-08-02
		From daniel: a square field has an area of 289 meter squared. How do you calculate the dimensions Answered by Stephen La Rocque and Penny Nom.
	A rational equation		2010-08-02
		From Bailey: 3/x + x/x+2 ______ -2/x+2 Answered by Penny Nom.
	A shrunken car		2010-07-31
		From Diana: Car manufacturers have outdone themselves. They have discovered how to shrink a car to make parking easier. At the touch of a button, a car shrinks by 2 feet in the width and 4 feet in the length. The original car base is 24 square feet longer than that of the shrunken car. If the original cars length is twice the width, find the dimensions of both cars. Identify the unknowns carefully. Answered by Penny Nom.
	A fruit seller		2010-07-31
		From Nazrul: 5% of total number of fruits of a fruit seller has been rotten and also 5% of them has been damaged during transportation. What is the percentage profit by which he sells the rest so that he profit 20% as a whole? Answered by Penny Nom.
	70 cubic meters of mulch		2010-07-30
		From zsuzsi: i have 70 cubic meters of mulch to move and an 8 tonne truck to use how much tonnage is to 1 square meter so that i can work out how many trips i need to make Answered by Penny Nom.
	The suspension cables of a bridge		2010-07-29
		From Mike: what is the formula for the suspension cables of a bridge. The towers are 200 ft above the roadway The towers are 3400 ft apart The cable if at 8ft in the middle of the span Answered by Robert Dawson.
	The volume of earth to be moved		2010-07-29
		From Michael: Volume of earth moved @ 500' across, 1 to 3 degree slope, 30' deep X 50' across at the bottom. Answered by Stephen La Rocque and Harley Weston.
	The shadow of a building		2010-07-28
		From vera: building casts a shadow 210 ft. long,40 degree angle.How tall is the building? Answered by Penny Nom.
	The area of a hexagon		2010-07-28
		From Katie: Hi i have to find the area of a hexagon with only the side length 2cm given would you be able t help? Answered by Walter Whiteley.
	How fast is the second car taveling?		2010-07-26
		From Jeff: A car is traveling 75 mph. It takes 12 miles to overtake a second car that was .5 mile ahead. How fast is the second car taveling? Answered by Stephen La Rocque.
	A spaceship playhouse		2010-07-26
		From Dave: I would like to build a spaceship playhouse for my grandson I want it to be about 36" around and I want to use 5/4 decking boards that measure 5 1/2" wide how do I figure out how to lay out a base pattern to nail to (what angle do I need to cut and how many boards will it take to go around the circle. Answered by Penny Nom.
	Difference quotient		2010-07-26
		From Brandon: i'm trying to figure out how to use the difference quotient with x^3, i have tried the following...(x+h)^2*(x+h)-(x+h)/h and i have only gotten as far as...(x^2+2xh+h^2)-(x+h)/h....i cannot see where i am goin astray, i know i am overlooking something simple, what am i overlooking? Answered by Penny Nom.
	Pi		2010-07-26
		From Eden: I think that "pi" is an important number in math. I have learned this number's approximate value since childhood but I haven't known how can it be got and who find that number . So please help! Answered by Robert Dawson.
	How much longer will it take to reach Toronto		2010-07-22
		From Rachelle: We are taking a trip from Ottawa, ON to Toronto, ON. The total trip is 150 kms and will take us 4.5 hours. We have already driven 108 kms and there is still 42 kms left to go. If we are travelling 110 kms/hr, how much longer will it take to reach Toronto? Answered by Penny Nom.
	$1579 is 20% of what number?		2010-07-22
		From Luis: Question: $1579 is 20% of what number? Answered by Robert Dawson.
	The tonnage of some gravel		2010-07-22
		From Gregory: i have a road that is 8 miles long 20 feet wide and 4 inches deep what is the tonnage for gravel i would need Answered by Penny Nom.
	Reflection in the line y = x		2010-07-21
		From tousif: Find the 2 x 2 matrix which represents a reflection in the line y = x? Please help.... Answered by Penny Nom.
	I need to learn to think mathematically		2010-07-20
		From Student: I need to learn to think mathematically, and like math while doing it, got any ideas, help. Answered by Walter Whiteley.
	Numbers that can be formed using the digits 1,2,3,4,5,8,9		2010-07-19
		From Donessa: write the number that is 2000 more than the difference between the largest and the smallest number that can be formed using the digits 1,2,3,4,5,8,9 Answered by Tyler Wood.
	An 18ft round pool		2010-07-19
		From christine: will an 18ft round pool fit on a 12x16 ft rectangular cement slab? Answered by Tyler Wood.
	Remainders		2010-07-17
		From GARY: WHAT NUMBER DIVIDED BY 11 LEAVES 1, DIVIDED BY 13 LEAVES 8, AND DIVIDED BY 17 LEAVES 3. Answered by Chris Fisher.
	Simplify (2x)3		2010-07-16
		From emily: how to Simplify (2x)3 Answered by Melanie Tyrer and Penny Nom.
	Converting kilograms to cubic metres		2010-07-16
		From Ilai: I want to convert kg to cubic metre Answered by Penny Nom.
	The area of a 4 sided region		2010-07-14
		From Cliff: If I wanted to know the square footage of an area that has four different sides and only had the length of one side and the angles at the ends of that length; could the other lengths be found if I wanted to have a total of 130,680 square feet? Answered by Robert Dawson and Tyler Wood.
	Pursuing Car 1		2010-07-13
		From Mark: Car 1 is traveling down the road at 50mph and passes Car 2 is sitting on the side of the road. Car 2 needs to catch Car 1 one half mile down the road. How fast must Car 2 drive to catch Car 1 if Car 2 waits 10 seconds before pursuing Car 1? Answered by Robert Dawson.
	Half a mile at 50 mph		2010-07-13
		From Mark: How long will it take a car to travel 1/2 mile at 50 mph? Answered by Robert Dawson.
	Fibonacci and induction		2010-07-12
		From James: I'm trying to prove by induction that F(n) <= 2^(n-1) where f(1)=f(2)=1 and f(k)=f(k-1)+f(k-2) for k >=3 is the Fibonacci sequence Answered by Stephen La Rocque and Tyler Wood.
	A pattern in a puzzling sequence		2010-07-09
		From Martha: A1 2 3 B 5 6 7 C 9 10 11 D 13 14 15 USE THIS PATTERN SUGGESTED TO HELP YOU FIND THE MISSING TERMS IN THE PROBLEM BELOW: a) H _ _ _ b) R _ _ _ c) _ _ 50 _ d) _ _ _ 63 e) _ @#$ where @ + # + $ = 258 Answered by Tyler Wood.
	An octagon shaped bench		2010-07-09
		From rob: i am trying to build a octagon shaped bench to fit inside a 69 inch round hot tub so that the tip of each point touches the edge of the circle where it will be fastened. Answered by Stephen La Rocque.
	Thickness of sand		2010-07-07
		From RHONDA: In an 18 x 33 ft area how much is 4 yards of sand in inches to cover this area. Answered by Penny Nom.
	777777 times 111111		2010-07-07
		From Chew: What is 777777 times 111111 without using a calculator? Answered by Chris Fisher.
	Maximize the floor area		2010-07-07
		From shirlyn: A rectangular building will be constructed on a lot in the form of a right triangle with legs of 60 ft. and 80 ft. If the building has one side along the hypotenuse, find its dimensions for maximum floor area. Answered by Penny Nom.
	12 coins		2010-07-07
		From Eden: We have 12 coins same in size and shape and also weight. But among these, one coin which has same size and shape, but not in weight and we can't know that this coin was lighter or heavier. We must decide which coin was lighter or heavier among these 12 coins in 4 times of weighting with scale. Answered by Stephen La Rocque and Tyler Wood.
	A collection of baseball cards		2010-07-01
		From Martha: Cody has a collection of baseball cards. Is it possible for him to place the cards into 5 boxes so that exactly 3 of the boxes contain an odd number of cards and the total number of cards in two of the boxes is the same as the total number in the other 3 boxes? Explain. Answered by Robert Dawson, Penny Nom and Claude Tardif.
	Fillig the pool		2010-06-29
		From saurabh: At certain swimming pool certain pipes can fill it in 2 hours, another can fill it in 5 hours,and third pipe can empty the pool in 6 hours. with all three pipes turned on at the same time and starting with an empty pool , how long will it take to fill the pool Answered by Robert Dawson.
	The equation of a parabola		2010-06-29
		From Tiffany: Find the equation of a parabola that passes through the points (-2,3), (-1,1) and (1,9) Answered by Stephen La Rocque.
	A play tent		2010-06-28
		From Susan: Hi!!! I am making a play tent as seen at the link below and need to figure out how to get the dimensions for the cone shape. The one shown has 4 different seams, but I guess I can get away with just one seam to sew it together (?) I need it to go over a hula hoop as that is what I am using for the round support at the top. My hula hoop is 35" in diameter from outside edge to outside edge. I would like the height of the teepee to be around 30" from the center to the peak. Thanks so much, oh my gosh, I have been fretting for 2 days about this and my hair is about to fall out!!!! Please contact me if you need any additional info. ~Susan http://www.landofnod.com/family.aspx?c=52&f=4100 Answered by Penny Nom.
	1 cubic yard of top soil		2010-06-28
		From Bob: If you were to place 1 cubic yard of top soil onto a 15' X 24' Garden area and it was spread evenly would the amount be a dusting of 1" or about 1'? Answered by Penny Nom.
	The product of 2 consecutive integers		2010-06-28
		From Sharon: the product of 2 consecutive integers is -6 less than the square of the larger number. find the smaller number Answered by Penny Nom.
	An algebraic fraction		2010-06-28
		From luis: 3x-2//4-3x=12 Answered by Stephen La Rocque.
	The intersection of two graphs		2010-06-27
		From Austin: In depth explanation of how to find the intersection points of functions y=-4t+300 and y=-4.9(t-5)^2+300 Answered by Stephen La Rocque.
	Thermal expansion of a steel beam		2010-06-25
		From chris: If a 50 ft steel beam can expand up to 4inches when heated to 1000f How much will a 162 ft and six inches steel beam expand under the same conditions? Answered by Robert Dawson.
	The diameter of a circle		2010-06-24
		From John: Piece of wire 72cm in length bent to make semicircle and diameter.Find length of diameter.Answer given 28cm.How is this arrived at?Looked at circumference in various ways but failed to understand how 28 cm was arrived at.Thanks for the help. Answered by Robert Dawson.
	Rays and angles		2010-06-24
		From cristina: what is the formula for finding the number of angels that can be named by a given number of rays with the same endpoint? Answered by Robert Dawson.
	(x^3 + 11x) is divisible by 6		2010-06-24
		From PT: Given that x is a non-zero integer, how do you show that for all values of x, (x3 + 11x) is divisible by 6? I know it works but how do I answer the "all values of x" part? Thanks in advance! Answered by Robert Dawson.
	Volume of a styrofoam cup		2010-06-23
		From Stacy: how do you find the volume of a truncated cup with height of 3, top diameter of 2.5, and a bottom diameter of 2 Answered by Penny Nom.
	The equation of a circle		2010-06-23
		From Michelle: Write and equation for the circle with a center, (0,0) and a diameter of 12 Answered by Penny Nom.
	An octagonal building		2010-06-23
		From Nancy: I have to submit my approximate sq. meters of an Octagon home in Costa Rica. All I know is all sides are equal. One structure has all sides at 16 feet and the second one has all sides equal at 8 ft. I then have to convert it to sq. meters. Can anybody help me with this? Thank you so much, Nancy Answered by Penny Nom.
	A linear relationship		2010-06-22
		From Laura: The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $300 to drive 480 miles and in June it cost her $460 to drive 800 miles. Question: Express the monthly cost C as a function of the distance driven d, assuming that a linear relationship gives a suitable model. Answered by Robert Dawson.
	Working backwards		2010-06-22
		From Martha: Karen spent all but $8.00 of her savings in three stores. In each store she spent $2.00 less than half of what she had when she went in. How much money did Karen have at the start. Answered by Robert Dawson.
	Selling price, cost and profit		2010-06-22
		From Alex: The profit on a certain television set is 16.5% of the cost price. If the profit is $330, Find: a) the cost price b)the selling price of the television Answered by Penny Nom.
	The height of a triangle		2010-06-21
		From Taylor: how do i find the height of a triangle with a base of 3 and a side of 5 the book says 4 but i cant get that Answered by Penny Nom.
	3 equidistant points on a circle		2010-06-21
		From Brian: We have to line up 3 pins on a lifting bridle to be 120 degrees apart from each other to connect into a lifting assembly. I know pi*d. I know straight lines connecting these points to each other will result in an equilateral triangle. How does one find these points without using a protractor? There must be a formula (formulae) to work this out mathematically. r = 10.5 inches pi*d = 65.9736 3 segments( arcs) = 21.9912 which is the distance along the circumference that the points are from each other. Answered by Penny Nom.
	Geometry in the Woods		2010-06-16
		From cleo: what geometric ideas can you find in the woods Answered by Walter Whiteley.
	A loan		2010-06-16
		From melody: LOAN: 1000 TERM: 2 years INTEREST: 2% (per month) AMOUNT: ??? what is he formula of solving this and what is the answer.. Answered by Robert Dawson.
	Exponential form		2010-06-16
		From charlotte: what is the exponential form of 6x6x6x5x5x5x5= Answered by Robert Dawson.
	1.2731568		2010-06-16
		From angel: is 1.2731568 a natural number a whole number a irrational number or a inter Answered by Robert Dawson.
	What is 13% of $5.99?		2010-06-15
		From Paige: What is 13% of $5.99 ? Answered by Penny Nom.
	Expand and simplify		2010-06-15
		From Alaa: Expand and simplify (x-9)(x+2) Answered by Penny Nom.
	How many gallons do I need to finish filling the tank?		2010-06-14
		From Bruce: I have a tank on it's side. 44" dia. by 72" long, I'm 6" from having tank full. How many gallons do I need to finish filling tank? Answered by Harley Weston.
	Comparing percentages		2010-06-14
		From Anouska: In category A, Annie gave 5 out of 6 responses. I make this 83% I the same category, Adam gave 4 out of 10 responses. I make this 40% Does this mean that Annie gave 43% more responses in this category than Adam? Answered by Robert Dawson.
	A max/min problem		2010-06-12
		From valentin: What is the maximum area of an isosceles triangle with two side lengths equal to 5 and one side length equal to 2x, where 0 ≤ x ≤ 5? Answered by Harley Weston.
	The area of a circle		2010-06-12
		From grier: please, what is the area of a semicircle with arc length 3pi? Answered by Penny Nom.
	Distribution with Fractional Terms		2010-06-11
		From Vincent: Compounded semiannually. P dollars is invested at annual interest rate r for 1 year. If the interest iscompounded semiannually, then the polynomial P(1 + r/2)^2 represents the value of the interest after 1 year. Rewrite this expression without parentheses. Evaluate the polynomial if P=$200 and r = 10%. Answered by Janice Cotcher.
	My phone is "sim locked"		2010-06-10
		From Daniel: Question from daniel: got a phone that says sim locked, it requires 0-9 digit code to get in, how many combinations could there be if you could please list the possibilities, the number can be repeated. Answered by Penny Nom.
	Roosters, hens and chicks		2010-06-10
		From Kamarah: If a rooster is worth 5 coins and a hen is worth 3 coins and chicks 3 together are worth 1 coin, how many roosters, hen and chicks totaling 100 can be bought with 100 coins? notes: you must buy at least one of each type of fowl no fractional fowl chicks are purchased in multiple of 3 find 3 solutions Answered by Penny Nom.
	Graphical Representation of Complex Numbers		2010-06-08
		From Anas: why do we write complex number a+ib as (a,b)? Answered by Janice Cotcher.
	Standard Deviation from a Proportion		2010-06-08
		From silvestre: A large company finds that approximately 17% of all purchases are returned for credit. If the company sells 100,000 different items this year, about how many items will be returned. Find the Standard Deviation. Answered by Janice Cotcher.
	The tires on Helen's new car		2010-06-08
		From Rich: Helen bought a new car with four tires and a full-size spare. If she rotated the tires so that each tire would have the same amount of wear, then how many miles were on each tire when her odometer showed 40,000 miles? Answered by Penny Nom.
	Going to the bike shop		2010-06-07
		From Omi: Marie rode her bicycle from her home to the bicycle shop in town and then walked back home. If she averaged 6 miles per hour riding and 3 miles per hour walking, how far is it from her home to the bicycle shop if her total travel time was 1 hour? Answered by Penny Nom.
	An input-output table		2010-06-07
		From Brian: Make an Input -output table to represent the function. Use 0,1,2,3 as the Domain. f(x)= 3+7x Answered by Harley Weston.
	Using the limit definition		2010-06-06
		From Meagan: Using the limit definition find the derivative of 3/(2x^2) Answered by Harley Weston.
	4 > -3m-7 >= 2		2010-06-05
		From pamela: The question is 4>-3m-7>=2 Answered by Penny Nom.
	11 trillion divided by 309,418,000		2010-06-05
		From Dion: I am struggling to calculate what 11 trillion divided by 309,418,000 is. Answered by Penny Nom.
	(x + a)^2		2010-06-04
		From a: If the 3rd , 4th, 5th terms in the expansion of (x + a)powe "n" are 720, 1080, 810 respectively, then find the values of x, a and n. Answered by Penny Nom.
	Four circles in a square		2010-06-04
		From Daniela: four circles are drawn in a square such that the circles are tangent to each other as shown. find the area of the shaded region. It the goes on to show a diagram with a square and four circles drawn in it. The length of a side of the square is 24. Please help me! Answered by Penny Nom.
	The outside surface area of a U shaped tube		2010-06-03
		From Adolfo: What is the formula for calculating the outside surface area of a U shaped tube? Answered by Robert Dawson.
	The capilano suspension bridge		2010-06-03
		From nida: the capilano suspension bridge in north vancouver is the world's highest footbridge of its kind. the bridge is 140m long . from the ends of the bridge the angles of depression of a point on the river under the bridge are 41 degrees and 48 degrees. how high is the bridge above the river to the nearest metre Answered by Penny Nom.
	A quadratic equation with imaginary numbers		2010-06-03
		From Alissa: I am solving a quadratic equation and I got this far; (x-4+i)(x-4-i)=0 but how do I add the imaginary numbers i know you multiply x by x and then add -4 + -4 but what do you do with the i's? Answered by Penny Nom.
	Compound interest		2010-06-01
		From Kenneth: Hello: I have a question regarding the following compound interest and future value calculation. Year 1 P + rP equals balance after the first year. Year 2 (P + rP) + r(P + rP) equals balance after the second year. Year 3 ? equals balance after the third year. This question is in two parts. 1. What would follow for year three? 2. I know that a pattern will develop. What will it be so that I can determine the extended pattern for following years ? Answered by Penny Nom.
	A cylindrical vessel with belled ends		2010-06-01
		From George: surface area of a vessel with a cylindrical length of 60 feet, a diameter of 10 feet, and with belled ends of 5-foot radius Answered by Penny Nom.
	Who is more extravagant?		2010-06-01
		From likhitha: kunal and ramit have Rs.40 and Rs.50 respectively. Kunal spends Rs.18 and ramit spends Rs.21.Who is more extravagant ? Answered by Penny Nom.
	graph y=(2x^2-3x)e^ax		2010-05-31
		From James: graph y=(2x^2-3x)e^ax Answered by Robert Dawson.
	x/a +y /b =a+b : x/a^2+ y/b^2 =2		2010-05-30
		From smithu: x/a +y /b =a+b : x/a2+ y/b2 =2 solve by using elimination method , cross multiplication, substitution method Answered by Penny Nom.
	Integration of sin^3 (2x)		2010-05-29
		From ascher: how do you integrate this equation ∫ sin^3 (2x) dx Answered by Robert Dawson and Penny Nom.
	Curvature of the Earth		2010-05-29
		From grant: if you have 2 plumb structures 10ft. tall, how far apart will they be when they are 1 inch out of parallel at the top Answered by Tyler Wood.
	A fuel tank with a broken gage		2010-05-28
		From Kinsley: Hello, I have a fuel tank with a broken gage. It is a 2000 gallon tank. The dimensions are 64" dia. x 146" long. The fuel gage doesn't work, so the only measurement I can do is put a stick in it to see what is left. Currently it is at 19". PLEASE NOTE: the tank is laying on its side, meaning the long side is on the ground. So, how do I determine how much fuel is in the tank by the inches remaining? Thank you very much. Answered by Tyler Wood.
	Weighing a 1000 lb cylinder on a 500 lb scale		2010-05-28
		From Jerry: I am trying to weigh a large possibly 1000 lb cylinder on a 500 lb scale, is this possible? If so what is the actual formula to figure out the correct weight? I am told it is possible with the fulcrum method but have not been able to find a formula. Thanks Jerry Answered by Robert Dawson.
	More on a truncated cone		2010-05-28
		From Mike: Question from Mike, a parent: I was reviewing this question and answer: http://mathcentral.uregina.ca/QQ/database/QQ.02.06/phil1.html But I have trouble with this part: Now if we express the radius of the inside circle as r and the outside circle's radius is R, then this means r/R is 911/1728. But earlier we said that the outside radius R is simply w more than the inside radius r, so R = r + 282. That means that r/R = r/(r + 282). Now we can simply solve the equation for r: r/(r+282) = 911/1728 This means r = 314 mm (with rounding). Can I get more detail on the method to solve for r? Thank you, Mike Answered by Penny Nom.
	Odd integers		2010-05-28
		From jack: If x is an odd integer, which of the following must also be an odd integers a) x+1; b) 2x; c) x+4; d) x-1; e) x/2? Please help me to solve this problem. Thank you. Answered by Penny Nom.
	Two problems		2010-05-27
		From debbie: Question from debbie, a parent: hi, i have a daughter and she asked me a maths question I cannot solve. I was just wondering if you can give me the answers plus the working out so I could explain to my daughter, 1. The leftmost digit of a six-digit number N is 1. If this digit is removed and then written as a rightmost digit, the number thus obtained is three times N .Find N. 2. Four friends are racing together down a flight of stairs. A goes 2 steps at a time, B 3 steps at a time. C 4 steps at a time and D 5 steps at a time. The only steps which all four tread on are the top one and the bottom one. How many stairs in the flight were stepped on exactly once? Answered by Penny Nom.
	A comparative report		2010-05-27
		From jo: Question from jo: I have a comparative report and I was confused about how to get the percentage of the current 1st quarter vs. last year 1st quarter, vs. last year of the same month. I hope you could help me, thank you. Example: Food sales: 3Day Sale Event TY: 1,352,293.58 May (Back to School) LY: 1,205,614.31 April (Summer Sale) LY: 1,065,693.40 May 2009 Answered by Penny Nom.
	More on carbon 14 dating		2010-05-26
		From Malachi: I am doing carbon 14 dating and i figured out the rule for taking the percent of the original C-14 to figure out how old it is. how do I work the equation the other way around to find the percent remaining, from how long ago the objects organic mater died Answered by Harley Weston.
	Graphing a linear inequality		2010-05-26
		From Valeie: When graphing a linear inequality, how do you know if the inequality represents the area above the line. Answered by Penny Nom.
	Liquid in a horizontal tank		2010-05-26
		From Brian: I have a 50' long tank by 12' diameter it is lying down on it side with 12" of Liquid in the bottom i need to know how many gallons of fluid this is? Please Help, I was able to calculate out the Triangle but not the Sector! Answered by Harley Weston.
	A square pyramid		2010-05-26
		From Georgia: Question from Georgia, a student: I have been given the following question in a maths assingment, and have so far been unable to answer it. To begin, i am required to draw a square pyramid as follows: 1. draw a 3 dimensional diagram of a square based pyramid 2. label the square base as ABCD, call the vertex H. 3. Mark in E and F the midpoints of AD and BC respectively and O is the midpoint of EF Note: this therefore makes FO = FC this i was fine with, it was the following question that stumped me. 1. if the height of the pyramid is 280m, what is the length of the base? Thanks, Georgia Answered by Chris Fisher.
	A square inscribed in a circle		2010-05-25
		From Middle: what is the perimeter of a square inscribed in a circle of radius 5.0 inches? Answered by Penny Nom.
	What is the speed of the current?		2010-05-25
		From tien: a boat travels upstream, against a current, at a speed of 4 miles per hour. On the return trip, the boat travels downstream, with the current , at 10 miles per hour. the speed of the current remains constant. what is the speed of the current? Answered by Penny Nom.
	How wide a strip has he cut when the lawn is half mowed?		2010-05-24
		From Arib: rectangular lawn has length 40 m and width 30 m. David starts cutting from the outside in. How wide a strip has he cut when the lawn is half mowed? Answered by Penny Nom.
	What is the distance from A to C via B?		2010-05-24
		From vivianne: The distance from A to B is d km and that from B to C is x km. if a bus maintains an average speed of 50km/hr between A and B and 60km/hr between B and C, it takes 3 hours to travel from A to C. If it maintains 60km/hr between A and B and 50km/hr between B and C, the journey takes 8 minutes less. What is the distance from A to C via B? Answered by Penny Nom.
	Math in the workplace: nursing		2010-05-24
		From Taylor: How is math used in the workplace - Nurse Anesthetist? Answered by Penny Nom.
	An optimization problem		2010-05-23
		From Marina: Hello, I have an optimization homework assignment and this question has me stumped..I don't even know A hiker finds herself in a forest 2 km from a long straight road. She wants to walk to her cabin 10 km away and also 2 km from the road. She can walk 8km/hr on the road but only 3km/hr in the forest. She decides to walk thru the forest to the road, along the road, and again thru the forest to her cabin. What angle theta would minimize the total time required for her to reach her cabin? I'll do my best to copy the diagram here:                              10km Hiker_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _Cabin       \                           |                              /        \                          |                             /      f  \                      2km                          /          \                        |                           / theta   \___________________________ /                             Road Answered by Penny Nom.
	The number of gallons of water in a basement		2010-05-23
		From George: A basement with dimensions 68 ft long by 42 ft wide by 10 ft deep is flooded to the ceiling calculate the number of gallons of water in the basement. 70 Answered by Penny Nom.
	Which values of x satisfy (x-2) / (x+4) <7		2010-05-23
		From Rocco: Which values of x satisfy (x-2) / (x+4) <7 Answered by Harley Weston.
	Divisibility by 3		2010-05-23
		From Cathleen: To math central. I have to do a maths extension question that I don't understand. At first I thought I did. It is about the dividing by three. In one part of the question, it asks me to show that the rule of division by three does not work for 23142 with a little 5 down the bottom. What doe base 5 mean? We first thought that the little 5 down the bottom meant multiplying y the power of five. Can you please tell me what it means so I can finish this question? Answered by Penny Nom.
	When will the second truck catch up to the first?		2010-05-22
		From Josie: At 9:00 a.m. a truck leaves the truck yard and travels west at a rate of 45 mi/hr. At 11:00 a.m., a second truck leaves along the same route, travelling at 60 mi/hr. When will the second truck catch up to the first? Answered by Tyler Wood.
	Four digit numbers		2010-05-22
		From tyeisha: Whats all the four digit numbers you can come up with using numbers 0-9 Answered by Tyler Wood.
	The area of a triangle		2010-05-22
		From jose: haw many square feet are in a triangle 30 feet high with a 100 ft base? Answered by Tyler Wood.
	How many bags will it take to fill this?		2010-05-22
		From David: A garden lot..360 square feet and 6 inches deep..you want to fill this with mulch and use 2 cubic. foot bags...how many bags will it take to fill this? Thank you...Dave Answered by Tyler Wood.
	Percentage of Group B's score		2010-05-22
		From Carolyn: If the CONTROL Scorer A scored 5 minutes of Stage 1 sleep, and the compare Scorer B scored 7 minutes of Stage 1 sleep out of the same sample, what is the % similar/same is Scorer B to the Control Scorer A? Answered by Tyler Wood.
	converting y=mx+b into ax+by+c=0 and vice versa		2010-05-22
		From Paulo: converting y=mx+b into ax+by+c=0 and vice versa Answered by Tyler Wood.
	The hypotenuse of a triangle		2010-05-22
		From linda: find the length of the hypotenuse of a triangle with legs of 12in. and 17in. round to the nearest hundredth Answered by Tyler Wood.
	How far is the runner from the starting point?		2010-05-22
		From Richard: A marathon runner runs 6 miles south and then 8 miles east. How far is the runner from the starting point? Answered by Tyler Wood.
	Difference of cubes		2010-05-22
		From Anad: how can we prove a^3 - b^3 is equal to (a-b)(a^2+ab+b^2)? Answered by Penny Nom.
	Extraneous solutions		2010-05-22
		From Joe: Question from Joe, a parent: w+3    2w ----- - ----- = 1 w2-1   w-1 W2 is = w squared                             -4 The answer is w= ------                              3 but have no idea how this was solved. any help is appreciated. Thanks. Answered by Penny Nom.
	A circular oil slick of uniform thickness		2010-05-22
		From Susan: Hi, I have this problem on a homework assignment and just can't seem to figure it out: A circular oil slick of uniform thickness is caused by a spill of 1 m^3 of oil. The thickness of the oil is decreasing at the rate of .001m/h. At what rate is the radius of the slick increasing when the radius is 8. Answered by Penny Nom.
	The low leg height of a shutter		2010-05-20
		From brian: I work for a shutter company and am in need of a formula to figure out what the low leg height would be if given the width of shutter, the high point of arch top and the radius. example would be a 18" wide shutter with a 80" high leg on the right side and a 30" radius. I would need a way to figure what the low leg height (left side of shutter) would be. Or if given width, low leg height and radius what the high side would be? If any of this can be given in laymen's terms it would be much appreciated. Thanks, Brian Answered by Harley Weston.
	The volume of a test tube		2010-05-20
		From Nick: A maths question. I have a test tube (basically a cylinder but with a rounded bottom end) and the measurements are: the diameter or width of the tube is 31mm and the total length of the whole tube is 204mm. The question is: (a) what's the volume of this test tube (rounded to the nearest cubic mm) and (b) what's the capacity of this test tube (rounded to the nearest mL). I need to show the full mathematical workings out of the two, not just the answer. The problem is the circular bottom end of the tube, it isn't flat, that would make it rather "easy"or straightforward but this is a half-circle (like all test tubes are)!! Answered by Penny Nom.
	Percentage increase		2010-05-20
		From Rebecca: Question from Rebecca: In 2008 my land was valued at $84,000. In 2009 my land was re-valued at $235,000.00. What is the percent increase between the two values? I want to be able to express "the value was increased by x%." Answered by Harley Weston.
	A probability tree		2010-05-20
		From Sandy: Children’s meals are being prepared for a large gathering. There is an equal number of chicken, hamburger, and fish meals. Each meal comes with a toy: a ball, a parachute toy, or a Frisbee. There are twice as many balls as Frisbees and an equal number of parachutes and Frisbees. Use a probability tree to show the sample space and determine the probability that a meal consists of chicken or fish and comes with a ball as a toy. Answered by Penny Nom.
	(x+1)(x+2)(x+3)/(x+1)(x+2)		2010-05-19
		From Nazrul: Simplify : (x+1)(x+2)(x+3)/(x+1)(x+2) Which answer is correct: (i) x+3 (ii) (x+2)^2(x+3) Please help me. Answered by Harley Weston.
	Find the speed of the current of the river		2010-05-19
		From paul: a boat travels 100 miles downstream in the same length of time it travels 50 miles upstream. if the boat's speed in still water is 30 mph find the speed of the current of the river? Answered by Penny Nom.
	A fact family		2010-05-19
		From PRISCILLA: ELLIE HAS 12 BOOKS. SHE GIVES AWAY 3 BOOKS. ELLIE HAS _LEFT. _ - _ = _ _- _ = _ _+ = _ _ + _ = _ Answered by Robert Dawson.
	How far am I from the starting point?		2010-05-18
		From jilayna: if i walk 5 miles north, 7 miles east, and 3 miles north again.to the nearest tenth of a mile ,how far,in a straight line, am i from my starting point Answered by Penny Nom.
