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1999 equations in 1999 unknowns 2014-11-28
From Subrahmanya:
Solve the following system of 1999 equations in 1999 unknowns :

x1+x2+x3=0, x2+x3+x4=0……., x1997+x1998+x1999=0,

x1998+x1999+x1=0, x1999+x1+x2=0.

(in x1,x2,...................,x1999 the numbers 1,2,.............,1999 are subscripts)

Even and odd 2014-11-28
From Subrahmanya:
n1, n2, n3....................,n1997 are integers not necessarily distinct. (actually in n1, n2,.............., n1997 the numbers 1,2,.................,1997 are subscripts of 'n')

X= (-1)^n1+(-1)^n2+............+(-1)^n998

Y=(-1)^n999+(-1)^n1000+............+(-1)^n1997

Then

which of the following options is true

A) (-1)^X = 1, (-1)^Y = 1 B) (-1)^X = 1, (-1)^Y = -1
C) (-1)^X = -1, (-1)^Y = 1 D) (-1)^X = -1, (-1)^Y = -1
E) none of these

Exponential notation 2014-11-27
From Jaqui:
May sound super easy, but how would you SHOW that you simplified 3x3 to the power of 2 (the little 2)?

thank you!

Jaqui

What is 20 and 3/5 of 10? 2014-11-26
From Jeannine:
What is 20 and 3/5 of 10? Question is written exactly this way. Is this 20 3/5 times 10 (103/5 times 10), or is it 20 and (3/5 times 10)?
Mark's book case 2014-11-24
From anne:
mark has 312 books in his case. he has 11 times as many fiction books as non fiction books. how many fiction books does mark have?
Cutting a hexagon with a sliding miter saw 2014-11-23
From Joseph:
I need the angles in degrees for a hexagon one side is 18inches on the outside the problem I am having is in the angle of the cut and I am using a sliding miter saw which only goes from0 degrees to 45 degrees so I need help in getting the angle of the cut
A truncated, square-based pyramid 2014-11-23
From Hannah:
A designer vase has the shape of a truncated, square-based pyramid. The base of the vase is a square with a side length of 15 cm. The area of the square opening is 70.56 cm2. Each of the four sides is a trapezium with slant sides 9 cm long. Find (to the nearest square centimetre) the total surface area of the vase.
Doubling the dimensions of a cone 2014-11-21
From Hannah:
If the volume of a cone of height 10 cm is 261.8 cm3, show that this volume is increased by a factor of 8 if the dimensions of the cone are doubled.
From rajesh:
Sir,
I would like to discuss on question-
-Find the value of variable X and Y, equations are
X2+Y2+2XY=25
X2+Y2-2XY=1

Sir, my point is equation looks not so easy.My opinion is there many (more than 4)value possible for both X and Y.
Kindly help me.
regards,
rajesh

Factorise 15x + 15y 2014-11-20
From Jordan:
hi i saw a question in class today that i didn't understand and i didn't really understand what my teacher was going on about so how do you factorise 15x + 15y
Answered by Robert Dawson and Penny Nom.
An arithmetic progression 2014-11-19
From Gbenga:
In an A.P the difference between 8th and 4th term is 20. The 8th term is 1\2 times the 4th term . Find arithmetic progression..
Two ships 2014-11-18
From Laura:
7. A ship leaves its home port and sails on a bearing of N28.17°E. Another ship leaves the same port at the same time and sails on a bearing of S61.83E. If the first ship sails at 24 mph and the second at 28 mph find the distance between the two ships after 4 hours.
An age related word problem 2014-11-18
From Cole:
Susan and Russell are brother and sister. Susan says that in two years she will be twice Russell's current age. Russell says that he's only three years younger than Susan. How old is each of the siblings?
How many square feet in 10 gallons of liquid at 1/4 in thick? 2014-11-14
From Rich:
How many square feet in 10 gallons of liquid at 1/4 in thick
(x-3)^2-(x+3)^2 2014-11-13
From Bernice:
(x-3)^2-(x+3)^2
1/6k=-11 2014-11-13
From Marty:
Using the balance method, what is the answer to 1/6k=-11, trying to find what k equals. Thanks
An irregular convex octagon 2014-11-13
From james:
I have an irregular convex octagon, alternating between 4 large edges, say 'a' mm long and 4 small edges, say 'b' mm long, is there a formula available so that I can work out the minimum size sit a circle with a radius of 34.25mm inside it thank you
The cube root of 729 2014-11-12
From Alexis:
What would be the square root of 729 to the third power and could you explain how to get the answer?
What is -3 squared? 2014-11-12
From Christine:
On a math test, it said "What is -3 squared?" It did NOT say "What's is (-3)squared"

The teacher's explanation is that if there are no brackets or parenthesis, you ALWAYS square the number first then do the negative, so the answer should be -9, but I can't find anywhere that confirms this.

Some geometry problems 2014-11-07
From Maria:
Hi there,
My name is Maria and I'm a student in Ireland.
Can you pleeeease help me with questions 1 to 4 on the attached file. I'm really stuck:

The area of a pentagon 2014-11-04
From Gracie:
i really need help with this problem in my math book, will you help?

"Derrick drew regular pentagon with side lengths of 8 centimeters. He divided the pentagon into 5 identical triangles, and measured the height of one of the triangles to be 5.5 centimeters. Find the area of the pentagon."

this really makes no sense to me. Can you help me with anything to make it easier?

THANKS!!!!!

The area of a circle in terms of the circumference 2014-11-04
From Sarah:
How do you find the area of a circle if you already have the circumference? There was one answer to this question already but it didn't make sense to me, because they rounded up pi which you can't do so the answer is incorrect. thanks
A quadratic function modelling the heightof a flea jump 2014-11-02
From Hannah:
A flea jumps from the ground to a height of 30 cm and travels 15 cm horizontally from where it started. Suppose the origin is located at the point from which the flea jumped. Determine a quadratic function in vertex form to model the height of the flea compared to the horizontal distance travelled
The density of sea sand 2014-11-02
From Lenny:
Hi There,

I need to find out the the density of sea sand to convert one metric ton to cubic meter as I am submitting for a tender which is in cubic meter but the requirement is in metric ton. I searched through the web site but no density of sea sand is given though there is specific Gravity of dry sand is available. I was given a density of 1.6 to work with. If that is true am I right to say that 1 cubic meter of sea sand is equivalent to 1.6 metric ton? Please help as I am getting confused with what I am able to find out on the web.
Rgds
Lenny

4 card hands 2014-11-02
From Ronaldo:
How many Mus hands (combination of 4 cards allowing repetitions) can be made from a deck containing 8 types of cards?

RRRR, RRRC, RRRS, RRR7, RRR6, RRR5, RRR4, RRRA,
RRCC, RRCS, RRC7, RRC^, RRC5, RRC4, RRCA,

I think 330. If so, what is the formula?

Jason's speed 2014-10-31
From jason:
the speed of Jason is 12 times faster than everyone. The speed of Jason is 108mph. Write the equation and solve to find the speed of everyone else.
Prime factorization in exponent form 2014-10-31
From Emma:
I need to find out how to make a prime factorization of 120 in exponential form.
What is the speed of the boat in still water? 2014-10-30
The current in a stream moves at a speed of 2 km/h. A boat travels 38 km upstream and 38 km downstream in a total time of 3 hr. What is the speed of the boat in still water?
From khushboo:
The zeroes of a quadratic polynomial x^2+ax+b are 'c' and 'd' and the zeroes of a quadratic polynomial x^2+cx+d=0 are 'a' and 'b'. find the numerical value of a+b+c+d where a, b, c and d are non zero integers.
The region between two concentric circles 2014-10-27
From Ray:
two circles, concentric; Given the length of chord of outer circle that is tangent to inner circle. what are the areas of both? how to calculate?
logbase4 (sin x) = -0.5 2014-10-26
From Susan:
Solve for x: logbase4 (sin x) = -0.5
6 bolt holes around a circle 2014-10-26
From Bobby:
What Is The Cord Dimension For 6 Holes On A 24" Bolt Circule
Find the nth term 2014-10-26
From Kenneth:
According to the pattern of the following sequence. Find it's nth term: 3,9,27,81,243,..........
Revolutions per minute 2014-10-24
From Edward:
Hello; I have a 28.2 inch diameter tire; do not worry about engine RPM or gear ratios, please tell me what the RPM of that tire is at 8 MPH and 64 MPH. Thank you.

Sincerely; Edward

A truncated square-based pyramid 2014-10-22
From Beth:
How do you find the height of the original square-based pyramid when given the sides (12cm) of the base and height (6cm) of the truncated pyramid, as well as the sides (3cm) of the base of the chopped off top (chopped off parallel to the base)?
A 10-foot piece of PVC pipe 2014-10-21
From David:
A plumber has a 10-foot piece of PVC pipe. How many 9/5-foot pieces can be cut from the 10-foot piece ?
Three consecutive odd integers 2014-10-17
3 times the largest of three consecutive odd integers is 13 more than the sum of the other two. What are the integers?
Water in a spherical container 2014-10-17
From Natalie:
A spherical container with radius 10cm being filled with water such that the water level, h cm, in the container increase at a rate of 0.5 cm s^(-1). Show that the area of the horizontal surface of water, A cm^(2), in the container is given by A = π(20h - h^(2) ).
A poorly worded question 2014-10-14
From Marjorie:
How do I figure out the following? Dylan's dog weights 12 times more than his pet rabbit. The dog and the rabbit weight 104 pounds. How much does Dylan's dog weigh? Would you explain in detail how I would arrive at the answer so I can convey same to my grandson who is in the 5th grade. Thanks.
A linear system 2014-10-14
From pheter:
4/x - 1/y = 3 .... equation (1)
6/x - 2/y = 5 .... equation (2)

A fact family containing 4, 4 and 16 2014-10-14
From Leslie:
I am helping my son and the question is 4,4,16 in fact family what does that mean
How does pir^2 = 1/4pid^2? 2014-10-14
From al:
Hi I cant work out the algebra. How does pir^2 = 1/4pid^2 Thanx
Building an 8 sided box 2014-10-14
From Michael:
I want to build an 8 sided box. The North, East, South, and West sides I want them to be 4 feet in length.
The NE, SE, SW, and NW sides I want to be 2 feet in length. What angles do I need to cut my angles.
Thanks Michael

15 - (5-x)/ x = 30 2014-10-13
From AMANDA:
15 - (5-x)/ x = 30

I thought you had to multiply both sides by x in order to remove the fraction?

15x - 5x - x2 = 30x

then combine 10x - x2 = 30x

-x2 =20x

then take the sqrt of each side...

what am I doing wrong??

Pre algebra 2014-10-12
From mohamed:
i want to know the meaning of pre algebra
A quarter mile row of trees 2014-10-09
From junna:
a farmer would like to plant trees on one side of his lot which is 1/4 of a mile in a length His friend advised him that if he would plant the trees 5 feet farther apart,he would need 44 fewer trees.If the farmer would take the advice, how many trees would he plant?
Why express fractions in lowest terms? 2014-10-09
From John:
I teach in a Faculty of Education. A colleague in the university asked me about fractions and lowest terms. I am quoting the person below, and would appreciate your insights into the question/thought.

"One I'm struggling with is why (for example) 6/18 is not considered as good an answer to a fraction question as 1/3. The traditional response is that 6/18 is not in lowest terms so the question has not been finished until the fraction is reduced, but what actually makes the lowest terms answer the better one? Is it convention? Is there a way to explain why simplest form answers in fractions are right and and anything else is considered incorrect without alluding to some need for this 'good habit' elsewhere in math or science? Is there a real-life reason?" Thank you for any insights and if you have nothing to offer to this query, that is fine too. I appreciate your consideration. John

A 20% markup 2014-10-09
From Fatima:
What is the 20% markup price of $1.50 Answered by Penny Nom. Maximizing the ticket revenue 2014-10-07 From Allen: An airplane whose capacity is 100 passengers is to be chartered for a flight to Europe. The fare is to be$150 per person, if 60 people buy tickets. However, the airline agrees to reduce the fare for every passenger by $1 for each additional ticket sold. How many tickets should be sold to maximize the ticket revenue for this flight? Answered by Chris Fisher. One zero to a quadratic expression 2014-10-06 From Kevin: Find a value of n such that f(x) = 3^x2 + nx + 6 only has one zero, is this the only solution to the question? Answered by Penny Nom. A tennis ball in a triangular prism 2014-10-06 From Anna: Hi, I need to find the the base and the height of a triangular prism, but I only know the diameter of a tennis ball that fits exactly in the triangular container.. The diameter for the ball is 8.50cm. Can you help me find the formula? Thank you! Answered by Penny Nom. A factoring problem 2014-10-05 From Gina: 3x^2+6x+3 Answered by Penny Nom. Sieve of Eratosthenes 2014-10-03 From Hope: using Sieve of Eratosthenes to determine for in instance prime numbers between 1 to 200, to what nth number should i stop?, 4th, which is 11 or what? Answered by Robert Dawson. Percentages in a mixture 2014-10-02 From viola: Hi there can you help me convert the below so it makes 100% (individual %) 400 gr = 100 gr = 50 gr = 50 gr = 20 gr = 2 gr = 1 gr = 1 gr = Be great to hear back from you Thank you V Answered by Penny Nom. Trig functions and the unit circle 2014-10-02 From Jake: I was wondering what conclusions can be drawn about the trigonometric functions and how they work about the circle. Can you also please give me an explanation for it? Thank you. Answered by Penny Nom. Division in base 3 2014-09-30 From Nnubia: 1021 in base 3 divided by 2 in base 3 Answered by Penny Nom. A lost combination 2014-09-28 From Kim: I cannot remember my combo to this simple lockbox. It is 3 digits- from 0-9. They can be used more than once . I thought it was 117..but no joy. I am fairly sure it was using those digits 1, and 7. can you give me a list of all possible combinations, using 1s and 7s, for the 3 number code? Thank you and I am in awe of people who have math skills, for I certainly do not. Answered by Penny Nom. A rectangle and a triangle 2014-09-27 From rajesh: The perimeter of a rectangle is equal to the perimeter of a right-angled triangle of height 12 cm if the base of the triangle is equal to the breadth of the rectangle, what is the length of the rectangle? Answered by Penny Nom. A man a ship and a wharf 2014-09-26 From Ralph: A man om wharf 12 meters above the level of water is pulling a rope tide to a boat at the rate of 2 meters per minute. How fast is the boat approaching the wharf when there are 20 meters of the rope our. (with solution) Answered by Penny Nom. A wire is bent to form a right triangle 2014-09-25 From Lorena: A wire 24 dm is bent to form a right triangle. The ratio of the shorter leg to the hypotenuse is 3:5. Find the length of the longer leg? Answered by Penny Nom. Two equations in x and y 2014-09-25 From seyilogo: solve y=2x - 3 and (4x - 2y) / x + y = 1 simultaneously Answered by Harley Weston. Continuity on a closed interval 2014-09-21 From Pragya: The trouble I'm having is as follows : a continuous function is most of the times defined on a closed interval, but how is it possible to define it on a closed interval ,because to be continuous at endpoints of the interval the function's limit must exist at that endpoint,for which it has to be defined in its neighborhood,but we don't know anything about whether the function is always defined in the neighborhood. Please help... Answered by Penny Nom. A quadratic equation 2014-09-20 From Najah: (E): (m2_1)x2 _ (m+3)x+4_m2=0 A) for what values of m is the equation (E) quadratic? B) for what value of m is the real number -1 a root of (E) Answered by Penny Nom. The perimeter of a parcel of land 2014-09-18 From Shirley: What is the perimeter of a parcel of land that is 564 acres square Answered by Penny Nom. Meetings for 77 students 2014-09-18 From Adam: We have a new group of students starting, and would like to set up a series of small group meetings so each student meets each other, hopefully without meeting the same people twice. We have 77 students. In theory I would like to have 11 meeting slots, with 10 groups in each slot, with up to 8 students in each group. Is there a way to do this? I have wondered if it might be easier to do 9 meeting slots, with 9 groups per slot, with 9 students per group. Thanks! Answered by Victoria West. Two equations in two variables 2014-09-18 From Susan: (28x + 36y) - [20000 - .75(28x + 36y) + 60000] = 5000 x + y = 10000 solving two equations involving variables Answered by Penny Nom. How much did each dog weigh? 2014-09-16 From Fred: LJ owned two dogs that weighed a total of 140 pounds. If one dog weighed 10 pounds more than the other, how much did each dog weigh Answered by Penny Nom. A tangent to a curve passing through a point not on the graph 2014-09-15 From Aquilah: For the curve y = x2 + 3x, find the equations of all tangent lines for this graph that also go through the point (3, 14). Answered by Penny Nom. A six team track schedule 2014-09-15 From Paul: I need to make a six (6) team track schedule. It needs to be five (5) triangular (3 team) meets with each team playing each team twice Answered by Victoria West. Grandpa had an apple tree 2014-09-14 From Emma: Grandpa had an apple tree. On the first day half of the apples plus one fell to the ground. On the second day, half of the remaining apples plus one fell to the ground. On the third day, half of what was left plus one fell to the ground. The tree was left with only one apple now. How many apples did the tree produce originally? Answered by Penny Nom. Two chords in a circle 2014-09-13 From Carlos: Find the length of the radius of a circle in which a chord of length 6 units is twice as far from the center as a chord of length 12 units Answered by Penny Nom. The average of 9 numbers is 45 2014-09-12 From rizza: The average of 9 numbers is 45. If 90 and 88 are added to the set of numbers. What will be the resulting average? Answered by Penny Nom. The average age of a group of 10 students 2014-09-11 From sujan: The average age of a group of 10 students was 20. The average age increased by 2 years when two new students joined the group . What is the average age of the two new students who joined the group? Answered by Robert Dawson and Penny Nom. The perimeter and diagonal of a rectangle 2014-09-10 From niniha: the perimeter of a rectangle is 68cm.if the diagonal is 26, find its dimensions Answered by Penny Nom. Base 6 2014-09-10 From Amanda: using base 6, what is the next number after 25? 35? 55? and 455? I need to be able to show the base 6 material. Answered by Penny Nom. 35 base 6 2014-09-10 From Amanda: Sorry I am having trouble understanding base, 35 in base 6 means 3 10's and 5 ones, which is the same ____ in base 10? Answered by Penny Nom. 211(base x)=152(base 8) 2014-09-09 From Vaidehi: Find the base value (i.e. x): 211(base x)=152(base 8) Answered by Penny Nom. A second grade word problem 2014-09-09 From Beth: How do I explain to my second grader how to find the answer to the problem: My tens digit is 8 more than my ones digit. My ones digit can not be zero. Answered by Penny Nom. Problem solving 2014-09-08 From hubert: a car left the house and travelled at an average speed of 60 kph.how many minutes will it take for the car to reach the school which is 8 km away from the house Answered by Penny Nom. A secret number 2014-09-08 From jai: it is smaller than half of 100, it is more than 4 tens and less than 5 tens, the tens digit is two more than the ones digit , together the digits have a sum of 6..... What is my secret number? Answered by Penny Nom. The diagonals of a cube 2014-09-04 From Rukshanth: How many diagonals does a cube have? Answered by Harley Weston. The sum of two numbers is 52 2014-09-01 From Blake: The sum of two numbers is 52 and the difference is 10. What are the numbers? i used to be real good at this stuff? Answered by Penny Nom. Interior angles in a parallelogram 2014-08-30 From xavier: so, one of my math homework questions requires me to know how to find out how to find the interior angles in a parallelogram, the question is, "how many interior angles does a parallelogram have?" Answered by Penny Nom. Water usage in Ames 2014-08-29 From Abigail: The City of Ames water treatment plant treats 7 million gallons of water per day on average to meet water demands. Hypothetically, if water is withdrawn from a groundwater system with an area of 51.6 square miles (approximate area of Ames and surrounding area), what is the depth of water in inches that would have to be added to the groundwater system annually to replace the water that is withdrawn by the city? Answered by Penny Nom. Three collinear points 2014-08-28 From jhanavi: p,q,r are three collinear points.p and q are(3,4) and (7,7) respectively and PR is equal to 10 units.find coordinates of R Answered by Penny Nom. Logarithms 2014-08-28 From effaryna: how logarithms is applied in everyday life? Answered by Penny Nom. Using a bucket to fill a tub 2014-08-27 From Charlotte: A bathtub needs to be filled with water. To fill the tub, a bucket needs to be filled then dumped into the tub. If the bucket is a cylinder with a radius of 6 in. and a height of 12 in, how many buckets will it take to fill the 5 ft x 3 ft x 3 ft tub. Answered by Penny Nom. Cutting a round cake so that it doesn't dry out 2014-08-26 From James: I'm wondering if there's a simple way to calculate the area between two parallel chords of a circle equidistant from its diameter, or if I have the area, to find the distance between the two chords. Here's my "problem". You may have heard of the way of cutting a round cake so that it doesn't dry out - make two parallel cuts (chords) the length of the cake, take the middle piece, then push the two pieces together. So I know the area of a 12" cake, and I want say, exactly an eighth of the cake. How wide do I cut the centre piece? Now to get even more difficult, the next day I want another eighth from the centre. How wide do I cut the next pieces, and so on...? Thanks, James Answered by Harley Weston. A car passing a bus 2014-08-24 From Athish: the driver of the car is travelling at 36 km/hr and spots a bus 80 m ahead of him after 1 hr the bus is 120 m behind the car what is the speed of the bus Answered by Penny Nom. The inverse of f(x) = x^2 - x 2014-08-22 From Tyler: Find the Inverse function of: f(x) = x^2 - x Answered by Robert Dawson. The perimeter of a triangle 2014-08-21 From Phyllis: What is the perimeter of a five acre triangle with one side being 250 feet and the second side would be at a 90 degree angle. Thank you. Answered by Penny Nom. Filling three holes with stones 2014-08-20 From mark: how many tonnes of hardcore/crushed stone would it take to fill 1 hole 9ft diameter 5ft deep and 2 holes both 3ft diameter and 5ft deep Answered by Penny Nom. Revisiting 8 golfers in two foursomes 2014-08-19 From steve: I noticed you had an answer on how can you put 8 golfers in even foursomes over 7 games so that everyone plays with everyone equally. However the formula showed the following sequence that was used but did not go past the second day. Can you change the 0s and 1s into the numbers 1 to 8 instead. Here is what you have written: Day 0 : (0, 0, 0, 0, 1, 1, 1, 1) Day 1 : (0, 0, 1, 1, 0, 0, 1, 1) Day 2 : (0, 1, 0, 1, 0, 1, 0, 1) Day 3 : (0, 1, 1, 0, 1, 0, 0, 1) Day 4 : (0, 0, 1, 1, 1, 1, 0, 0) Day 5 : (0, 1, 0, 1, 1, 0, 1, 0) Day 6 : (0, 1, 1, 0, 0, 1, 1, 0) Thank you so much for your anticipated help. Steve Answered by Harley Weston. A barge of triangular cross section 2014-08-18 From tushar: a barge of triangular cross section is 20m long 12 m wide and 6m deep.its floats in SW at a draft if 4m find its displacement Answered by Penny Nom. 4 rounds of golf as three foursomes 2014-08-18 From Christopher: For our golf trip, we will be playing 4 rounds of golf as three foursomes. We would like to have each person play with everyone at least once. Is this possible? Answered by Victoria West. A price increase and a consumption decrease 2014-08-16 From sujan: If the price of petrol increases by 25% and Rajesh intends to spend only 15% more on petrol then by how much % should he reduce the quantity of petrol he buys? Answered by Penny Nom. The equation of a circle 2014-08-14 From jennifer: hi there My name is Jennifer and residing in Denmark. I am a student and I wrote to you because i am having trouble in finding out the equation for the circle using (x-a)^2 + (y-b)^2 =3D r^2.The diameter of this circle is d=3D 44,514 cm. I have attached a drawing of my problem..thanks Answered by Penny Nom. What percentage of 317 million is 1.2 million? 2014-08-13 From Danielle: I would like to know what percentage of 317 million is 1.2 million. Answered by Tyler Wood. Distance, speed and time 2014-08-13 From abdel: Mac walked to a park from the college at 5 km/h. 10 minutes later, Steve started riding his bike at 15 km/h to the same park to meet Mac. They arrive at the same time at the park. How far is the park from the college? Answered by Tyler Wood. 1/3 of$320 2014-08-13
From Student:
Please help I got tutor for selective and this question is really bugging me a lot what is 1/3 of $320? plez answer quick before I fail :( Answered by Tyler Wood. Speed, distance, time 2014-08-13 From Aarti: a theif running at 8 km/hr is chased by a policeman whose speed is 10km/hr.if the thief is 100 m ahead the policeman then what will b time required for the policeman to catch the thief? Answered by Tyler Wood. How do you convert square mm to square cm? 2014-08-13 From David: How do you convert square mm to square cm? Answered by Tyler Wood. Ratios ond percents 2014-08-13 From aswathi: if the ratio of cost price and selling price of an article is be as 10:11,the percentage of profit is Answered by Tyler Wood. Golf for 10 2014-08-12 From Fred: We have 10 golfers playing 4 rounds: one 4-some and two 3-somes each round. Can you suggest the best distribution of players? Answered by Victoria West. Golf for 15 2014-08-11 From Brian: I am trying to arrange 5 rounds of golf for 15 golfers. We will play 5 in a group, 3 groups per round, 5 rounds. I would like everyone to play with everyone else. Secondary objective would be for no one to play with anyone else more than 2 times. Thank you. Answered by Victoria West. Multiplication in base five 2014-08-07 From Alise: Hi Maths Central! I was wondering if you could help me with multiplying in base 5. I have read a question previously answered by you in regards to this but got fairly confused by it and was hoping you could help me with my question. My question is: Multiply 1422 base 5 by 21 base 5 keeping these numbers and answer in base 5. Would you also be able to explain how to get to the answer? Thanks! Answered by Penny Nom. 4821x14y is an 8-digit number divisible by 72 2014-08-06 From RAYA: if 4821x14y is an 8-digit number divisible by 72. How many values can x and y take? Answered by Penny Nom. A chord and an arc of a circle 2014-08-06 From Luis: Hello I am trying to figure out how to get chord lengths of quarter points for a circle. I work with large diameter circles and I need to be able to find chord length from 0 degrees to 90 degrees, 0 degrees to 270 degrees, 270 degrees to 180 degrees and 90 degrees to 180 degrees. Can you please use 100ft. diameter as example and work out the problem. I'm sorry if I use wrong terminology, I'm really bad at math . Thank you in advance for your time and help I really appreciate it. Answered by Harley Weston. The area of a quadrilateral 2014-08-06 From Rahul: find the area of the quadrilateral whose side measure9cm,40cm,28cm,15cm and in which the angle between the first 2 sides is a right angle Answered by Penny Nom. The area of a kite 2014-08-04 From Janis: How do you calculate the area of a kite with the diagonals 24cm and 48cm? Answered by Chris Fisher and Penny Nom. The dimensions of a rectangle 2014-08-03 From Jamaica: if the perimeter of a rectangle is 30m and its area is 56 m2.find its length and width? Answered by Penny Nom. A concrete driveway 2014-08-03 From Jonathan: How many 90 pound bags of concrete will fill in a 3 inch deep, 20 foot long, 12 feet wide driveway? Answered by Harley Weston. What is the average of first 100 even numbers? 2014-08-02 From Faizan: What is the average of first 100 even numbers? Answered by Chris Fisher. A 6 team sports schedule 2014-08-02 From Daniela: Hello, My husband and I are volunteering at our church's Jrs camp and we were given the task of making the schedule for sports. There will be 6 teams and a total of 3 games for two days. We would like for every team to play each other but we cannot figure it out. Pls help! Thanks. Answered by Victoria West. A word problem with fractions 2014-08-01 From nathanielcabalan: The denominator of a fraction is one more than the numerator. If the numerator is increased by three, the resulting fraction is one more than the original fractional. Find the original fraction. Answered by Penny Nom. Dealing cards in the ratio of 4:3:6 2014-07-31 From aneeqa: Maria, Sofia and Diana shared some cards in the ratio of 4 : 3 : 6. Diana received 14 more cards than Maria. How many cards did Sofia receive? Answered by Penny Nom. The sum of the first 50 terms of an arithmetic progression 2014-07-26 From Joshua: Hello ...my is Joshua...I'm a grade 11 student...I got a question Calculate the sum of the first 50 terms of an arithmetic progression: 112:98:84 Answered by Penny Nom. A word problem concerning averages 2014-07-26 From Bernie: The average weight of a team of children is 50kg, Todd who weighs 56 kg then joins the team. The average weight of the new team is 51. How many children in the original team? Answered by Penny Nom. An arc subtended at the center of the Earth 2014-07-20 From Abhinav: Meerut is 60 km from Delhi. Find the nearest second the angle subtended at the center of the earth by the arc joining these two points,earth being regarded as a sphere of 5940 km radius. Answered by Penny Nom. 60% as much as$30. 2014-07-18
From Kenneth:
Question from Kenneth:

Hello:

Do you know why some "as...as" phrases indicate multiplication?

For example, ? is 60% as much as $30. This is equivalent to 60% X$30 = $18. How does this make sense? I saw this example in an old textbook on business mathematics, but the author did not explain why it is equivalent to multiplication. I thank you for your reply. Answered by Robert Dawson. Selecting a meal at a school cafeteria 2014-07-18 From Gil: A school cafeteria offers 2 main entrees, 3 fruits, 4 vegetables, and 3 drinks. If a plate consists of 1 entree, 2 vegetables, 1 fruit, and 1 drink, how many different plates can a cafeteria manager make? Please explain how you derived at answer. Thank you Answered by Penny Nom. Expand and simplify [x-3][x+3] 2014-07-16 From symion: Expand and simplify [x-3][x+3] Answered by Penny Nom. An octagon around a tree 2014-07-16 From floyd: I want to build an octagon 4 feet from base of tree from 4x4's. What length do I cut my pieces Answered by Penny Nom. Solve sin3x = cos2x 2014-07-14 From Emanuel: If sin3x=cos2x, find the value of x when x<0<90' Answered by Penny Nom. 16 golfers over 15 weeks 2014-07-11 From Steve: I need a schedule for 16 golfers over 15 weeks, where each golfer is paired with a different golfer each week and plays 4 matches per week against 4 different pairs (each pair does not have to play each week) Answered by Penny Nom. Brandon went shopping - working backwards 2014-07-11 From Sindy: Brandon went shopping & spent 1/4 of his money on shoes & 1/5 of the remainder on a new wallet. He then spent$60 on a pair of jeans. If he had $60 left, how much did Brandon start with? Answered by Penny Nom. Sharing in the ratio of of 2:3:5 2014-07-11 From Muzdalfah: Amount of Tsh 12,000 is to be shared among John,Hidaya and sabrina in the ratio of of 2:3:5 respectivly.How will each get? Answered by Penny Nom. A 14 team golf league 2014-07-11 From Pat: We have a 14 team golf league that plays a 16 week schedule. Playing once per week, I need a schedule where each team plays every other team at least one time. Answered by Victoria West. Fencing around a 6 sided property 2014-07-10 From Annette: Hi, I've tried every way to figure this out and looked at your other acreage questions and still don't have an answer. It's my Birthday today and it would make me so happy to figure this out. I have this area I want fenced on my property and need to figure out how many acres it is to know if this guy is charging fare price for fencing. It has 6 sides to it and measured in feet the sizes are: 1400 ft long 807 ft long 1060 ft long 300 ft long 310 ft long 400 ft long Hope you can help me. Thanks. Annette Answered by Penny Nom. A 5 sided lot 2014-07-10 From mia: have the feet numbers of three sides, but the forth side is in a "V" so it has two figures. Question: can i add the two figures of the "v" together to get one figure, so then I would have the figures for all four sides. Answered by Harley Weston. 4/9 of a set of story books cost Rs 630. 2014-07-09 From YASIN: If 4/9 of a set of story books cost Rs 630. What will the rest of the set cost? Answered by Penny Nom. A ladder against a wall 2014-07-09 From thabo: A ladder 6.5m long,leans against a wall so that the top of the ladder is 4.8m from the ground.what is the angle of elevation of the ladder to the top of the wall Answered by Penny Nom. 67 cubic yards in cubic metres 2014-07-09 From gavin: Convert 67 cu yards into cu metres Answered by Penny Nom. A rotation schedule for 14 teams 2014-07-08 From Daniel: I am organizing team activities for a summer camp. We have 14 teams and 7 rotations and 7 different games. every team will play a different game each rotation. Where I am having trouble is I would like each team to play a different team each rotation without a repeat. Is that possible? if so what is the formula? Answered by Victoria West. 14 golfers, 7 men and 7 women 2014-07-06 From John: I have to schedule 14 golfers, 7 men and 7 women, into 4 teams each day, playing for 3 days. So each player plays with as many different players as possible for 3 games. Answered by Victoria West. An antenna is atop a building 2014-07-05 From Andrew: If an antenna is atop a building 70 feet tall and the antenna has a beamwidth of 30 degrees how far from the building does the beam first touch the ground? Answered by Penny Nom. The method of elimination 2014-07-05 From leo: please explain how can i solve this problem 3x-6y=-38 6x-9y=44 using elimination and simultaneous method thank you :) Answered by Penny Nom. Quarters 2014-07-04 From kamal: how many quarters in the sum of 8 and 12 ? Answered by Penny Nom. Sum of 22, product of 125 2014-07-03 From marj: find two real numbers whose sum is 22 and whose product is 125. Answered by Paul Betts, Robert Dawson and Penny Nom. The width of a rectangle 2014-07-02 From john: if the area of a rectangular field is 90 sq. m and its length its is 19 m find its width Answered by Penny Nom. Covering a 12 inch by 12 inch square hole 2014-07-02 From Patricia: I am putting in a new bathroom fan. I am wondering if a new light with a 15 inch diameter will cover the existing square hole which is 12 by 12 inches? If the existing hole is 11 1/2 by 11 1/2 inches? Also, if the 15 inch diameter does not cover the 12 by 12 hole, what size diameter would? Thank you. Answered by Penny Nom. A six digit number 2014-06-30 From anupam: hi, my daughter asking a solution for the below question, kindly help. Write the smallest 6 digit number wit digits ( 2,4,3,0,5,7). plz this is an urgent requirement. regards, anupam Answered by Penny Nom. Buying shoes on sale 2014-06-30 From Willa: So, I have this question from my summer packet: "Gwen buys 3 identical pairs of shoes at store a. She pays$110.25 after the discount what is the regular price of each pair? ( 40% off)"
Angular speed 2014-06-29
From andrea:
a wheel having a radius of 10cm rotates such that the linear speed at its rim is 30mls. what is the angular speed of the wheel in rpm?
Differentiate ln[x(2x-4)^1/2] 2014-06-28
From Igwe:
If y=In[x(2x-4)^1/2],find dy/dx at x=3
A triangle on the surface of the Earth 2014-06-26
From Christine:
A, B and C are three towns, the bearing of B and C from A being 310 degrees and 220 degrees, and their distances from A are 510km and 700km respectively. Find the bearing of B from C to the nearest minute.
50+9-13 multiplied by 2= 2014-06-25
50+9-13 multiplied by 2=
The largest odd number using the digits 08672 2014-06-24
From audrey:
what is a 5 digit greatest odd number out of this given digits? 08672
12 golfers 2014-06-23
From Derek:
I have a golf group that is set up as follows.12 players broken into 2 teams of 6.We play as a 4 ball ie 2 from each group.I am looking for a formular to have the 2 players from each group not play with each other again & also both of the 2 in each group not play with others in the other group more than once.I don't believe it is possible,so will accept as little duplication as possible-many thanks-Derek
An oval pool 2014-06-21
From steve:
I have a 16' x 28' oval pool that is buried 24" deep inground. The dig site is dug 2' wider all the way around the pool. I need to back fill this area with stone. I want to fill this area with 6 to 8" of stone. How many tons of stone will this take?

Thanks you
Steve

How can eight eights be 1000? 2014-06-20
From Aamir:
The digit 8 if we add it 8 time in it the answer should be equal to 1000.it may possible.i.e., 8+8+8+8+8+8+8+8=1000
Simultaneous equations 2014-06-20
From rana:
solve the simultaneous equations
a)3x=7y
12y=5x-1

The ratio of 1:1:2 2014-06-20
From FREDERICK:
3 girls shared some hair ribbons in the ratio of 1:1:2 what is the total number of hair ribbons if the third girl got 14 ribbons.
How many kilometers to a longitudinal degree? 2014-06-19
From cherrielyn:
Assuming that earth is a sphere of radius 6380 km, what is the difference in the latitudes of two cities 270 miles apart positioned on the same meridian?

Thank you in advanced po! :)

A reversed curved on a railroad track 2014-06-19
From cherrielyn:
Assuming that earth is a sphere of radius 6380 km, what is the difference in the latitudes of two cities 270 miles apart positioned on the same meridian?

Thank you in advanced po! :)

The number of standard deviations 2014-06-15
From Dawn:
Suppose that, at a certain college, the average weight of all male students is 160 pounds with a standard deviation of 30 pounds. A certain male student weighs 145 pounds. Determine how many SD's his weight is above or below average.
6 character strings using 1, 5 and 9 2014-06-15
From Kevin:
How many 6 digit combinations (i.e., 159159) can be made from 3 different numbers (i.e., 1,5, and 9)? The numbers will obviously have to repeat. A link to a calculator that could list all the combinations would be helpful. I've come across these sites: http://textmechanic.com/Permutation-Generator.html, and http://textmechanic.com/Combination-Generator.html , but am not sure how to use them for my specific case. Thanks.
Profit 2014-06-14
From roudha:
find the profit of one item if it was bought for AED 180 and sold for AED 275. assume that the additional costs are AED 25 .
Two regression lines 2014-06-14
From catherine:
Given a set of data values ,we can get two regression lines .Explain.
Answered by Robert Dawson and Penny Nom.
A model of the sun and the Earth 2014-06-14
From Lynn:
There is a model of the sun that is 2 1/2 inches in diameter. This is the only clue we have! How far away is the earth from this model?
A small solid silver pyramid 2014-06-13
From Jenesis:
For Awards Night at Baddeck High School, the math club is designing small solid silver pyramids.The base of the pyramids will be a 2 in by 2 in square. The pyramids should not weigh more than 2.5 pounds. One cubic foot of silver weighs 655 pounds. What is the maximum height of the pyramids?
The area of a circle of circumference 32.69 meters 2014-06-11
From coco:
Find the area of a circle with a circumference of 32.69 meters.
Forming a cylinder from a square 2014-06-08
From kalyani:
the curved surface of a cylinder is a square of diagonal 2*square root of 2. What is the area of the base of the cylinder?
Another conditional probability problem 2014-06-08
From PAVITHRA:
Two dice are thrown. What is the probability that sum of the numbers appearing on the die is eleven, if five is appear on the first die
Bags of sand 2014-06-06
From Robert:
We have a section that is 20ft long by 14ft wide and 4inches deep, the bags of sand are .5 cubic ft. How many bags of sand do we need to fill this space evenly.
Factorials 2014-06-06
From penny:
What is factorial? For eg. Like 2!, 3! 4! Etc.
20 teams and 10 competition stations 2014-06-04
From Joel:
I have 20 teams. There are 10 competition stations. Each station will accommodate exactly 2 teams to compete with each other at a time.

Each of the 20 teams needs to compete at each of the 10 stations exactly one time.

Here's the catch I cannot solve: how to schedule it so that each team plays EVERY OTHER TEAM once and only once, while never repeating a station.

10 golfers, playing 7 rounds in 2 x 3balls and 1 x 4ball 2014-06-04
Hi, We are off to Scotland on our yearly golfing trip soon. Question is we have 10 golfers, playing 7 rounds in 2 x 3balls and 1 x 4ball. I would like to ensure that each golfer plays with the other guys an equal amount of times, guess 3ish? and we share the amount of times each player plays in the 4ball. Hope you can help?
How do we use logarithms in our daily life 2014-06-01
From ss:
how do we use logarithms in our dailylife
6 inches of dirt in a baseball field 2014-06-01
From Mary:
The baseball field is 20,000 Square feet, 6 inched deep I need to know how many cubic yards of dirt this will generate.
How do I make fractions into decimals? 2014-05-31
From jay:
Hi,
I wanted to know how do I make fractions into decimals example 1 3/8?

An equilateral triangle with vertices in 3 parallel planes 2014-05-31
From prajay:
How to construct an Equilateral Triangle whose vertices lie on three parallel lines, if the distances of two lines are 'a' and 'b' units from the middle line.What is the length of the side of the Equilateral Triangle ?
A word problem with fractions 2014-05-30
A container of milk is 4/5 full. When 10l milk is poured into it, the container becomes 9/10 full. What is the capacity of the container ?
A rotating schedule for 9 individuals 2014-05-29
From Josh:
I need to set up a rotating schedule for 9 individuals. The individuals will be pairing each week in groups of two. Thus, every week there will be 4 groups of two individuals and one individual not paired with anyone (i.e. a "bye week"). The rotating schedule should not repeat any pairing and it will continue until each individual has been paired with every other individual once.
Thank you

The combination of 6 numbers from 1 to 355 that gives us 360 2014-05-29
From Ion:
Hi,
My name is Ion and I am trying to find the number of combinations of 6 numbers (angles) that would sum to 360 (degrees).