	A scale model of a city		2010-05-18
		From Briana: Well I have to create a three dimensional city for a geometry project and it requires us to use precise scal factor and well we want to build a medium sized city but our teacher said that If we make or buildings to high our houses would look like super small compared to the tall building were trying to figure out if we were to build a medium sized city what scale factor should we use to make the houses big enough to see and design? Answered by Walter Whiteley and Tyler Wood.
	A quartic equation		2010-05-18
		From Austin: Z^4-10z^2=-9 Answered by Penny Nom.
	How many sq. ft in 2 1/2 ft x 2 1/2 ft?		2010-05-16
		From jim: how many sq. ft in 2 1/2 ft x 2 1/2 ft Answered by Penny Nom.
	A conical pile of gravel		2010-05-15
		From Chuck: If I have a conical pile of gravel 50 feet across at the base and a height of 65 feet and the slope of the side is approximately 60 degrees, how do I calculate the cubic yards? Answered by Robert Dawson.
	88 litres of oil in a cylinder		2010-05-15
		From fella: 88 litres of oil are poured into a drum 40 cm in diameter. find the depth of the oil in the drum. Answered by Penny Nom.
	The value of 1 acre		2010-05-13
		From Rebecca: If 38,121 sq feet equals $19,846.58 at 75% of its current value, what would the value of 1 acre be at 100% of value? Answered by Penny Nom.
	Ratios and proportions with mixed units		2010-05-13
		From Kenneth: Is it incorrect to have a proportion with numbers containing units that are not the same on both sides of the equal sign? Here is an example: $0.07/$1.00 = ?/$0.89 is okay, but if I add a different unit (20 ounces) to one side of the equal sign but not the same unit to the other, is the proportion incorrect? $0.07/$1.00 = ?/$0.89/20 ounces. In order to determine the missing amount, the calculation becomes ($0.07/$1.00)/$0.89/20 ounces = $?, but is this proportion correct with the units as they are? Two dollar-units cancel leaving dollar/ounces equals $?/ounces, but is this correct? Answered by Robert Dawson.
	The circumference of a circle		2010-05-12
		From Morgan: find the circumference of a circle with radius 8. im having trouble i just don't understand. thanks for your help i really do appricate it. Answered by Penny Nom.
	The sum of twice a number and 6 is 8		2010-05-12
		From MAE: THE SUM OF TWICE A NUMBER AND 6 IS 8 . FIND THE NUMBER Answered by Penny Nom.
	Sammy and his motorboat		2010-05-11
		From Jordan: Sammy owns a motorboat that travels 4 miles/hour in still water. It goes 12 miles upstream and 12 miles back again (downstream) in a total of 8 hours. Find the speed of the current of the river. Answered by Penny Nom.
	The product of two consecutive even integers		2010-05-11
		From Terry: The product of two consecutive even integers is 14 more than their sum. Find the integers. Answered by Penny Nom.
	Modelling an underpass		2010-05-11
		From Sue: An engineer at the Ministry of Transport is creating the plans for a new road. This road will cross the path of a busy railway track so it will be necessary to built an underpass for this road. This underpass will be in the shape of a parabolic arch. The specifications include: -the road must be at least 10 m wide and it must have shoulders at least 2 m wide on either side of the road. -there must be a clearance of 3 m over all areas of the road. What quadratic equation could you use to model this bridge. Answered by Penny Nom.
	x and y intercepts		2010-05-10
		From connor: im not sure how to find the x intercept in questions like 2x+3y-12=0 5x-2y-12=0 if you could show me how to find the x and the y intercepts out of this equation that would be great thanks connor Answered by Penny Nom.
	Six numbers from 1 to 20		2010-05-10
		From martine: how many different combinations can be made from numbers 1 to 20 using them only once in a six number scale Answered by Penny Nom.
	The area of a triangle		2010-05-10
		From Saeed: Show that: Area of triangle = half of the perimeter of the triangle times the radius of the inscribed circle !!!!!!!!!!!!!!! Answered by Penny Nom.
	Painting a hemispheric dome		2010-05-09
		From Jone: If a hemispheric dome has a height of 20m and it take 5 gallons of paint to paint the floor, how many gallons of pain are needed to paint the inside of the dome? Answered by Penny Nom.
	The nth term		2010-05-09
		From Jessica: what is the nth term of 3, 9, 19, 33, 51 please help Answered by Walter Whiteley.
	The altitude of a triangle		2010-05-08
		From kylie: the vertex angle of an isosceles triangle is 57 degrees 24 minutes and each of its equal sides is 375.5 feet long. find the altitude of the triangle Answered by Penny Nom.
	The dimensions of a driveway		2010-05-07
		From Josh: Dave and Jane have a new rectangular driveway. The perimeter of the driveway is 168 feet. The length is 12 feet longer than three times the width. What are the dimensions of the driveway? Answered by Penny Nom.
	An angle in a triangle		2010-05-06
		From Morgan: Question from Morgan, a student:                  t         8   t      t 8           t    78   t        t               t   t                        t t   x                       t ttttttttttttttttttttttttt               10 I'm having trouble solving for x I'm not sure where to start ( the ones in the middle of the triangle are both degrees) thanks in advance for your help i really do appreciate it Answered by Penny Nom.
	A 22 litre bag of topsoil		2010-05-06
		From Blanche: I do a fair amount of gardening when the weather permits. Just wondered if anyone call tell me what a 22 litre bag of topsoil would weigh and how to convert that. My husband says 20 lbs. I say noway I think it's more. Thanks to whomever can help me. :) Answered by Penny Nom.
	Line of sight		2010-05-06
		From David: I live in St. Joseph, Michigan and there is an ongoing argument regarding line-of-sight over the horizon. Standing on a 200 foot high bluff here, people swear they can see the top of the Willis (nee Sears) Tower in Chicago, which is about 1653 feet high. It is my contention that this is actually a "refracted reflection" and not direct-line-of-sight. So, to settle the argument, I'd sure like some simple explanation for this, even if-and I hope not-I am incorrect. David Answered by Harley Weston.
	A loop		2010-05-05
		From Amir: what is loop theory in algebra? Answered by Chris Fisher.
	The equation of a circle		2010-05-04
		From crystal: find the standard form of the circle with center (-2,3) and tangent to the line y=1 Answered by Penny Nom.
	Interest		2010-05-04
		From RW: If you earned 55.00 for a year in your savings acct. The account pays 0.5 % interest. How much money did you initially have in the savings account. Answered by Penny Nom.
	Working together		2010-05-04
		From Felicia: Sarah takes 3 hours longer to paint a floor than it takes Kate. when they work together it takes 2 hours. How long would each take to do the job alone? Answered by Penny Nom.
	A wishing well		2010-05-04
		From Cassie: I'm trying to construct a Wishing Well made of treated 2x4 wood, so the actual measurement is 3 1/2 by 1 1/2. The well is going to be three feet in diameter. I'm trying to construct this as circular as possible, what angle should the wood panels be cut at? Answered by Penny Nom.
	A quadratic equation		2010-05-03
		From Millie: (3x-4)(5xplus2)=0 Answered by Penny Nom.
	Tiling a floor		2010-05-03
		From guadalupe: how many 16 x 16 inch square tiles fit into a 10 x 10 foot space? Answered by Harley Weston.
	f(x) = x + 3		2010-05-02
		From becca: Find the function value F(1)if f(x)=x+3 Answered by Penny Nom.
	40 miles at 50mph		2010-05-02
		From gill: if a car travelled 40miles at 50mph, how long would it take? Answered by Penny Nom.
	How much concrete do I order?		2010-05-01
		From Carol: We are having a block foundation installed under our house that measures 80ftX28ft and I need to know how to figure out how much concrete to order. The footer will be 12 inches wide and 4 inches deep all the way around the house. How do I figure the square footage of my house? I know area = LxW but do I double that since there 4 sides to my house? Answered by Penny Nom.
	Odd numbers with no repeated digits		2010-05-01
		From jameka: How many odd numbers can be written from the set {2,3,4,5,6} if no digits may be used more than once? Answered by Penny Nom.
	The rejection region		2010-05-01
		From Mong: In Tests of Hypothesis, what is the decision when the test statistic we compute from the sample information is exactly equal to the critical value? that is, we reject null hypothesis or do not reject it? Thanks! Answered by Chris Fisher.
	When are the cars exactly 40 miles apart?		2010-05-01
		From Maryanne: A car traveling east at 45 mph passes a certain intersection at 3pm. Another car traveling north at 60mph passes the same intersection 25 minutes later. To the nearest minute, figure out when the cars are exactly 40 miles apart. Answered by Penny Nom.
	A geometric progression		2010-04-30
		From Kalyani: sum of infinite geometric progression is 9 and common ratio is 1/10 then sum up to 8 terms is? Answered by Chris Fisher.
	The diameter of a circle		2010-04-30
		From Jimmy: If I have a straight line with a known length and decide to make a circle out of this know length how would I calculate what the diameter of the circle would be Answered by Penny Nom.
	How many terms are in the simplified expression?		2010-04-29
		From Anu: The expression (x+y+z)^2006 + (x-y-z)^2006 is simplified by expanding it and combining like terms. How many terms are in the simplified expression? I've spent hours on this. pls help!!! Also, is answering these questions a paid job for you or is it volunteer work? I'd like to join an ask and answer site for math, (when I grow up) How does one go about doing that? Answered by Robert Dawson.
	The rate of change of y with respect to x		2010-04-29
		From Tom: I just had a quick calc question about wording that wasn't ever addressed in class. When the book says "the rate of change of y with respect to x", should it be considered how fast y is changing in comparison to x? I ask because the textbook says that "y is changing 3 times faster than x, so the rate of change of y with respect to x is 3." I'm use to rate being like velocity, as in units of distance per units of time. All we're told in class is that it's the slope of the tangent line, I was hoping you could clarify for me what exactly is meant by the wording of a "rate of change of something with respect to something else". More specifically, what "rate" and "with respect to" mean within this context? Thanks for your time Answered by Harley Weston.
	A trig equation		2010-04-28
		From Steve: 2cos^2(X)-2sin^2(x)+1=0 Answered by Harley Weston.
	The width of a picture frame		2010-04-28
		From Daniel: The frame of a picture is 28 cm by 32 cm outside and is of uniform width. What is the width of the frame if 200 cm ^2 shows? Answered by Penny Nom.
	A circle inscribed in a square inscribed in a circle		2010-04-28
		From jouniella: A square is inscribe to the first circle, then another circle is inscribe to the square. Find the ratio of the 2 circles. Answered by Penny Nom.
	A rectangular laundry room		2010-04-28
		From Cynthia: a laundry room is shaped like a rectangle. the area of the room is 6 square yards. the perimeter is 10 yards. The room is longer than it is wide. How wide is the room? How long it the room? Answered by Penny Nom.
	cos(x) = sin(x - 1)		2010-04-28
		From alex: In the equation cos x = sin x-1 for -pi/2 A: solve for x graphically B: solve algebraically and prove the solution is correct. Alex Answered by Penny Nom.
	y = - log(x)		2010-04-28
		From Alex: y= - log(x), where y = 4.3 solve for x. Answered by Harley Weston.
	Sales taxes in Quebec		2010-04-28
		From carole: I work at a company where we use transport companies and we often get credits on their invoices. I need to know how to subtract the sales taxes from these credit amounts. (5% TPS and 7.5% TVQ). Is the equation: Amount / 1.05 = then this amount / by 1.075=? Answered by Penny Nom.
	Adding five positive integers that have a product of 48		2010-04-27
		From Lorraine: What is the smallest possible sum that can be obtained by adding five positive integers that have a product of 48. Answered by Chris Fisher.
	The "vertex" of a cone		2010-04-27
		From Tom: By definition a vertex is a point where three edges meet in a 3 dimensional object. My ten year old son argues that the point at the top of a cone is not a vertex since it does not fit the definition. He got the answer wrong on a test recently but insists that he is right. I need a mathematician to answer this for him. Answered by Robert Dawson and Chris Fisher.
	One in twenty as a percentage		2010-04-27
		From jim: Please advise how I work out a gradient of say 1-20 one in twenty as a percentage % Answered by Penny Nom.
	A rectangular prism		2010-04-27
		From Savannah: A rectangular prism is made of exactly 8 cubes. Find the length, width, and height. Answered by Penny Nom.
	Rolls of sod		2010-04-27
		From judy: My yard is 35 feet by 29 feet. I want to put sod on the entire yard. The rolls of sod are 9 square feet. How many rolls of sod will I to complete the job? Answered by Penny Nom.
	Polyhedra and polygons		2010-04-26
		From Brandon: What is the difference between a polyhedra and a polygon? Answered by Penny Nom.
	Tiles		2010-04-25
		From Pat: how many 6 inch tiles will I need to purchase for an area that is currently covered with 351 4 inch by 4 inch tiles. Each box of 6 inch tiles states it contains 16 pieces and covers 4 square feet. Answered by Penny Nom.
	A rectangular garden		2010-04-25
		From Billy: Tanisha wants to make a rectangular garden with a perimeter of 38 feet. What is the greatest area possible that tanisha can make the garden? Answered by Penny Nom.
	The height of a flag shaft		2010-04-25
		From Sarah: A man standing 20metres away from a tower observes the angles of elevation to the top and bottom of a flag shaft standing on the tower as 62degrees and 60degrees respectively. Calculate the height of the flag shaft.' Answered by Penny Nom.
	Commission		2010-04-24
		From TAHIR: I want to pre-determine the amount of commission on sale of my product which will be the amount that I shall have to pay . For example, the price is $ 600and commission 5% . 1) I calculate commission on 600 @ 5% = $ 30 When added $ 600 the retail price = $ 630 2) But on $ 630, 5% commission = $ 31.50 So we make a loss of $ 1.50 . 3) Again if we add this $ 1.50 to $ 630 the price = 631.50 But the commission when calculated does not tally and we make a loss of $ 0.075. Please let me know how to determine the commission beforehand so that it matches our accounts. Answered by Penny Nom.
	Bags of cement		2010-04-24
		From Carol: How many bags of portland cement will I need for an area that is 18' x 31' with a thickness of 4". The bags weigh 94 lbs if that is necessary. Thank you for any help. Answered by Penny Nom.
	Algebraic fractions		2010-04-22
		From rory: 3x/(x²-64)+4/(x²-6x-16)= Answered by Robert Dawson and Harley Weston.
	A table of values		2010-04-22
		From Donna: Complete the table by determining the value of each letter. Explain what rule is used to relate the numbers in the second column (with the heading of y) with those in the first column (with the heading of x). x | y 3 | 5 9 | 23 4 | 8 6 | A 7 | B C | 11 D | 2 I can't figure this out, can you help me? Answered by Robert Dawson.
	4 + 10 + · · · + (6n − 2)		2010-04-21
		From Lan: Find the sum 4 + 10 + · · · + (6n − 2). The answer is 3(n^2) + n. How? Answered by Penny Nom.
	Solving a trig equation		2010-04-21
		From Jason: Please Help! My question is : Find all of the solutions to sin(x/2)+cosx-1=0 Answered by Penny Nom.
	Profit		2010-04-21
		From joyann: a Raleigh road runner 16" unisex bike which cost $892 was sold for $1052.56 calculate A. the profit made on the bike B. the percentage profit Answered by Penny Nom.
	Compound interest		2010-04-21
		From Kenneth: Let's say that an investor has $1000.00 to invest for 3 years at a rate of 5% at compound interest. Here is the formula: M = 1000(1 + 0.05)^3 = $1157.62 If I want to change 1000(1 + 0.05) to (1000 + 0.05*1000) three times in a calculation instead of using (1 +0.05)^3, how would this be done? I cannot get (1000 + 0.05*1000) + (1000 + 0.05*1000) + (1000 + 0.05*1000) to equal $1157.62. I know that 1000(1.05)(1.05(1.05) will produce the answer, but I want to try to use the above non-factored calculation. Answered by Penny Nom.
	If (x, 4) is equidistant from (5, -2) and (3, 4), find x.		2010-04-21
		From abeth: If (x, 4) is equidistant from (5, -2) and (3, 4), find x. Find the point on the y - axis that is equidistant from (-4, -2) and (3, 1). Answered by Penny Nom.
	A 12 foot by 12 foot room		2010-04-20
		From Dominique: The room is 12ft by 12ft. How many yards must be purchased for the carpet? Answered by Penny Nom.
	The length and width of a table		2010-04-19
		From Linda: The length of the top of a table is 2 feet longer than 4 times the width. The area is 72m squared. Find the dimensions of the table. Answered by Penny Nom.
	The median		2010-04-18
		From amper: How could i get the median with this equation f(x)=(x^2+4)3/13 0 Answered by Harley Weston.
	A champagne tower		2010-04-16
		From gabriel: thanks for having something like this up online. My question is how do i build a Champagne Tower that has 290 glasses and 15 stories high. Please help me out. this is for a clarity function. Answered by Robert Dawson.
	Four less than three times a number is 14		2010-04-16
		From David: My daughter has two questions that we could use some help with. First ? Four less than three times a number is 14 Secound? The quotient of -15 and w Answered by Penny Nom.
	The area of semi circle		2010-04-16
		From sagir: how to find the area of semi circle? Answered by Penny Nom.
	A tangent line to a circle		2010-04-15
		From Rhonda: The Greek method for finding the equation of the tangent line to a circle used the fact that at any point on a circle the line containing the reauis and the tangent line are perpendicular. Use this method to find an equation of the tangent line to the circle x^2+y^2=9 at the point (1,2 square root of 2). Answered by Penny Nom.
	Complex roots		2010-04-14
		From Lan: If b and c are real numbers so that the polynomial (x^2) + bx + c has 1 + i as a zero, find b + c. Answered by Penny Nom.
	Polar coordinates		2010-04-14
		From Lan: Given the rectangular equation (x^2)+2x+(y^2)+y=0, find the polar equation. Answered by Harley Weston.
	A three digit entry code		2010-04-14
		From Bryon: The entry code for the executive bathroom is a three-digit odd number with no repeated digits. If you want to try to break in, what is the maximum number of numbers you'll have to try? (Remember that the three-digit numbers cannot start with zero.) Answered by Stephen La Rocque and Penny Nom.
	The width of a regular octagon		2010-04-14
		From Denise: I need to know the measurement of an octagon on the inside from flat side to side side, not angle to angle, where the sides are 10 feet long. Answered by Penny Nom.
	Rational root theorem		2010-04-14
		From deciree: How could i get the value of x with this equation: 1/13x^3+12x/13=1/2 Thank you! Answered by Harley Weston.
	A sequence		2010-04-13
		From Essence: hello, I am having trouble doing my math homework. It asks me to write the first five terms of each sequence .I can not figure it out because it is a fraction. The Problem Is: {2n+1/2n} Answered by Penny Nom.
	A geometric sequence		2010-04-13
		From glen: A geometric sequence has a first term of 0.1024, a second term of 0.256, and a middle term of 156.25. how many terms are there in the whole sequence? i know that r=2.5 but i dont know how to find how many terms there are. Answered by Penny Nom.
	A conical pile of gravel		2010-04-13
		From Chassity: The gravel pile is 120' around at the base and goes up 20' high at the peak. How many tons or yards of gravel in that pile? Answered by Penny Nom.
	What are the dimensions of the box?		2010-04-13
		From Steven: The longest rod that will just fit inside a rectangular box, if placed diagonally top to bottom, is 17 inches. The box is 1 inch shorter and 3 inches longer than it is wide. How much must you cut off the rod so that it will lie flat in the bottom of the container? What are the dimensions of the box? Answered by Robert Dawson.
	Two problems		2010-04-13
		From Dorothy: 1. Explain why the number 123, 456, 789, 101, 112 cannot be a perfect square. (Hint: What is the units digit?) 2. A substance doubles in volume every minute. At 9:00A.M., a small amount is placed in a container. At 10:00A.M., the container is just full. At what time was the container one-eighth full? Answered by Robert Dawson.
	Counting by sevens		2010-04-13
		From Larry: Lee counted by 7's beginning with one of the whole numbers from 1 through 7, until Lee passed 1000. If Lee counted three of the following numbers, which number did Lee NOT count? a. 107 b. 184 c. 534 d. 641 Answered by Robert Dawson and Penny Nom.
	Two overlapping circles		2010-04-12
		From Scott: There are two circles, big circle with radius R and small one with radius r. They intersect and overlap in such a way that the common area formed is 1/2 pi r^2 (half the area of the small circle). The Question is: suppose we have known the radius r of the small circle, and the distance between the two circle centers, what should the radius R of the large circle be? Answered by Chris Fisher.
	Integrate the ((4th root of x^3)+1) dx		2010-04-12
		From Bridget: integrate the ((4th root of x^3)+1) dx Answered by Tyler Wood.
	Volume of a cylinder		2010-04-12
		From Louis: A hockey puck has a diameter of 7.5 cm and a thickness of 2.5 cm. What is its Volume? A copper pipe with an inside diameter of 1cm. is 4m long. What volume of water (in cm3) can it hold? Answered by Tyler Wood.
	6 items are taken 3 at a time		2010-04-12
		From Kristen: Explain the three different scenarios that could occur and would result in the following number of outcomes when 6 items are taken 3 at a time. Give real-life examples. a. 63 = 6 x 6 x 6 = 216 possibilities b. 6! / (6 - 3)! = 6 x 5 x 4 = 120 possibilities c. 6! / (6 - 3)! 3! = 20 possibilities Answered by Tyler Wood.
	A rectangle problem		2010-04-12
		From Charlene: The ratio of the width to the length of a certain rectangle is equal to the ratio of its length to the difference between its length and twice its width. If the area of the rectangle is 25cm^2, then what are its dimensions? Present a non- algebraic solution? Answered by Tyler Wood.
	The perimeter of a rectangle		2010-04-12
		From Charlene: The area of a rectangle is 390m^2. If its length is increased by 10m and its width is decreased by 6m, then its area does not change. Find the perimeter of the original rectangle. Answered by Tyler Wood.
	Vapor trails		2010-04-12
		From Frank: I'm not sure if this is a proper question to ask so if I have misdirected my question I apologize and no response is expected. I am trying to figure out a way to measure vapor trails from my back yard in Phoenix Arizona. If I used a compass and spread each point of the compass to the start and finish of the vapor trail I would have the angle of an isosceles triangle. The other two angles would be identical. The height of from the inverted base of the triangle to my standing spot on the ground would be about 35,000 feet. I'm thinking that there should be a way to figure out the length of the inverted base (vapor trail) but I'm devoid of mathematical skills and can't seem to figure out how to do this. Is it possible to figure out the length of a vapor trail using this method or do you have an easier way to accomplish the task? Any help you could offer would be most appreciated. Thanks....Frank Answered by Harley Weston.
	4 books at the book fair		2010-04-11
		From Erin: You have enough money to buy 4 books at the book fair. There are 6 books to choose from. How many different combinations are there. Answered by Tyler Wood.
	Exactly two lines of symmetry		2010-04-11
		From debbie: i am looking for a quadrilateral with exactly two lines of symmetry. please help! thank you. Answered by Tyler Wood.
	Two max/min problems		2010-04-11
		From Amanda: 1) Find the area of the largest isosceles triangle that canbe inscribed in a circle of radius 4 inches. 2)a solid is formed by adjoining two hemispheres to the end of a right circular cylinder. The total volume of the solid is 12 cubic centimeters. Find the radius of the cylinder that produces the minimum surface area. Answered by Tyler Wood.
	A cube with twice the volume		2010-04-11
		From Woojin: From a given cube create another cube with twice the volume. the cube: 5cm each. Answered by Tyler Wood.
	Working backwards		2010-04-11
		From adel: alice gave reggie and freddie as much money as each had already.reggie in turn gave alice and friddie as much money as each already had in negotiable treasury notes. freddie gave alice and reggie as much money as they each had. in the end they each had the same sum, 24000.00.how much money did they each in the beginning? Answered by Penny Nom.
	One red ball and one black ball		2010-04-11
		From Sammy: The probability of drawing a red ball out of a bag containing one red ball and one black ball is ½. An experiment is conducted where these two balls are placed in a bag before drawing a ball out. A ball is drawn five times from the bag containing the two balls. Each of the first five times the red ball was drawn out. What is the probability that the sixth draw will be a red ball? Explain your answer. Answered by Penny Nom.
	The median		2010-04-10
		From Ayssa: The median of the data set (24, 35, 30, 12, 40, x) is 28. What is the value of x? Answered by Robert Dawson and Penny Nom.
	The derivative of y=x^x		2010-04-09
		From David: So, its David, and I was wondering about the derivative of y=x^x. I have often seen it be shown as x^x(ln(x)+1), but when I did it through limits it turned out differently. Here's what I did: It is commonly know that df(x)/dx of a function is also the limit as h->0 of f(x+h)-f(x)/h. To do this for x^x you have to start with lim h->0 ((x+h)^(x+h)-x^x)/h. The binomial theorem then shows us that this is equal to lim h->0 (x^(x+h)+(x+h)x^(x+h-1)h+...-x^x)/h This is also equal to lim a->0 lim h->0 (x^(x+a)+(x+h)x^(x+h-1)h...-x^x)/h. Evaluating for a=0 you get lim h->0 (x^x+(x+h)x^(x+h-1)h...x^x)/h Seeing as the last 2 terms on the numerator cancel out you can simplify to a numerator with h's is each of the terms, which you can then divide by h to get: lim h->0 (x+h)x^(x+h-1)... which when evaluated for h=0 gives us: x(x^(x-1)). This statement is also equal to x^x. This contradicts the definition of the derivative of x^x that is commonly shown. So, my question is: can you find any flaws in the logic of that procedure? I do not want to be shown how to differentiate x^x implicitly because I already know how to do that. Answered by Robert Dawson.
	Splitting the mortgage payment		2010-04-09
		From Jodi: What percentage of $2,500.00 (monthly mortgage payment)would I pay per month - if I make $2,200.00 per month and my partner makes $6000.00 per month? Thank you. Answered by Tyler Wood.
	If a third is a fourth of a number, what is the number?		2010-04-08
		From larry: If a third is a fourth of a number, what is the number? Answered by Penny Nom.
	Backfilling the area around the outside of a pool		2010-04-07
		From Craig: I need to get dirt to fill an area 25ft x 25ft (think of a giant sandbox) HOWEVER, there is a pool 18 ft round in the middle of it. We need to backfill the area around the outside of the pool 6" deep. How much dirt will I need? Answered by Penny Nom.
	The area of a field of view		2010-04-07
		From Frank: I know we have a field of view of 90 degrees and the distance we can cover is 6 miles. What is the area we can cover/view? A formula would be nice to have since the diameter or distance of the wedge area can change and the degree of the field of view can also change. Thank you and I look forward to hearing from you. Frank Answered by Penny Nom.
	A model for the population of a Canadian city		2010-04-07
		From jess: Let t^2 represent t-squared. The population of a Canadian City is modelled by: f(t) = 12t^2 + 800t + 40,000, where t is the time in years. When t= 0, the year is 2007. a) According to the model, what will the population be in 2010? B) In what year is the population predicted to be 300,000? Answered by Penny Nom.
	Does 1= 0.9999....?		2010-04-07
		From Asia: Does 1= 0.9999....? There seems to be different opinions on this. Answered by Robert Dawson.
	An isosceles trapezoid is inscribed in a circle		2010-04-06
		From Abby: An isosceles trapezoid whose bases have lengths 12 and 16 is inscribed in a circle of radius 10. The center of the circle lies in the interior of the trapezoid. Find the area of the trapezoid Answered by Penny Nom.
	Related rates and a rectangular sponge		2010-04-06
		From Heather: A rectangular sponge is increasing its length at 4cm/min, decreasing its width at 2cm/min, and increasing its height at 3cm/min. When its length, width and height are 40, 30, and 20 respectively, find the rate of change of volume and surface area. Answered by Penny Nom.
	A max min problem		2010-04-06
		From Terry: The vertex of a right circular cone and the circular edge of its base lie on the surface of a sphere with a radius of 2m. Find the dimensions of the cone of maximum volume that can be inscribed in the sphere. Answered by Harley Weston.
	The derivative of cos^3x		2010-04-06
		From Erson: Find y' of the given function: y = cos^3x. Answered by Harley Weston.
	Body measurements		2010-04-06
		From Amirul: Recently I'm proposing my research question to my teacher for my extended essay. I'm an IB student. My research question is regarding the estimation of human in buying trousers through reference of neck. What does the relation between the diameter of the neck and the diameter of the waist? I want to see how far does the estimation theory is true for different type of people with different BMI(body mass index).. But teacher said that it is golden ratio...so nothing interesting... =( really??? But i search on net.... state that my idea seems do not have any relation with the golden ratio so far..... i just want ask you... am I able to perform in my extended essay if i continue with this research question?? Answered by Robert Dawson.
	Fitting a sofa through a doorway		2010-04-06
		From Yvonne: Hi, I would be most grateful if you could help me, because I have no idea how to work this out! I am moving from a house to a flat, and the doors in the flat are 70 cm wide. I have a sofa 88 x 88 x 215. Will it go through the door if we tip it sideways at an angle? Thanks, Yvonne Beck Answered by Robert Dawson.
	The volume of a berm		2010-04-05
		From jim: a berm 6 ft wide x 112 ft long 18 inches high at center x 18 inches down to 0 front and back as a taper...how much soil do I need? Answered by Penny Nom.
	A regular hexagon and an equilateral triangle in a circle		2010-04-05
		From Beth: A regular hexagon and an equilateral triangle are both inscribed in the same circle so that the hexagon and the triangle share three vertices. The radius of the circle is 10cm. What is the difference between the area of the hexagon and the area of the triangle? Answered by Chris Fisher.
	A roll of polythene		2010-04-04
		From Mary: I have an area of 54square metres to cover how many rolls of 2m x 50m polythene do I need Answered by Penny Nom.
	Sand falling off a conveyer		2010-04-02
		From Katherine: sand is falling off a conveyer onto a pile at the rate of 1.5 cubic feet per minute. The diameter of the base is approximately twice the altitude. At what rate is the height of the pile changing when it is 10 feet high? Answered by Penny Nom.
	Pyramids and parallelograms		2010-04-01
		From Vivi: Hi, my name is Vivi, and math teacher is giving a geometry test. I tend to forget how to find the surface area and volume of triangular pyramids and parallelograms. Do you have a way of remembering how to find the surface area? Answered by Harley Weston.
	A ratios problem		2010-04-01
		From Jules: 1a) If 2/3 of the boys and 3/4 of the girls at a party are dancing, what is the ratio of boys to girls, if all the dancing couples consist of a boy and girl? b) If the total number of the boys and girls of the party is 153, how many boys are at the party? Answered by Penny Nom.
	Total tax		2010-03-31
		From Keli: if the gst in Ontario is 5% and the pst is 8% the total tax would be 13%. How come the total tax is 1.13? Shouldn't it be 0.13? Answered by Robert Dawson and Tyler Wood.
	1/1+1/2+1/3...		2010-03-31
		From Mohd: you explained the way of getting the summation of 100 series numbers but what is the summation of the numbers 1/1+1/2+1/3+1/4+1/5.............................+1/100 Answered by Robert Dawson.
	Tiling a floor		2010-03-31
		From shane: a floor in a house is 12'6" in width and 10'4" in length. Tiling the floor with each tile 5" on each side. First express the square footage into an improper fraction. Second express the area of each tile in square feet. Third how many tiles needed to tile the floor. Fourth explain how answers relate to real world Answered by Harley Weston.
	The diagonals of a rectangle		2010-03-30
		From Tabatha: The diagonals of a rectangle are 8 units long and intersect at a 60 degree angle. Find the dimensions of the rectangle. Answered by Penny Nom.
	A system of equations		2010-03-30
		From samantha: the equations of two lines are 6x-y=4 and y=4x +2.what is the value of x in the solution for this system of equations? Answered by Penny Nom.
	A 25% discount		2010-03-29
		From Susan: If something costs 1.00/per lb. and that price includes a 25% discount. How do you calculate what the price was before the discount? Answered by Penny Nom.
	Sample size		2010-03-29
		From Rae: What sample size was needed to obtain an error range of 2% if the following statement was made? "75% of the workers support the proposed benefit package. These results are considered accurate to within + or - 2%, 18 out of 20 times. This seems like a straight forward question but I'm getting it wrong. Could you please help me out even just the set up would be appreciated so I can see if that's where I'm going wrong. Thanks Answered by Harley Weston.
	The sides of a 30-60-90 triangle		2010-03-29
		From maris: Find the sides of a 30-60-90 triangle whose perimeter is 6. The solution must use systems of equations using 3 variables. Answered by Penny Nom.
	The perimeter of a lake		2010-03-29
		From Bill: I am trying to figure out the approx. perimeter of a 22 acre lake. Can I solve this by calculating the sq. ft. in 22 acres and then take the square foot to find out the sides of a 22 acre square and then add the sides together to get the perimeter? Answered by Penny Nom.
	The area of a polygon		2010-03-28
		From John: Question from John, a student: How do you find the area of a polygon with any given amount of sides? Answered by Harley Weston.
	A trig identity		2010-03-27
		From Anne: Prove: (2tanx-sin2x)/2sin^2x=tanx Answered by Penny Nom.
	Coins in 3 parking meters		2010-03-27
		From Zena: There are 227 coins altogether in 3 parking meters. The second meter has 37 more coins than the first meter. The third meter has twice as many coins as the second. How many coins in each meter? Answered by Penny Nom.
	The height of a hill		2010-03-26
		From Amber: A surveying team determines the height of a hill by placing a 12-foot pole at the top of the hill and measuring the angles of elevation to the bottom and to the top of the pole. They find the angels of elevation. Describe how to find the height of the hill. Answered by Penny Nom.
	A radio tower		2010-03-26
		From Alex: The height of a radio tower is 450 feet, and the ground on one side of the tower slopes upward at an angle of 10 degrees. How long should a guy wire be if it is to connect to the top of the tower and be secured at a point on the sloped side 110 feet from the base of the tower? Answered by Harley Weston.
	y = kx		2010-03-26
		From harold: if y =kx and y =4/15 and x=2/3, what is value of k Answered by Penny Nom.
	Conditional probability		2010-03-26
		From Sandy: In a certain school, it is known that 80% of the students use the internet for school projects, 60% use e-mail on a regular basis, and 90% use the internet for school projects or for e-mail on a regular basis. A student from this school is selected at random Determine the probability that the student used e-mail, given that the student used the internet for school projects. Sandy Answered by Penny Nom.
	A ladder against a wall		2010-03-25
		From amber: the distance from the bottom of the ladder to the building is18 foot less than the length of the ladder.How high up the building is the top of the ladder if that distance is 1 ft less than the length of the ladder? Answered by Penny Nom.
	A negative times a negative		2010-03-25
		From priya: why is minus into minus plus? Answered by Harley Weston.
	A proof by induction		2010-03-25
		From SAMUEL: use mathematical induction to proof that each statement is true for every positve integer n 1/1.2+1/2.3+1/3.4+......1/n(n+1)=n/n+1 Answered by Robert Dawson.
	A roll of paper		2010-03-25
		From keith: how many yds of paper for a roll with a width of 6.875 and a core of 3 in and a diameter of 40in? Answered by Robert Dawson.
	The angle of intersection between two lines		2010-03-25
		From Madhumitha: How to find the angle of intersection between a line x=249 and another line which is of the form y=m*x+c; Line1 has a slope of infinity so what does the angle of intersection turn out to be? Or how can i find it? Answered by Chris Fisher.
	The line passing through (2,6) and (2,9)		2010-03-24
		From antoinette: the equation of a line passing through the points (2,6) and (2,9)? Answered by Penny Nom.
	GST and PST		2010-03-24
		From z: Hello math Central, What is the math formula and method I can use, IN 1 STEP to extract ONLY both(pst/gst) & or gst TAXES from the total sale/purchase? Answered by Harley Weston.
	A rectangle inscribed in a circle		2010-03-24
		From sadiq: here is the question, in my mathematics book there is equation of the area of the rectangle inscribed in a circle having equation x^2+y^2=a^2 and the area of rectangle is 4xy=4x(a^2-b^2)^1/2 i don't know what is b but a is surely the radius (i want the derivation for the area of rectangle). Answered by Harley Weston.
	How many 5 card hands in a deck of 52 have 2 aces and 3 other cards?		2010-03-23
		From Travis: How many 5 card hands in a deck of 52 have 2 aces and 3 other cards? Answered by Penny Nom.
	The area of a hexagon		2010-03-23
		From Myya: What is the area of a hexagon with the radius of 10ft. Answered by Penny Nom.
	How many 20"X20" tiles do I need to cover 90 sq. ft?		2010-03-23
		From Karen: How many 20"X20" tiles do I need to cover 90 sq. ft. Answered by Penny Nom.
	Modelling the roof of a house		2010-03-23
		From Sandi: This question has been haunting my dreams at night. It states the cross section of the roof of a house is modelled by the function y= -5\12|x-12|+5, where y>0 or y. Now I'm suppose to graph the function. b) Find the slope, height, length of sides, and base of the isosceles triangle. c)Explain what transformation must be applied to the graph of y=|x| to obtain the graph of y= -5\12|x-12|+5, where y>0 or y=0. 1st I put the equation into my calculator and graphed it. I got 10 for the height. We have had 2 sub teachers this past week. The first one told me the height should be 12 the other one told me 5. So I'm really confused. If I use my 10 units as height and the Pythagorean Theorem I get my sides to be 26 units the base 48 and my slope I calc to be 5/12. Both teachers are pretty sure I'm wrong and they are right but we all have different answers. Please help put this problem to rest so I can rest soundly at night. Thank you for your time. Answered by Penny Nom.
	Factorials		2010-03-23
		From Leah: When should you use factorials? Answered by Robert Dawson.
	What is 8.6597 divided by two thirds?		2010-03-22
		From patsy: what is 8.6597 divided by two thirds Answered by Penny Nom.
	A champagne pyramid		2010-03-22
		From Kathy: I have 680 champagne glasses and my pyramid can only be 15 levels high. How many glasses need to be on each level? Is there a formula I can use? Answered by Robert Dawson.
	Sand in an hourglass		2010-03-20
		From Luke: Answered by Harley Weston.
	A quadrilateral with 4 known sides and 1 known angle		2010-03-19
		From samuel: Name: Samuel Status: Student I have a quadrilateral with 4 known sides and 1 known angle, and I'm trying to evaluate the other angles of my quadrilateral. By the law of cosines, I can easily find my opposite angle (using the diagonal as a basis for the equation). However, to find the two remaining angles, I have found no other way so far than to use the other diagonal, which can be found with the equation attached (from geometry atlas). Is there any simpler way? Answered by Robert Dawson and Harley Weston.
	Binomial probability		2010-03-19
		From Rana: According to one study, it has been claimed that 65% of all single men in Montreal would welcome a woman taking the initiative in asking for a date. You decide to challenge this study by performing a little experiment of your own. You randomly select 15 single men from around Montreal and ask them if they would be comfortable with a woman asking them out for a date. If the claim made by the study was true, what is the probability that: a) Exactly 9 men would say yes? b) Exactly 6 men would say no? c) More than 11 men would say yes? d) At most 4 men would say no? Answered by Penny Nom.
	How many zeros?		2010-03-18
		From jeff: 1 light yr is 6,500 billion miles, the galaxy "Andromeda" is 2,500,000 million light yrs, how many zeros are in this equation ? Answered by Robert Dawson.
	Water in a culvert		2010-03-18
		From Chip: Hello, I have a problem to which I know there must be an analytical solution - but as it has been 50 years since I studied math I can't remember quite how to do it!! I have a 12" round culvert in my yard that runs water all year. I would like to be able to calculate the flow through the culvert by measuring the depth of water flowing through and measuring the speed of the current. I can measure the depth and the speed, but I forget how to calculate the cross section of the flow. If you could help I would greatly appreciate it. Thank you Answered by Penny Nom.
	Factors and zeros of a polynoial		2010-03-17
		From Susan: find a polynomial function of degree three with -3 as a zero of multiplicity 2 and 4 as a zero of multiplicity 1. Answered by Tyler Wood.
	Angular velocity		2010-03-17
		From Lindsay: Determine the angular velocity, in radians per second, of a 14-inch car wheel, if the car is traveling at 60 miles per hour Answered by Harley Weston.
	What is the speed of the current?		2010-03-17
		From Carl: If you can row 3 mph in still water and paddle 3 miles upstream and return in 3.6 hours then what is the speed of the current? Answered by Penny Nom.
	A rectangular box packed with cylinders		2010-03-16
		From Laura: There is a cylinder which has a diameter of 10cm and height of 10 cm. Work out the volume of the cylinder. Then in a packed box of 20 cylinders (height of box 10cm) work out the volume inside the box that is not filled by the cylinders give your answer in terms of pi. Answered by Penny Nom.
	Metric prefixes		2010-03-16
		From ali: How do you convert zectometres to yoctometres Answered by Robert Dawson.
	Decimals and fractions		2010-03-16
		From fay: why do we use decimals in place of fractions in everyday life? Answered by Robert Dawson.
	A quadratic equation		2010-03-15
		From rachelle: under certain condition, it is found that the cost of operating an automobile as a function of speed is approximated by a quadratic equation. use the data shown below to find the function. then use the function to determine the cost of operating the automobile at 60mph. speed (in miles per hour) operating cost per mile(in cents) 10 22 20 20 50 20 Answered by Penny Nom.
	Gina's weight was 4/7 of Helen's weight		2010-03-14
		From Eileen: At first, Gina's weight was 4/7 of Helen's weight. Then, Gina gained 3kg while Helen lost 6kg. They are the same weight now. What is Helen's weight now? Answered by Penny Nom.
	Repeating Decimal		2010-03-14
		From Gerald: Find the 1987th digit in the decimal equivalent to 1785/9999 starting from decimal point. Can you give us a short but powerful technique in solving this problem? thanks so much.. Answered by Chris Fisher.
	A red boat and a blue boat		2010-03-13
		From SERENA: Two fishing boats set out at 2pm for some afternoon fishing. Both boats pulled out from the same dock heading in the same direction. The average speed of the blue boat is 30mph slower then twice the speed of the red boat. In two hours, the blue boat is 20 miles ahead of the red boat. Find the rate of the blue boat. Answered by Penny Nom.
	Arc length and Chord length		2010-03-13
		From Darryl: Is there a formula to determine the chord length of an arc knowing only the arc length and the arc depth (sagitta)? I know you can't find the radius with only these two inputs, but can you find the chord length? Answered by Harley Weston.
	Constants and coefficients		2010-03-12
		From lourdes: identify the coefficients, constant term(s), and like terms of the expression. 8x + 9 - 3x 17 - 2a + 5a - 1 7m - 7 + 6m - 6 -10 -15r -22r + 8 Answered by Penny Nom.
	The perimeter of a rectangle		2010-03-12
		From makiah: A rectangle has a perimeter of 12 meters.If each side is a whole number of meters, what are the possible dimensions for the length and width? Answered by Penny Nom.
	A 14 side well house cover		2010-03-12
		From Kenneth: I am 35 yr I am wanting to build a well house cover. I'm trying to figure out how long the pieces need to be and what angle they need to be for a 4 ft dia with 14 side well house. I would love an answer but would also like to know how to figure it in the future. Thanks Kd Answered by Harley Weston.
	More on millions and billions		2010-03-11
		From julio: shouldn't the thousands of millions, tens of thousands of millions, and hundreds of thousands of millions be called what they are? technically they are not billions because billions come after 999,999,999,999 . It would sound better to call the numbers by their real name when economists talk about the national deficit besides mathematics is a very precise science that doesn't admit mistakes. Or am I wrong? I know that in other countries is expressed different than here. I have this question to different people and nobody has a "logical" explanation to it. " that's the way is here in the US" does not explain any thing Answered by Penny Nom.
	Selling lettuce		2010-03-11
		From Mike: Day 1 started with 80 heads of lettuce and x were sold. Day 2 started with two times the number of heads of lettuce that was left over. Again, only x were sold. Day 3 started with 3 times the number of lettuce from what was left over from day 2 and all was sold. What was the # of lettuce sold on each day? Answered by Penny Nom.
	I want to add 4.3%		2010-03-10
		From Brandy: I am trying to find out a total. I have 7,118.00 and I want to add 4.3% to that total. How do I do that. Answered by Penny Nom.
	The nth derivative of x^(n-1) log x		2010-03-10
		From shambodeb: This is a successive differentiation problem by Leibnitz theorem If y = xn-1 log x ; Proof nth derivative y(n) = (n-1)!/x Answered by Harley Weston.
	A 6m ladder is placed against a wall		2010-03-09
		From Trevor: A 6m ladder is placed against a wall making a 56 degree angle with the ground. How far up the wall does the ladder reach? Answered by Harley Weston.
	Selecting 3 students from 16		2010-03-09
		From amper: A class has 12 boys and 4 girls. If three students are selected at random from the class, what is the probability that they are all boys? Answered by Penny Nom.
	An irregular octagon		2010-03-09
		From Gayle: Question from Gayle: I am building an irregular shaped octagon wooden box. The measurements are 291/2 inches by 211/2 inches. Sides are 12 inches. It will be 36 inches high. What would the cutting angles degrees be? Answered by Harley Weston.
	A trig identity		2010-03-08
		From Kim: I am having trouble proving this trig identity (sin^2 x + 2 cos x-1) / 2+cos x - cos^2 x = 1/ (1+ sec x) Answered by Penny Nom.
	Log[f(x)]		2010-03-08
		From sourabh: What is the number of solutions of the equation 9 x 2 - 18 x + 5 = 0 for x, such that the expression log10[(x+1)(x+2)] exists? Answered by Harley Weston.
	The side length of a square		2010-03-08
		From tara: am trying to help my brother's daughter in maths, tomorrow she has maths exam 1. Area of sq. picture is 441 sq.cm what is the length of its side. Answered by Penny Nom.
	0.999 ^ (500)		2010-03-07
		From debra: I just need to know how to solve the following problem without using a calculator: .999 ^ (500). I know the answer is .606, I just want to do it by hand since I can't use a calculator on my test. Answered by Penny Nom and Claude Tardif.
	The integral of X^3/the square root of 1-x^2 dx		2010-03-07
		From William: The integral of X^3/the square root of 1-x^2 dx. Answered by Harley Weston.
	Two overlapping circles		2010-03-07
		From Hayden: I have two circles of equal size. The radiuses of the circles are 30ft. The two circles are positioned 40ft apart and I need to find the area where they overlap. Answered by Harley Weston and Tyler Wood.
	Cooling		2010-03-07
		From Lori: If a house is always at 20 degrees celsius. Water (tea) boils at 100 degrees celsius. 5 minutes later the tea was 70 degrees celsius. Use an equation to predict the temperature after 20 minutes. Answered by Tyler Wood.
	Prove A intersect B =X iff A = X and B = X		2010-03-06
		From Gloria: how would you prove A intersect B =X iff A = X and B = X Answered by Tyler Wood.
	The line joining (3,4) and (-5,-6)		2010-03-06
		From Patric: Find the condition that the point (x,y) may lie on the line joining the points (3,4) and (-5,-6) Answered by Penny Nom.
	The distance travelled by a minute hand		2010-03-06
		From Patric: How much distance will the minutes hand of length 14mm of a clock cover in moving from 5 to 10? Answered by Penny Nom.
	Redwood Park and Glendale Park		2010-03-05
		From Shaun: Question from Shaun, a student: Redwood and Glendale Parks are each surrounded by 100 yards of fencing. The are of Redwood Park is 25 square yards more than the area of Glendale Park. If both parks are rectangles, what is the measurement of each rectangle? Answered by Harley Weston.
	How many people in total came to the museum that day?		2010-03-05
		From simon: 1354 people attended exhibition A and 1427 people attended exhibition B. 79% of people attended both exhibitions. How many people in total came to the museum that day Answered by Penny Nom.
	Standard form		2010-03-05
		From Laura: How do I change 3y=4x+1 into standard Ax+By=C standard form. This is my son's schoolwork. I homeschool him. I got the answer to the problem as 3y=4x+1, but it needs to be written in standard form and I know it needs to read 4x-3y=-1, but how do I get that answer into standard form. I need to know how to explain it to him. Can you show me? Thank you so much. Answered by Penny Nom.
	The base area of rectangular prism		2010-03-05
		From Desiree: How do you find the base area of rectangular prism that has 4 cm by 4cm by 6cm ? Answered by Penny Nom.
	If 2 is to 55, then 6 is to ?		2010-03-04
		From patty: Example, If 2 is to 55, then 6 is to ? How do I begin to figure this out, is is an algebra formula? Answered by Penny Nom.
	The area of a new parking lot		2010-03-04
		From nayle: The owner of a parking lot at the beach wants to increase the parking area of the lot. If the owner increases each of the dimensions of the rectangular lot by half its original value, by what factor will the parking lot increase? Answered by Penny Nom.
	The volume of a frusta of a hexagonal based pyramid		2010-03-04
		From sarah: Volume of a frusta of a hexagonal based pyramid Answered by Penny Nom.
	At what time would Joan catch Jo?		2010-03-04
		From Rusty: If Jo left his house at 6:30am traveling at 5mph and Joan left the same house 7:00am traveling at 8mph, at what time would Joan catch Jo? Answered by Penny Nom.
	Lissajous curve		2010-03-03
		From Nikki: I'm interested in information about a particular mathematical figure. My memory is that it is called a "liciju figure", but obviously my spelling of this is incorrect because a google search of this and it's variants has revealed nothing. I believe it's related to the Moebius strip and probably connected with radio waves. It is used as the logo for our national broadcaster (The Australian Broadcasting Corporation) and you see exactly what I'm talking about by going on their website: www.abc.net.au. I have tried contacting them directly, but have received no response in over a month now! Answered by Harley Weston.
	A related rates problem		2010-03-03
		From Amanda: A circle is inscribed in a square. The circumference of the circle is increasing at a rate of 6 inches per second. As the circle expands, the square expands to maintain the tangency. Determine the rate at which the area of the region between the circle and square is changing at the moment when the cricle has an area of 25(pi) square inches. Answered by Penny Nom.
	The dimensions of a rectangle		2010-03-03
		From Kirsten: A rectangle is twice as long as it is wide. Its area is 128 square meters. What are the dimensions of the rectangle? Answered by Tyler Wood.
	A diagonal of an octagon		2010-03-02
		From cody: I have an octagon 3ft tall by 3ft wide. What are the lengths of the diagonal lines to the vertical and horizontal lines (b and b)? Answered by Penny Nom.
	Sketch the graphs of the following		2010-03-02
		From musaf: without detailed plotting of points,sketch the graphs of the following showing relevant information on the graphs: a) y=(x-3)2 +5 b)y=4x-x2 Answered by Penny Nom.
	An octagon garbage storage bin		2010-03-02
		From sharon: I am trying to make a octagon garbage storage bin and i need to know the measurement of the outer and iner sides i can't get them to fit together what am i doing wrong Answered by Penny Nom.
	Two adjacent rectangular dog pens		2010-03-01
		From Janet: Clint is constructing two adjacent rectangular dog pens. Each pen will be three times as long as it is wide, and the pens will share a common long side. If Clint has 65 ft of fencing, what are the dimensions of each pen? Answered by Penny Nom.
	The area of a trapezoid		2010-03-01
		From mariah: the height of a trapezoid is 6 centimeters. one of the bases is three times the height, and other base is four times the height . find the area of the trapezoid Answered by Penny Nom.
	Zeros of a polynomial		2010-03-01
		From Gavin: Suppose the polynomial R(x) = a_9x^9+a_8x^8+...+a_1x+a_0 has real coefficients with a_9≠0. Suppose also that R(x) has the following zeros: 2, 3, i Using this info, answer the following. a. What is another zero of R(x)? b. At most how many real zeros of R(x) are there? c. At most how many imaginary zeros of R(x) are there? p.s. I used _ for subscript thanks so much Answered by Harley Weston.
	2+3 =10 and 7+2=63 and ...		2010-03-01
		From brenda: if 2+3 =10 and 7+2=63 and 6+5 =66 and 8 +4 = 96 then 9+7+ ?????? its driving me crazy !! Answered by Penny Nom, Claude tardif and Melanie Tyrer.
	How many CDs and videos did the store sell?		2010-03-01
		From dawn: A used book store started selling CDs and videos. In the first week,the store sold 40 used CDs and videos,at 4.00 per CD and 6.00 per video.The sales for both CDs and videos totaled 180.00 she wrote a system of equations to represent the situation.Then she graph the system of equations thanks- Dawn Answered by Tyler Wood.
	The binomial distribution		2010-02-27
		From Jessica: A small mobile phone retailer has found that one of their phones has a 12% probability of being faulty and a replacement having to be provided for the customer. They have just received a trial order for 10 phones from their biggest customer who will take their business elsewhere if 20% or more items are faulty. i) what is the probability that they will lose their biggest customer? Answered by Penny Nom.
	The hypotenuse		2010-02-27
		From Dannielle: how do you find the hypotenuse if a=8 and b=6? Answered by Penny Nom.
	A 25 foot ladder reaches a window 20 feet high		2010-02-27
		From Tanner: a 25 foot ladder reaches a window 20 feet high. how far is the ladder from the building? how far must the foot of the ladder be moved to lower the top of the ladder by four feet? Answered by Tyler Wood.
	Compound interest		2010-02-27
		From Allison: Have $1000.00 in saving account compound annual interest rate 6% please calculate what it is worth 3 years, 5 years and 10 years? Answered by Tyler Wood.
	Proportionality		2010-02-27
		From Nazrul: If a is proportional to b then how can I prove that (a^2-b^2) is proportional to ab. Please show me the process in details. Answered by ms. Dame and Tyler Wood.
	Four dots are randomly placed on an 8x8 grid		2010-02-26
		From bobbym: Four dots are randomly placed on an 8x8 grid, compute the probability that no row or column contains more than one dot. Answered by Claude Tardif.
	Ordering fractions		2010-02-26
		From jessie: I'm having alot of trouble with orderig fractions from least to greatest! I'm in 5th grade....and my problem is, 5/8,1/2, and 3/4 I need to know HOW to order them.........can anyone give me a simple explanation? Answered by Penny Nom.
	Ordering fractions		2010-02-26
		From Brianna: I'm a seventh grader and we're learning about fractions. How would you list the numbers in order from least to greatest? The options: A. 9/14 , 17/28 , 11/21 B. 17/28 , 9/14 , 11/21 C. 9/14 , 11/21 , 17/28 D. 11/21 , 17/28 , 9/14 Answered by Penny Nom.
	If the earth were covered completely with water		2010-02-25
		From don: If the earth were covered completely with water (over Everest) how many gallons would it be?? Answered by Penny Nom.
	The test for some disease is 99% accurate		2010-02-24
		From baaba: Assume that the test for some disease is 99% accurate. If somebody tests positive for that disease, is there a 99% chance that they have the disease? Answered by Chris Fisher.
	A linear relationship		2010-02-24
		From Mel: This table shows the linear relationship between an aeroplane's height (above sea level) and the outside air temperature. h (cm) 120 340 480 600 1040 T (degrees C) 14.28 12.96 12.12 11.4 8.76 Find the gradient and vertical intercept of the function. Write the formula for T. Answered by Penny Nom.
	A mixture problem		2010-02-24
		From Nathan: How many gallons of 60% solution must be added to 40 gallons of a 10% solution to produce a 20% solution? Answered by Penny Nom.
	Is 0.1234567891011.... periodic?		2010-02-23
		From Adriana: 0.1234567891011.......Is this fraction periodic ? Answered by Penny Nom.
	Dividing between between two charities		2010-02-22
		From Latoya: a 149,000 estate is to be divided between two charities so that one charity receives 18,000 less than the other. How much will each charity receive? Answered by Penny Nom.
	How many triangles...?		2010-02-22
		From deciree: Given 12 points, no 3 of them on a line with 6 red, 4 blue and 2 green points. a) How many triangles have vertices all the same color? b)How many triangles have vertices with each vertex a different color? c)How many triangles have at least one green vertex? thanks to lorraine! Answered by Penny Nom.
	A ratio		2010-02-22
		From manoj: in a dept there are 350 employees and in the other there are 158 find ratio Answered by Penny Nom.
	A geometric sequence		2010-02-22
		From Kelsey: _, 2, _, _, 250, _ i don't know how to fill in the missing terms Answered by Penny Nom.
	A student wants to take four courses		2010-02-21
		From deciree: A student wants to take four courses. She has 11 courses to choose from: 6 sophomore level and 5 freshmen level. Each course is available at 8,9,10,11 am. a)if the student wants to take 2 freshmen and 2 sophomore courses, how many choices she have? b)If she wants to alternate these courses, freshmen,sophomore,freshmen,sophomore, how many choices does she have? Answered by Lorraine Dame.
	A paper tube		2010-02-21
		From shailesh: How can i estimate weight of paper tube from size. i have paper tube inner diameter : 22mm, thickness : 2mm, length : 14mm. so how can i got weight of paper tube? Answered by Harley Weston and Tyler Wood.
	15% profit		2010-02-21
		From daviann: calculate the cost price,given selling price=$304 percentage profit=15% what is the answer? Answered by Penny Nom.
	A perfect square		2010-02-20
		From george: can this number 400....006 be a perfect square . how to solve problems like this. Answered by Chris Fisher and Tyler Wood.
	The game of 24		2010-02-20
		From haley: hello.... we have these very hard make 24 stumpers. i am stuck on one.... how can you make 24 using the numbers 7-7-13-18?? thanks! Answered by Claude Tardif.
	15 men can do a piece of work in 7 days		2010-02-20
		From Kenneth: If 63 books cost $126, what will 125 books cost? If 15 men can do a piece of work in 7 days, in how many days can 21 men do the same work? Answered by Penny Nom.
	Frank makes picture frames		2010-02-20
		From Carol: Frank makes picture frames his revenue from sales is R=$13.60x for frames sold. The cost making frames is C=$5.80x+$120 for frames made. What is the minum number of frames Frank must make and sell in order for his revenue to be greater than his costs. Answered by Penny Nom and Melanie Tyrer.
	An algebraic equation with fractions		2010-02-19
		From Ingrid: What is the solution set of the equation x over x plus 4 = 1 over x plus 3 = 28 over x to the 2nd power - x- 12? Answered by Penny Nom.
	Triangles		2010-02-19
		From Wiliam: A box contains one 2 inch rod, one 3 inch rod, one 4 inch, and one 5 inch rod. What is the maximum number of different triangles that can be made using these rods as sides? Answered by Penny Nom.
	1/6 x 5 x 12 = what		2010-02-19
		From dana: 1/6 x 5 x 12 = what Answered by Lorraine Dame.
	Fahrenheit and celcius		2010-02-19
		From Carol: Zack is packing for a trip to Scotland. He read that the average temperature in the Summer is 18degrees C during the day, and 7 degrees during the night. What is the difference between the high and low temperatures in degrees Fahrenheit? (F=9/5C=32) Answered by Lorraine Dame.
	7 odd numbers		2010-02-19
		From mike: Hello there, Problem: find 7 odd numbers who sum is equal to 30. Hint*My professor said it's possible to add 7 odd numbers and get 30 for an answer! and he said we can use Negative and rational numbers but no decimal or fractions. So is there anyway of solving this? Please get back to ASAP! thanks. Answered by Harley Weston and Tyler Wood.
	What is the height of this box?		2010-02-19
		From Carol: A rectangular box with a volume 0.75 cubic meters, Length 1.5 meters and width 0.4 meters. What is the height of this box. Answered by Tyler Wood.
	30.0 km per hour		2010-02-19
		From Diana: if a car travels 30.0 km per hour, how many km will it go in 2.0 hours? How far will it go in 15 minutes? Answered by Tyler Wood.
	The vertices of an equilateral triangle		2010-02-19
		From Emma: If two of the vertices of an equilateral triangle are (2,1) and (6,5), what are the two possible coordinates of the third side of the triangle? Answer in radical form. Answered by Tyler Wood.
	A code on my pedometer		2010-02-19
		From Jacqui: Hi I need to break a code on my pedometer. I have only 3 digits 1 2 and 3 but need to fill a 5 digit code. I have tried to find answers but they seem to relate to if the digits are only used once. I can use them in any order and repeated as many times. How many possibilities are there and is there an easy way to run through them. Many thanks Answered by Tyler Wood.
	A prism and a pyramid		2010-02-19
		From Juanita: What is the relationship between the volume of a prism and a pyramid with congruent base areas and heights? Answered by Tyler Wood.
	The perimeter of a square		2010-02-18
		From richard: My question is: In yards what is the perimeter of a piece of land totaling 6.2 acres. This land is a perfect square. Answered by Melanie Tyrer.
	The equation of a circle		2010-02-18
		From AHMED: find the equation to the circle with centre at the point (1,-1) and touching the straight line 5x+12y=7. Answered by Penny Nom.
	A magic square		2010-02-18
		From Mika: place the integers from -5 to +10 in the magic square so that the total of each row, column, and diagonal is 10. Answered by Tyler Wood.
	Substitution method		2010-02-17
		From Melodie: 7x - 4y = -10 4y= x-2 Answered by Tyler Wood.
	The center of a rectangular room		2010-02-16
		From Diana: Consider a rectangular room, 15 feet wide, 30 feet long and 12 feet high. What is the exact distance from any of the 8 corners of the room and its geometric center? Can you write a generic formula for such a distance? And if we keep the same proportions on all dimensions, can you write an expression for the same distance as a function of the floor perimeter? Answered by Penny Nom.
	Square poles		2010-02-16
		From Steve: If 1 pole=16.5', and you have an area that is 146 sq. poles, how many sqaure feet would you have? I calculate that to be 146(16.5)X146(16.5)=5,803,281 sq. feet Is that correct? I am told I need to divide by 146, which makes the answer 39,748. I do not understand why I need to divide by 146.... Answered by Penny Nom.
	4-digit positive numbers		2010-02-15
		From marjon: Find the sum of all the 4-digit positive numbers with no zero digit. Answered by Penny Nom.
	The dimensions of a flag		2010-02-15
		From dawn: a state flag was twice as long as it was wide and had an area of 288 sq inches, what were its, dimensions Thanks Answered by Penny Nom.
	The difference of the two numbers		2010-02-15
		From Steve: The difference of the two numbers 'abcdef ' and ' fdebca ' is divisible by 271. prove that b = d and c = e. Answered by Claude Tardif.
	The price before tax		2010-02-15
		From dawn: the sale tax on a cape was 6%,and total price with tax was $92.75,what was the price of the cape? Answered by Penny Nom.
	The first five terms of a sequence		2010-02-14
		From Joanne: Find the first five terms of the sequences with the nth term given as follows. n^2+3n Answered by Penny Nom.
	What time did susan go to bed?		2010-02-14
		From Sophia: Susan woke up at 7:42 Am to get ready for school. She slept for 10 and 1/3 hours. What time did she go to bed? Answered by Stephen La Rocque.
	Can a line segment curve over two planes?		2010-02-14
		From Graham: I am working on a math fair project. Can a line segment curve over two planes? Such as, if I had a three dimensional L bracket and I drew a line segment on it with a marker starting on the bottom of the L and had it curve around the corner and up the top, would it still be considered one line segment? Or is that two line segments? Is there a rule that a line segment can only occupy one plane? Thank you. Graham Answered by Chris Fisher.
	Substitution		2010-02-14
		From Izayah: what is 3 ways to find the meeting point of y=2x+4 and 3x+y=7 by making 2 table and using a graph Answered by Stephen La Rocque.
	Birds and cats		2010-02-13
		From Sophia: While visiting a pet store, you notice that there are only birds and cats in the cages. You can't help but wonder how many of each animal there is in the yard. But when you ask the store manager how many of each animal he has, he refuses to give a direct answer. He says there are 16 animal heads and 42 animal feet. How many birds and cats are there in the pet store? It said to show all your work. Explain in words how you found your answer. Tell why you took the steps you did to solve the problem. Answered by Penny Nom.