Thank you!

A word problem with fractions 2014-05-23
From Tanzeela:
There are 1200 pupils in a school. 2/3 of them are girls. 1/4 of the boys are overweight. How many boys are overweight?
Overlapping sets 2014-05-23
From daniel:
motors inc manufactured 325 cars with automatic transmission,216 with power steering ,and 89 with both these options. How cars were manufactured if every car has at least one option?
The volume of a wedge 2014-05-21
From steve:
I need to figure the volume of a wedge / right triangle, the dimensions of the right triangle is L1(10'-5"), L2 (10'-6"), H (14'-9.5") height of L1 is 0'-0" height at intersect L2/H is 3'-3"
The volume of hexagonal pyramid and hexagonal prism 2014-05-18
From visshwam:
how to find volume of hexagonal pyramid and hexagonal prism? my measurements are each side of pyramid's triangle is 1"x2"x2".

hexagon prism is 2"x1" each side

What is the speed of the buses? 2014-05-18
From musliu:
Two buses leave a bus station and travel in opposite direction from that same starting point.if the speed of one is twice the speed of the other and they are 240km apart at the end of 1h, what is the speed of the buses?
The height of a building 2014-05-17
From Jim:
If I'm 150 ft. from the base of a building and the top of the building is approx. at a 75 degree angle, how do you calculate the height?
14 golfers for 13 weeks 2014-05-17
From Judi:
I want to schedule each of my 14 golfers to play each of the other girls one time during a 13 week period. We would golf in foursomes , threesomes or twosomes to make this happen. Can you send me a grid that would do this scheduling? I'm at a loss as to how to do it!!
The weight of salt in a basket 2014-05-17
From Sumit:
I want to determine how many kg of salt or XYZ thing can be filled in a basket
Length = 4.5"
Height = 6"

Even its formulae

is kg quantity can be different for semi solid thing

The equation of a line 2014-05-16
From Michael:
Find the equation of a line that passes through (2,-1); the sum of the x- and y-intercepts is 2. (There are two answers)
A hexagon with different side lengths 2014-05-16
From Grace:
Sorry if this is a simple question, but I can't seem to understand how to solve it. I am Trying to find the area of a hexagon with measurements 6x7x6x6x7x6, or 2 sets of opposing sides with 6, and one set with 7. Thank you.
Golf for 14 players over 12 weeks 2014-05-16
From Judi:
How would I develop a playing schedule using foursomes and one twosome for 14 players who will play 12 weeks and each person would play all but one of the others?
Three digit numbers 2014-05-15
From Mudassir:
how many 3 digits numbers which at least one digit is 2 ?
A problem with numbers 2014-05-14
From Justina:
Okay so I don't understand how to equal this equation to 10 using bedmas. I've been stuck on it for a few days now. Is there different ways you can show me Using these same numbers?

5 2 4 3 1 = 10

Help! Thanks.

Answered by Robert Dawson and Penny Nom.
18 golfers for 5 rounds with a teaching Pro 2014-05-14
From Maree:
We are taking 18 golfers on Tour with a teaching Pro. There are 5 rounds of golf and we want everyone to play with the Pro once, but everyone else to play with as many different people as possible
Eleven guys on a fishing trip 2014-05-13
From Mark:
Eleven guys are going on a fishing trip and want to rotate so everyone fishes with the other guys with the fewest number of repeats. They want to fish in groups of two with one fishing alone for three and a half days so will rotate seven times. Is there a combination that works and what is it?
A circle a square and a rectngle 2014-05-12
From mazhar:
suppose the length and breadth of the rectangle are 5 cm and 10 cm respectively and M is a point along the corner of the circle. what is the radius of the circle?(diagram is given..but i didn't mention it..actually the diagram looks like a circle inscribed in a square and the right bottom corner one rectangle will be given ,it is touches to circle at a point M that I've already mentioned and the dimensions of that rectangle also I've mentioned) please help me out..
Travelling upstream and downstream 2014-05-12
Howie Sorkin can travel 8 miles upstream in the same time it takes him to go 12 miles downstream. His boat goes 15 mph in still water. What is the rate of the current?
A 12 week poker tournament 2014-05-12
From Jamie:
Looking to schedule a 12 week poker tournament with 18 players ...playing 2 separate 9 person tables...I'm looking to have a balanced schedule where everyone player with each other an equal amount of time
Mary's height as a percentage of Michael's height 2014-05-11
From Lauren:
Mary is 1.4m tall and her brother Michael is 1.2m tall.
Express Mary's height as a percentage of her brother's.

A piecewise graph 2014-05-10
From Zoe:
Lightning Energy charges residential users for each unit of electrical energy bought from them each quarter, according to the scale below:
0-500 units cost 17 cents per unit
500-1500 units cost $85 plus 10 cents for each unit in the excess of 500 1500 or more units cost$185 plus 9 cents for each unit in excess of 1500
Sketch a graph showing the charge C as a function of U for up to 2000 electricity units

The length of a shadow 2014-05-09
From vijay:
A girl of height 80 cm is running away from the base of a lamp-post at a speed of 2 m/s. If the lamp is 4 m above the ground, find the length of her shadow after 5 seconds.
Percentage change 2014-05-09
From hi:
the hw club had 46 members in sept. in april, the club had 24 members. what was the percent of change in the hw club's membership from sept. to apan increase or decrease in membership? ril? what is
A question concerning two lines 2014-05-09
From Hela:
The equation of the line L is 6x+5y=3, and the equation of line Q is 5x-6y=0, which statement below about the line is true?
A) same y intercept
B)parallel
C) Same x intercept
D)perpendicular

x - 2 Sin[x] = 0 2014-05-08
From chanmy:
From Yanly:
A carpenter has several boards of equal length. he cuts 3/5 of each board. After cutting the boards, the carpenter notices that he has enough pieces left over to make up the same length as 4 of the original boards. How many boards did the carpenter start with?
A schedule for 2 teams of 10 2014-05-07
From John:
How can I set up a schedule for 2 teams of 10 on a team to play each individually against each other over a 10 day span at 10 different course with 10 different start times each day. I was looking to not repeat any competition. As an example, Team A would consist of players 1-10, Team B would consist of players 11-20. I would want to have 10 start times a day for 10 days where a member of team A plays a member of team B each day without repeating any matches and any of the same courses and not repeating any of the same start times. Any help in this would be GREATLY appreciated!!!!
A 5-person golf flight 2014-05-05
From Jeremy:
can you have a 5-person golf flight and play only 3 matches so that one person plays one match each?
Golf for 8 2014-05-05
From Ivan:
We have an eight member golf team. We field one foursome each week for 16 weeks of league play. How do I roate the eight members so each team member plays with each team member and all play an approximately equal number of times?
4 golfers in twosomes 2014-05-04
From Lori:
4 golfers want to play as 2 somes every week, but rotate the 2 players so we all play together With each other evenly thru out the summer
19 acres by 12 feet deep 2014-05-04
From Bernie:
How many cubic yards of dirt is in 19 acres if you dig down 12ft ?
Golf :15 players over 4 days 2014-05-02
From michael:
We are playing with 15 players over 4 days. We plan to have 3 people in each group. A total of 5 groups with 3 players each. Can I arrange for each player to play with other players only 1 time?
1÷[1-√2(order of surd is 4)] 2014-05-02
From Anoushka:
if t=1÷[1-√2(order of surd is 4)] , then t=?
Surface area 2014-05-02
From vijay:
If a square paper of side 25 cm is rolled to form a cylinder, then its curved surface area is
11 golfers going on a golf trip for 4 rounds 2014-05-01
From David:
I have 11 golfers going on a golf trip for 4 rounds of golf. I want to make sure that everyone gets a chance to play with everyone at least once but not more than twice. Also, as we are n = 11, we will be composed of 3-4-4 everyday. I am trying to ensure that as few as people as possible play in the group of 3 (golf seems to be more enjoyable for whatever reason in foursomes). i have tried 3 differemt times and can seem to figure it out. Can you assist?
2 teams of six playing each other 4 times 2014-05-01
From Steve:
I have 2 teams of six (Team A & B)- playing each other 4 times.

Is it possible to have a player from Team A play with a different partner from Team A for each of the 4 rounds, and likewise for Team B. Whilst no player from either team plays an opponent more than twice during the 4 rounds?

The distributive property 2014-04-30
3a(7b+6c). The directions are: use the distributive property to rewrite the expressio .
If x+y+z=1 then x^2 + y^2 + z^2 = ? 2014-04-30
From Nitin:
If x+y+z=1 then x^2 +y^2+z^2 = ? ?
A cone of vision 2014-04-29
From David:
It is known that a fish in water looking up has a 97 degree "cone" of vision that sees "through" the surface of the water. If a fish lies 4 inches below the surface, the cone forms a window (circle) smaller than if a fish lies 8 inches below the surface. What is the ratio of inches of depth to the radius of the circle on the surface that is its visual window?
Profit and loss 2014-04-29
From Anoushka:
A man sells two tables of the same price. On one he makes a profit of 10 percent and on the other he suffers a loss of 10 percent.Find his loss or gain percent on the whole transaction.
2cos^2x+cosx=sin^2x 2014-04-28
From MaryBeth:
find all solutions of the following equation in the interval [0,pi] 2cos^x+cosx=sin^2x
Fractions and units 2014-04-28
From Aaron:
I can't do this math problem. please help. Find 200m over 1 min times 60 min over 1 hr times 1 km over 1000 m. the choices are a. 300 km/hr b. 12 km/hr c. 300 m/hr and d. 12 m/hr
2 cars driving towards each other 2014-04-27
From Joakim:
2 cars driving towards eachother , the distance between them is 162km. they meet after 2 hours. car A is driving with 4/5 of car B´s speed. what is the speed of each car...
A triangular chicken pen 2014-04-27
From Cierra:
Margaret has two lengths of fence, 20 meters and 24 meters, for two sides of a triangular chicken pen. The third side will be on the north side of the barn. One fence length makes a 75° angle with the barn. How many different pens can she build if one fence is attached at the corner of the barn? What are all the possible lengths for the barn side of the pen?

Not sure what they are asking here... please show step by step what to do! Thank you so much!