	Least common denominator		2010-02-13
		From Priscila: 3/8 + 4/5 + 7/3 + 9/10 = ? Thank you for your assistance. Priscila Answered by Penny Nom.
	Integration of cos (x^2+y^2) dx dy		2010-02-12
		From anna: How do you evaluate the integration of integration of cos (x^2+y^2) dx dy? Answered by Tyler Wood.
	Melting snow		2010-02-11
		From Cyndi: How long will it take for 5 feet of snow in an area of 17 by 12 to melt at 35 degrees and cloudy. Answered by Robert Dawson.
	A square corner		2010-02-11
		From Trevor: I am building a new house and wish to set it out on site with the use of profile boards and string. I want to be certain it is correct in terms of squareness. I have a vague idea that the square on the hypotenuse should be equal to the sum of the squares of the other two sides. I get a little lost here and need some help. The building is a rectangle measuring 40x30 feet to exterior brickwork. I guess that the length of the hypotenuse should be exactly the square root of the combined squares of the two sides. Using the above measurements could you give me calculations from nuts to soup as to the correct length of the diagonal. And what adjustments are needed if everthing is not in accord. Trevor. Answered by Robert Dawson.
	The distance from a chord to an arc		2010-02-11
		From matt: hello, I have to layout a radius without being able to pull from the center my radius is 3819.53 feet and i have a chord length of 275.59 feet if i broke that up into 25.05 feet sections how would i calculate the lengths from my chord to that radius? Answered by Robert Dawson.
	An isosceles triangle		2010-02-11
		From Kim: I am given the length of the two legs of an isosceles triangle (8), and the base angles are 30 degrees...I am asked to find the area of the triangle with only this information Answered by Tyler Wood.
	|-3|-|-4|		2010-02-10
		From Nick: I have another question. This is how i solved it and i know its suppose to be a negative. z= |-3|-|-4| Answered by Penny Nom.
	Combining fractions		2010-02-10
		From Nick: Combine the fractions 2m/t + 5/mt Answered by Penny Nom.
	The angle at which the road is inclined		2010-02-10
		From abeth: a mountain road drops 5 m for every 22 m of road. Calculate the angle at which the road is inclined to the horizontal to the nearest degree. Answered by Penny Nom.
	The other two sides of a right angle triangle		2010-02-09
		From ayesha: how to find the other two sides of right angle triangle when length of one side and angle of other side is given i.e 45 Answered by Penny Nom.
	Mixed numbers and multiplication		2010-02-08
		From Nick: Can you explain how this works, I have been going at it for hours and have a test friday and just cant get my head around the question 3 1\4 * 1/7 * 8 I have to express in lowest terms Answered by Penny Nom.
	Order of operations		2010-02-07
		From addie: (3+10) x 10 - 8 x 4 = Answered by Penny Nom.
	A sequence		2010-02-07
		From Shalev: hi, i had a job interview yesterday. it had mathematical questions. couldn't solve 1. i m obsessed with it. please find out what the answer is.. it goes like this: 2,4,5,5,8,6,_,_,14,8 thank u very much Answered by Claude Tardif.
	23 correct out of 28 as a percentage		2010-02-05
		From Renay: What is the correct way to figure a percentage like 23 correct out of 28? Answered by Penny Nom.
	A dirt berm		2010-02-05
		From casey: My question is two fold. I want to build a dirt berm that is 95 feet long and 8 feet high which has a 45 degree angle on each side of the slope. My first question is how wide will the berm end up being? Second question is how many cubic yards of dirt will I need to get? Thanks! Answered by Harley Weston.
	I want to convert my glaze percents into grams		2010-02-05
		From linda: I am a potter. I want to convert my glaze percents into grams. ex. 20% of 20 lbs would equal how many grams? is there a formula to figure this? Answered by Penny Nom.
	The perimeter of a semicircle		2010-02-04
		From Sarah: The perimeter of a semicircle is doubled when the radius is increased by 7. Find the radius of the semicircle. Answered by Tyler Wood.
	Three digit odd numbers		2010-02-04
		From Rebecca: Question from rebecca, a student: how many three digit odd numbers can be formed using the digits 1,2,3,4,5,6 without using any digit more than once? Answered by Tyler Wood.
	Fencing a garden		2010-02-04
		From kris: How many meters of fencing do i need to enclose a garden if the yard is 26 meters long and half as wide? Answered by Penny Nom.
	Bending a wire to form shapes		2010-02-04
		From Geraldine: a wire bent into the shape of a square encloses an area of 25cm squared. then the same wire is cut and bent into two identical circles. what is the radius of one of the circles round to the nearest hundred Answered by Penny Nom.
	A sector of a circle		2010-02-04
		From trisha: Given a circle with a radius of 6 inches. Find the area of the sector that is formed by an arc of 36 degrees. Round your answer to the nearest tenth of an inch. Answered by Penny Nom.
	Consecutive even integers		2010-02-03
		From cassandra: find 2 consecutive even integers whose sum is 34 find 3 consecutive even integers such that 3 time the middle interger is 10 more than the greatest. Answered by Tyler Wood.
	Mixing oil		2010-02-03
		From Andrew: A dealer wishes to produce 300 gallons of oil worth 40cents a quart. He has oil worth 36cents a quart and oil worth 52cents a quart. How many quarts of each should he mix? Answered by Penny Nom.
	Two bus routes		2010-02-03
		From kiyah: from 4:30 pm to 6:30 pm the route 1 bus stops every 12 min at the gym's bus stop. the route 2 bus stops there every 15 min. if both buses are now at the stop and schedule is kept, how long will it be before both buses will be at the stop again? Answered by Penny Nom.
	A snail on an elastic band		2010-02-03
		From Joe: A snail starts crawling from one end along a uniformly stretched elastic band. It crawls at a rate of 1 foot per minute. The band is initially 10 feet long and is instantaneously and uniformly stretched an additional 10 feet at the end of each minute. The snail maintains his grip on the band during the instant of each stretch. At what points in time is the snail (a) closest to the far end of the band, and (b) farthest from the far end of the band? Answered by Robert Dawson.
	A piece of string 8 inches long is cut in two pieces		2010-02-02
		From Susan: If you have a piece of string 8 inches long and cut it in two pieces. Then take the pieces and forms each into a square such that the area of each squares added together equals 2. How long are the sides of the squares? Susan Answered by Penny Nom.
	Scale factor		2010-02-02
		From Darlene: A towers actual height is 300m. An architect makes a scale drawing using a scale factor of 0.0001 A) how tall is the tower in the drawing? B) if the drawing was 4cm high, what would the scale factor be? Answered by Penny Nom.
	1/a + 1/b + 1/c < 1		2010-02-01
		From Mrityun: suppose a,b and c are natural numbers such that 1/a + 1/b + 1/c < 1. Prove that 1/a + 1/b + 1/c < = 41/42. Answered by Penny Nom and Claude Tardif.
	The area of a hexagon		2010-02-01
		From Vicki: I need to find out the area of a hexagon (please explain thoroughly; I'm not the best at math) and why/how that particular formula works. Also, it would be nice if there was an example question with a series of steps (as in not just finding the area and being given the information to do so) that involved both the perimeter and area of a hexagon. Answered by Robert Dawson and Harley Weston.
	Everything in a cube 2 miles long?		2010-01-31
		From Naresh: in a book, i got to read this : Is it possible to pack the entire population of earth and everything that was created by humankind in a cube whose edges are 2 miles long ? Is it possible? Thanks. Answered by Stephen La Rocque.
	The height of a roof		2010-01-31
		From carl: Width of my roof I am building is 5M at baseline, and the pitch is 40%. What will the height be, and how can I work this out in the future. Answered by Penny Nom.
	An impossible isosceles triangle		2010-01-31
		From Hailey: An isosceles triangle has one angle that measures 50 degrees and another that measures 70 degrees. Why can't this triangle be drawn? Answered by Penny Nom.
	A 3D cardboard cupcake		2010-01-30
		From Margaret: Hi, I'm an art student and I'm attempting to build a 3D cupcake out of cardboard. I want it to have a circular base of 8.5 inches and sides that are 7'' tall and slope outward so the top of the base is 29'. The top with the frosting would be a detachable lid made from a cone with a base circumfrance of 29". My problem is how to cut the side so they will slope out, I'm pretty sure there needs to be a curve, however I don't how to calculate the degree of it. Ideally I want the sides to be a single piece of cardboard. I also don't know how to calculate the arc needed to make a cone who's circular base's circumfrence is 29''. Thanks, Margaret Answered by Stephen La Rocque.
	A decrease in travel time		2010-01-30
		From Mike: if a 100 mile trip averages 50 miles per hour, how much distance does one need to travel at 90 miles per hour to decrease travel time by 10% Answered by Stephen La Rocque.
	Aggregate must for a road base		2010-01-30
		From Bryan: How many cubic yards of aggregate must be ordered for a road base 16 in. thick and 2 miles long with a top width of 30 ft, if the side slopes are one on one, or 45 degrees Answered by Stephen La Rocque.
	An integral		2010-01-29
		From amr: find the value of the following integral:- (1+x)power (-1/2) dx Answered by Robert Dawson.
	1^3 + 2^3 + 3^3 +4^3 ... n^3 = ?		2010-01-29
		From ireimaima: Hi.. Can u please help me with this question.. I find that when i test eg: n=2 for n (n+1) /4, it seems that it does not giving me the right answer of 1^3 + 2^3 = 9 but 3/2... i'm confuse..can u please help me..thanks so much Prove that: 1^3 + 2^3 + 3^3 +4^3………………………………..n^3 = n (n+1) /4 Answered by Penny Nom.
	Is it a square?		2010-01-29
		From Manick: I have a question. how to find whether a given integer is a perfect square or not? Answered by Robert Dawson.
	Working with decimals		2010-01-29
		From linda: Write 3 numbers that are between the following: 2.15 meters and 2.17 meters Answered by Harley Weston.
	An isosceles triangle		2010-01-28
		From Jazzy: An isosceles triangle is a 2 congruent (equal) sides. Of the third side is three times the length of the congruent side(s), and the perimeter is 75 cm, find the length of all three sides of the triangle Answered by Penny Nom.
	Linear growth		2010-01-27
		From S.: I. Linear Growth: Suppose that the town has a fixed increase in population growth number of population increase each year. Choose the amount of population growth each year = 200 (Hint: Choose a whole number for your growth rate, rather than a percent.) a) Fill in the following chart: Year (t) Population (P) t = 0 (2010) 1000 t = 1 (2011) 1000+200=1200 t = 2 (2012) 1000+400=1400 t = 3 (2013) 1000+600=1600 b) Find a linear equation in the form P = mt + b (y = mx + b), which gives the population, P, t years from 2010. . . . Answered by Melanie Tyrer.
	Packing spheres in a given region		2010-01-27
		From MISAEL: IN A VOLUME GENERATED BY TWO TRAPEZOIDS WITH DIFFERENT SURFACE AREAS BUT SHARING THE BOTTOM PLANE: HOW CAN I CALCULATE THE "N" SPHERES WHICH THIS VOLUME CAN CONTAIN? HOW CAN I CALCULATE THE VOLUME OF SPACES IN RELATIONSHIP WITH VOLUME OF SPHERES OR THE TOTAL VOLUME? Answered by Robert Dawson.
	The perimeter of a rectangle		2010-01-27
		From debbie: how many dimensions are there to get a perimeter of 400 feet for a rectangle? Answered by Penny Nom.
	What is the length of my sidewalk?		2010-01-27
		From Les: Name: Les Who are you: Student I have a sidewalk 4"thick,4ft. wide,and I have 2cubic yards of concrete. What is the length of my sidewalk? Answered by Penny Nom.
	A sequence		2010-01-27
		From Haku: if there are 8 dots in the first shape, 13 in the second, 19 in the third, and 26 in the fourth, then what is the formula? Answered by Penny Nom.
	Growth rates		2010-01-26
		From Bhavya: Dear Sir/Ma'am, I read in the text book that the growth rates of these 3 functions are as below- n2/3 < n/lg n < n0.99 I tried the substitution method to check the correctness of this. But it gets really tough as n increase. Is there any simpler way to understand the correctness of these growth rates? Thanks and Regards, Bhavya Answered by Robert Dawson.
	Mill		2010-01-26
		From Kenneth: Is a mill, as it pertains to property taxes, regarded as a unit of measure like a meter or an hour, etc? Answered by Robert Dawson.
	A 30% markup and a 20% sale		2010-01-25
		From stephanie: A car is marked up 30% from its wholesale price.During a sale the retail price is reduced by 20% .What percent higher is the sale price from the wholesale price. Answered by Penny Nom.
	A cylinder is cut at an angle of 20 degrees		2010-01-25
		From sanjay: If I have a cylinder with 40mm diameter and I will cut it at an angle 20 degrees so what would be the increased radius or dia.??? of the cylinder Answered by Penny Nom.
	A tunnel from Toronto to Montreal		2010-01-25
		From Dave: I want to make a tunnel from Toronto to Montreal (for example) Something like this http://mathcentral.uregina.ca/QQ/database/QQ.09.09/h/grant1.html ------------- My coordinates are 45.442455,-73.861340 (Montreal) and 43.442455, -79.861340 (Toronto) I need to know how to find arc distance, chord distance and radius What websites can i find for this subject Google has many but they are useless (blah blah) websites LOL Thanks Answered by Chris Fisher and Robert Dawson.
	A triangle in a rectangle		2010-01-25
		From Sangya: The perimeter of the rectangle is 21 inches. The perimeter of the inscribed triangle is 21 inches. Find the dimensions of the rectangle Answered by Robert Dawson.
	Sample variance		2010-01-25
		From shodhan: A series of 100 measurements of a physical quantity have been made that show a random fluctions characterized by a sample variance of 2% of teh mean value. If the series is lengthed to 1000 measurements made under the same conditions, estimates the sample variance of the larger set of data. Answered by Robert Dawson.
	Solving a triangle		2010-01-25
		From Paige: how do i solve a triangle with one angle of 73 degrees, one angle of 32 degrees, and one side of 23cm? Answered by Harley Weston.
	A trig identity		2010-01-24
		From Natalie: hi, i need help proving the following trig identity. i cant seem to figure out how to do it. thanks so much. (1+sin2x)/cos2x = cos2x/(1-sin2x) Answered by Penny Nom.
	An altitude of the triangle intersect a side of the triangle		2010-01-23
		From Sarah: In what type of triangle does an altitude of the triangle intersect a side of the triangle at its midpoint?? -Sarah Answered by Walter Whiteley.
	A sequence		2010-01-22
		From brahmaji: 0 7 26 63 _ 215 342 fill the blank? find the missing number Answered by Robert Dawson.
	A trig problem		2010-01-22
		From vinton: ok there is a triangle labled q, p, r......the three towns p, q, r are such that the bearing of p from q is 070 degrees. r is 10 km due east of q and pq = 5km. (i) calculate correct to one decimal place, the distance of pr. (ii) given that angle qpr 142 degrees, state the bearing of r from p Answered by Penny Nom.
	A 20% markup		2010-01-22
		From barbara: i ran across the same question using 10%, my question is this, I have $751,400, which has been marked up 20%. I want to know the original amount prior to mark up.... can you give me the formula.? Answered by Penny Nom.
	Arrays		2010-01-21
		From Raven: Mary says that the greater the number of counters, the greater the number of different arrays you can form. Give an example that shows that Mary is wrong. Answered by Penny Nom.
	The binomial theorem		2010-01-21
		From Laura: Using the fact that (1 + x)^4 * (1 + x)^9 = (1 + x)^13 show (4C0 * 9C4 + 4C1*9C3 + 4C2*9C2 + 4C3*9C1 + 4C4*9C0) = 13C4 Answered by Harley Weston.
	A 4-digit phone code		2010-01-21
		From pat: my daughter can`t remember her 4-digit code to unlock her phone. she is pretty sure it starts with a 4. can you help us? my brain is locked up Answered by Robert Dawson.
	The volume of a silo		2010-01-21
		From heather: The height of the silo is 30ft and the face that rests against a barn is 10 ft wide. If the barn if 5 ft from the center of the silo what is the capacity of the silo? Answered by Penny Nom.
	Odds and evens in an n by n+1 table		2010-01-21
		From Shankar: The boxes of an n * (n+1) table ( n rows and n+1 columns) are filled with integers. Prove that one can cross out several columns ( not all of them !) so that after this operation all the sums of the numbers in each row will be even. Answered by Robert Dawson.
	A trigonometric equation		2010-01-21
		From Laura: Find the exact solution for sin4t + √3sin4t = 0 for t when (o ≤ t ≤ π Answered by Harley Weston.
	The roots of a cubic		2010-01-21
		From Laura: Consider the equation x^3 + 6x^2 - x = 30. One of the roots is equal to the sum of the other two roots. Find the values of the three roots. Answered by Chris Fisher and Harley Weston.
	The inradius of an icosahedron		2010-01-21
		From fnavroth: Suppose you have an equilateral triangle. The area of the triangle is exactly 1200 square centimetres. Now suppose you have twenty of those triangles. It's possible to assemble those twenty triangles into a closed three-dimensional shape, a regular polyhedron. What would be the volume, in cubic centimetres, of the largest sphere that could fit inside the shape? Answered by Chris Fisher.
	A trig identity		2010-01-21
		From Alesia: How to prove Csc(A+B) = (csc A Csc B)/ (Cot A+ Cot B) Answered by Penny Nom.
	The cube of an integer		2010-01-20
		From Shankar: Can the cube of an integer end with 1985 ones ? Answered by Robert Dawson.
	Angle of incline		2010-01-20
		From Alan: how do I fnd the angle of an incline with a measurement of 0.042 with an adjacent of 1.2mtrs?. Thank You Answered by Penny Nom.
	Loading a headboard in a uhaul		2010-01-20
		From gina: I have a uhaul 9'10" long 4"9"wide 4'7"height I have a headboard 74 inches in height would it fit the box diagonally Answered by Penny Nom.
	The average over two semesters		2010-01-20
		From edy: 6 courses have an average of 100 in the first semester 5courses have an average of 90 in the second semester what is the average of the two semester , method of calculation , how come to have 95.4545 Answered by Penny Nom.
	Area in square meters		2010-01-20
		From Carla: A football field is 120 yd long and 50 yd wide. What is the area of the football field, in square meters? Answered by Penny Nom.
	How long will it take to go 1 mile at 80 mph?		2010-01-19
		From Susann: How long will it take to go 1 mile at 80 mph? Answered by Penny Nom.
	divide the product of 'x' and '3y' by '2z'		2010-01-19
		From shradheya: write all fall using variable ,number, and basic operation 1. divide the product of 'x' and '3y' by '2z'. Answered by Penny Nom.
	The length of a sidewalk		2010-01-19
		From Les: I have a sidewalk 4"thick,4ft. wide,and I have 2cubic yards of concrete. What is the length of my sidewalk? Answered by Penny Nom.
	How high up the building does the ladder reach?		2010-01-19
		From rosenda: A 10 meter ladder is 6 meter from the base of a building. How high up the building does the ladder reach? Answered by Robert Dawson.
	The square root of a large number		2010-01-19
		From darlene: I understand the simple process, like 12 is the root to 144 but what happens when the number is 42563. Without a calculator how does a person figure this out during a timed test? Answered by Robert Dawson.
	Expressing the natural numbers in terms of 4 fours.		2010-01-19
		From Steve: When I was studying mathematics, there were several of us that tried to express the natural numbers in terms of 4 fours. Allowing the use of any known math operation, for example n to the zeroth power is 1.Is there more info on this exercise. This was done mentally, nothing written down. Answered by Robert Dawson.
	A cone circumscribed about a given hemisphere		2010-01-19
		From Neven: The cone of smallest possible volume is circumscribed about a given hemisphere. What is the ratio of its height to the diameter of its base? (G.F.Simmons, Calculus with Analytic Geometry, CH4 Applications of Derivatives) Answered by Chris Fisher.
	Setting up an algebraic equation		2010-01-18
		From jerry: the 1st of 4 books has twice as many pages as the 3rd. The 2nd book has 30 pages less than the 1st. The 4th has 42 pages more than the 1st and 2nd books combined. there are 567 pages in total. How many pages are in each book. Answered by Penny Nom.
	How far apart are the two girls?		2010-01-18
		From benny: Debby and john are looking up at their house from the backyard. From Debby's point of view, the top of the house is at an angle of elevation of 40 degrees From Johns point of view, directly closer to the house, it is 60 degrees. The house is 15m high. How far apart are the two girls? Answered by Robert Dawson.
	The discriminant		2010-01-17
		From Sonjonnia: What is the value of the discriminant? 16x^=16x-4 Answered by Penny Nom.
	A push-button padlock		2010-01-17
		From Vince: Hi, I have a push-button padlock using ten buttons (1-2-3-4-5-6-7-8-9-0). Five digits must be pushed in order to open the lock. Each digit can only be used once. Order is not supposed to matter. How many different possible combinations? And what are they? Answered by Harley Weston.
	A linear equation with the variable on both sides		2010-01-16
		From dog: 4x-9=7x+12 Answered by Penny Nom.
	Cubic feet		2010-01-16
		From deb: 1 room 49x24 1 room 18x18 need 6 inch deep can u convert to cubic feet for me thank you Answered by Penny Nom.
	The adjacency matrix of an undirected graph		2010-01-15
		From Bhavya: Let Cn be the undirected graph with vertex set V = {1,2,3,...,n} and edge set E = {(1,2), (2,3), (3,4),.... , (n-1,n), (n,1)}. Let An be the adjacency matrix of Cn. a. Find the determinant of An. b. Find (An)^2 Answered by Robert Dawson.
	Probability, counting and cards		2010-01-15
		From Julie: Hello, Select a card from the deck(card deck of 52 cards). Place the card back in the deck. What is the probability that both cards will be black? Is it 25/104, 24%? Select a card from the deck. Do not replace the card. Select another card. What is the probability that a red and a face card are the two cards you selected? Is it 2/221, .9%? Remove the red cards from the deck and assume that the remaining cards have been shuffled: select a card from the remaining deck. Place the card back in the deck. Select another card. What is the probability that both cards will be black? Is it 26/26 x 26/26= 1 x 1 = 1 , 100%? Select a card from the remaining deck. Do not replace the card. Select another card. What is the probability that a red 3 and a face card are the 2 cards you selected? Is it 0/26 x 6/26 = 0, 0%? Seperate 12 face cards from the rest of the deck. Assume that the face cards have been shsuffled. Select 3 cards from the pile of face cards. How many different arrangements can be made by selecting 1 of each card (jack, king, queen) from the pile? is it 1/4 x 1/4 x 1/4 x 1/4 = 1/64? How many different ways are there of selecting the queen of clubs, then the king of diamonds, and then the jack of hearts from the pile? Is it 1/12 x 1/12 x 1/12 = 1/1728? Answered by Robert Dawson.
	A schedule for a pool tournament		2010-01-14
		From john: I need to know how to set up a pool tournament 12-14 players playing once a week, either 10-12 weeks whichever works out the best, what players would play what players week one through week ten or twelve? I hope you can help, I cant figure out the formula. thanks John Answered by Victoria West.
	A circular photo in an octagonal frame		2010-01-13
		From Mike: I have a circle photo 18 and one quarter inches round. I want to cut frame for it in a octagon shape. What would the angle and the length of cut be? Mike Answered by Robert Dawson.
	A triangular prism		2010-01-13
		From Breon: what is the formula for a triangular prism? Answered by Robert Dawson.
	Trigonometry and picture hanging		2010-01-13
		From george: The top of a picture 1m high 0.8m from the ceiling. At a point on the ceiling directly in front of the picture, we wish to install a light so that the angle subtended by the picture equals to the angle of depression of the top of the picture. How far out from the wall should the light be installed? Answered by Penny Nom.
	Mixed numbers		2010-01-13
		From Linh: Perform the indicated operations: 6 1/4 + (- 2/3) x 1 1/2 Answered by Penny Nom.
	What percentage am I reducing it by?		2010-01-13
		From Lynda: I need to calculate the percentage of a total number. If my total is 2.9 million and I take out 187,000 what percentage am I reduing it by? Answered by Penny Nom.
	Related Rates Problem		2010-01-12
		From Neven: A woman raises a bucket of cement to a platform 40 ft above her head by means of a rope 80 ft long that passes over a pulley on the platform. If she holds her end of the rope firmly at head level and walks away at 5ft/s, how fast is the bucket rising when she is 30 ft away from the spot directly below the pulley? (G. F. Simmons, Calculus with Analytic Geometry, pg.142) Answered by Penny Nom.
	A proof by induction		2010-01-12
		From Bhavya: Prove by induction that if Xi >= 0 for all i, then (Summation Xi from 1 to n)^2 >= Summation Xi^2 from 1 to n Answered by Penny Nom.
	Motorcycle markup		2010-01-12
		From Harold: I went to a motorcycle dealership and saw a motorcycle costing $11,000. Dealerships have a way of marking up a product about 300%. What is the original cost of the motorcycle before the 300% markup? Answered by Robert Dawson.
	Percentage increase from a negative to a positive		2010-01-12
		From Greg: If a company had a net lost in 2005 of $11,234 and net income of $3231 in 2006, what is the percentage annual growth in income between the two years? Answered by Robert Dawson.
	Improper fractions		2010-01-12
		From Blanca: Between which two consecutive natural numbers does the improper fraction 57/56 lie? Answered by Robert Dawson.
	The triangle inequality		2010-01-11
		From Nazrul: If A and B are any two vectors, then how can I prove that magnitude of (A+B)<=magnitude of A+magnitude of B. Please show me the process in details. Thank you. Answered by Robert Dawson.
	A proof involving real numbers		2010-01-11
		From Amper: Let a,b is an element of real numbers, and suppose that for every x>0 we have a is lesser than or equal to b+x. (a) Show that a is lesser than or equal to b. (b) Show that it does not follow that a is lesser than b. i'm feeling bad of having no idea with this, hope i you can help me. GRACIAS!! Answered by Penny Nom.
	How fast am I walking?		2010-01-10
		From KEVIN: IF I WALK 3 MILES IN 28 MINUTES, HOW FAST AM I WALKING? Answered by Penny Nom.
	Gail and Bill drove to the beach		2010-01-10
		From Nicole: Gail and Bill drove to the beach at an average speed of 50mph. They return home over the same road at an average speed of 55mph. The tip took 30 min less time. How far is the beach from their house? Answered by Stephen La Rocque.
	A set of 5 numbers		2010-01-10
		From Marco: I need to generate in an Excel or other table all possible combinations for a set of 5 numbers with the following criteria: 1.- Numbers can repeat. 2.- Order does not matter. 3.- Numbers may be from 0-9 4.- The sum of all numbers is equal or less than 31. 5.- The sum of all numbers is equal or greater than 10. 6.- One of the numbers is 2. 7.- One of the numbers is 5. 8.- One of the numbers is 7. Marco Answered by Penny Nom.
	The intervals where the function is positive and negative		2010-01-10
		From Ron: Hello I'm trying to find out the intervals where the function is positive and negative. It's for a polynomial function y= -(x+2)^2 (x-2) and y= (x+1)(x+4)(x-3) I have tried the right and left side of each x-intercepts, but I still don't understand the results thank you for your help Answered by Penny Nom.
	(x+3) is a factor of 2x^3-3x^2+px+30		2010-01-09
		From Ruby: (x+3) is a factor of 2x^3-3x^2+px+30. Determine the value of p Answered by Penny Nom.
	A pair of simultaneous equations		2010-01-09
		From Yumiko: Solve the following pair of simultaneous equations. x^2 -4x = y^2-4 3y=2x - 3 Answered by Penny Nom.
	Factoring		2010-01-08
		From jim: i am having trouble with grade 12 factoring in general, i just do not understand it, please help! here is and example of a question: 12ac+28bc-3ad-7bd and it gets tougher from there like 7a(squared)-14ab+7b(squared) any help is greatly appreciated Answered by Stephen La Rocque.
	The domain, range and inverse of a relation		2010-01-08
		From Nazrul: Given that A={-2,-1,0,1,2}, S={(x,y): x belongs to A, y belongs to A and y^2=x}. How can I find the domain and range of the relation S. What is the inverse relation of S. Please show me the process in details. Thank you. Answered by Penny Nom.
	A sports schedule for the ymca		2010-01-08
		From Erich: i have to make a sports schedule for the ymca. i have 7 teams. they need to play each other 2 times. we have 3 time slots per night. i would like them to have an even number of time slots thru the season. one team must have abye each week. can you chow mw the schedul. example time 1 team 1 vs. team 2. time 2 team 3 vs. team 4 time 3 team 5 vs. team 6. team 7 bye week 1. Answered by Victoria West.
	A quilt square		2010-01-07
		From Kimi: A quilt square is stitched along each diagonal to make 4 right triangles. Each diagonal is 12 inches long. ( 1 foot) How many quilt squares can be cut from a piece of fabric that is 8 feet long and 2 feet wide?? Answered by Penny Nom.
	A networking event		2010-01-07
		From Tricia: I have 70 people to go around to 10 tables with 7 at each table. only 6 from each table will rotate each time. There is 1 table monitor that always stays at same table. How do I make the rotation so everyone moves and gets to see all 70 people at the networking event? Answered by Robert Dawson.
	The area of a sector		2010-01-07
		From angelkem: how do you get the area of the circle, the sector, the shaded sector, non shaded sector and its total area if the diameter is 20 cm and each area of the circle is 45 degrees? Answered by Penny Nom.
	Cows, pigs and ducks		2010-01-06
		From Eileen: There are 239 cows and pigs in a farm. The total number of cows and ducks in the farm is 767. There are 5 times as many ducks as pigs. If the farmer can sell each duck for $7.50, how much can he collect from the sale of all his ducks? Answered by Robert Dawson.
	Consecutive odd intergers		2010-01-06
		From keyanna: list five consecutive odd integers, starting with -3 Answered by Robert Dawson.
	Dividing seashells among girls		2010-01-06
		From Eileen: A group of girls collected some seashells from the beach. They tried to divided these seashells equally among them. If each girl received 8 seashells, they would need 5 more seashells. If each girl received 7 seashells, they would have 3 seashells extra. How many seashells did they collect from the beach altogether? Answered by Robert Dawson and Penny Nom.
	A 4 by 4 array		2010-01-06
		From Patricia: Ray makes an array that has four rows of four counters. He wants to make two more arrays using the same number of counters. He wants more than one counter in each row. What two arrays can he make? Answered by Robert Dawson.
	The area of a trapezoid		2010-01-06
		From maureen: the question asks for the area of a trapezoid with parallel sides 5m and 6m and height of 2.5m I have done it by dividing the trapezoid into 2 triangles and reach the same answer as my manual---11.25 sq. m My question...how would you illustrate this? I read this to mean to sets of parallel sides, which would mean it is a parallelogram and not a trapezoid. Any suggestions? Answered by Robert Dawson.
	A trig identity		2010-01-05
		From Christine: I need help with this whole paper here is one problem csc^2x-cot^2x/1-sin^2x=sec^2x by the ^2 i mean squared pleease Answered by Penny Nom.
	A triangular pyramid		2010-01-05
		From ally: how many vertices, edges, faces in a triangular pyramid? Answered by Robert Dawson.
	Cutting a square into four shapes		2010-01-05
		From Tracy: A square with a side of 4 ft needs to be cut into four shapes with the same area. can you find six different was to cut the square? Answered by Robert Dawson.
	Dividing a number which is greater than 1 by a number that is less than 1		2010-01-05
		From Neda: when dividing a number which is greater than 1 by a number that is less than 1, will the quotient be greater than or less than the dividend? Explain. Answered by Robert Dawson and Penny Nom.
	Holiday for 7 golfers		2010-01-05
		From Andy: I am having difficulty scheduling pairings for a forthcoming Golf holiday. There are 7 players and we will be playing 7 rounds - each round will be a 3 ball and a 4 ball. I am trying to work out a schedule that means everyone plays with each other roughly the same number of times (with a minimum of, say, 3 times if possible). Also, we are looking to ensure everyone plays in roughly the same number of 3 and 4 balls. Any suggestions would be much appreciated (we leave in 10 days time). Thank you. Answered by Victoria West.
	tan x= cos 100		2010-01-04
		From Ruby: Given that tan x= cos 100 and x=0-180. calculate the value of x. (All measurements in degrees) Answered by Robert Dawson.
	Using graphs		2010-01-04
		From Armstrong: Given that 50 litres of kerosine costs 6000 nira. Draw a graph and read off; A: The costs of 15 and 34 liters. B: The number of litres that can be bought for 2300 nira. Answered by Robert Dawson.
	How many 4x4 tiles would I need for 10 sq ft?		2010-01-04
		From Chris: how many 4x4 tiles would I need for 10 sq ft Answered by Robert Dawson.
	The maximum area of a rectangle		2010-01-03
		From Mohammad: determine the maximum area of a rectangle with each perimeter to one decimal place? a)100 cm b)72 m c)169 km d)143 mm Answered by Penny Nom.
	Profit increase from 10% to 15%		2010-01-03
		From taha: A shopkeeper sold a pen for $13.20 to a make a profit 10 percent.In order to earn a profit of 15 percent,he should have sold it for? Answered by Penny Nom.
	The height of an arch		2010-01-02
		From kamer: given the radius 1.696 also the cord length 1.958 find the height between the cord and the arch. Answered by Penny Nom.
	The height of a mountain		2010-01-02
		From Aye: In order to decide the height of a remote mountain peak T one measures from two points A and B the angles u and v where the lines AT and BT made with the Horizontal plane respectively. From B, which lies 2400 m from A, one can see A and T by the same point of the compass. Find the height of a mountain peak, if A and B are known to be 950 m and 875 m above sea level respectively, as well as u = 43,8 degree and v = 25,2 degree. Aye Answered by Harley Weston.
	Four digit numbers with no repeats		2010-01-02
		From Daniel: I want to know how many different numbers there would be between the numbers 0000-9999 that do not have any numbers that duplicate or repeat in the number? For example the first number would have to be 0123 and the last would be 9876 (I think) Thanks! Answered by Penny Nom.
	Write a function for the area in terms of x		2010-01-01
		From Almarie: Lauren has 40 feet of metal fencing material to fence three sides of a rectangular garden. A tall wooden fence serves as her fourth side. Write a function for the area of the garden A in terms of x, the width in feet. Answered by Penny Nom.
	The volume of an ellipsoid		2010-01-01
		From Barbara: I need to calculate the volume of an ellipsoid with the dimensions: 102.5 mm x 57 mm x 57 mm = L x W x H I am using the formula V = 4/3 pi (.5L)(.5W)(.5H), but it isn't giving me a reasonable number. Answered by Penny Nom.
	A question from a boat builder		2010-01-01
		From Grant: I am a boat builder, trying to lay out shape of side's elevation. My question is, how do I define the length of a circle's radius, if I know the chord length (20 ft) and the segment of the radius between the chord and the circle is known (7 inches)? Answered by Penny Nom.
	The minimum point of a quadratic		2009-12-31
		From rachel: y=0.0008x^2-0.384x What is the minimum point of this equation? Answered by Penny Nom.
	A linear equation with fractions		2009-12-31
		From Michelle: How would I solve: (-2)(-1/2x + 5) = (-2)(8)? Answered by Penny Nom.
	Chord length given the length & radius of an arc		2009-12-31
		From Wayne: Given the length & radius of an arc, is there a formula that will accurately calculate the chord length? I'm an architectural designer, and would need it explained in layman's terms. Thank you. Wayne Answered by Penny Nom.
	The volume of a frustum		2009-12-29
		From dave: I have a frustum top 1.7r bottom .55r and 2.14 h I have to calculate cement in a silo every week. I am not very good at maths but i have been adding the top and bottom to get an average so as to turn it into a cylinder and i come up with 8.5m3 I know that the correct volume is 9.24 m3. Can you tell me why getting an average width on the top and bottom of a frustum doesn't work. Thank you. Answered by Chris Fisher.
	Linear programming using the Simplex Method		2009-12-28
		From William: A gold processor has two sources of gold ore, source A and source B. In order to keep his plant running, at least three tons of ore must be processed each day. Ore from source A costs $20 per ton to process, and ore from source B costs $10 per ton to process. Costs must be kept to less than $80 per day. Moreover, Federal Regulations require that the amount of ore from source B cannot exceed twice the amount of ore from source A. If ore from source A yields 2 oz. of gold per ton, and ore from source B yields 3 oz. of gold per ton, how many tons of ore from both sources must be processed each day to maximize the amount of gold extracted subject to the above constraints? I need a linear programming solution or algorithm of the simplex method solution. Not a graphical solution. Thanks. Answered by Janice Cotcher.
	Summation Notation		2009-12-28
		From MANDIRA: I want to get the formula for expressing one number by summation of consucutive numbers . Answered by Janice Cotcher.
	Stefan-Boltzmann Law		2009-12-28
		From florence: Hi- I have a college tutor and we are stumped with this question. Assuming a filament in a 100 W light bulb acts like a perfect blackbody, what is the temperature of the hottest portion of the filament if it has a surface area of 6.3 X 10^-5 m^2? The Stefan-Boltzmann constant is 5.67 X 10-4 W/(m^2 X K^2.\ Thank you for your help. If you can only answer one question per day please answer this one and guide me through a solution. Answered by Janice Cotcher.
	Elements of a Matrix		2009-12-28
		From peter: I have a array of 10 by 6 I would like to know how to find the terms 11 12 and tell me de formula the array is: 23 03 01 05 03 08 02 06 03 06 24 04 08 09 04 25 13 15 05 08 26 09 19 12 06 31 22 29 16 21 31 10 24 22 15 32 34 33 27 24 32 32 25 33 30 34 35 34 31 35 Answered by Janice Cotcher.
	The Snail Problem		2009-12-28
		From kishore: A snail starts crawling from one end along a uniformly stretched elastic band. It crawls at a rate of 1 foot per minute. The band is initially 10 feet long and is instantaneously and uniformly stretched an additional 10 feet at the end of each minute. The snail maintains his grip on the band during the instant of each stretch. At what points in time is the snail (a) closest to the far end of the band, and (b) farthest from the far end of the band? Answered by Janice Cotcher.
	Related Rates of a Cylinderical Trough with a Horizontal Axis		2009-12-26
		From Emily: A cylinder is lying on it's side and being filled with water at a constant rate. Let the current height of water be t=0. When t=4, the cylinder is half full. When t=12, the cylinder is completely full. When is the rate of the height change increasing? Answered by Janice Cotcher.
	Finding Density Given Volumetric Thermal Expansion Coefficient		2009-12-26
		From florence: Hi- Please help me to apply the formula for this problem. The coefficient of volumetric for gold is 4.20 X 10^-5 C degrees. The density of gold is 19,300 kg/m^3 at 0.9 C degrees. What is the density of gold at 1050 degrees C. Could you please explain how to get the solution of 18,500 kg/m^3 Thank you for your help Florence Answered by Janice Cotcher.
	Triangles on a base of 2.4 meters		2009-12-26
		From Allan: Please,How do I calculate the height of a triangle when I only know the width of the base line,It is 2.4 mtrs. Thankyou very much. Answered by Penny Nom.
	Truncated Octagonal Prism		2009-12-26
		From freitas: the top plane of the truncated octagonal right prism is 45 degree with respect to horizontal. find the volume Answered by Janice Cotcher.
	Finding Specific Heat of a Substance		2009-12-26
		From erin: Hi- 2 kg metal requires 1.00 X 10^4 J of heat to raise its temperature from 20 degrees C to 40 degrees C. What is the specific heat capacity of the metal? Answered by Janice Cotcher.
	15 golfers 3 rounds fivesomes		2009-12-23
		From Dewey: I have 15 golfers playing 3 rounds of golf. We will be playing in fivesomes. Any formula that has everyone playing with a different person each round? Thank you. Dewey Answered by Robert Dawson.
	Perimeter		2009-12-23
		From Jalyn: I'm doing this math project comparing measurements and I want to know the perimeter of the Upper Peninsula of Michigan. Please Help me! -Jalyn Answered by Robert Dawson and Walter Whiteley.
	A Lagoon, free form, inground swimming pool		2009-12-22
		From donna: What is the linear footage of a 14 x 23, Lagoon, free form, inground swimming pool? Answered by Robert Dawson.
	The tens digit of 0! + 1! + 2! + 3! + ... + 2000!		2009-12-21
		From Alicia: What is the tens digit of 0! + 1! + 2! + 3! + ... + 2000!? Answered by Robert Dawson and Penny Nom.
	Figure out the square root of something		2009-12-20
		From eric: is there an ez equation to figure out the square root of something? Answered by Harley Weston.
	Two percent		2009-12-20
		From Brian: Hello I am having a problem figuring out something. Someone told me that .98 is the same as 2% how is this possible, how did they figure this out here is my example 929.79 x .98 = 911.19, is the same as 929.79 x 2% = 18.59, now minus the 18.59 and you will end up with 911.19, how did they convert 2% to .98, please help thgis is driving me nuts as I am not very good at math. Thank you Warmest Regards Brian Answered by Penny Nom.
	A triangle with two equal medians		2009-12-19
		From Nazrul: If two medians of a triangle are equal , how can I prove that the triangle is isosceles. Answered by Chris Fisher.
	How much will i have saved in that year?		2009-12-18
		From Loretto: If i save a penny and it doubles every day for one year how much will i have saved in that year Answered by Robert Dawson.
	Houses on a triangular field		2009-12-18
		From Beth: Hi, this is the question i have to answer. Planning permission has been granted to build houses on the triangular field in the diagram. The housing density permitted is 1 house for each 200m². Calculate how many houses can be built on this Beth Answered by Robert Dawson.
	Polygons, diagonals and the sum of the measures of the angles		2009-12-18
		From jason: find the set of polygons in which the number of diagonals is greater than the sum of the measures of the angles Answered by Robert Dawson.
	A ball is thrown upwards		2009-12-17
		From Reuben: A ball is h meters above the ground t seconds after it is thrown where h(t) = 40t – 5t ^2 . Find the time at which the ball first reaches a height of (a) 10 meters (b) 40 meters (c) 100 meters Answered by Harley Weston.
	Maximizing the area of a rectangle		2009-12-17
		From rachel: A rectangular field is to be enclosed by 400m of fence. What dimensions will give a maximum area? Answered by Penny Nom.
	The acute angle formed by intersecting lines		2009-12-17
		From Katie: To the nearest tenth of a degree, find the size of the acute angle formed by the intersecting lines 3x + 2y = 12 and x - 2y = -2. Was is necessary to find the intersection point? Answered by Robert Dawson.
	A pile of sand		2009-12-16
		From Malik: Sand is leaking out of a hole at the bottom of a container at a rate of 90cm3/min. As it leaks out, it forms a pile in the shape of a right circular cone whose base is 30cm below the bottom of the container. The base radius is increasing at a rate of 6mm/min. If, at the instant that 600cm3 have leaked out, the radius is 12cm, find the amount of leakage when the pile touches the bottom of the container. Answered by Harley Weston.
	A trig question		2009-12-15
		From A trig question: Hey, my name is Candle I'm in academic math10 and am stuck on my trig... one question I thought I had right because i used the cosine law I got wrong and can't figure out why... here's a copy of the question. (i guessed it was D... but my teacher said it's B) Thanks Candle Answered by Robert Dawson.
	Percentage reduction		2009-12-15
		From John: Please explain how I should calculate the percentage of £676 billion reduced to £498billion Answered by Harley Weston.
	Energy in calories		2009-12-15
		From Josephine: A soft drink manufacturer claims that a new diet soft drink is now "low Joule". The label indicates that the available energy per serving is 6300 J. What is the equivalent of this energy in calories? (1 Calorie=1000 cal) Answered by Robert Dawson.
	A 4 digit number		2009-12-15
		From Lisa: Billy Club was assigned the task of putting numbers on all the playground balls used during daily recess. Billy will number the balls using the following rules: 1. It will be a 4-digit number. 2. The digit in the thousands place will be a 1 or a 2. 3. The digit in the hundreds place will be a 2, 4, or 6. 4. The digit in the tens place will be an odd number. 5. The digit in the ones place will be greater than six. How many balls can Billy number if he follows these rules? Answered by Robert Dawson.
	The second derivative of y = x³ (x² + 5)		2009-12-14
		From Kyrie: Find d²y/dx² for this function: y = x³ (x² + 5) Answered by Penny Nom.
	A circle problem		2009-12-14
		From Fawad: AP is a tangent at P to a circle centre O, where AP=6cm. The straight line AQC is such that QC= 9cm. Find the length, in cm of AQ. Answered by Chris Fisher.
	A telephone pole on a slope		2009-12-14
		From Marissa: A 10 meter telephone pole casts a 17 meter shadow directly down a slope when the angle of elevation of the sun is 42 degrees. Find the angle of elevation of the ground. Its a law of sines problem. Answered by Penny Nom.
	Bases larger than ten		2009-12-14
		From Nick: For numbers in bases larger than ten, what are the digits by mathematicians' conventions? I assume the first 10 are always 0-9. I know two computer science conventions (for hexadecimal (A-F case-insensitively) and for base 85 (case-sensitivity plus 23 other characters)) and as a school student I learned that base 12 uses either T and E (which confused me when I thought they stood for Eleven and Twelve) or A and B, the latter as capitals only. Clearly, these conventions are in conflict. I saw your reply in http://mathcentral.uregina.ca/QQ/database/QQ.09.99/magin1.html as accessed a few minutes ago but hope that in the 10 years since then mathematicians have arrived at a convention. Have they? Thank you. -- Nick Answered by Claude Tardif.
	A regular pentagon		2009-12-14
		From Jamie: A regular pentagon is inscribed in a circle of radius 4.5 cm. Determine its perimeter and area to one decimal place! Thank YOU ! :) Answered by Penny Nom.
	Decimal equivalent		2009-12-13
		From Asia: In a forest,it rained 36 out of 90 days. What is the decimal equivalent of 30 out of 90 days Answered by Penny Nom.
	4x +3/4 = 1/4		2009-12-12
		From Lynda: 4x +3/4 = 1/4 I know the answer is -1/8 but I don't know how to show the process of getting the answer Answered by Penny Nom.
	f(x)=x+2sinx		2009-12-12
		From amroziz: for which values of x does the graph of f(x)=x+2sinx have horizontal tangent Answered by Harley Weston.
	The volume of a compost pile		2009-12-11
		From Tim: I have a pile of compost that is78 feet long by 18 feet wide at base by 9 feet tall to a point. At the width it looks like a triangle I'm looking for the square yards Thanks Answered by Penny Nom.
	Three digit numbers		2009-12-11
		From christopher: i need a list of all 3 digit combinations with repeat of a number thnx Answered by Penny Nom.
	A number base that's not a positive integer		2009-12-11
		From Nick: Is it possible for a number to have a base that's not a positive integer? Base 1 gives a result that's meaningless but possible. I have no concept of a base 0, a negative base, or a fractional base, never mind any other base. I think there isn't any base that's not a positive integer, but, knowing that math keeps jumping ahead and sometimes has inventions before anyone knows how to exploit them, I think I'd better ask. Thank you. Nick Answered by Robert Dawson and Claude Tardif.
	Two digit numbers		2009-12-10
		From Jim: Can you tell me how many 2 digit numbers can be created from the following: 1118539 Answered by Penny Nom.
	Dirt around a cylinder		2009-12-10
		From curtis: If I was to pile 3.5 cu. yds of dirt around a 5ft 6in. diameter cylinder within 24in. of the outside, how high will the dirt be? Answered by Penny Nom.
	A concrete slab		2009-12-10
		From Mark: there are 30 cubic yards of concrete, how many feet will it cover with a 4" slab? Answered by Penny Nom.
	The 3-ball lottery		2009-12-09
		From Lee: A friend and I are trying to calculate the odds of choosing the winning numbers in the 3-ball lottery (3-digits 0-9). We realize that there are 720 Permutations and 120 possible Combinations of said lottery, but we're having trouble figuring how to determine the "odds" or probability of winning (1) when order matters, and (2) when it doesn't. Please help! Answered by Penny Nom.
	e = m c^2		2009-12-09
		From Jim: Please explain the following formula: E=MC2 (squared) Answered by Robert Dawson.
	Game of 24		2009-12-09
		From Tony: Checked out all of the previous inquiries into the crazed game, and found none with these particular numbers: 1, 4, 6, 7. I've tried every method I can think of, please Help! Tks. Answered by Robert Dawson, Penny Nom and Claude tardif.
	... the original speed of the car was?		2009-12-08
		From venkatesh: A car travels a distance of 840 miles at a uniform speed if the speed of the car is increased 10 m/h more ,it takes two hours less to cover the same distance ,the original speed of the car was? options:75 mh,65 m/h,60 m/h,55 m/h,45 m/h . Answered by Claude Tardif.
	How fast is the distance between the two cars decreasing?		2009-12-08
		From Jenny: Two cares are on a collision course toward point P. The paths of the two cars make a 30 degree angle with each other. The first car is 40 km from P, and traveling toward P at 16 km/hour. The second car is 50 km from P, traveling at 20 km/hour. How fast is the (straight line) distance between the two cars decreasing. (Hint: Law of Cosines) Answered by Harley Weston.
	Simplifying a quadratic expression		2009-12-07
		From Sabbie: Hi, I need help solving this equation for my physics homework,so I can solve the quadratic equations for x and y. I've derived the following equations from the information provided in the question. 2a+3b = 4 -- 1 2a^2 + 3b^2 = 62 -- 2 a=2-(3/2)b is substituted into equation 2. so, i get 2 (2-(3/2)b)^2 + 3b^2 = 62 this is where the problem begins. i cannot work through this to get to the correct quadratic equation 5b^2-8b-36=0 I can't seem to be able to figure out where I keep going wrong. I would really appreciate it if you could give me a step-by-step breakdown of the workout. thanks! Answered by Penny Nom.
	An equilateral triangle is inscribed in a circle		2009-12-06
		From anna: An equilateral triangle is inscribed in a circle of radius 6. Find x and the length of one side of the equilateral triangle. The picture is a triangle where the corners touch the sides of a circle and there is a line drawn down the middle of the triangle. A point labeled D which is in the triangle but im pretty sure that its marking the radius of the circle. From that point D is a line going from that point to the bottom left corner of the triangle. So this line shall make another mini triangle. The bottom of the big triangle is then split into 2 segments and the left segment is labeled x. Please help for I am stuck! Answered by Penny Nom.
	7 36 14 18 28 9 56 x y		2009-12-06
		From lisa: what is the sequence of x and y 7 36 14 18 28 9 56 x y Answered by Penny Nom.
	The height of an isosceles triangle		2009-12-06
		From Carl: What is the height of an isosceles triangle if its base is 12cm, and its base angle is 72degrees? Answered by Penny Nom.
	Walking at 4/5 of his usual speed		2009-12-05
		From venkatesh: walking at 4/5 of his usual speed a man is 10 minutes too late .find his usual time. Answered by Penny Nom.
	A magic/math trick		2009-12-04
		From Valentin: What is the explanation for the following math trick: you think of any four digit number add those digits take that sum and subtract it from the first number then you say three of those new numbers in any order and the other person guesses the last digit. How does he do it? Answered by Claude Tardif.
	Three numbers that have the sum of 45		2009-12-04
		From amanda: there are three numbers that have the sum of 45.The greatest of the three numbers is 2 greater than the least number.What are the numbers?what is the formula to get the answer? Answered by Penny Nom.
	Two adjacent pig pens		2009-12-04
		From alysia: A pig farmer wants to build two adjacent pens using 96 feet of fencing. He wants rectangular pens that share the short side and the overall length is to be six more than twice the width. What should be the dimensions of the overall pen? Answered by Penny Nom.
	(9 - x^2)/(x - 3)		2009-12-04
		From Sandy: 9-x^2/x-3 I need to know how to solve this. Thanks Answered by Penny Nom.
	Airline routes		2009-12-01
		From Kapilan: Please answer the following question: From A to B there are four possible air routes. From B to C there are five possible air routes. From C to D there are three possible air routes. How many different trips can be taken from A to D and back without taking the same route on any section of the return trip? Answered by Penny Nom.
	A line through the y-intercepts		2009-12-01
		From Rogerson: Find the equation of the line through y-intercept of the lines 3x + 4y = 12 and 3x - y = 9. Answered by Penny Nom.
	(24x3)+(7x8)-(20/5)+(4x7)		2009-12-01
		From Marilyn: (24x3)+(7x8)-(20/5)+(4x7) Thought I had the answer but the form says no. Could you solve it for me please. Answered by Penny Nom.
	GST and PST		2009-11-30
		From anne: i have a total amount15.81.i need to find out the amount of gst(5%) and the pst(7%) that i paid within that amount of 15.81 Answered by Penny Nom.
	Four fours		2009-11-29
		From linda: Four Fours order of operations challenge i need problems using 4's only that have an answer of 13, 18, and 19 than you Answered by Penny Nom.
	Milliliter conversion		2009-11-29
		From Jan: I am trying out a new bath salt recipe for one of my clients that has little children. Here then is the question, the recipe for color changing bubble bath calls for 0.15ml dry FD&C color. Since the recipe came from Australia, I have not a clue of how to change this into USA measurments Answered by Penny Nom.
	A place value problem		2009-11-29
		From Ivy: My tens digit is 4 less than my thousands digit. My ones digit is twice my tens digit. My ten thousands digit is one less than my ones digit. My hundreds digit is the sum of my tens and thousands digit. My thousands digit is 6. Answered by Penny Nom.
	The graph of f(x)=1/x -2		2009-11-29
		From Kapilan: Please answer the following question: Sketch the graph of f(x)=1/x -2 Answered by Harley Weston.
	The dimensions of a rectangular room		2009-11-26
		From crystal: . The length of a rectangular room is 7 feet longer than its width. The area of the room is 60 feet. What are the dimensions of the room? Answered by Penny Nom.
	What number comes next?		2009-11-25
		From Mark: Can someone help and give me the break down of how to solve. 5,3,1,-1 Answered by Penny Nom.
	Six-letter words		2009-11-24
		From christine: How many six-letter words (not necessarily an English words) are there in which exactly three of the letters are z's? Answered by Claude Tardif.
	Solving two equations, one with a square root		2009-11-23
		From kacie: y = square root of x+3 x-4y = -7 im having trouble with this problem...i have to find where they intersect. Answered by Harley Weston.
	The triangle formed by the tangent and the coordinates axes		2009-11-23
		From Nirmala: Given that y=1/x, x is not equal to zero. Prove that the area of the triangle formed by the tangent and the coordinates axes is 2. Answered by Harley Weston.
	A 24" circumference pipe		2009-11-21
		From Cliff: How long does a pipe with a 24" circumference need to be to hold 2 cubic feet? Answered by Penny Nom.
	A simplification		2009-11-21
		From Lou: In the following problem, [(7)/(x+2)]-[(x+8)/(4-x^2)]+[(3x-2)/4-4x+x^2)] what steps do you use to convert the middle portion to become +[(x+8)/(-4+x^2)]? The answer to the problem is supposed to be (11x^2-18x+8)/(x+2)(x-2)^2 Answered by Penny Nom.
	Pieces of metal in a container		2009-11-20
		From sheri: I need to estimate how many pieces of metal are in a container that is 3 feet by 3 feet and 2 feet high. the metal pieces are 1" round and 1/2 centimeter thick. I've never been any good at math. please help. thanks, Sheri Answered by Robert Dawson.
	Two overlapping circles		2009-11-19
		From Raraa: There are two identical circles . The edge of one circle is at the middle point of the other circle. There were overlapped . The area of the overlapped surface is 20000 square centimetres . How do I find the radius of the circle rounded to the nearest whole centimetre ? Answered by Penny Nom.
	The graph of f(x-2)		2009-11-19
		From Kapilan: Hi please answer the following question: Given the function f(x)=x^2 sketch the graph of f(x-2) Answered by Robert Dawson.
	Factoring		2009-11-19
		From danyelle: 81x^2+36x+4 factoring i dont understand it at all Answered by Robert Dawson.
	Ascribing a value to 1/infinity		2009-11-19
		From Jack: Hello, and, in advance, thanks for answering. I came across the problem of ascribing a value to 1/∞ (one divided by infinity) recently, I heard many things: that it is infinitesimally small (i.e. .0000000000...1 the most intuitive), that it is 0 (the most ludicrous of them all in my mind), and that it is not definable (which makes the most sense, although is a bit of a let down). I know that lim (x->∞) 1/x = 0 and this is often used as an argument for all three possibilities. So what's the ruling on this? And, I know this question has already been answered, but for a little modification; is there any way to prove the answer that seems to be the most prevalently used (not definable as ∞ is a concept) with mathematical logic? Or is it just because of the definition of ∞? Answered by Robert Dawson.
	The point of intersection of the pair of straight lines		2009-11-19
		From Stephanie: Find the point of intersection of the pair of straight lines: y=-3x-9 -y=4x+2 x = _______ and y = ________ I am totally confused. Please help Answered by Robert Dawson.
	Angular speed		2009-11-19
		From Atalie: The engine of a sports car rotates at 5000 revolution per minute. Calculate the angular speed of the engine in radians per second, given that 2pi radians = 1 revolution Answered by Robert Dawson.
	A baseball diamond		2009-11-18
		From maelee: the official distance between home plate and second base in baseball diamond is 120ft. Find the area of the official ball diamond & the distance between the bases. Answered by Robert Dawson, Chris Fisher and Penny Nom.
	A computer screen		2009-11-18
		From Leonard: Whats the pythagorean theorem of computer measured 12"x 12" in length and width, whats the diagonal measurement in 15". Thank You Answered by Penny Nom.
	sin x / 1+ cos x = csc x - cot x		2009-11-18
		From Mansi: i need a hint on how i could prove the following identity: sin x / 1+ cos x = csc x - cot x Answered by Harley Weston.
	The three medians of a triangle		2009-11-18
		From Nazrul: If the three medians of a triangle are equal, how can I prove (without using the property that the three medians of a triangle cut one another at a point of trisection) that the triangle is equilateral. Answered by Chris Fisher.
	Matt has 40 coins		2009-11-18
		From Amy: Matt has 40 coins(nickels, dimes, and quarters). The total amount is $4.05. He has 7 more nickels than dimes. How many quarters does he have? Answered by Penny Nom.
	Two movies in one day		2009-11-18
		From jazzy: ann and tim saw two movies in one day.The two movies lasted 4hours long .One movie was an half hour longer than the other .How many hours did the shorter movie run Answered by Penny Nom.
	How many girls are there in the class?		2009-11-18
		From Anisa: There are 30 students in a class. A quarter of the boys ans half of the girls study music, making a total of 11 music students. How many girls are there in the class? Answered by Penny Nom.
	The base and height of a triangle are in the ratio of 3:2		2009-11-18
		From Mike: Find the base and height of a triangle using the ratio 3:2 and an area of 108 inches square. Is there a formula we need to use? Thanks Mike Answered by Penny Nom.
	6 numbers from 53 numbers		2009-11-17
		From MIGUEL: IM A STUDENT IN HIGH SCHOOL AND IM HELPING THE SOCCER COACH WITH PLAYS SO I NEED ALL THE POSSIBLE NUMBER COMBINATIONS OF NUMBERS 1- 53 IN SETS OF SIX THE NUMBER CAN ONLY BE USED ONCE IN EACH SET. Answered by Penny Nom.
	Deducting 10% from £100		2009-11-17
		From Steve: What is the correct way of deducting 10% from £100? Would it be £100 multiplied by 0.1 and then deduct to leave you £90; or Would it be £100 divided by 1.1 to give you £90.91? Answered by Penny Nom.
	Coefficients		2009-11-17
		From Da'mon: The Coefficients of the expression 8 - 5x - 4 + 3x are 5 and 3 Whether the statement is true or false. Answered by Penny Nom.
	One-eighth of one million dollars		2009-11-16
		From Jarrett: what is 1/8 equal to out of a million dollars. Answered by Penny Nom.
	Three angles and one side of a triangle		2009-11-16
		From Esther: How do i find the sides of an acute triangle if i know the angels are 60,45,75 and i only know one side which is 10? Thanks! Answered by Penny Nom.
	Two similar pentagons		2009-11-16
		From louis: The lengths of five sides of a pentagon are 1,3,5,7,and 12 units. If the length of the longest side of a similar polygon is 18 units, find the perimeter of the larger pentagon. I think I figured it out Not sure though. Answered by Penny Nom.
	The line through D(-4, 0) and E(2, 6)		2009-11-16
		From Rogerson: The point F is on the line through D(-4, 0) and E(2, 6) so that DF=4DE. Find the coordinates of F. Answered by Penny Nom.
	A markup and a discount		2009-11-15
		From joe: I have a product that cost $ 300.00 I want a 25% markup and give a 15% discount but keep 25% markup. 300 + 25% = 375 300 + 40% = 420 420 - 15% = 357 what am i doing wrong???? Answered by Harley Weston.
	Maximize profit		2009-11-14
		From Willie: Profit is the difference between Total Revenue and Total Cost. Therefore, to MAXIMIZE PROFIT you must maximize Total Revenue. True or False? Explain answer. Answered by Penny Nom.
	6 numbers from 12		2009-11-14
		From david: how many combinations of 6 numbers can there be using 12 different numbers without using the same numbers more than once? 2, 3, 5, 8, 9, 11, 12, 14, 17, 19, 20 & 31. Answered by Penny Nom.
	Excluded values		2009-11-14
		From Janie: I have to State the excluded values for this equation and then solve, but not sure how to do this. Here is the problem (x+6)/x+3=(3)/(x+3)+2 Answered by Harley Weston.
	Cables in a pipe		2009-11-13
		From john: how many 0.28 mm diameter cables will fit into a 19.05 mm diameter pipe Answered by Stephen La Rocque.
	A triangular shaped ditch		2009-11-12
		From Tim: I am planning on constructing a triangular shaped ditch the measures 550 meters in length, 6 meters wide at the surface, .3048 meters at the invert of the ditch and 2 meters deep. How many cubic meters of material will have to be excavated to construct this ditch Answered by Robert Dawson.
	An isosceles trapezoid		2009-11-12
		From lyjah: what is parallel sides of an isosceles trapezoid measure 5cm and 11cm long.and oneof the other sides also measures s5cn long what of the isosceles trapeziod Answered by Penny Nom.
	Pennies and dimes		2009-11-11
		From Rachel: Kesha had only pennies and dimes in her change purse. When she counted out her change she had 64 cents/ of she had 6 times as many pennies as she did dimes, how many pennies did she have? Write equation and solve it. Can someone help me with this? Answered by Penny Nom.
	A truncated cone		2009-11-11
		From Lucian: I need to calculate the bottom inside diameter of a truncated cone. The top insdie diameter is 1450mm. The material is 6mm thick The cone angle is 20 degrees The slant length is 152mm I would like a formula so that I can build a spread sheet Answered by Penny Nom.
	The fourth vertex of a rectangle		2009-11-11
		From Ellena: The points A(2,-1), B(5,-3), and C(7,0) are the three vertices of a rectangle. Determine he coordinates of the fourth vertex. Answered by Penny Nom.
	A sequence of letters and numbers		2009-11-10
		From Maria: What is the last ten letters and numbers in the following series and how do I work it out so I can explain it to an eleven year old. J1F8M1A0M1J0J1 Answered by Robert Dawson, Claude Tardif and Harley Weston.
	y = sin(x) + 3		2009-11-10
		From Kapilan: When graphing trigonometric functions like SIN and COSINE does f(x)=x squared equal to SIN or COSINE Also what is the range, domain, period and ampliltude for y=sin@ + 3 Answered by Harley Weston.
	f(x)= (e^x) / [(e^x)+(ex^2)]		2009-11-10
		From natalie: I'm trying to graph the function, f(x)= (e^x) / (e^x)+(ex^2) [e to the x divided by e to the x plus e times x squared] I know that there aren't any vertical asymptotes, but is there a horizontal asymptote? and also, I'm stuck on finding the concavity for this graph. I tried to find f "(x), but it came out to be really long and I am not sure how to find the x values for f "(x) without using a graphic calculator. thanks, natalie Answered by Chris Fisher and Harley Weston.