The volume and radius of a sphere 2014-04-27
From grace:
How do you find the radius of a sphere when all you know is the volume?
The derivative of sin(x) 2014-04-26
From Lucky:
f(x)=Sin(x), by first principle its f'(x)...show me how to solve such problem.
A schedule for 9 teams on 3 fields for 18 days 2014-04-25
From Scott:
I need to schedule 9 teams on 3 fields for 18 days with no buys. Two teams play while other practices in field(little guys). Two fields have backstops and other is open field. Would like to have even time on each diamond if possible. Thank you
Solve for theta 2014-04-25
From ALASTAIR:
Hi, The question asks Solve for 'theta' cos2theta=sintheta x costheta. Substituting for cos2th either 1-2sin^2th or 2cos^2th does not give an equation in either sine or cosine alone how do I solve this please?
From George:
Hi, I need to pour a cement pad in the shape of an octagon that allows for 12" of clearance around the tank I will be putting on it. The tank has a radius of 16'.
A trig problem 2014-04-25
From srishti:
Consider the points P= (-sin(a-b),-cosa), Q=(cos(a-b),sina), R=(cos(a-b+c),sin(a-c), where 0
What was the selling price? 2014-04-25
From Con:
Apple built 40 32GB wifi iPads, gave away two in a contest, and sold the rest at two times the manufacturing price. If the company's total profit was $10,782, what is the selling price of one of these iPads? Answered by Penny Nom. What time was it when joe's brother passed him? 2014-04-25 From Nathan: joe left home in his bike at 10:00 am, traveling 21 km/h. At noon, his brother set out after him on his motorcycle, following the same route. if the motorcycle traveled at 63 km/h, what time was it when joe's brother passed him? Answered by Penny Nom. A quadratic equation given the roots 2014-04-23 From Sarah: How do you find the quadratic formula when you're given just the roots ... X=-3 X= 1/3 Thanks ! Answered by Robert Dawson. Two 9 hole golf leagues 2014-04-23 From Sally: I need help scheduling two 9 hole leagues. Here are the variables: - Leagues alternate each week starting on the front and back - League A starts at 4:30 with 7 groups and League B starts at 5:15 with 8 groups (all use carts and must be teed off by 5:30) - Regular play must continue, customers who have started before league play begins have preference to continue their round whether they are playing 9 or 18 holes. Thank you!!! Answered by Victoria West. Golf for 6 2014-04-21 From barbara: We are a group of 6 golfers. We play in groups of 3 for 5 days. How can I arrange the groups that everybody plays with everybody else at least once? Thanks. Answered by Victoria West. Golf with 3 teams of 20 2014-04-21 From Joshua: Thank in advance for this great service Golf - new - 3 teams of 20 - to create 20 unique groups of 3 For example use 3 teams of 3 1a 2a 3a 1b 2b 3b 1c 2c 3c So groups are 1a 1b 1c 2a 2b 2c 3a 3b 3c Groups can only have one a, one and one c - and that combo should be unique Answered by Victoria West. A 22 team golf league 2014-04-21 From Terry: We have a team league at our local golf course. We have 22 teams, we would like it so that each team plays the other team only once. I have tried the scenario. 1,21;2,20;3,19;4,18;5,17;6,16;7,15;8,14;9,13;10,11;12,X X+1=1 scenario 2, 1;3,21;4,20,5,19,6,18;7,17;8,16;9,15;10,14;11,13;1,X using formula from other post in your forums. I can get all the possible playing arrangements. The big quandary is setting up the schedule so that each week, each team would start on a different hole. I can get the first 11 weeks scheduled very easily, it is just trying to get the last 11 weeks scheduled? Any help would be greatly appreciated. Answered by Victoria West. Golf League Schedule for 15 weeks and three flights 2014-04-21 From bigdog: I need help setting up a 12 team (3 flights with 3 teams in each flight) 15 week league play schedule. Each team must play teams in there perspective flight twice during the 15 week season. Answered by Victoria West. A normal distribution problem 2014-04-19 From Melanie: This is the question: The lifetime of a certain type of car tire are normally distributed. The mean lifetime of a car tire is 40,000 miles with a standard deviation of 5,000 miles. Consider a sample of 10,000 tires. A) How many tires would you expect to last between 35,000 and 45,000 miles? b) How many tires would you expect to last between 30,000 and 40,000 miles? c) How many tires would you expect to last less than 40,000 miles? d)How many tires would you expect to last more than 50,000 miles? e) How many tires would you expect to last less then 25,000 miles? f) What tires would you want on your car and explain your reasoning Not at all sure that we've done any of this correctly and not sure how to determine how many tires will last less than 25,000 miles. Any help is appreciated. Answered by Penny Nom. An input output table 2014-04-19 From Stephanie: I have an input output table with x/y filled out except one x and one y. I need help. How do I find X? Answered by Penny Nom. Simultaneous equations with fractions 2014-04-19 From Maryam: I looked at your example of simultaneous equations with fractions and applied it to my question from an educate exam papers but I couldn't get it to work. The question is: x/8 - y = -5/2 3x + y/3 = 13 Answered by Penny Nom. Robyn and Shaun swim 2014-04-18 From kajinthan: robyn swims four 35m lengths.shaun swims eight 15m widths. how much further does robyn swim?solve this maths Answered by Penny Nom. A frustum of a pyramid with a square base 2014-04-18 From tuba: a pyramid has a base of 10 m and is 15 m high.what is the volume? if 6m is removed from top what is the volume of the remaining frustum? Answered by Penny Nom. Ratios 2014-04-18 From Kenneth: Should ratios contain only whole numbers and not any fractional numbers? For example, 8:1, 2:5 have whole numbers. The ratios 2.5:10 and 1:4.5 do not have just whole numbers entirely. If it is incorrect to express a ratio with fractional numbers, why are complex fractions correct? I thank you for your reply. Answered by Harley Weston. Ratios 2014-04-18 From Kenneth: Should ratios contain only whole numbers and not any fractional numbers? For example, 8:1, 2:5 have whole numbers. The ratios 2.5:10 and 1:4.5 do not have just whole numbers entirely. If it is incorrect to express a ratio with fractional numbers, why are complex fractions correct? I thank you for your reply. Answered by Harley Weston. A circle is divided into three sectors 2014-04-17 From atolagbe: the area of a circle is 154cm square. it is divided into three sectors such that two of the sectors are equal in size and the third sector is three times the size of the other two put together. calculate the perimeter of the third sector. take pi=22/7? Answered by Penny Nom. What is this function? 2014-04-17 From Keta: What is this function? -12=-2 -6=-1 6=1 0=0 Answered by Penny Nom. Barrels of oil 2014-04-16 From daryl: Looking for an accurate number to use when calculating barrels per inch in a a tank with the following dimensions: Nominal diameter - 15'-6", nominal height - 16ft, nominal capacity - 500 barrels. These are commonly referred to as 500x16 tanks. Currently we are using 2.6 barrels per inch. We need 180 barrels for a full load so I'm trying to figure out how many total inches I need to load 180 bbl. This has been a matter of debate for some time. Thanks for your help. Answered by Harley Weston. The area bounded by the X-axis and y=x^(2)-4 from -5 to 0 2014-04-15 From Lexie: Determine the area that is bounded by the following curve and the x-axis on the interval below. (Round your answer to three decimal places) y=x^(2)-4, -5 ≤ x ≤ 0 The answer is 32.333 but I have no idea how to get there. Answered by Penny Nom. A tangent of the curve (x/a)^n+(y/b)^n =2 2014-04-15 From sudhir: the equation of tangent of the curve (x/a)^n+(y/b)^n =2. at(a,b) is Answered by Penny Nom. A conditional probability problem 2014-04-13 From Chiluya: Two fair dice are rolled. what is the probability that the number on the first die was at least as large as 4 given that the sum of the two dice was 8? Answered by Penny Nom. The cost before the sales tax 2014-04-13 From Juanda: Hello, I know the customer cost with tax and I know the sales tax. How do I find out the customer cost prior to the added sales tax? Thank you Answered by Penny Nom. A sand trench around a pool 2014-04-13 From steve: How sand is needed to back fill a trench around a 24ft dia. pool that is 26" deep by 2ft wide. Making the outside dia. 26ft. Thank You Answered by Penny Nom. Manipulating an equation 2014-04-12 From Paul: S=4wl+2wh and solve for h Answered by Penny Nom. A slab of wet clay 2014-04-12 From Karen: How many square feet ( at 1/4 inch thickness) are in 100 lbs. of wet clay? Answered by Penny Nom. A golf league with 20 players over 17 weeks 2014-04-12 From Chris: I have a golf league 20 players and 17 weeks. We don't have teams so I just want to have everyone to play with each other the about same number of time and, hopefully, randomly distributed throughout the season. We have had situations in the past where two people play together for three weeks in a row and then not anymore for the rest of the season. From other posts, I see how to schedule the first 5 weeks without repeats but I can’t figure out an algorithm to for the rest of the season. Thanks! Answered by Victoria West. Decimals,fractions and percentages 2014-04-11 From Frances: Ask an expert to find out their real life usage of your topic... that is the question. meaning what is your real life usage of using decimals,fractions and percentages. This is all part of my math assignment to ask an expert real life usage... so please reply back as soon as possible Answered by Penny Nom. A golf league consisting of 14 two man teams 2014-04-10 From Kevin: Hello, I need to make a schedule for a golf league consisting of 14 two man teams playing over the course of 20 weeks. I understand that each team will play at least once and I believe 7 teams will play each other twice over the course of the season. How would I generate this schedule. Thank you, Kevin Perry Answered by Victoria West. Converting to base 5 2014-04-10 From Usama: Convert the numbers used in the following expressions into those of base-five and solve : 21+34-108+62 Convert the result so obtained into decimal system and thus check your answer? Answered by Penny Nom. The cosine of 2 theta 2014-04-10 From Kayla: Find \cos 2 \theta if \sin \theta = \frac{11}{61}. Answered by Robert Dawson. How fast did Jessica grow? 2014-04-10 From jasmine: when she was 14 jessica was 5 feet, 4inches tall . at 18 she is now 6 feet, 2inches tall .how fast did jessica grow during this time Answered by Robert Dawson. The surface area of a circular dome 2014-04-10 From Shafiqah: Is this a dome's surface area formula?? {{2 × π r × h square units}} Is the surface area of the floor for the dome is calculate too in this formula? Thanks for answering. =) Answered by Robert Dawson and Penny Nom. Two rectangular prisms 2014-04-10 From hannah: two rectangular prisms have a combined volume of 432 cubic feet Prism A has half the volume prism b has what are the volumes of prism a and prism Answered by Penny Nom. Two cones 2014-04-09 From c.j: what is the length of the radius of the LARGER cone(the LARGER cone has a slant height of 15) when the SMALLER cone has a radius of 8 and a slant height of 12ft ,please help. Answered by Penny Nom. Two circles that touch each other externally 2014-04-08 From Ameya: Two circles of radii a and b (a > b) touch each other externally. ST is a common tangent touching the circles at S and T respectively, then ST^2 is equal to Answered by Chris Fisher. The surface area of a rectangular prism 2014-04-08 From Manraj: Find the surface area of a rectangular prism with dimensions 4, 5, and 7 units. Answered by Penny Nom. The sides of a triangle 2014-04-06 From Michael: I am supposed to sove for the length of side "b" of an irregular triangle. I am given the following: Side a: 65' Side b: Find this length Side c: 50' Angle A: unknown Angle B: unknown Angle C: 52 degrees I am supposed to use the law of cosines to solve for side "b" and my teacher says there is no mistake in the "givens" for the problem. I do not see how this can be done using the law of cosines and i have not figured out how to sove for angle B to use the law of cosines. Answered by Penny Nom. Cutting a hexagon from a disk 2014-04-05 From Paul: I am a machinist and sometimes need to make a hex from round material. If I know the distance of the flat sides opposite one another of my hex, how can I calculate the size of material I need to turn to give me the right diameter to finish the part with six sides? Answered by Penny Nom. A 4 digit number 2014-04-04 From LIM: "A" is a 4 digit number formed by all the numbers from 1 to 4. When "A" is divided by 9, the remainder is the biggest possible value. What is the biggest value of A? Answered by Chris Fisher. The locus of a point 2014-04-04 From srishti: A point P moves such that the difference between its distance from the origin and from the axis of x is always a constant c . what is the locus of the point? Answered by Penny Nom. 3/4lbs of nails fills a container 2/3 full 2014-04-04 From Tyler: If 3/4lbs of nails fills a container 2/3 full, then how many lbs of nails will fill the container? Answered by Penny Nom. Golf for 8 playing 7 rounds 2014-04-03 From Evan: We are going on a golf trip to Scotland and are trying to work out the pairings. There are 8 of us playing 7 rounds. We would like to be partnered up in 2's with everyone once and have evenly split up foursomes. Thanks for the help Answered by Victoria West. Evaluate x-(3x+5) if x=-2 2014-04-03 From Destiny: I wanted to know the value of x-(3x+5) if x=-2 Answered by Penny Nom. Shadows of a father and son 2014-04-02 From esada: the father and son cast a shadow of 11 feet and 8 feet,respectively if the son is 4'8'' in height,how tall is the father? Answered by Penny Nom. Is this a right triangle? 2014-04-01 From amina: decide whether or not the following points are the vertices of right triangle (-9,2),(-1,-2),(-9,11) Answered by Penny Nom. A schedule for an 8 man golf team playing 4 each week 2014-04-01 From Harold: We have an 8 man golf team and wish to schedule only 4 to play each week and to have each member play with one of the other 7 at least once. What is the simplest method. Number of weeks could be up to 18 or so. Answered by Victoria West. A cubical tank 2014-04-01 From renzo: A cubical tank contains 2048 cubic ft of water when HALF-FULL. Find the total area of the tank and the length of its diagonal Answered by Penny Nom. Reducing the size of a poster by a scale factor of 1/3 2014-04-01 From deeshon: eric is making a smaller copy of a poster that measures 20.4 cm wide by 34.2 cm long.he reduces the original by a scale factor of 1/3.what are the dimensions of the copy Answered by Penny Nom. The parameterisation of of a curve 2014-04-01 From Eunice: Let C be the path along the curve given by y−80=−5x2 that moves from the point (5,−45) to the point (0,80). Find r(t) the parameterisation of C in that direction as t∈[0,5]. How am I suppose to find the parametric of both x and y? can I let x=t, then y=-5t^2+80? thanks Answered by Penny Nom. An arithmetic progression 2014-03-31 From Japheth: 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 first term? Answered by Penny Nom. 9,-4,6,-8,3,... 2014-03-31 From Alynna: You are given the following pattern: 9,-4,6,-8,3,... Create a formula for the nth figure. I have trouble finding the formula, I need help trying to find it. Answered by Penny Nom. A trig expression 2014-03-31 From Al: the question is Find the value of sq rt 1-cos40/ 1+cos40( that is the square root of the numerator and denominator) I can't see what the question is about or even less an obvious answer Can anybody help? Answered by Chris Fisher. Golf with 20 players and one compulsory bye 2014-03-31 From Wayne: I'm trying to run an event with 20 players, I would like if at all possible to limit amount of people playing repetitively together. (Mix it up and play with different people). Here's the conditions. I want groups of 4 over 5 rounds. On each round I want 4 players to drop out and have a bye (to help run the game) but I dont want them helping a group they've played in if I can help it. Is this possible ? Answered by Victoria West. The Pythagorean Theorem 2014-03-30 From brenae: The Pythagorean Theorem, what is it? Answered by Penny Nom. A schedule for 6 people 2014-03-29 From John: How do I set up a schedule where six people are here for ten of twenty days. Arranged in rotating groups of three, so everyone works with everyone else. Everyone works with everyone else at least once and everyone works ten days. Answered by Victoria West. Graphing piecewise functions 2014-03-29 From Rayven: Hi! I'm in eighth grade, taking ninth grade algebra 1. I'm confused as to how to graph piecewise functions. I know that you have already answered a question similar to this (I did my research first) but it didn't completely help me on my homework. I have to graph piecewise functions for the specified domains, and create a table for the absolute values. I know that two bars around a number means absolute value (two bars around -2 makes it +2) , but how do I graph and chart the absolute value for the following: f(x)= |x+3 | for -5≤x≤3 And then graph and chart: (on a separate graph): f(x)= {x if x≤0 {x+1 if x <0 thank you! ~Rayven Answered by Penny Nom. A cyclic quadrilateral 2014-03-28 From Carly: Suppose ABCD is a cyclic quadrilateral, i.e A, B, C, and D are the points on a circle, given in order going around the circle. Show that if we join each of A, B, C, and D to the orthocentre of the triangle formed by the other three, then the resulting line segments all intersect in a common midpoint. Thank you. Answered by Chris Fisher. Curvature of the Earth 2014-03-28 From Max: Recently I read the answer to a question proposed by someone on this site. The question : What is the rate of curvature per mile on Earth? The answer given : Use Pythagoras' Theorem to solve for the answer, given a 1 mile side and a side as the radius. The hypotenuse minus the radius is your answer of drop/mile or curve/mile. My conjecture : Why go through all of that work if the distance is one? Something like {1/diameter} would would fine for such a problem. Seems like a lot of work for no reason. I understand the practical application of Pythagoras' Theorem in this certain situation, as you would need to use a^2+b^2=c^2 for any distance greater than one [mile].. It just seems excessive and unnecessary if you're solving for curve / one mile. Answered by Robert Dawson. Percentage increase of the population of a town 2014-03-28 From hunter: The population of a certain town in 1984 was 2900 people. The percent increase was 2.5% each year. What is the town's population in 2002? Answered by Penny Nom. 12 golfers, 6 rounds 2014-03-27 From Bill: I have a group of 12 golfers playing 6 rounds of golf. I am looking for a pairings schedule that allows each golfer to play at least one round in a foursome with each of the other eleven players. Can you provide me with a solution? Answered by Victoria West. A table of values 2014-03-27 From Marisol: A table value X 0,1,2,3,4,5,6 and Y 3,7,11,15,19,23,27 . what relationship of X to Y is represent by which equation? A . y= 4x. B y =x+3 . C y =4x+3 or . D y =4x-3 Answered by Penny Nom. 12 golfers, 24 weeks 2014-03-27 From George: I have 12 golfers and want to set up a season schedule that will avoid duplication of playing partners as much as possible. The saeson is 24 weeks long. Do you have a formula? Answered by Victoria West. An inequality 2014-03-27 From James: a step on a stairway is at least 8 inches high. write and solve an inequality to represent the maximum number of steps between floors that are 10 feet apart Answered by Penny Nom. 13 golfers in groupings of 4, 3, 3 and 3 2014-03-26 From Lennart: How can I organise 13 players playing in groupings of 4,3,3,3 for 3 rounds of golf in a way that all play with all others but a minimum of times with the same players(?)If possible, nobody should play in the 4 ball more than once. I would be grateful for an answer/proposal! Thank you, LR Answered by Victoria West. A word problem with fractions 2014-03-26 From lois: a man has a stack of boards, he cuts 3/5 off each board, after he cuts the boards he finds he has enough pieces left to make 4 boards the length of the original boards. how many boards did he start with. Answered by Penny Nom. Justin and his father went fishing 2014-03-26 From Confused: Justin and his father went fishing and together caught 12 fish. Three times the number of fish that Justin caught exceeds 12 by as much as 5 times the number that his father caught exceeds 8. How many fish did each catch? Answered by Harley Weston. The faces of a triangle 2014-03-24 From Westun: Your answer says that a triangle has 0 faces but isn't the part of the shape you see the face!? Because i am having trouble with that so could you help me! thanks! :) Answered by Penny Nom. 9 golfers in groups of 3 2014-03-22 From Andrew: We are a group of 9 golfers. We play 4 rounds in 3 groups of 3. What would be the most equitable where everyone plays with another at least 1 time...?. Thank you. Answered by Victoria West. Riding on a Ferris wheel 2014-03-21 From Claire: A Ferris wheel has a radius of 72 feet and its center is 85 feet above the ground. At the top of the Ferris wheel, Sam is in the topmost car. If the Ferris wheel makes two complete revolutions per minute, how high above the ground will Sam be after 10 seconds? Answered by Penny Nom. An arithmetic sequence 2014-03-20 From Xabiso: The 10th term of an arithmetic sequence is 28 and the 7th term is 19. Calculate the common difference and the first term of the sequence. Answered by Penny Nom. Three digit padlock combinations 2014-03-20 From Edwin: Would appreciate if you can provide me with the list of different combinations that can be obtained from a three digits number. I lost the access code of a three digits number padlock (and need to open it order to get important documents Answered by Penny Nom. Ms. Werenich's nickels, dimes and quarters 2014-03-19 From London: Ms. Werenich has twice as many dimes as nickels and 4 more quarters than nickels. If she has$4.50, how many of each coin does she have? What would the let statements be of this problem and can you solve it?
Find two numbers with a sum of -8 and a difference of 4 2014-03-19
From Elisabeth:
Find two numbers with a sum of -8 and a difference of 4. Let x be the greater number and y be the lesser number.
A formula for determining concrete volume in cu. yd. 2014-03-19
From Steven:
I know a couple of formulas for determining concrete volume in cu.yd. the one I use most frequently is length in feet x width in feet x thickness in inch. Divided by 324. It works every time. Where does the number 324 come from.
14 teams divided into two equal divisions 2014-03-18
From C:
We have 14 teams divided into two equal divisions. We want each team to play each team in their division one time and four teams from the other division one time. What is the schedule
Markup 2014-03-17
From Lorriane:
I work for a plumbing company and our new financial manager said we should mark up all parts we buy by 142.86 to get a 30% mark up, however if we buy something for $100.00 we charge$130.00 being 30%. If we use the other method the customers will be paying $142.86 for$100.00 and they still say that this is only 30% mark up. We have for years been taught percentages at school and also the Government charges us 15% GST which on $100.00 would be$15.00 so who is correct. Thank you for your wonderful website Lorriane
Answered by Chris Fisher and Penny Nom.
A circle inscribed in a right triangle 2014-03-16
From akshaya:
A circle with centre O and radius r is inscribed in a right angled triangle ABC. If AB=5 cm, BC=12 cm and < B=90*, then find the value of r.
2 rectangular prisms are similar by a scale of 0.75 2014-03-16
From gina:
2 rectangular prisms are similar by a scale of 0.75. The volume of the smaller prism is 27cm3 (cubed). How many cubic centimeters is the volume of the larger prism?
Two overlapping arcs in a square 2014-03-15
From Jean:
I have a square with side 4 cm. There are two overlapping arcs going from vertex to diagonal vertex. The other two vertices are the center of the arcs, which are shaded. How do I find the area of the shaded arcs? The overlapping arcs when shaded resemble a long thin football

Answered by Penny Nom and Walter Whiteley.
The area of a 5 sided lot 2014-03-15
From Michael:
Question from michael:

This lot is in feet. 59x154x109x188x137 per the plot plan

40 meters increased by 20% 2014-03-14
From Kyle:
I need help finding out this question: 40 meters increased by 20% Is the answer 800 or is it 8?
Three consecutive whole numbers 2014-03-13
From Abhishek:
Three consecutive whole numbers are such that if they be divided by 5,3 and 4 respectively, the sum of the quotient is 40. What are the numbers?
A chord length of 2 cm 2014-03-13
From prema:
I am having only chord length as 2cm. how to find arc length and degree
A cable around the Earth 2014-03-13
From fikile:
By how much must an equatorial cable be extended in order that it runs 1meter above the ground?
A parabolic suspension bridge 2014-03-11
From jeffrey:
the towers of a parabolic suspension bridges 200 meter long are 40 meter high and the lowest point of the cable is 10 meter above the roadway.Find the vertical distance from the roadway to the cable at 50 meter from the center.
8 golfers for 7 rounds 2014-03-11
From Brian:
We have 8 guys playing 7 rounds of golf. We want to play with each player as a partner only once, sounds simple but i can not come up with the match ups beyond the first 4 matches. I believe the numbers should work perfectly where each player can play with another as a partner only once each throughout the week. Please help.
The ratio of boys to girls is 5:3 2014-03-10
From jane:
The ratio of the number of boys to the number of girls in the concert hall is 5:3. After additional 28 boys entered the concert hall, the ratio of the number of boys to the number of girls become 3:1 How many girls are their in the concert hall?
24 golfers playing 3 rounds 2014-03-10
From Jim:
How can I rotate 24 golfers playing 3 rounds of golf so that none of them play with the same person twice.
A circle which is tangent to two perpendicular lines 2014-03-09
From MJ:
I'm a College Student taking up Bachelor of Secondary Education on Math Subject. And I'm struggling for my research about Circles. I done solving the said topic particularly on this question:

"What are the possible equations of a circle being tangent to a pair of perpendicular lines, having the origin as the Point of Intersection and the C (h, k), where h, k ∈ℤ"

But I can't get what would be the process that I must do in order to jive to my idea/goal for that problem.
Please check my idea that the numerical coefficients of the equation is equal to the radius of the circle. Thanks in advance! :)

The greatest common divider of n^2-3n-1 and 3 2014-03-09
From Rimoshika:
determine the greatest common divider (n^2-3n-1,3)
A word problem 2014-03-09
From Joanne:
Ashley weighs 5kgs more than Joyce. Their total weight is 41 kgs. What is the weight of Ashley?
A schedule for 6 teams over 12 weeks 2014-03-09
From Paul:
So I have a question. I noticed you came up with ways to create schedules and we are having a really hard time making our lineup correctly. Basically we have 6 teams that will play over a 12 week period every Monday night. The time slots are 1 hr each playing at 6, 7 and 8. We would like each team to play 3 games at each time slot over the 12 weeks. Is this something that can actually be accomplished?
Thanks so much for your help!

Eleven golfers 2014-03-08
From Leon:
I have a group of 11 golfers wanting to play 10 rounds of golf in grouping of 4,4,3 .What is the best solution so that everyone plays each other as many times as possible
Simple interest 2014-03-08
From lynn:
I need to find what the interest will be for: 5000.00 @ 16.5% annual rate, and the same for 10.8 % for 5000.00 annual rate all one question

The volume of scale in a pipe 2014-03-08
From Sid:
What is the estimated volume of scale (Liters) if you have a 12 inch ID pipe,300 feet long with scale 1/2 inch thick. Please show me the method and formula. Thank you for your assistance.
The angle of depression 2014-03-08
From Ranger_minor:
A woman of height 1.4 metres standing on the top of a building 34.6 metres high views a tree some distance away. she observes that the angle of depression of the bottom of the tree is 35 degrees and the angle of depression of the top of the tree is 29 degrees.

assume that the building and the tree are on level ground :
1). calculate the distance of the woman from the top of the tree measured along her line of sight.

Determine the selling price 2014-03-08
From augustine:
knowing an auctioneer charges a 7% fee and I know I want $74,400 what is the formula to determine selling price. Answered by Penny Nom. The equation of a circle 2014-03-07 From Balraj: I have to draw a circle x^2+y^2 =8x . please tell me how to understand these coordinates ? please elaborate , on how to understand these types of equations. Answered by Penny Nom. What are the possible lengths of the hypotenuse? 2014-03-07 From audrey: The three sides of a right angles triangle measure x-2, x+5, and 2x-1 in length. What are the possible lengths of the hypotenuse? ... I'm doing the equation c2=a2+b2 and subbing in the numbers but nothing makes sense Answered by Penny Nom. Mixing oil and gas 2014-03-07 From Geoff: What amount of oil would I need to mix on 50-1 basis for a-4litre tank (13.57ozs) capacity tank. Thank you Answered by Penny Nom. 29% as a fraction 2014-03-07 From kylie: 29% into a fraction or mixed number Answered by Penny Nom. The inverse of y = 5^x 2014-03-07 From Melody: how do you find the inverse of y = 5^x Answered by Penny Nom. Parallel chords 2014-03-06 From Raj: AB andCD are two chords which are in the same side of the circle.The length of AB=12 and CD= 24.if the distance between them is 4 then find their radius. Pls help me I just believe on you guys I am having my exam after 3 days Answered by p. A circle graph 2014-03-06 From Caitlyn: I need to find the measure of the central angle that represents the amount of time spent on each activity. My question includes a circle graph with the following: Sleep 31%, Other 15%, Entertainment 18%, Errands 7%, Work 20%, and Food 9%. Answered by Penny Nom. A cone inscribed in a sphere 2014-02-28 From joel: how can I find the radius and the height of a cone INSCRIBED in a sphere, given the sphere having a radius of 6? ( note: the diameter of the cone is equal to its slanted height). Answered by Penny Nom. Four digit phone numbers 2014-02-25 From Tom: Hi, I'm an online math teacher, working on lessons for my students. This question is in their book and I can't do it...! Help! It has to do with phone numbers, and in this problem, we are only dealing with the last 4 digits of the number. It asks how many possible numbers we have if at least one digit repeats in the last 4 digits of the number. Answered by Penny Nom. A speed word problem 2014-02-24 From kiss: Hank bicycles 5 km/h slower than Kelly. In the time that it takes Hank to bicycle 42 km, Kelly can bicycle 57 km. How fast does each bicyclist travel? Answered by Penny Nom. A word problem 2014-02-23 From Anh: The Texas State Legislature is comprised of state senators and state representatives. The sum of the number of senators and representatives is 181. There are 119 more representatives than senators. How many senators and how many representatives make up the Texas Legislature? Answered by Penny Nom. The diameter of the base of a cone 2014-02-23 From elwin: i have a sector of a circle that has 120 degree and 6 cm length. What will be the diameter of the base of the cone. and what is the diameter of the angle is changed to 180. Answered by Harley Weston. A word problem with fractions 2014-02-23 From alex: In a certain fraction the number by n the denominator is greater than the number by3.If 2 is added to both the numerator and denominator ,the fraction is increased by 6/35..Find the fraction. Answered by Penny Nom. x^3+(1/x^3)=18√3 2014-02-23 From Asiv: if x^3+(1/x^3)=18√3; then what is the value of x? Answered by Penny Nom. Paycheck after deductions 2014-02-23 From Louise: So I got a paycheck for 89.02 they took out in deductions 15.69. I want to know the percentage they are taking out so that I can figure my take home pay each week before I get it. So I know what to expect for pay each week so I can budget my bills from now on a weekly basis. If I know the percentage than I can just figure out the percentage through how many hours in the week I worked and multiply my gross pay and know what my take home will be Answered by Penny Nom. Some 3-digit combinations 2014-02-23 From ivana: How many possible 3-digit combinations can be made of the numbers 123456? None of the numbers can repeat in one combination. I used to know a formula but have been out of school for some time and cannot remember. Answered by Penny Nom. 9 golfers divided into 3 teams 2014-02-22 From Steve: We have 9 golfers, divided into 3 teams each day. Play is over 6 days. Can you devise a schedule to ensure pairings allow for all golfers to play at least once with all participants? Also, that the pairings have one player from another team. Answered by Victoria West. Three investment partners sharing the profit 2014-02-22 From Ayatullah: Hello; We are three partners and bought a property at 2050000 and sold at 2300000. Details of investment of the partners X= 1500000 Y= 400000 Z = 150000 My questions are 1) How could i calculate percentage of investment of each partner? 2) How could i deduct 30% commission from each partner in profit? 3) How could i distribute the profit amongst the partners? Thanks in advance Answered by Penny Nom. A circle through three points 2014-02-22 From Mohammad: Find the equation of circle passing through the origin and the points (a,b) and (b,a). Find the length of chords that it cuts off from the axes. Answered by Chris Fisher. Finding the retail price 2014-02-22 From Judy: An item is currently on sale at 37% off the retail price. The item now sells for$350.