	A rate of 67 per 1000		2009-11-10
		From ANTHNONY: if the rate is 67 per 1000 the fraction is 67/1000 how do I present the expanded form Answered by Penny Nom.
	A drawing of a baseball diamond		2009-11-09
		From Beth: My husband has a drawn diagram on a piece of paper of a baseball diamond. He knows that on the paper 1 1/16" (1.6875") = 90 actual feet. How do we calculate how many feet 5 7/8" on the paper would be? Answered by Penny Nom.
	Consecutive odd integers		2009-11-09
		From Erin: I'm having trouble with consecutive integers. i know it goes n + n + 1 + n + 2 and so on, but if its odd then do the numbers change to odd ones? i don't know the question is: the sum of four consecutive odd integers is -72. write an equation to model this situation and find the values of the four integers Answered by Robert Dawson and Penny Nom.
	A problem in a hexagon		2009-11-07
		From WIlliam: I have a regular hexagon and all sides are 8 cm. I need to find the line segment point a to point b. Point B is on the top left of the hexagon and the Point A is on the middle right side, I know the line pass through 2 Equilateral triangles, I'm just not sure how to do the equation. Also how would you measure a line that goes right in the middle from one end to the other Answered by Harley Weston.
	The cardinality of the prime numbers		2009-11-07
		From Justin: Hello there, I was just wondering since the number of primes is infinite, are they equal to infinity or Aleph-null? Justin Answered by Robert Dawson and Victoria West.
	sinA + cosA = 1		2009-11-06
		From Nazrul: What is the solution of sinA+cosA=1 where A is an acute angle? Will A=0 degree be included in the solution? Please explain. Answered by Harley Weston.
	Find the original price		2009-11-06
		From Cyndy: Find the original price of a pair of shoes if the sale price is $98.00 after a 30% discount. Answered by Penny Nom.
	Tetrahedral numbers		2009-11-06
		From rena: consider the tetrahedral numbers 1,4,10,20, etc. Can these numbers be described as a polynomial? If so, what is the degree of that polynomial? Answered by Stephen La Rocque.
	A minute hand		2009-11-05
		From Pardha: A minute hand of table clock is 3cms long. How far its tip move in 20 minutes Answered by Penny Nom.
	Jill and Bill		2009-11-04
		From Lisa: Jill and Bill are two members of the Hill family. Jill is 8 years old and Bill is 9 years old. What will Bill's age be when the total of the digits in both their ages is once again 17? Answered by Stephen La Rocque.
	Commodity price increase		2009-11-04
		From bharat: if price of a commodity increases by x% the to keep the expenditure same the decrease in consumption should be (x/(x+100))*100, why? Answered by Penny Nom.
	3x^3-3x-3 and 3x+6		2009-11-04
		From spencer: My question is 3x^3-3x-3 devided by 3x+6 Answered by Penny Nom.
	Proportionality		2009-11-03
		From Nazrul: If x is proportional to y , how can I prove that (x^2-y^2) is proportional to xy. Please explain the process. Answered by Penny Nom.
	The roots of a polynomial		2009-11-03
		From Jess: Find the value of a positive integer k such that f(x)=x^2 - 2kx + 55 has roots at k +3 and k - 3. Answered by Penny Nom.
	A single die is rolled twice		2009-11-03
		From Michelle: A single die is rolled twice. Find the probability of getting two numbers whose sum exceeds 5. I can't seem to come up with any of these answers, Help. A. 0.72 B. 0.89 C. 0.68 D. 0.58 Answered by Penny Nom.
	A number puzzle		2009-11-03
		From Jacqui: Write a number sentence. Use every digit once, 7, 4, 3, 6, 5,10. Insert math symbols +, - , *,/ and end up with the number 3. Use parentheses if necessary. Jacqui Answered by Claude Tardif and Penny Nom.
	What's the next term?		2009-11-03
		From bharat: if 1=5 2=25 3=325 4=4325 5=? Answered by Robert Dawson and Penny Nom.
	The extended real numbers		2009-11-02
		From Justin: Hello there, I was wondering is the set of extended real numbers a closed set or an open set? Justin Answered by Robert Dawson.
	Guess and check		2009-11-01
		From Laura: There is a game at the fair in which you toss balls into bowls to win fish. There are 52 bowls. The larger bows contain five fish, and the smaller ones contain three fish. If there are 202 fish total, how many bowls of each size are there? Laura Answered by Penny Nom.
	A lottery question		2009-11-01
		From munirah: assume the chances of winning the lottery are 1 in 1000.how many times would you have to play to attain 0.5 probability of winning at least once? Answered by Robert Dawson and Claude Tardif.
	At what rate are the people moving apart?		2009-11-01
		From saira: A man starts walking north at 4 ft/s from a point P. 5 minutes later a woman starts walking south at 5 ft/s from a point 500 ft due east of P. At what rate are the people moving apart 15 minute after the woman starts walking ? Answered by Harley Weston.
	Consecutive positive integers		2009-11-01
		From Madi: I'm doing my homework, and there are questions on Consecutive Positive Integers. I was just wondering, what is a consecutive integer? Or to be more specific, what is a consecutive POSITIVE integer? Answered by Penny Nom.
	Sarah's age		2009-10-31
		From Kenneth: 2/3 of Mary’s age equals Sarah’s age and 3/4 of Ruth’s age equals Sarah’s age. If the total ages equal 46, how old is each girl? Answered by Claude Tardif.
	A path around a pond		2009-10-31
		From adeniji: find the area of a concrete path 2m wide surrounding a circular pond 12m in diameter Answered by Penny Nom.
	Where is the Father?		2009-10-30
		From Jeffrey: A mother is 21 years older than her kid and within 6 years the child will be 5 times younger than the mother. Where is the Father? Jeffrey Answered by Robert Dawson and Claude Tardif.
	Rationals		2009-10-30
		From Jawsh: I don't quite understand the whole idea of rationals. If you have 3Squareroot 49. Is that equal to 3Squareroot 7^2? Can you break it down with an example for me please. Answered by Robert Dawson.
	The intersection of two graphs		2009-10-30
		From asma: by using the suitable scales,draw both the graph of x/2 + y/4 =3 and y=2 on the same graph paper.Find the points of intersection of the two graph. Answered by Penny Nom.
	Factors		2009-10-30
		From brenden: The numbers 3,5,7 are factors of n. Find four other factors of n besides 1 Answered by Penny Nom.
	Painting a dome		2009-10-30
		From Jessica: A hemispherical dome with a radius of 50 ft will be given a coat of paint .01 inch thick. The Contractor for the job wants to estimate the number of gallons of paint needed. Use a differential to obtain an estimate (231 cubic inches/gallon) HINT: Approximate the change in volume of hemisphere corresponding to increase of .01 inch in the radius. Answered by Robert Dawson.
	Acreage calculation		2009-10-29
		From Angela: I am appraising a small portion of property for a right of way for a new sewer line. I have appraised many similar projects in the past; however the engineer always calculated the exact acreage and/or dimensions of the parcel being taken. My survey states the following: "141 linear ft. of 25' permanent R/W. I divided the linear feet x 12 and mult. by 25 to get the square footage, but it just doesn't seem right. Any suggestions? Am I missing something? Answered by Robert Dawson.
	An irregular quadrilateral		2009-10-29
		From riya: what is irregular quadrilateral? Answered by Penny Nom.
	Is it a rectangle?		2009-10-29
		From sefora: The coordinates of the vertices of quadrilaterals are given. Draw each quadrilateral on a grid. Determine whether it is a rectangle (show your work) P(5,1), Q(-4,4), R(-6,-2), S(3,-5) Answered by Penny Nom.
	A triangle problem		2009-10-28
		From Nazrul: ABC is a triangle , D is the mid point of AB and DE is parallel to BC where E lies on AC. How can I prove that E is the mid point of AC. Answered by Penny Nom.
	An array		2009-10-28
		From felicia: what factors are shown in the array below? ** ** ** ** ** ** Answered by Penny Nom.
	Standard deviation		2009-10-27
		From Reggie: After you have computed the standard deviation of a set of 40 scores, you discover that the lowest score is in error and should be even lower. Will correcting this error affect the standard deviation? Answered by Penny Nom.
	Guess and check		2009-10-27
		From Eileen: Caslin has a total of 50 red beans and green beans. If she trades 1 red bean for 4 green beans, she will have 113 green beans, how may red beans and green beans does she have? Answered by Penny Nom.
	Sarim has $1 in coins.		2009-10-27
		From Elizabeth: Here is the question asked: Sarim has $1 in coins. One-fifth of the coins are dimes, two-fifteenths are nickels, and two-thirds are pennies. Tell how many of each coin he has. I am not sure how to start this problem. Answered by Penny Nom.
	How far will it travel in 45 mins?		2009-10-27
		From maison: I'm stuck on the formula i dont remeber what it is can you help me out a car is traveling 80km/h how far will it travel in 45 mins Answered by Robert Dawson.
	Two non zero vectors		2009-10-27
		From Nazrul: Given that a and b are two non zero vectors and ma+nb=0 where m and n are two scalars. How can I prove that m=n=0. Answered by Robert Dawson.
	Density of dirt and gravel		2009-10-26
		From ken: if digging a load of dirt and gravel in mining how many yards of material to the ton thanks Answered by Penny Nom.
	f(x) = |3x - 6| + 1		2009-10-26
		From kelsey: find the coordinates of the vertex f(x)= l3x-6l + 1 Answered by Penny Nom.
	Graphing y=(4-x^2)^5		2009-10-25
		From natalie: I want to graph the curve of y=(4-x^2)^5 without using a graphing calculator. To do this, I'm suppose to find: domain, y and x intercepts, asymptotes, intervals of increase/decrease, local max/min, concavity and points of inflection. I got all the way to the step where I'm solving the concavity and I'm stuck. I found the f"(x) and it came out to be really large polynomial. I want to know how I can solve for the x of f"(x) without the use of a graphing calculator, when the polynomial has x^6 and x^8. Thank you so much, natalie Answered by Harley Weston.
	Books on a shelf		2009-10-25
		From Julie: a bookshelf is 36 inches long and contains (x) books each (n) inches thick. If each book half an inch thinner, the shelf would hold six more of the same book. What is x/n Answered by Penny Nom.
	Cutting a pipe at an arbitrary angle		2009-10-24
		From Carol: I have read your article on cutting pipe,etc. at a 45 degree angle. I need to develop an equation and pattern for cutting any size pipe (3" to 7") to any degree. I don't understand how to transfer the wave pattern to graph paper. Thanks. Answered by Harley Weston.
	A word problem		2009-10-24
		From Ryan: Two times one number plus 7 times another number is equal to 17. the first number plus the second number is equal to 25. What are the two numbers? Please Help! Answered by Penny Nom.
	Four consecutive odd integers		2009-10-24
		From Tonya: the sum of four consecutive odd intergers 2008 what are the intergers Answered by Penny Nom.
	What jobs use conics?		2009-10-22
		From denise: i have to type a paper on what jobs use conics and i can not find anything can you help thanks Denise Answered by Penny Nom.
	A linear equation		2009-10-22
		From Ryan: How do you convert the equation 2x-6y=7? This is on my homework and I am really stuck!!! Answered by Penny Nom.
	e^pi and pi^e		2009-10-22
		From Natalie: Question from natalie, a student: Without using your calculator, prove which is bigger: e^pi or pi^e we talked about ad absurdum in class, so I'm assuming that is how I approach this question, but since neither of them have a variable( like the examples we actually solved in class), I'm not quite sure how to solve it.... Answered by Harley Weston.
	The inverse of f(x)=-1/x^2		2009-10-22
		From Jasmine: how to solve f(x)=-1/x^2 --> find f-1[x], than state if its a function Answered by Harley Weston.
	Forming a square		2009-10-21
		From christianah: Two parallel lines have the equations y=x+4 and y=x-2.Two additional lines are drawn to form a square.What is the side length of the square?Write possible equations for the additional lines.Explain and justify your reasoning. Answered by Penny Nom.
	A sequence		2009-10-20
		From Alyce: The rule of this sequence is k=1/8n. Find the 8th term of the sequence. 1/8, 1/4, 3/8, 1/2, ... Thanks! Answered by Penny Nom.
	A linear system		2009-10-20
		From marissa: Solve this linear system 2x-y=5 3x+y=-9 Answered by Penny Nom.
	How much fabric will I need?		2009-10-20
		From Coach Jones: I have a new ideal and need to know how much fabric will I need to order. My design is 16'6" long, 10' wide and 24" tale. How much fabric will I need for the Top, Bottom and the Walls? Thanks Coach Jones Answered by Penny Nom.
	A line and a circle		2009-10-19
		From Renson: Determine whether the line x-2y=0 cuts,touches or fail to meet the circle x^2+y^2-8x+6y-15=0.If it touches or cuts ,find the coordinates of the point(s) of contact Answered by Harley Weston.
	The hypotenuse of a right triangle		2009-10-18
		From steven: the perimeter of a right triangle is 20 cm. its area is 15 sq cm. find its hypotenuse. Answered by Penny Nom.
	Proof that the root of 27 is irrational		2009-10-18
		From Scarlet: How do you prove that the square root of 27 is irrational? Answered by Victoria West.
	The equation of a circle		2009-10-17
		From Renson: A circle passes through (4,2) and (11,-5) with center on the line 3y-5x+41=0.Determine its equation in standard form. Answered by Penny Nom.
	The next three terms		2009-10-16
		From Shawn: I'm a parent and don't know how to help my 6th grader solve for this problem. Name the next tree terms in this sequence and tell the rule used to find each: -1,0,1,0,1,2,3,8,25,..... Answered by Chris Fisher.
	541.39(1 + i)^15 = 784.09		2009-10-14
		From Fitore: Hi, I noticed that this question was already posted up, however I was hoping I could solve it without having to use logs. Can you please help me? The equation is: 541.39(1 + i)^15 = 784.09 Answered by Penny Nom.
	Concentric circles		2009-10-14
		From maddy: Find the exact area of the region bounded by two concentric circles with radii 10 inches and 6 inches. Answered by Penny Nom.
	The three angles of a triangle		2009-10-13
		From Michelle: The second angle of a triangular garden is four times as large as the first. The third angle is 45 less than the sum of the other two angles. Find the measure of the other two angles? Answered by Penny Nom.
	What fraction of my goal has been raised?		2009-10-13
		From sally: If my goal is to raisel $300 and I have only raised $240 what fraction of my goal has been raised Answered by Penny Nom.
	The radius of an arc		2009-10-13
		From AYMAN: Question from ayman: i would like to know the radius of an arc , i do not know the angle , can u please explian it with an example , all i know , or i think i know is a draw line , the reason i asked yu guys this Q , is i am a boilermaker apprentice , sometimes i do deal with a bended pipes or flate plates of metal . when i try to do the same bend as these pipes , it is quite hard so for me to find out the radius of the pipe already bended & find out the angle i will be able to know the full length of the material thats all , thank you Answered by Robert Dawson.
	How many gallons does it contain when it is 1/6 full?		2009-10-13
		From Bren-Nesha: A tank contains 200 gallons when it is 4/5 full. How many gallons does it contain when it is 1/6 full? I already know the answer but i would like to know how to arrive at the answer. Answered by Penny Nom.
	The integral of sqrt(x) * ln(x)		2009-10-12
		From Oana: Hi! Can you tell me please how much is : ∫ (√x * ln x) ? Answered by Penny Nom.
	The cube of a number plus five times the number plus 1		2009-10-12
		From JP: Find a counterexample to the statement: The cube of a number added to the sum of five times the number and 1 is a prime number.The cube of a number added to the sum of five times the number and 1 is a prime number Answered by Penny Nom.
	Integration of cos (x^2) dx		2009-10-12
		From Venkat: How do you evaluate the integration of cos (x^2) dx ? Answered by Harley Weston.
	A max/min problem		2009-10-12
		From avien: a rectangle has a line of fixed length Lreaching from the vertex to the midpoint of one of the far sides. what is the maximum possible area of such a rectangle? SHOW SOLUTION USING CALCULUS Answered by Penny Nom.
	A right triangle		2009-10-12
		From Josseph: A right triangle has an area of 84ft sq. and a hypotenuse 25ft long. What are the lengths of the other two sides? Answered by Penny Nom.
	The area of a rectangle		2009-10-10
		From Ann: given a rectangle with sides a and 2a and diagonal d, find the area of the rectangle as a function of the diagonal,d Answered by Penny Nom.
	$6.25 in nickels quaters and dimes		2009-10-10
		From miriam: a piggy bank contains $ 6.25 in nickles quaters and dimes. there are 65 coins all together and there are four times as many nickles as quaters find the number of coins of each kind Answered by Penny Nom.
	Find the intersection of y=x-1 and y=sin(x)		2009-10-10
		From Usama: There are many modern calculators and softwares that can plot the functions. I have two very simple equations y=x-1 and y=sin(x), if i draw them manually on paper i can not get the accurate value. But i think a computer can easily draw perfect straight and curve lines so it should be easy to find the intersection point of two lines. Is there any way or software that can tell the exact value of intersection point of two lines? Answered by Robert Dawson and Harley Weston.
	Golf for 8		2009-10-10
		From Chris: I have a group of 8 golfers who will be playing three rounds, What is the best formula so we can all try to play with different people during the 3 rounds . Answered by Victoria West.
	24 feet of pipe in 3 pieces		2009-10-09
		From Sam: I had a carpenter being a smarty pants with me. Question: I have a 20ft piece of pipe. I need three equal lengths cut. What is the measurement of each cut? He told me the answer right away because he knows the measuring tape like the back of his hand. The answer is 6'8". Is there an equation I can use to get the answer quicker than him looking at his tape measure? Answered by Penny Nom.
	Two rectangles		2009-10-08
		From Lillian: A rectangle is 5cm longer than twice its width. The width of another rectangle is 3cm less than the width of the first rectangle and its length is 6cm more than 3 times its width. If the perimeters are equal, find the dimensions of both rectangles Answered by Penny Nom.
	Elimination method		2009-10-08
		From Kenty: How do I solve this problem using the elimination method? 3x-7y=0 6x+4y=0 I am not sure how so if someone can show me a similar problem (instead of solving this one for me) that would be fantastic. Answered by Penny Nom.
	A number between 48 and 59		2009-10-07
		From nakia: I am a number less 59 but greater than 48. my ones digit is 2 more than my tens digit.What's the number? Answered by Penny Nom.
	Two jets are traveling towards each other		2009-10-05
		From jake: two jets are traveling towards each other and are 4000 km apart. the rate of one jet is 100 km/h faster than the rate of the other. if the jets pass each other after 2.5 hrs what is the rate of speed of the faster jet? Answered by Penny Nom.
	The maximum number of right angles in a polygon		2009-10-05
		From Bruce: Is there way other than by trial and error drawing to determine the maximum number of right angles in a polygon? Secondary question would be maximum number of right angles in a CONVEX polygon. Is there a mathematical way to look at this for both convex and concave polygons? Or are we limited to trial and error drawing? Answered by Chris Fisher.
	A periscope		2009-10-05
		From likhitha: In a periscope, MIRRORS ARE PLACED PARALLELLY.Then why they do not form multiple images Answered by Robert Dawson and Chris Fisher.
	What is the next term?		2009-10-04
		From julia: patterns 18 46 94 63 52 61 what is the next one? Answered by Penny Nom.
	How high is the ledge?		2009-10-03
		From gabby: Standing on a ledge, there is a boat 25 degrees below you. The boat has a 1,000ft. tower. If the angle of elevation to the top of the tower is 15 degrees, how high is the ledge? Answered by Stephen La Rocque.
	A parabolic bridge		2009-10-03
		From SANDRA: a bridge is constructed across the river that is 200 feet wide. the arch is parabolic so that the focus is on the water. A sheep 50 ft wide and 30 ft high passes safely through the arch a) find equation of the arch *y-k=(-1/4)(x-h)^2 b) find the highest point of the arch Answered by Stephen La Rocque.
	24 golfers, 6 days		2009-10-03
		From patrick: i need a pairing schedule for 24 golfers for six days playing in foursomes. Please Answered by Victoria West.
	Fill required for a driveway		2009-10-03
		From Rose: We are going to be pouring a driveway and it is needing a lot of fill. I can't seem to figure this out. Measurements are 30 ft x 30 ft and it goes from 2' deep to 4" (which is what I need overall as it will be 4" of concrete for the driveway. Please HELP Rose in GA. Answered by Penny Nom.
	Game of 24		2009-10-02
		From trami: game of 24 by using -4 -7 -7 1? Answered by Claude Tardif.
	Prove by induction		2009-10-02
		From Anonymous: How can you prove the following by induction: Any fraction (A / B), where 0 < (A / B) < 1, can be expressed as a finite sum (1 / c(1)) + (1 / c(2)) + (1 / c(3)) + ... + (1 / c(k)), where c(1), c(2), ..., c(k) are natural numbers greater than 0. [ex. (20 / 99) = (1 / 9) + (1 / 11)] Answered by Claude Tardif.
	Completing the square		2009-10-02
		From christopher: how do i find the factors of x^2+3x+2 by completing the square ? Answered by Robert Dawson.
	Three circles		2009-10-02
		From Brandon: There is a quarter circle with a radius of 1. along one eged of it, there is a semi-circl with a diameter of 1, and its center is on the drawn line. there is another semi-circle again with the center on the other drawn line, and this one has an unknown diameter of X. both circles are internally tangent, and are tangent to each other. Find X. Answered by Robert Dawson and Chris Fisher.
	A right-angled triangle		2009-10-02
		From Hunter: The three sides of a right-angled triangle measure x-1, x+6, and 2x+1 in length. What are the possible lengths of the hypotenuse? Answered by Penny Nom and Melanie Tyrer.
	Ordering pizza for 162 people		2009-10-01
		From Jean: Need to know how to feed about 162 people 70 square inches of pizza at the lowest price. 22" Pizza is $9.95 16" Pizza is $5.25 12" Pizza is $2.99 Answered by Penny Nom.
	A line tangent to a parabola		2009-10-01
		From kanchan: for what value of c a line y=mx+c touches a parabola y^2=4a(x-a) Answered by Penny Nom.
	24 golfers		2009-10-01
		From Peter: I am working on a 19 week golf schedule with 24 golfers, and I would like to know how to make up six foursomes each week without having a player paired with the same golfers. Answered by Victoria West.
	In what order are the following digits?		2009-09-30
		From Jewell: In what order are the following digits? 0,2,3,6,7,1,9,4,5,8 Answered by Penny Nom and Claude Tardif.
	How long (distance)did it take to stop?		2009-09-30
		From mary: a car travelling at 50km/h stops in 4 seconds.how long (distance)did it take to stop? Answered by Harley Weston.
	Grams per square meter		2009-09-30
		From MANISH: how to calculate gsm given kg of 144 sheets and size in inches example 28" x 22" & 16.3 kgs = ?gsm (of 144 sheets) Answered by Penny Nom.
	-4 squared and (-4) squared		2009-09-29
		From Andrea: Is -4 squared the same as (-4) squared? I am thinking the first is -16 and the second is +16. I am trying to clarify for my students. Answered by Penny Nom.
	Differentiating y= square root(x-1)		2009-09-29
		From edith: describe the x-values at which f is differentiable. y= square root(x-1) Answered by Penny Nom.
	Sawdust		2009-09-29
		From joel: What is the density of saw dust Answered by Harley Weston.
	The volume of a levee		2009-09-29
		From Wes: I need a levee with a 2:1 slope on both sides (front and back), the length of the levee is 290 feet, the height of the levee is 15 feet, and the width of the levee, at the top, is 10 feet. How do I figure out how many CUBIC YARDS of dirt I need to make the levee? And what formula do I use in future to figure this out easily? Answered by Penny Nom.
	Comparing fractions		2009-09-28
		From TeeTee: I am in 6th grade. I have to order these fractions from least to greatest: 3/4, 2/5, 5/8, 1/2.....How do I order them if I dont know where to start, and how would I find these answers...Please Help! :) Answered by Penny Nom.
	Evaluating -x^2 + (yz - 3)^2		2009-09-28
		From Kathy: My daughter and I are having trouble solving this equation: -x²+ (yz – 3)² if x=-4,y=2 and z=0 We are having difficulty with the -x² part of the equation. Thanks Answered by Penny Nom.
	A solution of 45% acetic acid		2009-09-28
		From Autumn: if a chemist has a 4 liter solution that consists of 90% acetic acid, how much water does he need to produce a solution of 45% acetic acid? Answered by Penny Nom.
	How many terms are there in this sequence?		2009-09-28
		From tabby: How many terms are there in this sequence? 5,1,-3,...,-111 Answered by Penny Nom.
	How fast am i going?		2009-09-28
		From ron: how fast am i going if i drive 40 miles in 20 minutes...what is the formula for figuring this out. Answered by Leeanne Boehm.
	A dog tethered to a round building		2009-09-28
		From mido: One dog was linked to the outer wall of a building round of 20 meters in diameter. If the length of chain linking the dog sufficient turnover of half the distance around the building, What area can guard dog? Answered by Harley Weston.
	The volume of a garbage bag		2009-09-28
		From Steve: I have often wondered how a garbage bags is determined in gallons - many different manufactures of these type bags often have different sizes stating they are a (for example) a 55 gallon bag - also I see some that show a range (20-30 gallon) yet is a specific size (16 x 14 x39 or a 30 x 36) I have searched and search but have been unable to find a formula Answered by Robert Dawson.
	Constructing a scale model		2009-09-27
		From Colleen: What is the formula i need to use to find out how to state a reasonable scale in the question below; Suppose you were constructing a model that must sit on a piece of cardboard that is 22cm by 28cm. STATE THE REASONABLE SCALE that you can use to build a model to represent the following items. Determine the dimensions of the model. a) a rectangular prism with a length of 5m and a width of 2m? Answered by Penny Nom.
	Probability		2009-09-27
		From Ed: My mother died 3 years to the day after her daughter died. what are the odds of that happening by chance? thanks Answered by Chris Fisher.
	A 15 acre lot		2009-09-26
		From Ronald: The front and back are equal and the two sides are equal what would what would be the dimensions of a 15 acre lot? Answered by Harley Weston.
	The zeros of a polynomial		2009-09-25
		From jordan: find a polynomial of lowest degree with only real coefficients and having the given zeros. 1+2i, 2 (multiplicity 2) Answered by Penny Nom.
	Revenue		2009-09-25
		From Oneda: Charter Bus Fares - For groups of 80 or more people, a charter bus company determines the rate per person according to the formula rate = 8 - 0.05(n-80_, n >= 80 where the rate is given in dollars and n is the number of people question a) express the revenue R for the bus company as a function of n. Answered by Penny Nom.
	Cubic feet of concrete		2009-09-24
		From aLAN: How many CF of concrete does it take to pour a 1000 SF area with concrete at 4" thick? I would like to see the steps and how you approach this too...thanks Answered by Penny Nom.
	Game of 24		2009-09-24
		From vanessa: Using the following numbers 13,6,6, and 12 to equal 24. Using 5th grade math Answered by Penny Nom and Claude Tardif.
	Order of operations		2009-09-24
		From aman: my question is regarding the fact i have a formula which looks like this : (ratio 1 + ratio 2 divided by 2) so my question is do i add first then divide by 2 or do it all together Answered by Penny Nom.
	Sandra's age		2009-09-24
		From cindy: Sandra is more than 20 years old and less than 60 years old. You can count by 7's to reach Sandra's age. Next year you will be able to count by 5's to reach Sandra's age. How old is Sandra? Answered by Penny Nom.
	5 x 8 + 6 divided 6 - 12 x 2		2009-09-24
		From Susan: 5 x 8 + 6 divided 6 - 12 x 2. I am not sure of the rules of operation for this type of question Answered by Penny Nom.
	The worth of a word		2009-09-23
		From Kaliegh: If each letter of the alphabet is worth one cent more than the previous letter and the letter "a" is worth one cent. What words would have a worth equal to 1 cent,10 cents,50 cents,87 cents 64 cents and $1.00? Answered by Robert Dawson.
	Pennies, nickels and dimes		2009-09-22
		From Kiadadh: Show 12 ways to come up with 28 cents using only pennies, nickles and dimes Answered by Robert Dawson.
	Toss a coin and roll a die		2009-09-21
		From Celeste: Can you please tell me how to set up this problem to find the answer. I know they are independent from there I don't know. a coin and a regular six-sided die are tossed together once. What is the probability that the coin shows a head or the die has a 5 on the upward face? Answered by Penny Nom.
	A calculation from a ratio		2009-09-21
		From Rob: How do I calculate the height of a rectangle that has is 16:9 from only the width? For example a rectangle is 1000 wide, what is it's height if it is a 16:9 ratio? What is the formula? Answered by Harley Weston.
	24 golfers: 4 days		2009-09-21
		From Steven: We have 24 golfers (6 A's, 6 B's, 6 C's & 6 D's) playing 4 days. Each day a foursome consist of an A, a B, a C & a D player. Can you give me a pairing list so that no two golfers will play on the same foursome for the 4 days? Answered by Chris Fisher and Victoria West.
	Probability: selecting students in a particular order		2009-09-21
		From Rajshri: A class has 100 students with roll numbers 1 to 100. Six students are selected, one after another, at random to form a team. Find the probability that the roll numbers of first three students selected are in ascending order and the roll numbers of the last four students selected are in descending order. Answered by Robert Dawson.
	Hexadecagon		2009-09-20
		From Rick: Is there an easy way to figure the even side lengths of a Hexadecagon in layman's terms, so I know how long to cut the exterior support boards for my pool deck. The pool is a 16' diameter Hexadecagon and my Wife wants a 4' wide splash deck all the way around which would make the outside 24' in diameter. Answered by Chris Fisher and Harley Weston.
	Extraneous solutions		2009-09-20
		From iyana: what is an extraneous solution? what must you do to determine whether a extraneous solution? Answered by Stephen La Rocque and Harley Weston.
	Seven circles		2009-09-20
		From Bobbi: try to put number 1 to 7 in seven circles (one in the middle, 3 on top, 3 below) so the numbers in each row of three circles--vertical, horizontal, and diagonal -- add up to 12. Each number can be used only once. Answered by Stephen La Rocque.
	Grams to percent		2009-09-20
		From brandy: how do you convert 1.5 grams to a percent Answered by Stephen La Rocque.
	Segments of a ring gasket		2009-09-20
		From Robert: I am in the process of making an Excel spreadsheet in which our sales team just needs to enter the outside diameter, inside diameter, and number of segments to price ring gaskets that are too big to fit on a sheet of material and need to be cut into segments. With your help I was able to create a spread sheet that can calculate the Chord lengths, and Segment height on a single gasket segment. I am now stuck trying to come up with a formula to figure out the height of the second segment when it is stacked on the first segment, then use it to add more depending on the quantity of segments needed. I have an illustration below showing 2 segments (of a gasket that was segmented into 4 pieces) stacked together. I need to find a formula to get the dimension from "A" to "B". Answered by Harley Weston.
	Ordering numbers		2009-09-19
		From tattiana: how do you order these numbers from greatest to least .625,.75,.20, and .5 Answered by Penny Nom.
	A sequence		2009-09-19
		From Oliver: I am struggling to work out the missing terms in the following sequence: 1, 3, _, 7, 11, 18, _ Answered by Chris Fisher.
	What is my number?		2009-09-18
		From Hanna: What is my number? My number is a perfect square. The only number in its prime factorization is 2. My number is a factor of 32. The sum of its digits is odd. Answered by Penny Nom.
	Repeating decimal to fraction		2009-09-18
		From joan: how can i answer it easily to convert terminating decimal to fraction? example of this is that, convert ...143143143... to fractional form Answered by Robert Dawson.
	How long would it take the students to arrive at their campsite		2009-09-18
		From amanda: ..."A group of 5th grade student in New Zealand are going camping. They will hike from Wellingto to Ruapehu. Then they will follow a trail for another 1/2 mile to their campsite." Ok, 1 mile equals 5,280 feet. The class decided one step length is equal to 15 inches and there are 85 steps in 1 minute. Now for the question: About how long would it take the students to arrive at their campsite, if they don't make any stops??? Answered by Robert Dawson.
	Dart teams		2009-09-18
		From Sally: I have 14 dart teams. Each team has a home bar.Usually it is one week home, the next week away. I have 3 locations that have one board only, yet have 2 teams at each location. I have one location that has 2 dart boards, and 3 teams. The last location have 3 dart boards and 4 teams.Can you make me a schedule that will be home and away, and every teams plays each other twice. In case you are wondering, the bars sponsor the teams.Thank you. Sally Answered by Robert Dawson.
	solve integral of ( x^2+x+1)^5		2009-09-18
		From jaka: solve integral of ( x^2+x+1)^5 Answered by Robert Dawson.
	Exponential form		2009-09-18
		From karen: Q: Write the following in exponent from: a * a * a * a * * * a, where there are n -1 a's note: *asterisk means times. Answered by Penny Nom.
	Two equations in two unknowns		2009-09-18
		From Citizen: x+-3y=7 -x+4y=7 Answered by Penny Nom.
	Elliptic space		2009-09-18
		From Htet: What is elliptic space and geometry? Answered by Robert Dawson and Chris Fisher.
	how many ones are in 1 million		2009-09-17
		From djuan: how many ones are in 1 million Answered by Harley Weston.
	The method of substitution		2009-09-17
		From laura: ok! i really need help with this question plz help!! x= - 4y +5 x+2y = 7 Answered by Penny Nom.
	Surface area of a dome		2009-09-16
		From Charlie: Why is the calculation for the surface area of a domed tank less than the surface area of a flat top tank. Using domed tank formula 2*pi*r(r-(r-dome ht) works out to be less surface area than a flat top tank area formula pi*r x r, Shouldn't the dome have more surface area than the flat surface ? Answered by Harley Weston.
	at+b=ar-c, solve for a		2009-09-16
		From kimberly: at+b=ar-c, solve for a Answered by Penny Nom.
	10x-8 /3 =6x+24 /5		2009-09-16
		From Heidi: 10x-8 /3 =6x+24 /5.....I know the answer is 7/2 but how do I get there? Answered by Penny Nom.
	Cubes and squares		2009-09-16
		From Stanley: What is a three consecutive digit number like 5,6,7 , which is two less than a cube and two more than a square? Answered by Robert Dawson.
	Common multiples of 36 and 48		2009-09-15
		From Kamaldeep: Find the first 2 common multiples of 36 and 48. Answered by Penny Nom.
	Ordering fractions		2009-09-15
		From stacy: I need help with listing fractions from the least to greatest. last problem of math is 5/6,7/9,23/27,13/18? Answered by Penny Nom.
	Order from least to greatest		2009-09-15
		From myra: which list of number is ordered from least to greatest? A.) 0.035,0.35,2/5,2.5 B) 2.5,2/5,0.35,0.035 c)2/5,0.35,2.5,0.035 D) 0.035,2.5,0.35,2/5 Answered by Penny Nom.
	A trough of water		2009-09-15
		From Darrell: A trough that measures 4 feet long, 22 inches wide, and 18 inches high will be mounted on a support stand. If the trough weighs 50 pounds when empty, approximately how many pounds must the stand be able to hold when the trough is full of water? Answered by Penny Nom.
	Digging a trench		2009-09-15
		From Darrell: In digging a pipe trench that measures 29 feet long, 2 feet 9 inches wide, and 3 feet 6 inches deep, how many cubic yards of earth were removed from the site? Answered by Penny Nom.
	A sequence		2009-09-15
		From Derek: what are the next four numbers in this sequence 1/8, 1/4, 3/8, 1/2... Answered by Penny Nom.
	A trillion grains of rice		2009-09-14
		From akaila: can 1trillion rice grains fit in a classroom with the area of 144.4m3 Answered by Penny Nom.
	Quotient		2009-09-14
		From Jala: What is a quotient and what are the instructions for one? Answered by Penny Nom.
	Friends in a class		2009-09-14
		From pran: it is known that among any group of three students in a class two of them are friends. the total number of students is 25. prove that there is a student who has at least 12 friends Answered by Claude Tardif.
	The nth term of a sequence		2009-09-11
		From Michael: My son has this question as part of his key stage 3 maths homework- The nth term of a different sequence is n - 2/n^2. We've got to find the first three terms of the sequence. Answered by Claude Tardif.
	Domain and range		2009-09-11
		From Aubrey: I'm supposed to "state the domain/range of each of the following relations" and it's totally not making sense... Examples: {(x,y) : x = square root of y} {(x,y) : y = x + 1, x is some even integer} Thanks in advance!! Aubrey Answered by Robert Dawson.
	Average speed		2009-09-11
		From john: Sally travels by car from one city to another. She drives for 20.0 min at 68.0 km/h, 40.0 min at 37.0 km/h, and 51.0 min at 77.0 km/h, and she spends 12.0 min eating lunch and buying gas. What is the average speed for the trip? Answered by Penny Nom.
	The slope-intercept form		2009-09-11
		From Shelby: Write an equation in slope-intercept form of the line that is parallel to the graph of 3y-4x=1 and passes through (0,6) Answered by Penny Nom.
	Jogging and swimming		2009-09-11
		From Brandon: Trevor swims jogs 3 days and swims every 4 days. How often does he jog and swim on the same day Answered by Leeanne Boehm.
	Sagitta		2009-09-10
		From Robert: Can you please tell me if there is a formula to figure out the Sagitta of an arc when you know the radius, chord length, and arc length? Answered by Chris Fisher and Harley Weston.
	The volume of a closed 3D mesh object		2009-09-10
		From Ozen: I want to calculate the volume of a closed 3D mesh object having a surface made up triangles. Answered by Robert Dawson.
	4 number combinations		2009-09-10
		From jeremy: Here's my question... I've been playing the lottery, I know what a waste of time. I would like to know how many 4 number combinations can be derived from a set of 10 numbers, when no number can be repeated in the present string of 4 numbers being selected. Answered by Robert Dawson and Harley Weston.
	Bisecting rays		2009-09-09
		From frank: Ray OC bisects angle AOB, ray OD bisects angle AOC, ray OE bisects angle AOD, ray OF bisects angel AOE, and ray OG bisects angle FOC: if angle BOF=120 degrees, then find angle DOE? Confused! Answered by Penny Nom.
	Exponential form		2009-09-08
		From hanna: hi, well i am really bad in math and i have a math paper and i was just wondering what 3x3x3x3x3 was in exponential form and what is exponential in a way a person like me would understand? Answered by Penny Nom.
	A ladder leaning against a wall		2009-09-08
		From Mackenzie: A 7 foot long ladder is leaning against the building. The foot of the ladder is 2 feet from the base of the building. How far up the wall is the top of the ladder? Answered by Stephen La Rocque.
	A circular border around a pool		2009-09-08
		From Calvin: A pool in the shape of a circle measures 10 feet across. One cubic yard of concrete is to be used to create a circular border of uniform width around the pool. If the border is to have a depth of 3 inches, how wide will the border be? ( 1 cubic yard=27 cubic feet ) Answered by Stephen La Rocque.
	Helen has twice as many dimes as nickles.		2009-09-08
		From Dan: Helen has twice as many dimes as nickles. She has 5 more quarters than nickles. She has $4.75. How many nickles does she have? I know she has 14 dimes, 7 nickles and 12 quarters. How do you put this into an algebra equation? Answered by Stephen La Rocque.
	A triangle on a sphere		2009-09-07
		From Rohit: How do I find the angles of a triangle drawn on a sphere (spherical triangle)? Answered by Chris Fisher.
	f(x + h)-f(x)		2009-09-07
		From Marie: For each function defined as follows, find a.) f (x+h) b. f(x+h)-f(x) c. [f(x+h)- f(x)]/h. Problem: f(x)= -1/ x^2. Answered by Harley Weston.
	10 golfers		2009-09-06
		From Bill: We have 10 golfers scheduled to play over five days on vacation in November. Each day we will play in three groups of three and one foursome. Is there an optimum solution that would assure that every golfer plays with every other golfer at least once while no golfer plays an inordinate number of times with any other golfer or too often in a foursome? Answered by Victoria West.
	Divide and reduce to lowest terms.		2009-09-06
		From Karen: Divide and reduce to lowest terms. Use the cancellation technique as needed 4 2/3 divided by 12 14/3 divided by 12/1 not sure wheer to go from here with the cancellation technique Answered by Penny Nom.
	4 couples seating themselves at a round table		2009-09-04
		From Hui: Q: 4 couples seating themselves at a round table. Men must seat together and women seat together. How many ways are there? Answer in the printed text is 576. I got 144. Pls advice. Answered by Claude Tardif.
	Paddling downstream		2009-09-04
		From Nicole: You head downstream on a river in a canoe. You can paddle at 6 km/h and the river is flowing at 2.4 km/h. How far downstream will you be in 55 minutes? Answered by Penny Nom.
	A three digit number		2009-09-04
		From Mark: How many 3 digit positive integers are odd and do not contain the digit 5? Answered by Penny Nom.
	A four-digit positive integer		2009-09-04
		From TRACEY: I AM A FOUR-DIGIT POSITIVE INTEGER SUCH THAT THE SUM OF MY DIGITS IS 18 AND MY DIGITS REVERSED ARE EXACTLY FOUR TIMES GREATER THAN MYSELF. WHAT NUMBER AM I? Answered by Robert Dawson.
	Simplify		2009-09-04
		From Sarah: How do you simplify: (x-4)^3? Answered by Robert Dawson.
	Airline overbooking		2009-09-03
		From Nikita: An airline company knows that 8% of it's passengers will not show up for their scheduled flights. A plane has 175 seats. a) What is the probability that 10 passengers or fewer will not show up? b) What is the probability that 10 to15 passengers will not show up? c)What is the probability that exactly 10 passengers will not show up? d) What is the probability that more than 19 passengers will not show up? Answered by Robert Dawson.
	Nickels and dimes		2009-09-03
		From MATTHEW: mike has 3 times as many nickels as Larry has dimes. Mike has 45 cents more than Larry. How much money does Mike have? Answered by Penny Nom.
	A 30% markup		2009-09-02
		From Lisa: Ok i want to mark a products up 30%, I would take 5.00X3o%,but my boss does it another way I have yet to figure out he takes cost divided by 70% or something like that I am so lost can you help? PLEASE Answered by Victoria West and Penny Nom.
	Show your work		2009-09-02
		From Gerald: We have a 6th grade student who can solve math problem successfully without showing her work. The teacher thinks it is not fair that she doesn't show her work and the other have to and do. What sort of classroom accommodation(s) would you recommend for this type of student. It would seem to be a popular problem since there are many student who think more global than sequential. Answered by Victoria West, Penny Nom and Robert Dawson.
	Normal Distribution		2009-09-02
		From Nikita: Scores on a college exam are known to be normally distributed with a standard deviation of 20. If the top 3% have scores in excess of 200, what is the mean score? Answered by Robert Dawson.
	The intersection of two graphs		2009-09-02
		From Jaqueline: Find the points of intersection of the graphs of the equations x^(2 )+ y^2=25 and 2x + y = 10 Answered by Penny Nom.
	Is -100 degree angle an acute angle?		2009-09-02
		From Nazrul: Is -100 degree angle an acute angle? Please explain. Here -100<90. Answered by Robert Dawson.
	Price increases and decreases		2009-09-02
		From craig: I work for an industry that bases it price increases and decreases on commodity pricing - Customer get confused on how/why we calculated new prices due to movement in the market - Price go up x% for every $10 of movement in the market - For this example- Movement went down by $30 and it is 2% for every $10 - so price decrease was 6%. Customer's price is currently $100. We say - $100/1.06= new price of $94.3 Customer says - $100*.94= new price of $94. They don't understand that if board went back up $30 which would be 6% increase, they wouldn't be back at $100 if they multiplied on the price decrease. $94*1.06=$99.64 vs. $94.3*1.06=$100 (Back to the original price) What is the best way to explain to customer besides using this example? Any help or info is appreciated. Craig Answered by Victoria West.
	Nickels, dimes and quarters		2009-09-02
		From danielle: In changing a $5 bill, Sarah received nine more dimes than nickles and seven fewer quarters than dimes. How many coins of each type did she receive? Answered by Penny Nom.
	Zero Angle		2009-09-01
		From Nazrul: Is zero degree an acute angle? Please explain. Answered by Janice Cotcher.
	Arithmetic Sum & Sequence		2009-09-01
		From Alice: Find the 24th term of this sequence 6.8,8.0,9.2... Find the sum of the first 21 terms Answered by Janice Cotcher.
	What is 8 tons in exponential form?		2009-09-01
		From Tyler: what is 8 tons in exponential form Answered by Penny Nom.
	Cardinality of infinite sets		2009-09-01
		From Brian: I was reading an answer to a question on your site regarding infinite sets (http://mathcentral.uregina.ca/QQ/database/QQ.09.01/carlos1.html), and I think they may have got the answer wrong. I his example, he claims that the set of real numbers BETWEEN 0 AND 1 is larger than the set of positive integers. Please correct me if I am wrong, but I believe those two sets are -- pardon the expression -- equally infinite. For any integer, there is a corresponding real number between 0 and 1, and vice versa. For instance, using the decimal as a "mirror", you can create a mirror image of any real number between 0 and 1 as an integer (i.e. 0.1234 gets mirrored as the integer 4321 -- I could write it out algebraically, if you want, but you get my point) Am I wrong? Thanks, Brian Answered by Victoria West.
	I have 9 players 4 rounds of 3		2009-08-31
		From Larry: I have 9 players 4 rounds of 3. I need each player to play one timw with everyone in the group Answered by Victoria West.
	The sum of digits of 4444^4444		2009-08-31
		From SHIVDEEP: The sum of digits of 4444^4444 is A .The sum of digits of A is B . Find the sum of digits of B ? Answered by Claude Tardif.
	Combinations		2009-08-31
		From Joe: I'm trying to find out how many combinations are possible out of 1-8 using only 4 numbers, but with no repetition of a single number in the 4 number sequence. EX: 2,3,2,5 wont work. Is it possible to create a list, and if so did my calculator lie to me when i got 70 as an answer? Answered by Penny Nom.
	Exponential form		2009-08-31
		From cecil: what is the exponent form 564000? Answered by Stephen La Rocque and Harley Weston.
	Quadratic equations		2009-08-30
		From jovian: how can i find the quadratic equation of the roots 2/5 and -1/3? Answered by Stephen La Rocque.
	The equation of a circle		2009-08-30
		From tagbo: find the eqn of circle passing through (-1 1) and (-1 -4)and whose radiusis 5/2 Answered by Stephen La Rocque.
	An area problem		2009-08-30
		From Amber: Area of hexagon ABCDEF with the vertices (3,0) (7,0) (9,2) (7,4) (3,4) (1,0) Answered by Harley Weston.
	Investing in four accounts		2009-08-29
		From Kenneth: Hello: An investor wants to divide $1000.00 into four amounts or accounts -- one account earning 2%, the second account earning 5%, the third earning 9%, and the fourth earning 12%. He wants the overall total return to equal 5%. What are some of the monetary amounts that can be invested into these four accounts to earn him the 5% total return, 5% of $1,000.00? Answered by Penny Nom.
	Simultaneous equations		2009-08-28
		From onias: solve 3/a - 2/b = 1/2 , 5/a + 3/b = 29/12 Answered by Robert Dawson.
	y=2x+1 and y=2x-1		2009-08-28
		From MARICELA: Need help of how to work this problems y=2x+1 and y=2x-1 First of all what is the difference? Second I think is easy just to work with the X y with the line in the middle but how do you get the numbers for each side. Answered by Penny Nom.
	x^x = 1		2009-08-28
		From Waleed: x^x=1 Answered by Robert Dawson.
	Chickens and pigs		2009-08-28
		From David: A farmer has a number of chickens and pigs. There are 24 heads and 80 ft. How many pigs and how many chickens are there? Answered by Robert Dawson.
	The distance traveled on a bike		2009-08-28
		From Dennis: I would like to calculate the distance traveled on a bike based on the size of the tire and on the number of revolutions per minute. This is based on the rider traveling at a constant speed. Answered by Stephen La Rocque.
	A number puzzle		2009-08-28
		From Angela: Taking 1 through 9 and using them only once subtract them to equal 33333 Answered by Chris Fisher.
	The game of 24		2009-08-27
		From ANITA: Help I'm suppose to be a math expert, yet I can not yield 24 from the numbers 8,4,9,9, using each only once. HELP Answered by Penny Nom.
	Percentage price change		2009-08-27
		From alicia: what is the percentage price change between R66-R10 if the answer between the two is R56 Answered by Penny Nom.
	2(x-4)>-4+2x		2009-08-27
		From jorna: 2(x-4)>-4+2x Answered by Penny Nom.
	The game of 24		2009-08-26
		From melvi: how can you get the numbner 24 but only useing the numbers 7,5,4,5 Answered by Penny Nom.
	How do you convert cents/mile to dollars / hour?		2009-08-26
		From seanna: how do you convert cents/mile to dollars / hour Answered by Penny Nom.
	The taxable part of an invoice		2009-08-25
		From Carol: Question from CAROL: THE INVOICE TOTAL IS 2731.90 BUT IT DOES NOT SHOW WHAT THE NET AMOUNT IS THAT THE STATED GST OF 121.90 IS. HOW DO I CALCULATE THE NET AMOUNT THAT THIS GST AMOUNT REFERS TO? Answered by Harley Weston.
	How deep is the hole?		2009-08-25
		From Scott: If I have a hole three foot in circumference that runs at a 15degree angle from the surface and continues for a length of 100 feet, how deep would the hole be at 100 feet? Answered by Penny Nom.
	Fact families		2009-08-24
		From Camasha: I am trying to help my daughter with fact families. I understand the premise from your previous explanation on the site . Generally when applying addition and subtraction their are two add and two subtraction utilizing all three numbers. However what do you do when you have a series like like 9, 9, 18 Answered by Penny Nom.
	The ratio of girls to boys in class is 4:3		2009-08-24
		From Linda: The ratio of girls to boys in class is 4:3. Total of 35 students, how many more girls than boys? Answered by Penny Nom.
	Factoring		2009-08-23
		From Bj: Solve for x: 5x^2 - 35x = 0 Answered by Stephen La Rocque.
	Linear equations		2009-08-23
		From shwetha: The length of a rectangle is greater than the breadth by 18 cm. If both length and breadth are increased by 6 cm then area increases by 168 cm square. Find the length and breadth of the rectangle. Answered by Stephen La Rocque.
	The area of a rectangle		2009-08-21
		From roxanne: the dimensions of the rectangle: 3x length and 4x width. What is the area of the rectangle in square units? Answered by Penny Nom.
	Unlocking my suitcase		2009-08-21
		From Jamboree: I need to have all the possible combination of three digit between 0-9, i have seen the answer that there are 720 combination are there. Could you please show me all those combination numbers so that i could try it out to unlock my suitcase, will you please write it down all those combination and send it to me Answered by Victoria West.
	Average speed		2009-08-20
		From Christina: We ran 3.4 miles in 40 minutes. What was our average speed? Answered by Leeanne Boehm.
	Graph 2x-3y+15=0		2009-08-20
		From Diem: Graph 2x-3y+15=0 Answered by Leeanne Boehm.
	Arrangements		2009-08-20
		From Anna: How many arrangements of FATHER can be made if all the vowels must be kept together? Answered by Leeanne Boehm.
	Comparing Fractions		2009-08-20
		From smilegrlal: please order these number in least to greatest 7/8, 5/9, 2/3 Answered by Leeanne Boehm.
	A 5 foot strip around a building		2009-08-20
		From Robert: I am having a problem at work that I am hoping someone can help me figure out. I have a pest control company and we are pretreating the soil for a new hospital being built. The company that we are working has asked to also treat a 5 foot strip around the entire building and for us to get paid we need to figure out what the square footage of this 5 foot strip around the building that we are treating. The structure being built is a hospital and as you can imagine the building has all kinds of nooks and offsets and even some of the wall are cruved more like a circle. I already know the square footage of the building itself because they gave us this information. The square footage of the building is 120,000 SqFt. I would greatly appreciate if someone can help me figure out the square footage of a 5 foot strip around a 120,000 SqFt building who's walls have a lot of insets and odd shapes. I don't if someone can figure out the square footage of the 5 foot strip with the information I gave. I would greatly appreciate any help that you can give me. I need this information for work because we charge for pretreatment of soil by the square footage of the area to be treated and I need this information so that I don't over charge the company we are working for or so I don't cheat myself either. Any and all help we be greatly appreciated because I don't know who else that can help me. Answered by Victoria West.
	Fourth and fifth degree polynomials		2009-08-20
		From Evin: hello.i am a student . ax^4+bx^3+cx^2+dx+e=0 x=? i want to learn the solution or formula of equations of the fourth and fifth degree...PLEASE Answered by Robert Dawson.
	Ms. Zoe's garden		2009-08-20
		From Carisa: Ms. Zoe has a few dilemmas. She plants a garden each yr. & last yr. the rabbits ate her tomato plants. She has limited space which is 8ft by 4ft. & wishes to maximize the space. Ms. Zoe is considering 3 possible shapes. Those shapes are a rectangle, a triangle, or a polygon. She needs to buy fencing materia to enclose the garden & wants to get the biggest bang for her money. Each tomatoe plant req. 4 sq.ft to so she needs to know the # of plants to purchase & also needs to how much fence to buy. Basically I needs to know how to figure the perimeter & area for the polygon Answered by Robert Dawson and Harley Weston.
	Making a cone		2009-08-19
		From angela: how can i make a cone with a 6cm of heigth and has 2cm radius in the opening?? Answered by Stephen La Rocque.
	A paper towel roll		2009-08-19
		From Jeff: I am making a spiral tube with paper that is 2" in dia. and 102" long I will be using paper that is slit 3" wide how many lineal feet of paper will I need to to cover the 102" I will be using 3 rolls of paper that will over lap the other by half to make a hard tube (paper core) in a roll of paper towels Thanks Jeff Answered by Penny Nom.
	Golf for 15		2009-08-18
		From Judy: We have a group of 15 golfers that play a scramble with groups of 3. The problem is we play for 14 weeks. We want every player to play at least once with everyone and no more that 3 times. I am working on this and have just about accomplished the schedule, but with a few playing more than 3 times. I'm sure there must be some mathematical calculation to do this but I have yet to figure it out. Answered by Victoria West.
	Find the central angle		2009-08-18
		From Larissa: In a circle, the length of a chord AB is 4 cm and the length of the arc AB is 5 cm. Find the central angle theta, in radians, correct to four decimal places. Then give the answer to the nearest degree. I think I'm supposed to use Newton's method, but am not sure how to start with this problem. Answered by Harley Weston.
	The layout of an arch		2009-08-18
		From Steven: I am trying to layout a large radius between 2 points in a building and need a formula to figure different senarios for example: radius is 187'6" distance between 2 points is 34'8" need points 16" apart along the line between the 2 points to create the radius please help Answered by Stephen La Rocque.
	Sequence problem		2009-08-18
		From James: I have the equation: tn = (n)(n+1)/2 Which gives the sequence: 1, 3, 6, 10, 15 etc. However, I'd like to be able to solve for n. So that a t of 6 would give me the answer of 3, and t of 10 would give me the answer 4 etc. Answered by Stephen La Rocque and Victoria West.
	Big and small widgets		2009-08-17
		From Leanne: A machine makes big widgets. Another machine makes small widgets. 3 small widgets have the same mass as 2 big widgets. It takes the same amount of time to make 3 big widgets as it does to make 5 small widgets. The machines start at the same time and make widgets until the total mass of all the widgets made is equal to the mass of 380 small widgets. What is the total number of widgets made? (Please include workings). Answered by Penny Nom.
	The median is greater than the mean		2009-08-14
		From Shawna: If the median is greater than the mean on a set of test scores, describe the situation. Answered by Robert Dawson.
	How do i convert 6 feet into yards?		2009-08-14
		From taylor: how do i convert 6 feet into yards????????????????? Answered by Robert Dawson.
	A football schedule		2009-08-14
		From Bill: I am having trouble with a football schedule that has two divisions of five teams each, 1-5 and 6-10. 1-5 will play against each other in the first 4 weeks and also the the last 4 weeks with teams 6-10 completing the middle of the schedule. The schedule is 13 weeks. Thank you for your time Answered by Chris Fisher and Victoria West.
	An antiderivative problem		2009-08-13
		From Indrajit: ∫4e^x + 6e^-x/(9e^x + 4e^-x)dx = Ax + Bloge(9e2x - 4) + C then A=?......B=?.....C=? plz solve it...."^" stands for "to the power of".... Answered by Harley Weston.
	A rectangular pen		2009-08-13
		From Kari: A rectangular pen is to be built using a total of 800 ft of fencing. Part of this fencing will be used to build a fence across the middle of the rectangle (the rectangle is 2 squares fused together so if you can please picture it). Find the length and width that will give a rectangle with maximum total area. Answered by Stephen La Rocque.
	Fitting the curve y=a*exp(b*x)+c		2009-08-12
		From aika: Could one show me the complete algorithm and formula for finding the coefficients (a,b, and c) in exponential regression model y=a*exp(b*x)+c Answered by Robert Dawson.
	Solve for s		2009-08-12
		From Michelle: My daughter and I are having trouble with this problem...All it says i solve thr formula for the indicated variable. Height of an Equilateral Triangle. Solve for s: H= square root of 3/2 * S Answered by Penny Nom.
	The volume of a telephone pole		2009-08-11
		From robert: 12.5"@ base x 7" @ top and 40' height. How would I find the volume in cubic feet for a telephone pole with these dimensions? Answered by Harley Weston.
	The volume of a tapered pole		2009-08-09
		From robert: what is the formula to use to come up with cubic feet in a tapered pole Answered by Harley Weston.
	Gravel in an aquarium		2009-08-09
		From Bev: Hi...I worked this part out, but want to know how many kilograms of gravel I will need...thanks Bev Cylinder shape. A cylindrical shape that has a radius of 82 centimeters and a depth of 7 centimeters has a volume of: Volume = 0.14787 cubic meters = 147870 cubic centimeters = 0.1934 cubic yards = 5.2219 cubic feet = 9023.5 cubic inches = 39.063 U.S. gallons = 147.87 liters * calculations accurate to 5 decimal places of precision Answered by Harley Weston.
	The leaning tower of Pisa		2009-08-09
		From MF: Would you have any idea how the 'latitude of 44 degrees N" has anything to do with this question and how I would apply it? The leaning tower of Pisa leans toward the south at an angle of 5.5 degrees. One day near noon its shadow was measured to be 84.02 m long and the angle of elevation from the tip of the shadow to the top of the tower was measured as 32.0 degrees. To answer the question, assume that the tower is like a pole stuck in the ground, it has negligible width. Also, it is important to know that Pisa Italy is at a latitude of approx 44 degrees North because this affects the direction of the shadow.) Answered by Stephen La Rocque.
	Two cars		2009-08-09
		From Jayna: If a car was traveling 20mph east and another car was traveling 30mph west, assuming they were 300 miles apart, at what point would they collide at the center? Answered by Penny Nom.
	Subtraction base 5		2009-08-09
		From Nikki: can you help me how to do subtraction in base 5 notation. example is 3434 - 51? how do you do this in base 5? can you please explain how you do this & the answer as i have no idea. Thank you kindly Nikki Answered by Harley Weston.
	An isosceles triangle		2009-08-09
		From Megan: Find the perimeter of an isosceles triangle with a verticle angle of 100 degrees and a base of 25 cm. I think I could answer this if I knew what a verticle angle was. Thanks Answered by Stephen La Rocque.
	Eye Height Level Found from Visual Angle		2009-08-07
		From Jolie: Hello, I am trying to figure out what height from the ground a person's eyes are if they have a 12 degree visual angle to a screen that is 58cm away from their eyes? Thank you. Answered by Janice Cotcher.
	An infinite set		2009-08-07
		From Islam: How can I prove that the set of all odd natural numbers is an infinite set. Thank you. Answered by Robert Dawson.
	The length of tape on a reel		2009-08-06
		From Philiip: What diameter reel would be required to roll up 1000 meters of tape that is 0.01 mm thick such that the final role left 10 mm empty space between the top of the roll and the outside of the reel, the hup that the tape was wound on was 2 cm? Answered by Stephen La Rocque.
	Number of Concrete Blocks		2009-08-06
		From Simone: Hi there, I have a quote to complete and I need to figure out the formula that will tell me how many concrete blocks I need to cover a certain area. Blocks can either be 8in or 12in. The area that I am looking to cover with blocks is 30182 sq ft. Thank you for your assistance. Answered by Janice Cotcher and Stephen La Rocque.
	30 students		2009-08-06
		From Peter: Question from Peter, a student: Can you please help with the following questions? (a) It is known that among any group of the three students in a class two of them are friends. Total number of students is 25. Prove that there is a student who has at least 12 friends. (b) There are 30 students in a class. They sit at 15 double desks, each one is for two students. Half of the girls sit with boys. Is it possible to make a rearrangement so that half of the boys sit with girls? Answered by Penny Nom.
	Exponential form		2009-08-05
		From motaz: Let x = log_2 1/8 Write the exponential form of the equation and solve the equation for x Answered by Stephen La Rocque.
	Susan's RRSP		2009-08-05
		From Polly: Susan contributed $500 every 6 months for 14 years into a RRSP earning interest @ 7.5% compounded semi-annually. Seven years after the last contribution Susan converted the RRSP into a RRIF which is to pay her equal 1/4 payments for 16 years. If the first payment is due 3 months after the conversion into the RRIF and the interest on the RRIF is 9% compounded 1/4, how much will Susan receive every 3 months? Answered by Stephen La Rocque.
	Percentage decrease		2009-08-04
		From Bill: How to calculate the Percentage Increase or Decrease of a $ value. Example - Site Spend for 01-01-2008 thru 07-31-08 was $ 3,465,660 Site Spend, 2009 YTD as of 07-31-09, was $ 1,673,405 Site Spend down what % between these two amounts ? Answered by Penny Nom.
	Angular speed		2009-08-04
		From Mary: The engine of a sports car rotates at 5000 revolutions per minute (rpm). Calculate the angular speed of the engine in radians per second. Use 2 radians = 1 revolution. Answered by Penny Nom.
	Tossing a penny 26 times		2009-08-04
		From Basma: Jack is going ot toss a penny 26 times. How many times should it land on heads? Answered by Robert Dawson.
	A spherical dome		2009-08-03
		From Eric: I have recently been asked to resurface a dome sculpture for my local council but i'm having problems working out the area. Here are the dimensions. The height of the dome is 3m from the ground to the top of the arc. The arc itself from the ground rising up to the 3m point and back down, is 10m. The dome is 7m wide from one side to the other through the centre, at ground level. I hope there is enough detail here. It's been a long time since i was in a maths class. Thank you, hope to here from you soon! Answered by Stephen La Rocque.
	I expect to retire in 12 years		2009-08-03
		From Polly: I expect to retire in 12 years. Beginning one month after my retirement, I would like to receive $500 a month for 20 years. How much must I deposit into a fund today to be able to do so if the rate of interest on the deposits is 12% compounded monthly? Answered by Stephen La Rocque.
	HCF		2009-08-03
		From Nazrul: If (x+ a) be the H,C.F. of x^2+px+q and x^2+mx+n, prove that (p-m)a=q-n Answered by Stephen La Rocque.
	Math in everyday life		2009-08-03
		From Naveen: Dear sir, We are advised to do a project on "Mathematical modeling to solve various problems of our everyday life/environmental related problems...... Can u plz help us by mailng some ideas, suggestion,reference to make my project successful.... Thanking you...... Waiting for your favourable reply...... Answered by Penny Nom.