My Question:

What is the retail price and what is the formula or steps to figuring that out?

A limit with trig functions 2014-02-22
From pearl:
(what is the value of limit of x as it approaches 0 of sin8x divided by cos6x)
8 team schedule over 7 days 2014-02-21
From Andrea:
I need to organize 8 teams. Each team has to go through 8 games against another team, but not against the same as before.
2.3% of $17.3 trillion 2014-02-21 From C: What is the annual interest on$17.3 trillion at a rate of 2.3%. Thank you
From Nancy:
calculate the gradient of the line AB when the line AB is passing through the points A (2,1,) and B ( 4, -3).)
A 7 person golf schedule 2014-02-21
From Claude:
Golf Holiday: 7 guys, play a 4-some and a 3-some each day for 10 days. Want to have the best balance of each player playing with every other player the same number of times and each player playing in an equal number of 4-somes and 3-somes.
The length of my property 2014-02-19
From James:
I have 4.3 acres. My property is 650 feet wide. What is the other length?
A fountain surrounded by a walk 2014-02-18
A square Water Fountain is Surrounded by a walk 2 yards wide. If the Area of the Fountain is 2/3 of the total area of the Fountain and the Walk. What are the Outside Dimensions of the Walk
The graph of y=2x+4 2014-02-18
From tyler:
y=2x+4 graph
Paul is making banana bread 2014-02-17
From John:
Paul is making banana bread. The number of cups of bananas he uses is proportional to the number of loaves of bread. Paul uses 11 1/4 cups of bananas to make 5 loaves of bread. Which equation represents the relationship between c, the number of cups of bananas, and b, the number of loaves of bread?
A) C=4/9 b
B) C=2b
C) C= 2 1/4 b
D) C=5b

Selecting a card 2014-02-16
From Akarsh:
Cards numbered 1 to 1000 were put in a box.Ali selects cards at random.What is the probability that Ali selects a card containing at least one'3'?
The growth of a tree 2014-02-16
From Emily:
If a tree is 10 ft tall after 2 years and 25 ft tall after 5 yrs , find the rate of change of growth Of the tree if y is the height in ft and x is the number of years.
What is the exponential form of 1/square root of 6v? 2014-02-16
From Prince:
What is the exponential form of 1/square root of 6v
Simultaneous fractional equations 2014-02-15
From benjamin:
hi math central. benjamin here. during class, i had problem with this topic. normally i wont have problems with math but this topic i just too hard for me. please help i am having exam and test next week on this topic

here is the question:
using substitution method, solve the simultaneous equation.
(x+1)/(y+2)=0.5

(x-2)/(y-1)=1/3

From Emily:
What is the grade of the road shown below expressed as a percent rounded to one decimal place?
Rise is 40feet
Run is 380 feet

Rolls of window film 2014-02-14
From Travis:
This question is probably close to the same question as "roll of paper"

We have Rolls of Window Film that we are trying to figure out an equation for a spreadsheet that we can use to "inventory" our window film.

We use a caliper tool to measure the thickness of the roll in millimeters.

the core thickness = 1.90mm
Full Roll thickness(including core) = 9.08mm to 9.12mm
Film thickness = 0.06

Full Roll of Film is supposed to average 1200" of film

What equation could we use to get the approximate inches left remaining on the roll if we measured the roll including the core with the Caliper tool in Millimeters?

Some mixed nuts 2014-02-12
From Andrew:
How many kg of mixed nuts that contain 30% peanuts must Paul add to 6kg of mixed nuts that contain 38% peanuts to make a mixture that contains 33% peanuts?
A word problem 2014-02-11
From cyril:
In a rectangle,the length is 1.5 times the breadth.if the length is shortened by 3 m and the breadth is lengthened by 3 m, the rectangle will be a square. Calculate the dimensions of the rectangle.
Water in a conical funnel 2014-02-11
From Marcus:
Water is running out of a conical funnel at the rate of 1 inch^3/sec. If the radius of the base of the funnel is 4 in. and the altitude is 8 in., find the rate at which the water level is dropping when it is 2 in. from the top.
How many cubic centimeters are in a cubic meter? 2014-02-11
From merylin:
How many cubic centimeters are in a cubic meter? Use a sketch to explain your reasoning.
A sequence 2014-02-10
From Joshua:
hello..the question I have today is... A sequence... 1,5,14,30,55,91 find the general terms.
A square garden 2014-02-09
From reeta:
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
A ball in a box 2014-02-09
From kenneth:
I have 2 questions.What is the radius of the largest ball that will fit into a box that has the inside dimensions of 6feet by 8 feet by 10feet. and the second question is how many cubic feet of concrete will you need to complete a patio that is 20 feet long by 15 feet wide by 5 inches in hight.
8 golfers, 11 rounds 2014-02-09
From Clare:
I am leading a group of 8 golfers who will be playing 11 rounds each at the end of next month and have been tasked with coming up with a schedule that allows, as close as possible, that has everyone playing an equal number of rounds with each other. Do you have any suggestions?
The volume of a cone 2014-02-08
From hibba:
why is the volume of right circular cone divided by 3?
Can a cylinder be considered a circular prism? 2014-02-08
From Davina:
Can a cylinder be considered a circular prism?
The graph of f(x)=x^2-4 2014-02-07
From Allison:
Graph f(x)=x^2-4 and give the five point of the x/y intercepts.
Pizza for 24 2014-02-07
From Delaney:
if 8 people eat 2/3 of a honey chicken pizza how many pizzas are need to feed 24?

How is this problem solved. Thank you!

A number with all the digits different 2014-02-07
From Jon:
I'm not a mathematician but just curious. Is there a name for a number of up to ten digits where each digit is different, i.e the equivalent of an isogram in linguistics? My online banking gives me a random 8-digit number each time I log on and it is rare to get one of the type I refer to. There must be calculable odds, but I'm only allowed one question!
Jon

Two bicyclists traveled in opposite directions 2014-02-07
From Susan:
Two bicyclists traveled in opposite directions, one at a rate of 8 km/hour and the other at a rate of 7 km per hour. In how many hours were they 45 km apart?
Prime factorization 2014-02-06
Write the prime factorization of 37 in exponential form
Walking up and down a hill 2014-02-06
From flo:
michelle walks 4 km to the top of a hill at 3 km/h then immediately walks back down at an average speed of 5 km/h what is her average speed for the 8km walk
A triangle has angels in the extended ratio of 2:5:8 2014-02-06
From Rubina:
a triangle has angels in the extended ratio of 2:5:8. find the measure of all three angles?
Converting cost per cubic yard to cost per ton 2014-02-05
From Mayra:
If 18 cubic yards= 25 tons and it's $28.00 per yard how much is it a ton. I need help please a refresher on my algebra. Thank you Answered by Penny Nom. Order of operations 2014-02-04 From Alex: Hi there,i got problem with order of operation.Can you please help to find a solution for this? Thank u beforehand 6-3(7+2)+(2+4)/3-4. Answered by Penny Nom. A square and a triangle 2014-02-02 From Veronica: The perimeter of a square piece of land is twice the perimeter of an equilateral triangukar lot, if one side of the square is 60 meters, find the length of a side of the triangle. Answered by Penny Nom. The volume of a frustum 2014-02-02 From mike: volume of frustum R23", r 18", h 16" Answered by Penny Nom. Conics 2014-02-01 From Kassidy: Hey, I have searched through all the questions about conics and how people use them in the real world, but none of them were very specific on how they are applied and the process, why it's so important etc. I have a project due asking these questions and it's been very difficult finding the right answer, if you could name jobs, how they are use and specifically applied that would be greatly appreciated. Answered by Penny Nom. The dimensions of a room 2014-02-01 From jenna: The length of a rectangular room is 2m more than the width. Find the dimensions if the perimeter of the room is 34m Answered by Penny Nom. Adding fractions 2014-01-31 From bianco: 2/3+3/4= 9/8-6/8= Answered by Penny Nom. Related rates 2014-01-30 From Veronica: A container is the shape of an inverted right circular cone has a radius of 1.00 inches at the top and a height of 5.00 inches. At the instant when the water in the container is 1.00 inches deep, the surface level is falling at the rate of -2.00 inches/second. Find the rate at which the water is being drained. Answered by Penny Nom. A sequence 2014-01-30 From joshua: hi...really struggle with one question that the teacher gave us... The sequence is 1,2,1,5,8,1,11,___,___ Answered by Penny Nom. A man and a kite 2014-01-29 From Veronica: A man flies a kite at a height of 120 meters. The wind carries the kite horizontally away from him at a rate of 8 meters/second. How fast is the distance between the man and the kite changing when the kite is 130 meters away from him? Answered by Penny Nom. A bizarre percentage problem 2014-01-29 From matthew: by what percent was the child's sodium level beneath the normal range? the child's sodium level was 107 where the normal is 136-145 Answered by Harley Weston. Two nonlinear equations 2014-01-26 From Naryn: (1÷x) + (1÷y) = (7÷12) xy = 12 Answered by Penny Nom. An inequality 2014-01-25 From LANELL: this is a problem to solve: 1/3 + 2/7 >=x/21 -- part of the answer is (-oo) not exactly that similar--it is on a calculator as a symbol- sure you know what it is I am talking about- the x will be a number Answered by Penny Nom. Counting in base five using words not digits 2014-01-25 From Randy: We all know how to count (in the base 10/decimal system) using words not numbers. For example: one, two, three, four, five, six, seven, eight, etc. However, in base 5 (for example) how would you count (in words). For sure - in base 5 the number 1 could be "one", the number 2 could be "two". However there seems to be no words to describe base 5 numbers beyond 0,1,2,3 and 4 (and perhaps 10). In base 5 the number 10 is not ten. Rather it is "five". In base 5 what word(s) describe numbers larger than 10? What words are used for 11, 12, 13, 14, 20, 21, 22, 23, 24, 30, 44,...etc. Also, consider a man and woman were married in the Gregorian year 1964. If they had an anniversary tomorrow - how long would you say they've been married in base 5 speak? In numbers their Golden Anniversary would note 200 years of marriage in base 5. How would you articulate their years together in base 5? I don't recall seeing verbiage to represent numbers in any system other than the decimal/base 10 system. Do such things exist for other systems? Answered by Harley Weston. Problem solving 2014-01-24 From ngozi: There are 4 children in the Owens family. Jamie 1 1/2 times as all as Kelly and he is 6 inches taller than Olivia. Sammy is 56 inches tall, which is 2 inches taller than Olivia. Find Jamie's height Answered by Penny Nom. Kate, Tess and Nina 2014-01-23 From Sam: Kate is 16 yrs. younger then Tess. Nina is 8 yrs.older then Kate. The sum of their ages is 189. How old is each? Answered by Penny Nom. The fourth side of a quadrilateral 2014-01-23 From joanna: left vertical measurement 2560mm right vertical measurement 1850mm base horizontal measurement 1750mm question - what will the 4th measurement be please. using a scale drawing I make it approx 1900mm but require an accurate measurement regards Joanna Answered by Penny Nom. A word problem involving fractions 2014-01-23 From Pamela: John put 1/4 of his flowers in a vase He gave 1/2 to of the flower to his wife He gave 1/5 of the flowers to his daughter He has 8 flowers left How many flowers did John start with Answered by Penny Nom. The amount of GST 2014-01-22 From ken: I am trying to find out what was the amount of the GST that was added in$2,319.45

Ken

A trig identity 2014-01-21
From Jhosseline:
prove: sin (pi/2 - x) cot (x + pi/2)= -sinx
Reducing the area of a parking lot 2014-01-19
From Robin:
The school is reducing the area of its 20yd by 50yd parking lot by removing a strip at one end of the parking lot and another strip of the same width from one side. The new area of the parking lot is 504 said yes. Find the width of the removed strip
Mixing water and wine 2014-01-19
From manish:
a man mixes three part of water to one part of wine.When he consumes one part of mixture he realise that the drink is too dilute and hence adds one part of wine to the remaining quantity what is the ratio of water to wine in the new mixture.
Arrays 2014-01-18
From Yesenia:
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?
Mark's books 2014-01-18
From Jason:
Mark has 312 books in his bookcases he has 11 times as many fiction books as nonfiction books how many fiction books does mark have?

26
212
286
301

The ratio of two shares 2014-01-17
From Kenneth:
Hello:

Two people share $100.00 as follows:$25.00 and $75.00. The two share the$100.00 in a ratio of 1 to 3. I want to think that the two people share the $100.00 in a ratio of 1 to 4. Can you explain why 1 to 3 is correct and 1 to 4 is not? I thank you for your reply. Answered by Penny Nom. A rectangular shaped property 2014-01-17 From Donna: If I I have property that is rectangle shaped. I I know the ends are 100 feet how many feet would the sides be to make 5.4 acres Answered by Penny Nom. An inequality 2014-01-17 From Rosie: 4x/x-2<3 four x divided by x-2 is less than or equal to 3 Answered by Penny Nom.$9.50 in coins 2014-01-15
From dana:
you have $9.50 in coins. it has twice as many nickels as quarters and three times as many dimes as nickels. how many of each coin do you have? Answered by Penny Nom. Five cubes 2014-01-15 From Bob: Rick has five cubes. When he arranges them from smallest to largest, the difference between the heights of any two neighbouring cubes is 2 cm. The largest cube is as high as a tower built from the two smallest cubes. How high is a tower built from all five cubes? Answered by Penny Nom. Watching a bouncing ball through a window 2014-01-15 From Bob: A ball falls from the roof, at a height of 10m. After each impact on the ground it bounces back up to 4/5 of its previous height. How many times will the ball appear in front of a rectangular window whose bottom edge is at a height of 5m, and whose top edge at a height of 6m? Answered by Penny Nom. Is this operation associative? 2014-01-14 From patrick: Associative test: Can you explain the following to me? Is the following operation associative?: x*y=x+y+1 1) x*(y*z)=x*(y+z+1)=x+(y+z+1)+1=x+y+z+2 2) (x*y)*z=(x+y+1)*z=(x+y+1)+z+1=x+y+z+2 The answer is yes as 1) = 2) My specific questions are: 1) How x*(y*z)=x*(y+z+1)=x+(y+z+1)+1 ? 2) How (x+y+1)*z=(x+y+1)+z+1? Thank you!! Answered by Penny Nom. A 7% solution 2014-01-14 From imran: what amount of H2SO4 should be added to make 5mL of 0.7% H2SO4 solution Answered by Penny Nom. Fractions and exponents 2014-01-11 From john: what is the exponent form of 9^4/7^-2 and 6^-3/10^-5 Answered by Penny Nom. The train fares are proportional to the square root of distance traveled 2014-01-11 From manish: train fares are proportional to the sq .root of distance traveled. the train fare is Rs. 24.4 for a distance of 140 kms. by how much % does the total fare increase if the same distance is covered by breaking the journey after every 35 kms. Answered by Penny Nom. On what day of the week was July 4, 1904? 2014-01-11 From Madi: Hi guys, I have a question. July 4, 1903, was a Tuesday. On what day of the week was July 4, 1904? If you could give me an equation that would work for any question like this, that would be GREAT! Your fellow math scholar (in training), Madi Answered by Penny Nom. A rectangle inscribed in a circle 2014-01-10 From Marian: A 16 cm by 12 cm rectangle is inscribed in a circle. Find the radius of the circle. Answered by Penny Nom. 4x^3-7x^2-2x 2014-01-10 From Alvi: 4x^3-7x^2-2x Answered by Penny Nom. Radio direction finders 2014-01-09 From Nathan: Radio direction finders set up two points A and B, which are 2.5 miles apart on an east-west line. From A, it is found that the bearing of a signal from a radio transmitter is N36.33 degress E, while from B the bearing of the same signal is N53.67 degrees W. Find the distance of the transmitter from B. Answered by Penny Nom. A box-and-whisker plot with one whisker 2014-01-09 From Susan: Question from Susan, a teacher: I read your answer to the question about could a box & whisker have NO whiskers. It made sense to me. However I am preparing for my advanced class and I have a sample graph comparing box plots of data. Several of the box have only 1 whisker. There is no explanation for this. Can you help me out. I cannot think of a data set that would produce this. Thanks! Answered by Penny Nom. Two tuna boats 2014-01-09 From amanda: Two tuna boats start from the same port at the same time, but they head in opposite directions. The faster boat travels 10 knots per hour faster than the slower boat. At the end of 8 hours, they were 272 nautical miles had each boat traveled by the end of the 8 hour period? Answered by Penny Nom. When would one flip the inequality sign? 2014-01-09 From Natasha: Would one flip the inequality symbol in this equation: (explain why) (-9a)/(-9) > 81 And please explain in what circumstances one would flip the inequality sign THANKS! Answered by Penny Nom. A tire rolls 100 feet in a straight line 2014-01-07 From Alanna: A tire has a diameter of 26 inches. If it goes 100 feet in a straight line, how many complete revolutions did it make? Answered by Penny Nom. A scalene triangle 2014-01-07 From cherry: Hi I have been given a scalene triangle of sides - 8m, 6m, and 10m .. Please help me to find out the area and help me to find out the height .. Answered by Penny Nom. An arithmetic sequence 2014-01-06 From paris: find the twenty-fifth term of an arithmetic sequence whose first term is 12 and whose common difference is -6 Answered by Penny Nom. An equilateral triangle inscribed in a circle 2014-01-06 From Anonymous: An equilateral triangle with sides 6 inches is inscribed in a circle. What is the diameter of the circle? Answered by Penny Nom. Profit as a percentage 2014-01-04 From Dane: If i brought a card for £5 and sold it for £10 what is my profit percentage? 50% or 100% Answered by Penny Nom. Units digit 2014-01-03 From gracie: 9^23 units digit Answered by Penny Nom. 25% profit 2014-01-02 From Finn: Hello, The question is all about buy-and-sell business. Problem: Pencil -$6 for whole sale price
$8 if I sell the item How do I get the 25% profit? (you can change the whole sale price and the retail price[if i sell the item]) if I buy the pencil at 24 pieces and sell it at 24 pieces. Answered by Penny Nom. A square frame 2014-01-01 From steve: using 6" wide boards how many inches would each of 4 boards equal in length need to be to produce a square with an inside perimeter of 84 inches on a side? what is the exterior perimeter? There is to be 45 degree cuts at each end of each board. What formula is used to make this calculation? Answered by Harley Weston. 4 children 2013-12-31 From hope: 4 children; Peter is 7 years old & is 4 years younger than Dave. Dave is 9 years older than Paul. Paul is 11 years younger than Frances. Please list the children in order from oldest to youngest?! thank you and anxiously await your answer, Hope Answered by Penny Nom. What does y= f(x) actually mean? 2013-12-31 From John: I don't understand how to pick coordinates for y=f(x). I took a look at your answer to a previous question here: http://mathcentral.uregina.ca/QQ/database/QQ.09.00/monica2.html What does y= f(x) actually mean? Answered by Penny Nom. The markup as a percentage 2013-12-31 From Alesha: The buyer for a chain of stores purchased coffee tables in bulk, paying$18.00 each. The store will sell each coffee table for $54. What is the markup percentage? Answered by Penny Nom. The slope of the line y=-2x+5 2013-12-29 From victoria: what is the slope of the line with the equation y=-2x+5 Answered by Penny Nom. Distance from a point to a line 2013-12-28 From Sue: I need to find the distances from the west line on 1st Take Point and 2nd Take Point. Thanks, Sue Answered by Penny Nom. ug/l and ppb 2013-12-27 From Wally: convert 40.5 ug/l to ppb? Answered by Penny Nom. A linear equation 2013-12-26 From khushboo: A farmer sowed wheat and paddy in two fields of total area 5000 sq.m. Write a linear equation and draw a graph to represent the same? Answered by Penny Nom. An infinite geometric series 2013-12-24 From Muhammad: The sum of an infinite geometric series is 15 and the sum of their squares is 45. Find the series Answered by Penny Nom. The area of a quadrilateral 2013-12-21 From khushboo: Find the area of quadrilateral pqrs in which angle QPS=90°,PQ=12cm, PS=9cm, QR=8cm and SR=17cm. (Hint: PQRS has two parts) Answered by Penny Nom. A 4 digit number 2013-12-20 From swathi: How many 4 digit numbers can be formed using the digit 3 only once but the digit 3 must be used in all numbers? Answered by Penny Nom. A pattern for a truncated cone 2013-12-20 From Josh: I need to know how to layout a truncated cone with a base diameter of 18" a top Diameter 15.25 and a height of 20". Your help will be greatly appreciated. Answered by Penny Nom. Find the next 3 terms of the sequence 2013-12-19 From Lanelyn: Find the next 3 terms of the sequence 2,3,9,23,48,87,__,__,__ Answered by Robert Dawson. Analytic Geometry 2013-12-18 From fRitz: if (x,4) is equidistant from (5,-2) and (3,4), find x. Answered by Penny Nom. Schedule for a 4 team basketball league 2013-12-08 From Sommer: I need a schedule for my kids basketball league. There are 4 teams. We will play every Saturday for 4 weeks with 4 games per Saturday. Week 5 will be the playoffs where 1st will play 4th and 2nd will play 3rd. Week 6 will be winners of week 5. Please help!! Answered by Victoria West. A circle insubscribed in an isosceles trapezoid 2013-12-08 From Bob: A circle is insubscribed in an isosceles trapezoid, with parallel lengths of 8cm and 18cm. What is the lengths of sloping edges and why? Answered by Robert Dawson. Can 100r^2-81z^2 be factored? 2013-12-08 From Rosa: Can 100r^2-81z^2 be factored? Answered by Penny Nom. 7 digit phone numbers 2013-12-08 From Sean: Hi I was wondering how you would calculate how may 7 digit phone numbers there are with only odd digits? Answered by Penny Nom. A word problem 2013-12-08 From Malissa: I am attempting to help my son with his math word problem, please help thank you . Kylie and Ethan kept scrapbooks of their grandfather's stories from world war II. Kylie has 6 more than half the number of pages Ethan has. If Kylie has 21 pages in her scrapbook, how many pages are in Ethan's scrapbook? Answered by Penny Nom. conical lamp stand/staved wood 2013-12-07 From Henry: need to make lamp stand that is wooden staved; need it to be 25 inches at bottom and 10 inches at top; need to know angles for staves to be cut; the lamp stand will be rounded on a lathe and will be 40 inches tall John Lucas built one and it is pictured on his web page. thank you for any help/direction; I checked out the answered for cone shaped objects on your page but didn't find what I could use. thanks again. Henry--woodturner, parent teacher student . . . . . Answered by Harley Weston. How do I graph y=-2x-1? 2013-12-07 From cindy: How do I graph y=-2x-1? Answered by Penny Nom. HST, PST and GST in Ontario 2013-12-05 From Don: I have a HST total. I need the HST amount broken-down to a PST and GST amount for Ontario. Answered by Harley Weston. Fractions and square roots 2013-12-04 From arionne: How do you solve a square root with improper fractions like 121 over 49 Answered by Penny Nom. f(x)= a+b*lnx 2013-12-04 From Kevin: How do I find the curve, algebraically on paper, for f(x)= a+b*lnx with data points (6,1303) (9,1639). I can do it with LnReg on a calculator but I want to know how to get the same results or close to the same results by working it out on paper. When I run it through the LnReg on the calculator I get, f(x)=181.792+828.678 Ln x. How did it achieve this solution? Answered by Penny Nom. Problem solving with fractions 2013-12-03 From Jennie: Paul has 2/3 as many postcards as Shawn. Shawn has 3/5 as many postcards as Tim. If the 3 boys have 280 postcards, how many more postcards does Tim have than Paul? Answered by Penny Nom. Exponential form 2013-12-01 From Alina: My question says to express each number in exponent form in as many different ways as I can; 16, 81 and 64. How do I do this? Answered by Penny Nom. Factor 2013-12-01 From Rosa: How do you factor 9x^2 - 12y^2? Answered by Penny Nom. What is the slope of this line? 2013-12-01 From Charlene: What is the slope of this line? Answered by Penny Nom. 0.35 as a fraction 2013-11-28 From Laura: How do you write 0.35 as a fraction or mixed number? Laura Answered by Penny Nom. People on a bus 2013-11-28 From jeric: 3/10 of the passenger in a bus were men, 2/7 of the remainder were women and the rest were children, if there were 50 passengers in the bus, how many more children than women were there? Answered by Penny Nom. The area of a parallelogram 2013-11-28 From shivam: a parallelogram has sides 34 cm and 20 cm .one of its diagonal is 42 cm. calculate its area Answered by Harley Weston. A sale price for a TV 2013-11-28 From tom: a TV can be purchased for$278 normally is $328. what is the percent of the present cost of this TV will you be saving? Answered by Penny Nom. A quadratic equation 2013-11-27 From corinanna: Hi, How do you find a quadratic equation given the domain & range, & or the y-intercept? Answered by Penny Nom. Coefficients 2013-11-27 From kim: in the expression below, what number is the coefficient of y? y2+3y+4 Answered by Penny Nom. Base 5 arithmetic 2013-11-27 From samuel: Good day sir, please i don't understand when you say 4x4=13 in base five? In fact, am always having difficulties in addition, subtraction, division and multiplication of number in the same base other than base ten. Please can you give me one example each with details explainations? Answered by Penny Nom. 2 concentric circles 2013-11-27 From Dimaris: The radius of the outer circle of 2 concentric circles is x. An equilateral triangle inscribed in the outer circle also circumscribes the inner circle. What is the radius of the inner circle in terms of x? Answered by Penny Nom. Problem solving 2013-11-26 From Moira: Amy has £5 more than Ben. Ben has twice as much as Chris. In total they have £20 how much do they each have Answered by Penny Nom. Three roommates share the rent 2013-11-23 From Cortlin: Because of different bedroom sizes, three roommates decide to split the rent this way: Roommate A pays 75% as much as B does, and C pays 40% as much as B does. What fractional part and percent of the rent does each roommate pay? Answered by Penny Nom. A schedule for 32 golfers 2013-11-22 From Scott: I would like a schedule for 32 guys playing in 8 foursomes for 13 week. I would like it so that no one plays in the same foursome more than once or twice. Is this possible to do??? Can you let me know at bogeysm@yahoo.com if you can do it and if you will do it. Answered by Victoria West. Admiring handblown glass ornaments 2013-11-21 From Ruby: We are admiring hand blown glass ornaments 5% are unmarketable due to defects what is the probability the 3rd ornament is the first defective one Answered by Penny Nom. Why can't we add or subtract speed? 2013-11-21 From kashish: why we cannot add or subtract "speed" / directly in any given distance , speed , time questions? Answered by Chris Fisher. Adding mixed numbers 2013-11-20 From Kathy: 1 3/4 + 1 2/3= ? 5 1/2 - 2 5/6= ? Answered by Penny Nom. Scheduling 10 people for 5 rounds 2013-11-20 From Keith: Using golf as an example, I would like to schedule 10 people for 5 rounds with 2 groups of 4 and 1 twosome each round. I would like to minimze the number of times any one player plays with another. Can you provide an optimal schedule? Thank you for your help. Answered by Victoria West. The area of an irregular octagon 2013-11-18 From zafar: if i have a rectangular octagon then how i can find its area 1. The length of rectangle is 42 and the width is 21 and and the base length is 42-12 =30 i mean the length of base =30 Answered by Penny Nom. Evaluate log3 14 2013-11-17 From Tash: Use the Change of Base Formula and a calculator to evaluate the logarithm, correct to six decimal places. Use either natural or common logarithms. log3 14 Answered by Penny Nom. Solve 0=-2(x-5)^2+4 2013-11-17 From Leila: How do you find the solution to 0=-2(x-5)^2+4 Answered by Penny Nom. How many cords of wood is this? 2013-11-17 From melody: 5.5 ft wide and 24ft long and 10ft wide how many cords of wood is this? Answered by Penny Nom. Inflection Point 2013-11-15 From Z.: I was wondering if the function F(x)= x/ln(x) had an inflection point? If yes, why it's not visible on the graph of the function? Thanks. Answered by Penny Nom. 2cos(2A)=-2^1/2 2013-11-14 From Mary: Solve the following trigonometric equation over 0 being less than or equal to A but less than 2pie 2cos(2A)=-2^1/2 Answered by Penny Nom. n log n = 36 * 10 ^ 12 2013-11-12 From shihab: How to find value of n in this equation : n log n = 36 * 10 ^ 12 Answered by Penny Nom. One train overtaking another 2013-11-11 From kiran: two trains of equal length are running in parallel tracks in the same direction with the speed of 60km/hr and 90km/hr respectively the latter completely crosses the former in 30 seconds the length of each train is in mtr Answered by Penny Nom. Matrices 2013-11-10 From Ricky: Why must we have brackets around matrices. Why don't we just neatly write an array of entries cross-wise and up and down to indicate a particular matrix? Answered by Chris Fisher. A lever 2013-11-09 From Durgesh: A farmer uses a 2 m long lever to lift large rocks from the ground of his field . He places a fulcrum 20cm from the rock end of the lever and then stands on the other end, levering out the rock. If the farmer weighs 100 kg , what is the heaviest mass of the ro ck that he can lift using this method? (how to solve) Answered by Penny Nom. The popcorn box problem 2013-11-07 From Dave: We know that calculus can be used to maximise the volume of the tray created when cutting squares from 4-corners of a sheet of card and then folding up. What I want is to find the sizes of card that lead to integer solutions for the size of the cut-out, the paper size must also be integer. EG 14,32 cutout 3 maximises volume as does 13,48 cutout 3. I have done this in Excel but would like a general solution and one that does not involve multiples of the first occurence, as 16, 10 cutout 2 is a multiple of 8,5 cutout 1. Answered by Walter Whiteley. 200,000 cubic metres 2013-11-06 From John: Hello: I'm a journalist reporting on the proposal to bury 200,000 cubic metres of radioactive waste below ground near Kincardine, Ontario. I'm trying to put this figure into some kind of perspective for readers -- particularly in the U.S., where most are unfamiliar with the metric system. I don't know whether there's any particular frame of reference that would be enlightening -- U.S. football fields, Olympic-sized swimming pools, etc. Can you help? Thanks very much in advance, John Answered by Harley Weston. The average time per mile for a marathoner 2013-11-04 From Peter: a runner ran a 26.2 mile marathon in 2hours 8minutes and 24secounds. the question is, what was his average time for each mile that he ran? Answered by Penny Nom. Substitution type simultaneous equations 2013-11-03 From Kayla: I am having problems with substitution type simultaneous equations, when the variable you are substituting is a algebraic one: y=x^2-3x+4 and 3x-2y=1 I have rearranged 3x-2y=1 to get x=(1+2y)/3 but when I substitute this x value into the other equation, I get the wrong answers! Would appreciate any help! Thank you. Answered by Penny Nom. Water flowing out of a tank 2013-11-03 From Carolyn: The flow of water out of a hole in a tank is known to be proportional to the square root of the height of water above the hole. That is, dV/dt (proportional to) sq root (h) The tank has a constant cross-sectional area A, show that the height of water in the tank is given by h = ((-kt+C)/2)^2 If the tank is 9 metres high, and it takes 5 hours for it to drain from full to half full, how much longer will we have to wait until it is completely empty? Answered by Penny Nom. The depth of a lot 2013-11-02 From Gini: what is the depth of a lot with 45 feet frontage containing 1080 sq yards Answered by Penny Nom. A ratio problem 2013-10-31 From indu: students of a school have been into 2 groups in the ratio 6:11, if the group has 870 students, how many students are there in all the school? Answered by Penny Nom. An extension using concrete blocks 2013-10-30 From david: hi how many concrete blocks would i need for an extension 50 ft long ,20 ft wide and 12ft height Answered by Penny Nom. A sloped concrete wall 2013-10-30 From Brad: We are planning on pouring concrete in a wall form that is sloped. One end is 73 inches tall, and it tapers to 24 inches tall over a distance of 348 inches. It is flat on bottom and sides and is 12 inches thick. Thanks. Answered by Penny Nom. Is-5/-11 a positive rational number? 2013-10-30 From tazneem: Is-5/-11 a positive rational number Answered by Penny Nom. A plane 2013-10-27 From Thomas: Why is this 3d plane flat? if m ≠ n arcsin(sin(m*arctan(x/y))), arcsin(cos(n*arctan(x/y))), Pi-arcsin(sin(m*arctan(x/y)))-arcsin(cos(n*arctan(x/y))) This is using radians. These are angles of a triangle, when m and n are the same it is a right triangle. All three inputs are not equal to each other. The last input is pi minus the first two inputs, which makes a complete triangle. I was kind of hoping to find more lissajous curves. It doesn't make sense to me that this is a flat plane, a diagonal one at that. I'm not a student or anything. I'm just wasting time. Answered by Chris Fisher. The perimeter of a rectangle 2013-10-24 From sana: if the length is given 70 m and the breadth is given as 40 m find the perimeter of the rectangle Answered by Penny Nom. A stem and leaf plot 2013-10-24 From mary: Hi I'm trying to answer my child's question on stem and leaf plot. For grade 4, the question is where do you put 57 in this list 6 0 5 4 8 8 9 4 6 4 Answered by Penny Nom. Tim is standing in a hole 2013-10-23 From Marvel: Tim is standing in a hole that is 4 feet deep. Ben asks him how much deeper is he going to dig the hole. Tim replies he will dig to the level that is 4 feet 2 inches deeper and that then the top of his head will be the same distance below ground level that it is now above. How tall is Tim? Answered by Penny Nom. An equation with fractions 2013-10-22 From Bill: 1/5n= -9 Solve this equation in simple steps! Answered by Penny Nom. Extraneous solutions 2013-10-22 From tom: i need an equation where x=-2 is the correct answer and x=-3 is an extraneous solution. can you provide me with such an equation?? Answered by Harley Weston. Together, Tom and Max have 72 football cards 2013-10-21 From Maureen: Together, Tom and Max have 72 football cards. Tom has 2 more than 4 times as many cards as Max has. How many football cards does Tom Have? Answered by Penny Nom. A union and interception problem 2013-10-19 From Zakir: Sir, I have some problem in union there is a Question in a book find B set if A={2,4,6,8} , AUB={2,4,5,6,7,8} and A intersection B={6,8} plz tell me how can I find the B set Answered by Penny Nom. Peter bought pizza and drinks 2013-10-19 From sd: Peter spent$30 on pizza and 3/4 of the remainder on drinks. He has 2/9 of the original amount left. How much had he at first?
A string wrapped around three circles 2013-10-19
From Jim:
A recent puzzle ' find the length of a string around 3 touching 1 meter diameter circles ' gave this answer : the string touches 120° (or pi/3 meters) of each circle. Then 3(1+pi/3) = 3+pi meters is the required length. I do not see how it was determined that the string touches 120° or pi/3 meters?
Please explain . Thank-you , Jim

What the dog weighs 2013-10-17
From linda:
Sam has a dog and rabbit together they weigh 104 lbs the dog weighs 12 times more then the rabbit what is the dogs weight
Factor strings 2013-10-14
From Jane:
What's a factor string? I'm confusey in the head.
A square inscribed in a circle 2013-10-14
From Jenn:
Hello! I am about to buy a 7'9" round rug, but I want to have it cut down into a square. What's the largest square I can obtain from this? Thank you!
GST and PST 2013-10-14
From Janine:
450.00 x 8% gst and 450.00 x 13% pst
Base 5 arithmetic 2013-10-12
From Obassy:
(4 2 4 3)-(1 3 x 4)=( Y 3 4 4),find the value of x and y in the subtraction above carried in base five?
Solve for x 2013-10-12
From Megan:
X\2400. Times 100=40%. What is x?!
A frustum 2013-10-12
From Lily:
A cone of height 6in. and radius of base 4in. has its top cut off by a plane parallel to its base and 4in from it. Find the volume of the remaining frustum.

I have worked out the volume of the entire cone but I don't know how to work out the radius of the top of the frustum.

Thanks

The domain of a derivative 2013-10-10
From Renee:
I am looking to find the domain of a derivative of a radical function, one such as: f(x) = the square root of (8 − x).
I am kind of unclear on how domains work for derivative. I don't understand how you take a function's domain and use that to find the derivative's domain.
Thanks!

Proportional rates 2013-10-10
From Varsha:
A province's Ministry of Social services has found that both the number of people needing social assistance and the province's total expenditures on social assistance are proportional to the rate of unemployment. Last August when the provincial unemployment rate was 8.4 %, the province provided assistance to 89,300 individuals at a total cost of 4107.4 million. The forecast unemployment rate for next August is 7.9%. How many people can the province expect to need social assistance next August? What amount should the province budget for social assistance in August?
How many cubic centimetres are there is a cubic meter? 2013-10-10
From Larry:
Change 1meter(to 3rd power) to centimetre(to 3rd power). This is a metric conversion problem
Markup 2013-10-10
From toya:
The cost for an item is $27.99. If the selling price is$39.99, then detetmine the following markup, %markup on cost, %markup on selling price
Four tangent circles 2013-10-09
From Nilesh:
Four circular cardboard pieces, each of radius 7cm are placed in such a way that each piece touches two other pieces. How to find the area of the space enclosed by the four pieces?

Maximize the volume of a cone 2013-10-09
From Conlan:
Hi I am dong calculus at school and I'm stumped by this question:

A cone has a slant length of 30cm. Calculate the height, h, of the cone if the volume is to be a maximum.

If anyone can help me it would be greatly appreciated.

thanks.

An Arithmetic Progression 2013-10-08
From collins:
In an A.P. the difference between the 8th and 4th term is 20 and the 8th is one and half times the 4th term... what is the common difference and the first term
A line through (5, 1) 2013-10-08
From allison:
find an equation in standard form for line passing through point (5,1) and perpendicular to line x=4
The ratio of salt to water 2013-10-06
From varsha:
My name is Varsha. I am a student and below is my question:

1. The brine used in an industrial process is 12.5% salt by weight. What i= s the ratio (by weights) of salt to water to the brine?

Thank you Varsha

Two bikers race on a circular track 2013-10-03
From bryan:
two bikers race on a circular track. biker a can circle the track in 8 minutes, and biker b can circle the track in 6 minutes. From the start of the race, how many minutes will it be before biker b overtakes biker a.
A triangle problem 2013-10-02
From raneem:
ABC is a triangle in which : BC=20cm. M(<B) =29 and m(<C)=73 . D is the midpoint of BC Find the length Of AB and AD approximated to 2 decimal places
Problem solving 2013-10-02
From naomi:
My son having trouble a math problem please help with this question a bag of cough drops contains 36 drops. the fraction of each flavor is shown in the table strawberry 5/12 honey 1/12 cherry 1/6 mint1/9 and lemon 1/4 which flavor is the greast in the bag
From monica:
the questions in the homework says change the order or group the addends so that you can add mentally ,find the sum and tell which property you used 120+37+280 and 25+25+30
Base 5 2013-09-30
From Zakir:
Sir I wanna know something about base 5 number system Why we use it and who use this ? and what is the purpose of it
Two teams of 4 playing 4 rounds of golf 2013-09-29
From Tom:
We would like to play a ryder cup format with two teams of 4 playing 4 rounds of golf. Three of the rounds would be pairs playing each other and one round would be singles. How can we set up the foursomes so we balance the number of times we play with every other golfer.
The markup on a country maple bedroom set 2013-09-26
From steven:
Bargain Furniture sells a five-piece country maple bedroom set for $1299. The cost of this set is$700. What are the markup on the bedroom set?
Cubic centimeters, milliliters and grams 2013-09-26
From Laura:
How do I find the volume of a cube with dimensions of .78 cm, .3 cm and .22 cm? Then find the volume in ML and the mass if filled with water?
12 golfers for 7 rounds 2013-09-25
From Dennis:
I have 12 golfers playing a round of golf for seven days. How can I set-up teams so that everyone plays with everyone at least once in those seven days. Thanks!
A schedule for 2, 7 team divisions 2013-09-24
From Sampson:
I'm looking to set up a weekly schedule within a 22 week segment of 2 7 team divisions where every team plays every other team in their divison 3 times and have 4 cross over games with 4 of the other 7 teams in the other division. I've yet to figure this out. Thanks for your time.
6 golfers in threesomes over 7 rounds 2013-09-24
From David:
I have 6 golfers, (2 threesomes) who will be playing 7 rounds of golf. What is the best way to pair the 6 players so they play with as many different players over the 7 rounds?
Two, 2-digit numbers 2013-09-24
From Tony:
Write a problem that has two 2-digit numbers.

A pool, a school, a park and home 2013-09-24
From Selena:
The distance from the park to the pool is the same distance as the distance from your house to school. The school is between the pool and your house. Prove that the distance from the park to the school is the same distance from the pool to your house.
Price, revenue and profit 2013-09-22
From lorraine:
What price maximizes revenue? What price maximizes profit?