	Two circles		2009-08-03
		From Karan: We are given 2 circles with radii 12cm and 3 cm. We have to find AB Answered by Penny Nom.
	A cone with the top cut off		2009-08-02
		From Paul: I am making a cone with a diameter of 1300, a base of 500, a side length 800. I need to workout so I can draw it out flat, cut it out, and make into a cone. Answered by Harley Weston.
	A walkway around a flower garden		2009-08-01
		From Barbara: A rectangular flower bed measuring =C2=A0 10 feet by 15 feet =C2=A0 has a surrounding walkway on all sides that measure 186 square feet. How wide is the walkway? Answered by Harley Weston.
	root 2 is irrational		2009-07-31
		From prateet: prove that root2 is an irrational number. Answered by Robert Dawson.
	Fencing five acres		2009-07-31
		From Aaron: Ok So I need to order fencing for my property I have 5 acres and would like to fence in the perimeter, I cant for the life of me figure out how many feet of fencing to order for help please im an idiot. Answered by Robert Dawson.
	Two word problems		2009-07-31
		From Lee: 1) a student saved $50.25 in one month. at that rate how long will it take the student to save $700? 2) for summer job, martin shampooed rugs. he could finish a 4mx 4m rug in 30 min. his supervisor could finish a similar:smaller rug in 20 min. how long would it take for them to finish the rug if they worked together? Answered by Robert Dawson.
	sinA-cosA=1		2009-07-30
		From Nazrul: How can I solve sinA-cosA=1 where 0 degree<=A<=90 degree. Thank you. Answered by Harley Weston.
	Two equations in two unknowns		2009-07-30
		From Alicia: I need help with the following equation please show me the steps to complete so that I will know how to do this my self. 2x-y=2 5x+y=5 Thanks for the help Answered by Penny Nom.
	A pentagon inscribed in a circle		2009-07-29
		From Faisal: O is the center of the circle. Sides AB and AE are equal. Angle B = 95, angle C = 130, angle D = 138. Find angles A and E. Diagram is attached. Best, Faisal Answered by Chris Fisher.
	Dimensions		2009-07-29
		From Deborah: The blueprint for landscaping a yard has a scale of 1/2" to 1 foot. If the blueprint is a rectangle 18 inches by 22 inches, what are the dimensions of the yard? Answered by Robert Dawson.
	Things equal to the same thing		2009-07-29
		From nazrul: If p^2-pa+q=0 and m^2-ma+n=0 , can we write p^2-pa+q= m^2-ma+n? Please explain. Answered by Robert Dawson.
	Torricelli's trumpet		2009-07-29
		From Gary: I was reading about torricelli's trumpet which is described by the equation1/x which is then rotated around the x axis which results in a figure which looks like a trumpet. Now in order to find the volume the integral 1/x^2 dx is used which diverges when integrated so the volume is finite.However if you integrate 1/x dx which is the formula on the plane the answer diverges. Now if you took an infinite area then rotated it around the x axis shouldn't you get an infinite volume? Notice the area I am talking about is under the line 1/x not the surface area of the trumpet which is what the painters paradox is about What am I missing? Thanks Answered by Robert Dawson.
	Highest Common Factor of Two Polynomials		2009-07-28
		From Nazrul: If x+a be the h.c.f. of x^2+px+q and x^2+mx+n, how can I prove that (p-m)a=q-n. Answered by Robert J. Dawson & Janice Cotcher.
	Constructing an isosceles triangle		2009-07-27
		From Sanjay: How to construct an isosceles triangle ABC with a base BC = 5.4 centimetre and altitude AD = 4.7 centimetre? Please help. Answered by Janice Cotcher.
	Intersection of Two Curves		2009-07-27
		From Amarah: Find the coordinates of the point A( this point is where the two lines intersect). Justify answer question : here is a curve x^y =y^x (for x,y>o) Answered by Janice Cotcher.
	How can I trisect an angle?		2009-07-27
		From Nazrul: How can I trisect an angle? Answered by Robert Dawson.
	The inverse of F(x)=x^2-6x+13, for x>3		2009-07-26
		From Juan: The function F is given by F(x)=x^2-6x+13, for x>3. A. Write F(x) in the form (x-a)^2+b B.Find the inverse function F^-1 C.State the domain of F^-1 Answered by Penny Nom.
	Inequalities Proof		2009-07-24
		From ABOU: good morning.......a b c are real positive no zero......proof that sq root(2a/(a+b))+sq root(2b/(b+c))+sq root(2c/(c+a))inferior or equal 3 thank you Answered by Janice Cotcher.
	Properties of Natural Numbers		2009-07-24
		From nazrul: If m,n,k are natural number how can I prove that (m+n)k=mk+nk. In the proof the properties of natural number should be used. Answered by Janice Cotcher.
	Finding the Common Difference and Number of Terms of an Arithmetic Sequence		2009-07-24
		From Juan: In an arithmetic sequence, the first term is -2, the fourth term is 16 and the nth term is 11,998 A. What is the common difference? B. What is the value of n. Answered by Janice Cotcher.
	Proof of a Unique Solution		2009-07-24
		From muele: Find matrix A such that A is not invertible, and b such that Ax=b has a unique solution Answered by Robert J. Dawson.
	Finding Supplementary Angles		2009-07-24
		From emir: Answered by Robert J. Dawson.
	Circular Measures		2009-07-24
		From onyeka: find the equation of a circle with point [3,7][5,5] and wich center lies on the line x-4y=1 Answered by Robert J. Dawson.
	A degreaser for a fish tank		2009-07-23
		From charlie: I have a tank that is 10 feet in diameter that I want to put floating degreaser in.The rate for the degreaser is 1/2 gallon per square foot of surface water.How do I figure out how many gallons I need? Answered by Penny Nom.
	A father and son problem		2009-07-23
		From yomi: five years ago, a father was 3 times as old as is son, now their combines age's amount 110 years. what is the present age of the father? Answered by Penny Nom.
	Golfing with an unpopular golfer		2009-07-23
		From Ian: "We are a group of 8 golfers, one of whom is unpopular. How can we construct a schedule, of two foursomes, so that each person is scheduled to play with him the same number of times. What does the week by week schedule look like?" Answered by Robert Dawson and Victoria West.
	Units digit		2009-07-23
		From Jyll: How do solve for the units digit? And that, what is the units digit of the first 1000 prime numbers? Answered by Robert Dawson.
	Inequalities		2009-07-22
		From Sindhu: prove that 4^79 < ( (2^100) + (3^100) )< 4^80 ? Answered by Robert Dawson.
	Buying pens and staplers		2009-07-22
		From Ellen: one more math question, six pens and four staplers cost $7.10. four pens and seven staplers cost $9.50 find the cost of one pen and one stapler. Answered by Penny Nom.
	Selling fish		2009-07-22
		From Hemantee: A fishmonger bought 150kg of fish. he sold 70%of it at the price of Rs90 per kg and the rest at Rs 75 per kg. he made a profit of 42.5 per cent. how much did he pay for the fish. Answered by Penny Nom.
	A sundial on an elliptical cylinder		2009-07-22
		From Leo: I want to build a sundial where the shadow falls on an elliptical cylinder. I can calculate the coordinates of the points on the cylinder that I want to mark. My problem is that I will have to make the surface as a flat sheet and bend it into an elliptical shape. However, I cannot work out a scheme to transfer the coordinates I know into a distance that will work when I bend the shape. Help! Answered by Robert Dawson.
	Area under curve		2009-07-21
		From Morag: What is the area bounded by the curve y=X^2(2-X) and the x axis between x=0 and x=2? Answered by Janice Cotcher.
	The girl guides bake sale		2009-07-20
		From Barbra: here is two questions i need help with, 1.)A toastmasters tea was attended by 550 people. Students paid 75 cents for their tickets, and the adults paid $1.20. if the recipts totaled $525, how many adults and how many students attended? 2.) One cookie and six bars cost $2.00 at the girl guides bake sale. At the same sale, three bars and six cookies cost $2.10. Find the cost of one cookie and the cost of one bar. Answered by Penny Nom.
	Markup and margin		2009-07-20
		From Deanna: What is the difference between a margin percent and a point margin? For instance. A co-worker sells product. If the wholesale cost of said product is $.20, she multiplies that by 1.7 to get her selling price of $.34. To me, that is a 70% margin on the product (our company is making 70% on top of the purchased price). She considers it a 30 point margin, but to me it is 70%. Does that make sense? Any help? What is the difference between a point margin and a percentage? Answered by Harley Weston.
	Annular sector		2009-07-20
		From Ed: What is the name for the section of a flat ring (annulus)? Similar to a section on a radar screen, a quadrilateral but the top and bottom are curved. Answered by Robert Dawson.
	Foiled by foil		2009-07-20
		From RAY: how u do the foil ? the question (x+4)(x+5) Answered by Robert Dawson.
	A golf league with 12 players		2009-07-17
		From Jane: My weekly golf league has 12 players in 4 threesomes. How many weeks would it take to play everyone once and not have too many duplications? What would be the schedule each week? Thanks Answered by Victoria West.
	Portion of Work		2009-07-17
		From Ellen: A girl can shampoo the dog, clean his ears, and clip his nails in 45 minutes. Her sister can do it in 60 minutes. How long will the job take it they work together? Answered by Stephen La Rocque.
	Percentage of Acid		2009-07-17
		From Leeanne: here is my question: a chemist has 200 liters of solution that is 5% acid. how many liters of water (0% acid) must he add to make a solution that is 4% acid? Answered by Stephen La Rocque.
	Rearrangements of 8028842		2009-07-17
		From Con: How many different 7-digit numbers can be made by rearranging the digits in the number 8028842? Answered by Penny Nom.
	Pre-Algebra Resources		2009-07-16
		From M: What is the best pre algebra book that is inexpensive and will really help me to understand pre algebra? Answered by Janice Cotcher.
	Finding the Line Joining Perpendicular Feet		2009-07-16
		From mukulu: Please help I've been tryng to search in your data but i failed to get the solution Find the equation of a straight line joining the feet of the perpendiculars drawn from the point A(1,1) to the line 3x-3y-4= 0 and 3x+y-6=0. Answered by Janice Cotcher.
	Flying with the sun in view		2009-07-15
		From Randee: If you wanted to fly in a plane, with a constant "just setting" sun in view, where would you start, what time of day, and what would the altitude and air speed need to be? Answered by Robert Dawson and Stephen La Rocque.
	A side of a rectangle		2009-07-15
		From hanbal: Could please help solving this problem A(1,3) and D(5,5) are two vertices of a rectangle ABCD. The equation of line AC is 3y=4x + 5 Find a) the equation of line DC Answered by Chris Fisher.
	The lateral area of a cone		2009-07-15
		From ashley: What is the radius of a cone with the lateral area being 443.3 mm^2 and the slant height being 14.7 mm. Answered by Penny Nom.
	Profit as a percentage		2009-07-15
		From Jay: If I buy an item for $3.00 and sell it for $6.00. What is my percentage of profit? Answered by Penny Nom.
	Filling a hole		2009-07-14
		From BARRY: I HAVE AN AREA THAT i NEED TO FILL WITH DIRT AND AM TRYING TO FIGURE OUT THE CU. YDS NEEDED. tHEY CIRCUMFRANCE OF THE HOLE IS 28' ROUND AND SLOPES FROM 2.5 FEET AT ONE END TO 0 ' AT THE OTHER. OVERALL THE HOLE IS 30' LONG BY 30' WIDE . THE SLOPE RANGES FROM 2.5 ' TO APPROX 4" Answered by Harley Weston.
	A tangent to a circle		2009-07-14
		From Eric: Hi I am trying to complete a packet that has a list of questions to brush up on pre-calculus skills. The question asks "For the circle x^2 +y^2 + 6x - 4y + 3 = 0 find : the equation of the tangent at (-2,5). I have already found the equation for the circle and standard form and the center and radius. However, i do not know how to find the slope or y-intercept of the tangent line. Please help. Thanks. Answered by Stephen La Rocque.
	The surface area of a rectangular pyramid		2009-07-13
		From Shivani: What is the surface area of a rectangular pyramid with a length of 6 inches, a width of 7 inches and a SLANT height of 4 inches. Answered by Penny Nom.
	The product of two consecutive integers		2009-07-13
		From kelly: the product of two consecutive integers is 9 less than the square of the second integer Answered by Penny Nom.
	A sequence		2009-07-11
		From jamie: what is the next number in the sequence and what is the relationship of the numbers? 36,16,20,10,12, _ Answered by Penny Nom.
	Two chords		2009-07-11
		From Sarah: Two parallel chords in the same circle have lengths of 30 cm and 48 cm. The circle has a radius of 25 cm. How far apart are the chords? Answered by Penny Nom.
	Arc length		2009-07-10
		From farhad: hi i need to measure length of arc by having only two measurements, first the length of the chord and the height of the curve. if i have a simple calculator that haven't sin cos tang (i want to calculate it in my mind) Answered by Stephen La Rocque.
	A trig identity		2009-07-10
		From sam: I need to prove: tan x (cot x + tan x) = sec2 x (the "sec2" is "sec squared") I am totally stuck!! Thanks! Answered by Stephen La Rocque and Harley Weston.
	A circle and a chord		2009-07-10
		From Paul: I have three known points. X1,Y1 = 0,0 X2,Y2 = 3,1 and X3,Y3 = 10,0. Given these three points, how do I find the height from the center of the 10' chord to the circle's circumference above? Answered by Stephen La Rocque and Harley Weston.
	A base 7 number and a base 9 number		2009-07-09
		From koteawarao: Find a base 7 three-digit number which has its digits reversed when expressed in base 9. ans: (281) base 7 and (182) base 9 Answered by Harley Weston.
	Multiplying Large Numbers		2009-07-09
		From Jessica: What is 12 billion X 6 trillion? Answered by Janice Cotcher.
	Multiplying Large Numbers		2009-07-09
		From Jessica: What is 12 billion X 6 trillion? Answered by Janice Cotcher.
	Passwords		2009-07-08
		From Tim: pretend I have a password that is - 9k7d4112p5o assuming that you continuously guessed wrong until that exact combination was the only possible answer left; how many times would you have to guess? capital letters are not relevant and you do not know how many digits there are Answered by Stephen La Rocque.
	Log_7 (4X) = Log_14 X		2009-07-08
		From Mukulu: Help me with this question because i tried my level best to get the right answer but i failed Log_7 (4X) = Log_14X Answered by Stephen La Rocque.
	x^3+1/x^3=18*sqrt(3)		2009-07-08
		From Nazrul: If x^3+1/x^3=18*sqrt(3) then how can I evaluate the value of x+1/x? Thank you for your help. Answered by Robert Dawson.
	The sides of a triangle		2009-07-08
		From Susan: The second side of a triangle is 5ft more than the length of the first side. The third side of the triangle is 10ft less than the length of the first side. The perimeter of the triangle is 61ft. Find the lengths of each side of the triangle. Thank you so much! Answered by Penny Nom.
	A binary equation		2009-07-07
		From Chinonyerem: Find a bitwise solution (i.e find xi so that each xi E {0,1}) to 32 = x1 + 2x2 + 4x3 + 9x3 + 20x5 Answered by Harley Weston.
	Fractional Exponents		2009-07-07
		From bob: 2^5/2 - 2^3/2 Answered by Janice Cotcher.
	Sand for sandbags		2009-07-07
		From Jerry: How much sand do I need to fill 750 sandbags that are 26 inches by 14 inches if I fill them at 60% of their full capacity?nad Answered by Janice Cotcher.
	Simultaneous Equations		2009-07-06
		From Mukulu: Solve the equation simultaneously X/5=(Y+2)/2= (Z-1)/4 ……………….eqt 1 3X+4Y+2Z-25=0 ………………eqt 2 Answered by Janice Cotcher.
	Using the Remainder Theorem to Find an Unknown Coefficient.		2009-07-06
		From Mukulu: What is the value of a if 2x2-x-6 ,3x2-8x+4 and ax3-10x-4 have a common factor. Answered by Janice Cotcher.
	Number of Farm Animals		2009-07-06
		From paul: In the farm there are 50 heads of chicken and pigs and 100 feet. how many chickens and pigs are there in the farm Answered by Robert J. Dawson.
	The retail price for an ice cream scoop		2009-07-05
		From Patricia: Hi - I am trying to figure out the fairest retail price for an ice cream scoop. We have an ice cream parlor and the cost of the ice cream we buy by the bulk container has recently been increased so now we must charge more for our scoops. We pay a wholesale price of $25.40 for 242 ounces of ice cream. The cost per ounce is $0.105. What is the formula for figuring out how much to charge retail per scoop? This is probably so simple but confusing to me. Please help. Thank you! Answered by Harley Weston.
	Vector spaces		2009-07-05
		From Nazrul: How can I prove that m(a+b)=ma+mb where a and b are two vectors. Thank you. Answered by Harley Weston.
	A roll of paper		2009-07-05
		From mark: is there a simple way of finding out how much is left on a roll of paper. i have read similiar questions and answers on here but all seem very complicated and not being very good at maths does not help me much. some are in inches and all have different figures to mine so if i give my figures hopefully i wil understand it better. the radius of the cardboard core is 52.25mm, the radius of the paper at 2000 linear meters is 158.625mm. the thickness is 0.17mm. when nearing the end of the paper how do i work out how much is left in a simple way. thank you in advance for any help you can give me Answered by Harley Weston.
	17.5% of 500		2009-07-05
		From b: what is 17.5% of 500 Answered by Harley Weston.
	Descending Percentages		2009-07-02
		From Chris: Hi I'm having a problem working out the percentage target achievement, when i'm calculating a descending indicator. For example, if you take something like the number of contracts cancelled. You might give your retentions team the task to make sure that no more than 2 customers cancel a contract wihin a particular month. If exactly 2 customers cancel their contract, that should represent 100% achievement of the target, but i'm really struggling to work out what that percentage would be if 1 or 3 customers cancelled. Chris Answered by Janice Cotcher.
	Generating Four Digit Number Combinations that Exclude Zero		2009-07-02
		From Judy: Is it possible to get a complete list of the possible 4 number combinations between 1 and 9? Answered by Janice Cotcher.
	The area of a triangle		2009-07-02
		From Rory: I'm trying to find the area of a triangle with points -2, 1; 4,1 and 7,4 Answered by Penny Nom.
	Fish Feed		2009-07-01
		From David: 57 grams of feed how many fish can I feed at 2% of 1lb body wieght or I suppose to feed 2% of body wieght of food in grams fish wieghts 1 lb.I hope I said that write Thank you Aloha dave Answered by Janice Cotcher.
	A diagonal of a rectangle		2009-07-01
		From Ruben: Please assist me with the following problem: A rectangle has a diagonal that is 3.6 feet longer than the length and 7.1 feet longer than the width. What are the dimensions of the rectangle? Thanks Answered by Harley Weston.
	Two circles on a dome		2009-07-01
		From Beth: My question is related to a dome I would like to construct, for which I know the circumference of the base: 120ft. I now need to figure out the diameters of two smaller circles, one at 20ft along the arc of the dome form the ground, and the other at 30ft along the arc. Assuming a true hemisphere, or 180 degrees total arc, how can I calculate these two circumferences? Beth Answered by Stephen La Rocque.
	Parallel lines		2009-07-01
		From chris: Write the slope of a line that is parallel to each line. 1.y=2x-5 2.y=-x+2 3.3x+y=10 4.5x-y=11 5.x+2y=6 6.2x-3y=9 7.4x+y=3 8.x+2y=14 Answered by Brennan Yaremko.
	liquid in a 3/4 inch pipe		2009-06-30
		From junior: We are in dilemma at my job. We need to figure out the formula for how much water can our pipe hold. It's inside diameter is 13/16" and is 50ft. long? Answered by Robert Dawson.
	The extended real number system		2009-06-30
		From Justin: Hi again, thanks a lot for answering my previous question! I was also just wondering again if the extended real number system has a potential or actual infinity because it includes positive infinity as a point that exists at the end of it? All the Best, Justin Answered by Robert Dawson.
	The surface area of a fire pit		2009-06-30
		From eric: whatw is the square footage of the inside wall of a fire pit 2 feet deep and five feet in diameter? I need to estimate both the floor and wall square footage to order bricks. Answered by Robert Dawson and Harley Weston.
	A trig identity		2009-06-30
		From sumayya: prove that sin A (1+tan A)+cos A (1+cot A)= sec A+ cosec A Answered by Robert Dawson.
	Finding an Acute Angle using Trigonometric Identities		2009-06-29
		From Nazrul: How can I find the value of A if sinA-cosA=1 , where A is an acute angle. Answered by Stephen La Rocque.
	A boat goes up stream 30 miles and ...		2009-06-29
		From Mohsin: A boat goes up stream 30 miles and down stream 44 miles in 10 hours. Again it goes up stream 40 miles and down stream 55 miles in 13 hours. Find the rates of the stream and of the boat. I am confused and unable to get an answer. Please help. Thanks Answered by Robert Dawson.
	Potential infinity and actual infinity		2009-06-29
		From Justin: Hi there, I was just wondering what is the difference between the potential infinity and actual infinity in math? Thanks a lot for your help with this question! All the Best, Justin Answered by Robert Dawson.
	Coefficient thermal expansion of steel		2009-06-29
		From roshni: Coefficient thermal expansion of steel is 0.00000645/in/in/deg F if F was C(celcius) then what is the answer Answered by Robert Dawson.
	Proportionality		2009-06-29
		From Nazrul: If x is proportional to y and y is proportional to z , how can I prove that (x^2+y^2)^3/2 is proportional to z^3 Answered by Harley Weston.
	Integers and decimals in day to day life		2009-06-29
		From mitichie: can you tell use of integers and decimals in our day to day life. Answered by Penny Nom.
	Coffee scoops per cup		2009-06-29
		From charity: if my coffee machine takes 10 scoops for every six cups, how many scoops do i need for 4 cups. each scoops equals one tbls(.25 oz) Answered by Penny Nom.
	Designing a shelf		2009-06-28
		From Bjorn: I'm putting up a shelf and thought I'd be nice and cut the sharp and pointy corners off. I want to the cut to be at a 45 degree angle, but I also want the exposed edge to be the same length as from the wall to the beginning of the cut -- so the end of shelf will look like the first two sides of an octagon. I've managed to construct the solution, but I haven't been able to calculate it... Please help! Answered by Stephen La Rocque.
	Eight golfers		2009-06-26
		From E: Hello, We have a golf tournament. 8 players, 3 days, 2 fourballs per day. How can each player play with each other no more than twice, and at least once? Would like a speedy answer as we're going tomorrow! Thank you Answered by Laura Morrison.
	Height of a Flag Pole		2009-06-26
		From Jake: Can anyone answer this I am very stumped. The flagpole on the roof of a Chocolate Factory is 13 cm in diameter and a perfect cylinder. If one end of a 2300-cm-long string is attached to the top of the flagpole, and wraps around the flagpole exactly 16 times before ending at the bottom of the flagpole, how tall is the flagpole? Need answer by Wednesday Answered by Penny Nom.
	Twelve golfers		2009-06-26
		From Fred: Hello- There are twelve golfers in 3 foursomes for three days. Is there a combination of four man foursomes that allow for no duplicates? In other words, is there a formula to insure the greatest amount of variety in the foursomes. Looking at it math like you have 1,2,3,4,5,6,7,8,9,10,11,12 grouped into four numbers each for three days. So if your have the first day 1,2,3,4 in one group, 5,6,7,8 in the second and 9,10,11,12 in the third what can you do for the next two days to have the fewest duplicates or have the greatest variety in the foursomes? Thanks Answered by Karen Meagher and Victoria West.
	Investing in multiple accounts		2009-06-26
		From Kenneth: Hello: If an investor has $1000.00 to invest in multiple accounts, and he wants a total return of 4%, is there one calculation that can be used to determine what these amounts could be even though there may be numerous amounts used as answers for most of the following examples? For example, Invest $1000.00 @ 2% and 5% for total return of 4%. Invest $1000.00 @ 2%, 3% and 5% for total return of 4%. Invest $1000.00 @ 2%, 3%, and 5% for total return of 4%. Invest $1000.00 @ 2%, 3%, 4% and 5% for total return of 4%. etc. Answered by Robert Dawson.
	Infinite-Dimensional Spaces		2009-06-26
		From Justin: Hello again, I was also just wondering (in Hilbert Space and Function Space) are there infinite-dimensional spaces larger than each other in terms of cardinality? Thanks a lot for your help again! All the Best, Justin Answered by Victoria West.
	Finding Force When Pressure and Area Are Known		2009-06-25
		From chris: i need to calculate the force for a tube. given the follwing data. pressure is 900 PSI Tube is 6 m long by 1.5m Outside Diameter Answered by Janice Cotcher.
	Accuracy of Data		2009-06-25
		From Bill: If say, a predictin is 20 and the actual is 35 how do you work out the accuracy of the prediction Answered by Janice Cotcher.
	Vector Proofs		2009-06-25
		From Nazrul: If a, b, c be three vectors how can I prove that (i) -(a+b)=-a-b (ii) If a+b =c then a= c-b Thank you. Answered by Janice Cotcher.
	Greatest Number in Rounding Off		2009-06-25
		From paucath: what is the greatest number that can be rounded of to 4000 Answered by Janice Cotcher.
	Primes		2009-06-25
		From Chinonyerem: If p = 2^k - 1 is prime, show that k is an odd integer, except when k = 2. [ Hint: 3/4^n - 1 for all n >= 1.] Answered by Robert Dawson and Penny Nom.
	The surface area of a tank		2009-06-25
		From Charles: I need to calculate the external wall and top sqft surface area of a tank 54ft od x 15ft high with a dome top 54ft od x 8ft high. Answered by Penny Nom.
	A train crosses a tunnel		2009-06-25
		From Sabrina: A goods train of length one and half kilometres, is moving at a speed of 27km/hr. find the time taken by it to cross a tunnel of length seven and half kilometres Answered by Penny Nom.
	The dimensions of a cuboid		2009-06-24
		From laura: a cuboid has the surface area of 842 cm2, can you work out the dimensions? Answered by Robert Dawson and Harley Weston.
	Dividing infinity by infinity		2009-06-24
		From Justin: Hello again, I just had one other question nagging question about infinity. I read this article on "Types of Infinity" on Paul Hawkins calculus website and he stated that one infinity cannot be divided by another or that the answer is inderterminate because fundamentally infinity comes in different sizes with respect to infinite sets and that this applies also to calculus. And so I was wondering (if this is true) is this why when you divide infinity by infinity (in the extended real number system) the answer is indeterminate since fundamentally one inifnity is larger than another like in infinite sets or is there another reason? Thanks sooo much for answering my question again! I greatly appreciate it! All the Best, Justin Answered by Robert Dawson.
	(570 divided by 15) multiplied by (5 plus 26)		2009-06-24
		From Sherrie: What is the answer to this math question: (570 divided by 15) multiplied by (5 plus 26).......... Thank you, Sherrie:-) Answered by Penny Nom.
	The Pythagorean theorem		2009-06-24
		From supreet: What are some real-world applications of the Pythagorean theorem? and How are the Pythagorean theorem and the distance formula related? Answered by Harley Weston.
	Is one Infinity larger than another in the extended real number system?		2009-06-24
		From Justin: Hello there, I was wondering if one infinity is larger than another in the extended real number system (just like in the transfinite ordinals and cardinals with respect to infinite sets) or are all infinities the same size in the extended real number system? Thanks sooo much for answering my question! I greatly appreciate it! All the Best, Justin Answered by Robert Dawson.
	Math jokes		2009-06-23
		From Emily: I am teaching a whole bunch of elementary age, kids and i need some math jokes. I need math jokes that are about shapes, numbers anything that i can will be teaching over. this week is shapes though. Please, and thank you, Emily Answered by Victoria West and Harley Weston.
	Cubic meters of gravel in a 7 ton lorry		2009-06-21
		From Jackie: I have to transport gravel in a 7 ton lorry and I know how many cubic meters of gravel I need, but I need to know how many cubic meters of gravel a 7 ton lorry can hold. Thanks, Jackie Answered by Penny Nom.
	Prove that the set of all positive odd integers is an infinite set		2009-06-20
		From Nazrul: How can I prove that the set of all positive odd integers is an infinite set. Thank you in advance. Answered by Victoria West.
	What is 3 trillion divided by 3 billion?		2009-06-18
		From Dianna: What is 3 trillion divided by 3 billion? Answered by Penny Nom.
	Maximum Volume of a Cylinder Inscribed in a Sphere		2009-06-18
		From Jim: Hello I have a hard time finishing this question: A right circular cylinder has to be designed to sit inside a sphere of radius 6 meters so that each top and bottom of the cylinder touches the sphere along its complete circular edge. What are the dimensions of the cylinder of max volume and what is the volume? Answered by Janice Cotcher.
	Mowing 17 lawns		2009-06-18
		From kevin: I need help setting up a equation to solve the following question: If a gardener can mow 3 lawns in 7 hours, how long should it take him to mow 17 lawns. I can solve the problem, but I don't know how to set up the equation. Answered by Penny Nom.
	Two questions from math class		2009-06-18
		From Con: Hello, My name is Con and my son is required to answer the following questions for his maths class. He has attempted Q1 through trial and error and has found the answer to 72453. Is this correct? He has attempted to draw the triangles described in Q2 in a number of ways and has found that BE can not equal ED and is dependent of angle BAC. Therefore, he claims that the triangle can not be drawn/practical. Is this correct or is there a slolution? Q1. Digits 2, 3, 4, 5 and 7 are each used once to compose a 5-digit number abcde such that 4 divides a 3-digit number abc, 5 divides a 3-digit number bcd and 3 divides a 3-digit number cde. Find the 5-digit number abcde. Q2. Let ABC be a triangle with AB=AC. D is a point on AC such that BC=BD. E is a point on AB such that BE = ED = AD. Find the size of the angle EAD. Con Answered by Chris Fisher.
	The integral of x^x		2009-06-18
		From ANGIKAR: what would be the integration of (X^Xdx)? give answer in details. Answered by Robert Dawson and Harley Weston.
	Successive differences		2009-06-18
		From Jonathan: I'm trying to find the next number sequence for this equation: 1 11 35 79 149 251, my problem is that I worked it out and ended up with a single number 17. What am I doing wrong. Thank you for any help. Answered by Robert Dawson and Penny Nom.
	Thermal Expansion of Steel		2009-06-17
		From Ken: Hi there, We are rollforming steel roofsheeting in 65M lengths and the = question of linear expansion has cropped up.I would like to know what = the expansion rate of this sheet would be over a temperature rise of say = 40degree F.in mm per Meter or whatever the norm is. The sheet is 0.53mm = thick and is 700mm in width,I hope this is sufficient info to enable you = to do your calculation.Many thanks, in anticipation. Ken Answered by Janice Cotcher.
	Divisibility		2009-06-17
		From Sophia: Hello Please help my son with the solutions to the following: a) Determine the remainder when 2^2009 + 1 is divided by 17; b) Prove that 30^99 + 61^100 is divisible by 31; c) It is known that numbers p and 8p^2+1 are primes. Find p. Again, your assistance is greatly appreciated. Thanks Sophia Answered by Robert Dawson.
	The smallest 4 digit number		2009-06-17
		From Kat: What is the smallest 4 digit number? 0001 or 1000 Answered by Robert Dawson.
	A difference quotient		2009-06-17
		From Sue: When s(x)=x^3+x, compute and simplify the difference quotient s(x+h)-s(x)/h. Answered by Harley Weston.
	Completing the square		2009-06-16
		From rebecca: Find the roots of the equation by Completing the square. Express your answer in exact form and in decimal form to 2 decimal places. a) x(squared)+10x+23 b)3y(squared)+12y+3 Answered by Stephen La Rocque.
	Factoring a quadratic		2009-06-16
		From Rebecca: solve the quadratic equation by factoring. a) x(squared)+7x+10=0