The only data I'm given is total output, total revenue, and total cost. I'm not sure how to set up a formula

25 people are attending a 5 day meeting. 2013-09-20
From Lisa:
25 people are attending a 5 day meeting. There are 5 tables, with each table seating 5 (or 6). I want each person to sit at a different table every day with completely different people.
Is this possible. Can do I figure this out?
I have each of the people a letter designation from A to Y. Each table have a number from 1 to 5.
Thank you!

A sequence of operations, in order 2013-09-20
From jen:
multiply 46x23
divide by 70
subtract 5
I not sure what the answer is..i need to know the answer..thanks..

A rectangular hyperbola 2013-09-19
From Soumya:
Is the graph of an inverse variation a RECTANGULAR HYPERBOLA? If it is, then how can be the equation of a rectangular hyperbola be xy=constant , whereas in the books it is written that the graph of a rectangular hyperbola is- x^2-y^2=a^2?
The number of cords on a pile of wood 2013-09-18
From Gary:
a cord of wood is 4 feet by 4 feet by 8 feet, how much wood is a row that is 16 in by 5 foot by 32 feet?
If the earth was made of a ball of string 2013-09-18
From Tammy:
My 9 year old son asked me a question and I have no idea how to work it out! Please can you help?

If the earth was made of a ball of string and you unravelled the string how long would it be? Assuming the string is 5mm thick.

The volume of an attic 2013-09-18
From David:
I have small equipment hut that has a small attic space that I want to blow insulation into it.
The attic size is shaped like a triangle that is about 8 feet by 10 feet by 7 inches at the highest point.
I need to estimate the volume in square feet or cubic feet to know how many bags of insulation to blow into the space.
Thanks

A concrete walk around a pool 2013-09-18
From poornima:
circular Swimming pool is surrounded by a concrete walk 4 feet wide, if the area of the walk is 11/25 of the area of the pool, then the radius of the pool in feet is
Covering a styrofoam ball with fabric 2013-09-11
From Alice:
I am trying to create a pattern in order to cover a styrofoam ball with fabric. The pattern needs to be done in such a way as to have only a center seam, rather than several vertical lines as in slicing a melon.
Intersection points and diagonals 2013-09-11
From Kenneth:
I was wondering, is there a relationship between the number of sides of a regular n-gon and the number of times its diagonals intersect?
Ie:
4 sides=1 intersect (center, diagonals form an 'X' )
5 sides=5 intersects (diagonals form a star)
6 sides=13 intersects
And so on.

Miles per minute to miles per hour 2013-09-08
Convert 250 miles per min to miles per hour
A question on markup 2013-09-08
From ezile:
if the gross profit for the previous year was R125000 and for the new year its R195000 the mark up achieved was 95%....whats the new mark up
How we convert cm to mm? 2013-09-08
From Génesis:
How we convert cm to mm?
A contest with 31 people 2013-09-06
From Kevin:
There is a contest with 31 people and only one winner each week.
We play for 17 weeks.
What are the odds of winning at least one week?
The chances of winning each week are independent from previous weeks.

The sum of all whole numbers from 1 to X 2013-09-06
From Tim:
How do I develop a rule for the sum of all whole numbers from 1 to X when I have no idea how to do this
A garden path 2013-09-06
From mary:
garden path has 8 white slabs, four of the slabs are one third grey, what area of the path is grey
1760 as a percentage of 5000 2013-09-05
From ken:
how do I express 1760 as a percentage of 5000
A word problem 2013-09-05
From Thomas:
I'm trying to help my 9th grade child with their homework. The problem is the Length of a rectangle is twice as long as it is wide. The perimeter is 68m. Find It's length and width
2^x . 5^3 = x^4 2013-09-05
From Zuhdina:
Hi, I got a question, 2^x . 5^3 = x^4 I want to know the value of x without using calculator, I've already done some questions in logarithm and I always stuck in the same model equation-I think if someone shows me the way, I can do the other 'stuck equations'
A sequence or a series? 2013-09-05
From Rahul:
Whether the following sequence is increasing or decreasing? I even do not kow whether to call it a sequence or not. an = (1/(1+n))+(1/(2+n))+....+(1/(n+n)). I am confused. It looks like a series to me. Please help.
Regards,
Rahul

6 golfers in threesomes 2013-09-04
From Gregg:
We have 6 golfers playing in threesomes for three rounds of golf. I would like each golfer to play equally with the other 5. How can this be done.
A Hole-in-one on all four par 3's 2013-09-04
From Robert:
There are four (4) par 3's at a specific 18 hole course. One member has the honor of making a Hole-in-one on all four par 3's. It has taken him 8 years to do it! How does one go about computing the odds of this TREMENDOUS accomplishment? Respectfully, Robert laffal
7 golfers, a threesome and a foursome 2013-09-04
From Scott:
I'm leading a golf trip with 7 guys, and we're playing 5 rounds of golf together with a threesome and a foursome at each course..

I want to set up a schedule where each person plays at least two rounds with each of the other 6 guys.

Is that possible? I can't seem to find the right combinations.

14 golfers in two person teams 2013-09-04
From Stewart:
How to rotate 14 golfers in two person teams without duplication until all have been paired at least once. Play is once per week.
A two digit number 2013-09-04
From JEFFERSON:
The sum of the digits is 6. When the digits are interchange, the new number represented is 3 time the 10 digit of the original number. Find the original number?
8 numbers from 80 2013-09-04
From susan:
Out of 80 numbers how many combinations of 8 are there and what are they.
How many nickles do you have? 2013-09-04
From Monica:
You have 15 more dimes than nickels. If you have $2.55, how many nickels do you have? Answered by Penny Nom. Ordering crushed stone 2013-09-03 From Prakash: Dear Sirs, I am working in a Soft Landscaping contracting company. If I need to purchase crushed stone with the size 50-70mm for$53,429 m^2$area, how many 20feet containers should I need to order to my suppliers? The 20foot container has internal dimensions 5,897 mm by 2,348 mm by 2,285 mm and the$53,429 m^2$area is to be covered by 10 cm of stone. Answered by Harley Weston. The perimeter of a 1.4 acre square 2013-08-29 From Destini: I cannot figure out what the perimeter for 1.4 acres of land in the shape of a square. I have tried and tried and eventually tried to use a calculator and I still can't figure it out. Can you help me? Thanks! Destini Answered by Penny Nom. A schedule for 18 golfers 2013-08-29 From Brian: After searching the data base which helped me solve at least 3 other issues I have one more un answered question. I have 18 golfers split into 6 threesomes for 4 days of golf. What is my best option for a schedule mixing them all up as much as possible over the course of the 4 days Answered by Victoria West. An algebraic equation 2013-08-28 From walter: i'm a parent helping my daughter can you do a step by step on this equation been out of school for years thanks (4w-28)+(11w+13)=180 thanks Answered by Penny Nom. More than half of the people said... 2013-08-26 From Lucy: Hi, The question is: Samoa 23% Brazil 41% Sri Lanka 52% Senegal 39% Armenia 37% Croatia 20% Why is the following statement true for the data above: More than half of the people said they were interested in Sri Lanka. The reason I don't understand the problem is that because the percentages add up to be greater than 100%, that means that the 500 people(as stated in the question) who participated in the survey got to pick more than once. Therefore, it is not 52% out of 100% anymore. Thanks for taking the time to answer my question. Answered by Robert Dawson. Golden Ratio 2013-08-26 From Mark: Please Help. I'm trying to help my Child and I have no clue on this math question. Rectangular shapes with a length to width ratio of approximately 5 to 3 are pleasing to the eye. The ratio is know as the golden ratio. A designer can us the expression 1/3(5w) to find the length of such a rectangle with width 6 inches. Answered by Robert Dawson and Penny Nom. More on the scheduling of 16 golfers in 4 rounds 2013-08-26 From Peter: I see your formula for 16 players 4 rounds. Is it possible to get the players into different groups each day. E.G Player 1 in group 1 the first day, Group 2 the second day, Group 3 the third day, Group 4 the fourth day. Then so on through the players. Answered by Victoria West. Tesseract 2013-08-22 From Dan: I am not a mathematician. This seems to me an intuitively simple enough problem that I very much need an answer to from someone who's mathematics are better than mine. Please help. The question is: for a tesseract of side length = 1 what is the distance of the center of each cube from the center of the tesseract ? I think I have calculated the distance of each vertex from the center, and of the center of each edge from the center, but the question above baffles me. (anyone not having a clue what I am talking about can brush up here http://en.wikipedia.org/wiki/Tesseract ) Thanks in advance - Dan V Answered by Robert Dawson. Constructing a triangle 2013-08-22 From Nazrul: The base, the difference of the angles adjoining the base and the sum of the other two sides are given. How can I draw the triangle? Please help me. Answered by Chris Fisher. Euclid's Parallel Postulate 2013-08-20 From Justin: Hello there, I was wondering is Euclid's Fifth Parallel Postulate of parallel lines never intersecting, undecidable or essentially undecidable? Thank you so much for any help you can provide! Answered by Robert Dawson. Similar rectangles 2013-08-17 From Mattie: The dimensions of a rectangular-shaped picture frame are 14 inches long and four inches wide. Which dimensions below represent another frame that i geometrically similar> a. l=49 in. and w=14in. b. l=7in and w=3in c. l=21in and w=8in d. l=24in and w=14in thanks Answered by Penny Nom. Equal ordinate and abscissa 2013-08-15 From sonit: the slope of tangent to the curve y=(4-x^2)^1/2 at the point, where the ordinate and abscissa are equal, is Answered by Penny Nom. Two perpendicular lines 2013-08-15 From Hanna: The problem says, "Write the equation in standard form for the line that is perpendicular to the graph of y=5x+1 with a y-intercept of 4." I have no clue how to do this. Please help me! Answered by Penny Nom. Golf for 11 2013-08-14 From Don: 2 foursomes and 1 threesome for 6 rounds of golf Answered by Victoria West and Harley Weston. The volume of a pond 2013-08-14 From Kelly: I have a pond that measures 335 feet wide, 385 feet long and 18 feet deep with a 4:1 slope on all four side. How do I figure out how many gallons of water this pond will hold? Answered by Harley Weston. Using trig to find the height of a hill 2013-08-14 From Anna: From the top of a hill, the angles of depression of two successive milestones on a level road, which leads straight away from the hill, are 5degrees and 15degrees respectively. Fine the height of the hill. Suggestion: BE is drawn perpendicular to AD. Find BE, then BD, finally CD. Thanks :) Answered by Penny Nom. A system of equations 2013-08-13 From Nina: 3x-2y=8 -x+3y=5 What is the solution of the system of equations Answered by Penny Nom. An equation in slope-intercept form 2013-08-12 From Brittney: write an equation in slope-intercept form of the line that is parallel to the grapg of y=-3/4x+6 passes through -8,-5 Answered by Penny Nom. A mixture problem 2013-08-11 From MJ: How many liters of pure acetic acid must be mixed with 3 liters of a 30% acetic acid to obtain a mixture of 65%? Answered by Penny Nom. Consecutive Numbers Question 2013-08-11 From Lucy: Hello, I have a question about consecutive numbers. So lets say a question tells you to find what three consecutive numbers are that add up to a certain number. To calculate this, would you use 2x+1, 2x+3, 2x+5 or just x, x+2, x+4. Also, the same question for even numbers. Would you use: 2x, 2x+2, 2x+4 or just x, x+2, x+4. My math book is confusing because it uses the first strategy(the 2x+…) in some situations and the second strategy(x+…) in other situations. Thus, can you provide me an explanation of why you would use the strategy that is correct? Specifically, my book answered this question: If “n” is the first of five consecutive odd numbers, what is their average, using n,n+2….=5n+20 and average is n+4(this is the answer),. For the question: the sum of 4 consecutive odd integers must be: Divisible by 8 but not necessarily 16(this is the answer), it used the strategy 2k+1, 2k+3…=8k+16. Thank you so much for taking the time to answer my question. Answered by Harley Weston. If I know only the tax amount, how do I figure out total cost? 2013-08-11 From Patric: If I know only the tax amount, how do I figure out total cost? Answered by Penny Nom. What is the original speed? 2013-08-10 From MJ: If a truck increases its average speed by 10 km/h it can cover 60 km at the original speed in the same time that it can cover 80 km at the faster speed. What is the original speed? Answered by Penny Nom. Differentiate x^x - 2^sinx 2013-08-09 From tarun: derivative of x^x - 2^sinx Answered by Penny Nom. What percent is 50 of 4.5 billion? 2013-08-08 From Bobby: What percent is 50 from 4.5 billion? Answered by Penny Nom. Four equations 2013-08-08 From may: HI how to solve this 4 equations? A+C = 0 -4A+B-8C+D=1 3A+16C-8D=-29 -12A+3B+16D=5 Answered by Robert Dawson. Practical uses of trigonometry 2013-08-06 From tharindu: use of trigonometry Answered by Penny Nom. Slicing through a cone to form an ellipse 2013-08-06 From Pulkit: we get an ellipse on slicing through a cone. Is there a relation between central axis of the cone and this ellipse? Does it pass through the any of the foci of the ellipse? Answered by Chris Fisher. Squares and cubes 2013-08-02 From Sandra: What whole number equals 25 when it is squared and 125 when it is cubed? Answered by Penny Nom. A golf tournament for 12 people 2013-08-01 From Brad: I've looked all over the web for a solution to this (including searching the archives here) to no avail. We're doing a golf tournament with twelve people. Each person has a "handicap" that demonstrates their skill level. We have these numbers for each of the 12 players. We are trying to figure out how to schedule two rounds of golf with the most balance possible. - We are playing two "real" rounds of golf (18 holes). There are four people per group. - We want to split each round into two 9 hole games, which gives us a total of 4 games - Halfway through (after 9 holes), you switch partners within the foursome that you're playing in. - We want everyone to play with 4 unique different teammates So say you start the first 18 hole round as a group of Players 1, 2, 3, and 4. Players 1 and 2 are a team, and players 3 and 4 are a team. After 9 holes, Player 1 would either be paired up with Player 3 or 4, and the other two players would pair up as well. Then the next day we will mix up the foursomes and do the same thing. In terms of just pure scheduling this is simple. But I'm trying to figure out how to best balance the handicaps (simple average of each team's two handicaps works here). Assuming I'll need some sort of program or spreadsheet. Any help or even a push in the right direction would be a tremendous help. Thanks in advance to anyone who wants to give this a shot. Answered by Victoria West. Golf for 16 2013-07-31 From Graylin: I am going on a golf trip and we have 16 players and need to know a formula that will allow us to all play together at some point in the 4 rounds we are playing. If not possible please provide best case. Thanks. Answered by Victoria West. 16 golfers 2013-07-31 From Pat: 16 golfers...3 nine hole rounds a day...for 4 days. what are the best pairings for the fewest repeats of partners? Answered by Victoria West. Dilution of concentrated acid 2013-07-31 From Adom: I have 500mls of 90% conc. of an acid. Now I need to prepare 20% concentration from this (say 100mls of this). How much of the stock solution do I take and how much water to add? Thanks! Answered by Penny Nom. Two parallel chords of a circle 2013-07-30 From Don: two parallel chords of a circle AB and CD on the same side from the center measure 6cm and 11 cm respectively. The distance between the 2 chords is 3 cm. Find the radius Answered by Penny Nom. A mixture problem 2013-07-29 From Lucy: Hi, For the following question: Ten pounds of mixed nuts contain 50 percent peanuts. How many pounds of peanuts must be added so that the final mixture has 60 percent peanuts?(A) 2.5 (B) 5 (C) 6 (D) 10 (E) 12.5, my math book gives my the following explanation: Try choice (C): 6 pounds of peanuts. The original 10-pound mixture contained 50 percent peanuts, or 5 pounds. Now you have 11 pounds of peanuts in a 16-pound mixture, more than 60 percent. This result automatically eliminates choices (D) and (E) as well.Why would this result automatically rule out D and E? How can you tell? Thank you for taking the time to answer my question. Answered by Robert Dawson and Penny Nom. A word problem 2013-07-29 From Gontsejalo: Your firm held a dance competition. 900 people attended the dance competion.The cost of admission was 20rand per person and 30,50rand per couple.Twice as mant 20rand tickets as 30,50rand tickets were sold.find the amount of money obtained from the tickets sales Answered by Penny Nom. Working backwards 2013-07-28 From Petal: Tom bought some oranges. He threw 37 rotten oranges and bought 56 more. Finally he had 220 oranges. How many oranges did Tom had at first? Answered by Penny Nom. The area of a semicircle 2013-07-28 From Lucy: Find the area of the the figure described: a semicircle with arc length 3 pi. Answered by Penny Nom. A triangle construction 2013-07-27 From Nazrul: Two angles and the difference of the lengths of their opposite sides of a triangle are given. How can I draw the triangle. Please help me. Answered by Chris Fisher. Ann has a bag of marbles. 2013-07-25 From Carmen: Ann has a bag of marbles. she gave one half to her friend Tina and then one third to her friend Tom. Now left with 15. How many did she had originally? Answered by Robert Dawson and Penny Nom. GST and PST 2013-07-22 From Bev: Total sales revenues are 116391.38 this amount includes 5% GST and 80% of this amount includes a 7% provincial tax. The other 20% is PST exempt. GST is included in all. How do I figure the PST I owe? Answered by Penny Nom. What is the value of |2((i)^(1/2))|? 2013-07-22 From Delilah: What is the value of |2((i)^(1/2))| ? i.e. absolute value of 2 multiplied by square root of i. Answered by Penny Nom. What is the smallest number? (i.e. the closest number to zero) 2013-07-22 From Charlie: What is the smallest number? (i.e. the closest number to zero) Answered by Harley Weston. 18/y=30/25 what number does y represent 2013-07-20 From celeste: 18/y=30/25 what number does y represent Answered by Penny Nom. Solve x = ln(x) 2013-07-19 From Udayan: Sir/Madam, How to find the solutions of the equation, x = ln(x) Answered by Penny Nom. Percent and percentage point 2013-07-19 From Kenneth: Hello: Does 0.01 represent both one percentage point and one percent in decimal form? What is, for example, 2/100 of one percentage point, and what is 2/100 of one percent? Are the answers the same. I thank you for your assistance. Answered by Penny Nom. 10 guys playing 8-9 hole rounds 2013-07-19 From Jason: I have 10 guys playing 8 9 hole match-play rounds. I need to have everybody play the other 9 men, but need to limit them to only a 9 hole match between them. If we need to go 3-3-4 or 2-4-4 for a better solution, that may be possible. Answered by Victoria West. A geometric sequence 2013-07-16 From Relebohile: Find the n^th term of 3,6,9,12,24,48... Answered by Penny Nom. 1,990 cubic yards in gallons 2013-07-16 From Tayler: You have 1,990 cubic yards of concrete to pour. If the average swimming pool holds 25,000 gallons, how many pools can Be poured with the 1,990 cubic yards of concrete. 1 cubic yard= 27 cubic feet Answered by Penny Nom. A quadratic with no real roots 2013-07-15 From Pranav: If ax^2+bx-5=0 has no real roots. Then d sign of 1) a+b-5 2) (25a-5b-5)(4a+2b-5) will be what ?? Answered by Penny Nom. 150 litres has been drawn from a tank 2013-07-14 From henry: When 150 litres has been drawn from a tank, it is 3/8 full, how many litres will the tank hold? Answered by Penny Nom. Dirt to fill a pool 2013-07-13 From Neil: I had a 24 foot diameter pool. The perimeter of it was at ground level. The pool sloped 1 foot deeper to the middle. In other words "a 1 ft. dish. How many cubic yards of dirt do I need to fill this hole? Answered by Penny Nom. Simultaneous equations 2013-07-10 From Warren: solve this simultaneous equation: xy=4 2x+3y=14 Answered by Penny Nom. Distance as a function of acceleration 2013-07-10 From Tom: If you start at a stoplight and your acceleration is 16t - t^2, how far have you gone after 8 seconds? Answered by Penny Nom. Scheduling a 12 person fishing 2013-07-09 From Don: Greetings Math Central! I searched the index, but could not find a similar quandary. Here's my predicament: I am seeking help in scheduling a 12 person fishing outing. We have four boats. I would like to schedule three fishermen to a boat. We fish 2 1/2 days, split into morning and afternoon sessions. Thursday afternoon, Friday morning, Friday afternoon, Saturday morning, and Saturday afternoon We switch boats after lunch, with each fisherman moving to a different boat, with different partners. I would like to have each fisherman fish with as many others in the group as possible, with a minimum of partner duplication. I would like to have each fisherman fish in all of the four different boats over the course of the trip at least once. Would you please suggest a boat / fishing partner schedule that fits my parameters as closely as possible. Thank you! Don Answered by Victoria West. Diego and his dog 2013-07-09 From William: john went hunting and walked at a speed of 4 km/h. one hour later, Diego and his dog went to meet john with a speed of 6 km/h and the dog was running between john and diego until they meet up with a speed of 18 km/h. After Diego meets john, how much distance did the dog run? Answered by Penny Nom. Three consecutive odd integers 2013-07-08 From sparsh: Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is: Answered by Robert Dawson. An arithmetic progression 2013-07-06 From ashok: the 4th and 10th term a.p respectively 7 and 19 find its 15th term..... Answered by Penny Nom. 4 couples golfing 2013-07-06 From Brian: We have 4 couples going on a 4 day golf vacation playing 4 rounds of golf. I have spent hours trying to set up a schedule that allows the 4 spouse to play together, and then each spouse to play with one of the other spouses (men with women) for the] other 3 rounds. I would like the foursomes to be different as possible. Also, no-one should RIDE in a cart with the same person more than once. I am not a math guy so I try to do this by working it out on paper, over and over again. It ain't working!! If you can help, I am very thankful. Brian Answered by Victoria West. The angle of elevation of the sun 2013-07-03 From Maurice: A vertical pole with a length of 7m cast a shadow with a length of 5m. Calculate the angle of elevation of the sun and include a diagram. Answered by Penny Nom. 8 golfers playing 8 games 2013-07-03 From Johan: We have 8 golfers playing 8 games, and we want to schedule them so that they play together equal amount of times, or as close as you can get to that. They will be playing in two four balls each day. Anyone sorted this one out yet, I will really appreciate a solution? Thanks Johan Answered by Victoria West. 13 golfers playing 5 rounds 2013-07-03 From Alan: i have 13 golfers playing 5 rounds. want everyone to play together at least once. Answered by Victoria West. 13 golfers 2013-07-02 From James: 13 golfers playing in 4 groups [4,3,3,3 per group] for four rounds. Can it be scheduled so that no two people play together more than twice? Answered by Victoria West. A league schedule for 6 hockey team 2013-07-02 From Giovanni: Hello, I try to make a league schedule for 6 hockey team. Each team will play 36 games during the regular season. I cannot find a proper schedule generator. Can you help me please? Thank you Answered by Victoria West. A one acre plot of land 2013-06-19 From Carol: If I have a one acre plot of land, what is the measurement in feet on each of the four sides? Answered by Penny Nom. Fantasy football league 2013-06-18 From Chris: Hello, I am the commissioner of a fantasy football league. In this week, we play all 17 weeks of the season. It's a 12 team league, and we play each team twice. To do that, we have 5 "double header" weeks, which means you play 2 different teams. I am struggling to come up with a schedule to make this work. Does anyone have a solution? Answered by Victoria West. A 3 acre plot 2013-06-17 From Chad: I have 3 acres 100ft at the top and bottom what is the length of each side to make up the 3 acres Answered by Penny Nom. {(1+x)^1/3-1/3X(1+x)^-2/3}/(1+x)^2/3 2013-06-17 From STEPHEN: {(1+x)^1/3-1/3X(1+x)^-2/3}/(1+x)^2/3 Answered by Penny Nom. a cube-b cube-a+b= ? 2013-06-16 From saryu: a cube-b cube-a+b= ? find the answer Answered by Penny Nom. An isosceles tiangle 2013-06-16 From Izzy: what's the height of an isosceles triangle which has a base of 50 m, and both of the other sides are 25 m? Answered by Penny Nom. 16 golfers in 2 groups of 8 2013-06-15 From Derek: we are 16 golfers.2 groups of 8."A" group & "B" group.We are playing 4 rounds,4 players at a time,2 from each group.We don't want to play with or against the same person twice.IE we want to play with 7 different people each day.Is it possible ?-thanks-Derek Answered by Victoria West. 4=(1+.08)^x 2013-06-15 From Samantha: I can't seem to understand how to solve for x when it is in power form, here is the equation: 4=(1+.08)^x Answered by Penny Nom. Surrounding a pipe with concrete 2013-06-11 From jeanne: I need 2 inches of cement around a 20 inch pipe that is 20 feet long. Thank you. Answered by Penny Nom. The surface area of a pyramid 2013-06-11 From Sam: A right rectangular pyramid has a rectangular base measuring 18 cm by 32 cm. The height of the pyramid is 12 cm. What is the surface area? Answered by Penny Nom. Two numbers whose difference is 16 2013-06-08 From Johan: Two numbers whose difference is 16 and whose sum is 120 Answered by Penny Nom. How much does Sara get to take home 2013-06-05 From Jessica: Sara gets paid$15.00 an hour. She worked 80 hours during the pay period. If 28% of what she earned is deducted for taxes, how much does Sara get to take home?
Percent change in sales 2013-06-04
From Sui:
Hi,

I would like to ask your favor for reviewing the following percent change in sales calculation, did I do it right? I am surprise/wondering with the big amount of the percentage result. Your assistance and guidance would be highly appreciate.

Sales for month of August 2000: 5,198,750 IDR Sales for month of October 2000: 62,291,700 IDR Difference = 62,291,700 IDR - 5,198,750 IDR = 57,092,950 IDR Percentage change = 57,092,950 IDR : 5,198,750 IDR = 10.98 X 100 = 1,098%

Sales for month of February 2008: 1,664,800 IDR Sales for month of August 2008: 161,715,307 IDR Difference = 161,715,307 IDR - 1,664,800 IDR = 160,050,507 IDR Percentage change = 160,050,507 : 1,664,800 = 96.14 X 100 = 9,614%

Thanking you,
Sui

A kennel for a beagle 2013-06-03
From david:
Hi, I'm building some beagle kennels and I am in need of help with an angle problem. I need to place a roof on my kennel with a drop of 2inches across 3ft 10inches. ﻿the posts on ﻿the right side will be 5ft and ﻿the post on ﻿the left will be 4ft 10in. ﻿the posts are 4x4 and ﻿the space to be covered is 3ft 10in from ﻿the outside of ﻿the 4x4. Please help, thanks.
A pump is operating at 70% 2013-06-03
From Abdel:
Hi I was wondering if you could help me out on a question I recently got on an aptitude test.

A pump operates at 70% if it is pumping out 4500 gallons then how much will it pump out at 85%?

Four circles 2013-05-29
From varsha:
four circular cardboard pieces each of radius 7cm are placed in such a way that each piece touches two other pieces. find the area enclosed by the four pieces.
21 golfers 2013-05-27
From Linda:
A database search for a question on how to schedule 20 golfers in groups of 4 was very helpful ( Mona's answer referred to by C. Fisher 9-3-2008) I'm very glad I found this sight. Our problem is we will have 21 golfers in the second half of the season. Is it possible to figure out that schedule? I assume we will have to include byes, but I'm not sure how to go about doing that. Thank you.
Simson line 2013-05-23
From Nazrul:
From any point p lying on the circumcircle of the triangle perpendiculars PD , PE are drawn on BC,CA respectively. The line segment ED intersects at the point 0 ; prove that PO ⊥ AB ( PO is perpendicular to AB ).
Two overlapping circles 2013-05-22
From Alexandra:
There are two overlapping circles. The two non-overlapping regions have areas A and B. As the area of overlap changes, the values of A and B also change. Prove that no matter how big and small the overlap is, the difference between A and B is always the same.
How many acres does a 4.5 mi strip 52 inches wide make? 2013-05-21
From Aaron:
How many acres does a 4.5 mi strip 52 inches wide make?
The dimensions of my property 2013-05-21
From Mr.:
My property is 196 feet wide an I own 2 1/2 acres how many feet in depth is it
How many acres are in 212 ft 1 mile long? 2013-05-20
From Connie:
How many acres are in 212 ft 1 mile long?
GCD 2013-05-20
From Julia:
Prove that if a and b are coprime integers, the greatest common divisor of a + b and a - b is either 1 or 2.
Inverse trig functions 2013-05-19
From ky:
hello, so iv'e been asked to draw a triangle with sides of 3, 4, and 5. And find the measure of all three angle using sin-1, cos-1, tan-1. I got really confuse, I'm taking the SAT pretty soon and it would be great to get this... THANX
The square footage of a 17 inch by 17 inch tile 2013-05-18
From Leroy:
How do I calculate the square footage of a 17inch by 17 inch tile
(4- 4cos^4 x)/(sin^2 x) 2013-05-18
From Agnes:
How I can solve this question :

Simplify (4- 4cos^4 x)/(sin^2 x) and write in terms of sin x

r=10cos(t) in cylindrical coordinates 2013-05-18
From r.m:
question from calculus exam: what is the figure obtained having eqn.r=10cos(t) in cylinderical coordinates? i know it is a cylinder with center (5,0) ,but can't the equation represent two cylinders ,one with center (5,0) and the other with center (-5,0). thanks for any help.
Inverting fractions and percentage 2013-05-18
From Carlos:
If I calculate the percentage change between two fractions, say, 1/100 and 2/100, I get 100% change. Now, if I flip denominator and numerator, 100/1 and 100/2, and repeat the calculation, I get a 50% change. Why are the percentages different?
Thank you very much

The percentage of fat in a container of yogurt 2013-05-17
From Katy:
There is a question that I' having trouble with. It says: "A container of yogurt contains 228 g of water, 54 g of carbohydrates, 12 g of protein and 6 g of fat, what percentage of the yogurt is fat?" How do you convert 6 g into percentage?
Cutting three sections of pipe 2013-05-16
From Michael:
A plumber cuts three sections of pipe from a 12’ length of ABS pipe, the lengths of the sections are 33 3/8”, 56 5/8” and 39 7/8”. What is left over from the full length, if the saw cut is 1/8” wide?
8 3/4 as a decimal 2013-05-15
From Luisa:
How to make 8 3/4 into a decimal
HCF and LCM 2013-05-15
From Kelly:
If HCF and LCM of two numbers is 7 and 20 respectively, then the number/s is/are….
Four digit combinations starting with 7 6 2013-05-15
From Kaye:
How do I find the rest of a four digit combination starting with 7 6?
A circle and a chord 2013-05-14
From yashvardhan:
A circle which radius 13cm. Find the length of the chord which is 5 cm away from center
An equation in two variables 2013-05-14
From Steve:
Verify solutions to an equation in two variables. 4x-2y=8 (3, 2)
Dice 2013-05-14
From Julia:
What is the probability of rolling(as many times as necessary) a die and getting a total number(sum) when all the rolls are added together of 11?
A 2-digit number 2013-05-13
From A teacher:
Find a “2-digit number” where the sum of the 1st digit (on the Left) and the square of the 2nd digit equal the same number.
Answered by Lorraine Dame, Harley Weston.
Compound interest 2013-05-10
From Kyla:
I am doing correspondents and cannot figure out how to explain the solution to this question, I do not understand how they came to this answer and need it explained step by step so I can complete the following questions in this unit, please help!!! Calculating compound Interest

Johnny invest $800 that pays 8% compounded quarterly for 5 years. How much is the investment worth at the end of the 5th year? Answered by Penny Nom. Water use in a rectangular flush tank 2013-05-10 From milo: A rectangular flush tank 22" by 71/4 contains water to depth of 17" how many gallons of water will be saved if a conservation device reduces the capacity to 3/5 of this amount? And reduced to the nearest tenth Answered by Penny Nom. 20 golfers over 5 days 2013-05-09 From Russ: we have 20 golfers over 5 days, with 4 people per foursome which makes 5 groups each day. I would like to each person to play with everyone at least once if possible. Do you have a formula for this? Answered by Victoria West. siin (A) and sin (A/2) 2013-05-09 From shanaia: given that sin A=4/5 and A is obtuse.find sin (A/2) Answered by Penny Nom. A triangle and an incircle 2013-05-09 From Max: On my Geometry Test about tangent, chord, and secant lengths, my teacher gave an extremely difficult problem. It was a Circle inscribed in a Triangle with all triangle sides being tangents and lengths were given. My class was told to find the length of each segment of the line. The points on each line were the vertexes of the triangle, and the point where the line hits the circle. Please explain how someone could do this. Answered by Chris Fisher. The surface of a solid 2013-05-07 From mustafa: I am doing a research paper on solid surface applications . Part of the project is to find four at least in our world today and explain what there purpose is. I really need help in this area because I've been searching the internet for where solid surface are used in our world today and I really can't find anything.. Thanking you in advance, mustafa Answered by Penny Nom. Drawing a pentagon 2013-05-06 From jacob: hello. i am trying to draw a template for a project. but i don't have a protractor. i'm trying to draw a normal pentagon with 2cm sides. what i'm trying to figure out is the distance in centimeters from point a, to c, in a straight line. this is needed so that i can measure and create the shape without a protractor, and keep the angles and sides correct. if you can help me with the measurement, or help me another way, any help would be greatly appreciated. thank you. Answered by Penny Nom. Profit margin 2013-05-06 From Arron: I have the retail price of$45.50. This price reflects a gross profit margin of 47%. How do I calculate the original cost of the item?
A silver figurine 2013-05-03
From Renee:
I have a silver figurine, the density of silver is 10.5g/cm3. if the figurine weighed 149 g. to determine the volume, he dropped it into a cylindrical glas of water. the diameter of the glass is 6 cm and the figurine was pure silver, by how much should the water level in the glass rise?
A word problem 2013-05-03
From Shaneaya:
Keikio spent the day bird watching and counted 34 more birds in the morning than in the afternoon. If she counted a total of 76 birds, how many birds did she count in the afternoon?
How can we draw the equation "x+y=1" in 3d? 2013-05-03
From shimaa:
how can we draw the equation "x+y=1" in 3d
Points of intersection 2013-05-02
From Bianca:
Find the sets of values of k for which the line y=kx-4 intersects the curve y=x^2-2x at two distinct points.
Find the height of the tower 2013-04-28
From nombulelo:
the shadow of a tower,when the angle of elevation of the sun is 30 degrees is found to be 40 meters longer than when it is 45 degrees. Find the height of the tower
The rings of a bull's eye 2013-04-28
From Math:
The bull’s eye of a target is a circle 20 cm in diameter. It is surrounded by four rings, each 15 cm wide. Find the area of each ring.
What is the original price? 2013-04-25
From Dylan:
shirts on sale for 25% off, the sale price is 12.75. What is the original price?
How do i reverse this formula? 2013-04-20
From MK:
I have 22,000,000 worth of gold and wants to want to resell the gold back with a profit. Each transaction of gold will have a transaction fee of 15%, so if i resell the gold back at 22,000,000, I will only get back 18,700,000 after 15% transaction cut. The current formula is X-15%X = Y where X = 22,000,000 and Y = 18,700,000 Will u be able to come up with a new formula if we don't know the value of X but we know the value of Y
Something like this X-15%X = 22,000,000. How do i reverse this formula to find the value of X
Thanks

650*(1+0.005)^96 2013-04-17
From joAnn:
i am trying to figure out how to solve a question like this for example:

650(1+.005)96

I have been doing it this way but takes forever and wanted to know a shorter way

650 x 1.005 x 1.005 x 1.005 x 1.005 96 times

HELP

A circle, a chord and an arc 2013-04-16
From Tim:
Morning,
I was told the chord is 3000mm and the depth of chord is 300mm, I can find the radius,(1500 squared + 300 Squared) Divided by (300 + 300) but don't know how to calculate the length of the circle defined by the chord. Regards
Tim

A cyclic rhombus 2013-04-16
From Marisa:
I know that the only rhombus that can be inscribed in a circle is a square, but why is that? I've been racking my brain and the internet for solutions, but have found no logical explainations in relation to the arc degrees and angles. Please help.
8 golfers, 3 rounds 2013-04-15
From justin:
I have 8 golfers going on a trip. We have 3 rounds to play. We would like to play with everyone (with or against.) Is this possible? If so could you send me the formula please and thank you!
A cone problem 2013-04-14
From Courtney:
Hello,
I am having difficulty solving this cone problem. The biggest challenge I have is figuring out what angle they are talking about:
The angle at the base of a cone is 34.5 degrees. Find the diameter of the cone at point on the edge of the cone 26cm from the tip.

How do i write log_8(P) =7 in exponential form? 2013-04-14
From nancy:
How do i write this in exponential form log8P =7
4 linear equations with 3 unknowns 2013-04-12
From Marian:
how to solve for 3 unknowns in 4 simultaneous equations
Bags of pre-mixed concrete 2013-04-12
From Bruce:
Hello there,

I need two cubic yards of concrete for a playgound I am installing for my kids. That much i have figured out. I am stumped over the number of 25kg bags of pre-mixed concrete i will need to accomplish my goal.
Your help would be greatly appreciated.
Thanks
Bruce

The area of a right triangle 2013-04-10
From derek:
The legs of a right triangle measure 4 and 6 inches. The area of the triangle is
Sharing in a car rental 2013-04-09
From Marilyn:
8 persons are planning to share equally the cost of a rental car. If 1 person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons is increased by--------------?
10 golfers playing four rounds 2013-04-09
From Terry:
I've searched "golf" and "golf 10" but don't see 10 golfers playing four rounds (each round having one foursome plus two threesomes, and no "flights" as in one earlier answer); each player playing at least once with a maximum number of the other nine over the four rounds?
The equation of a line 2013-04-04
From Miranda:
My coordinates provided are (6, 6) and (-8, 9) and i need to put this into ax=bx=c format. I remember the equation to find the slope of y2-y1/x2-x1 to get the slope. However when i put that back into the y=mx+b format it still leaves me with a lot of variables. Please help :)
A gravel pile in the shape of a triangular pyramid 2013-04-04
From Casey:
Hello
Right now I am stuck and I feel embarrassed because I feel like the answer is so easy I should know it.

I am working on a project and need to find a volume of gravel it will take to occupy this triangular prism like area. I am not sure what formulas I should use whether it be that for the volume of a pyramid or something more complex? Basically it forms a right triangle at one side then from there all points slope to one singular point about 10412mm away.
I am attaching a picture drawn up in paint with the actual dimensions to clear up any confusion.

Thank you for any help. Casey

Question 2013-04-04
From Casey:
Hello
Right now I am stuck and I feel embarrassed because I feel like the answer is so easy I should know it.

I am working on a project and need to find a volume of gravel it will take to occupy this triangular prism like area. I am not sure what formulas I should use whether it be that for the volume of a pyramid or something more complex? Basically it forms a right triangle at one side then from there all points slope to one singular point about 10412mm away.
I am attaching a picture drawn up in paint with the actual dimensions to clear up any confusion.

Thank you for any help. Casey

16 golfers over 15 days 2013-04-02
From Mark:
16 golfers, each plays the other 15 golfers once each over 15 days. played in four foursomes each day. What is schedule that allows each golfer to play with other golfers an equal number of times?
Every vertex of a cube is assigned a number +1 or -1 2013-04-01
From Shankar:
Every vertex of a cube is assigned a number +1 or -1 . Every face has a number that is the product of all the numbers in its corners. Then the 14 numbers are summed up ( all the vertices and faces ). Can the sum be 0?
The distance between 2 lines in 4D 2013-04-01
From samane:
how can i measure the distance between 2 lines in 4D??
We can't write sinx and cosx as a finite polynomial. 2013-03-31
From rimoshika:
prove that we can't write sinx and cosx as a finite polynomial.
Simultaneous equations with fractions 2013-03-31
From Terence:
5/x-6/y=1 17/x+30/y=16 I been spending whole day to solve this question. Would be very grateful if you can help I try The denominator value is a equations term which make is simultaneous equations so hard.
The area of an isosceles right triangle 2013-03-30
From Michelle:
We have a triangle it is a right isosceles. The sides touching the right angle are 10 cm. They hypotenuse is 14.1 (the base) we are trying to find the height of this so we can figure out the area of a shaded sector of a circle.
25% 2013-03-28
From aaliyah:
what is the raw data of 25%
A shortest distance problem 2013-03-28
From LYNDELL:
I have a right triangle and know the length of all sides. How do I calculate the shortest distance from the vertex of the 90 degree angle to the hypotenuse?
A 4 digit code 2013-03-26
From chris:
I saw a previous question about a 4 digit code type thing and I was wondering if you could email me that same type of thing. I changed the pin number on my phone's lock screen and I tried hard to remember it, then I had to go help my mom with something and I automatically forgot it and there is no way for me to get back on my phone. I need all of the possible 4 digit number combinations without the numbers 0, 1, or 2. It cannot be repeating, ascending, or descending.
I know you may not want to do all of them, but I really need it.

Restricted partitions 2013-03-25
From vidya:
I am having a series of numbers eg.( 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15) I can take any 5 digits eg(15,10,8,6,5) and it should not repeat and the summation should be any predefined static value . eg(44) That is (15+10+8+6+5=44) . How many summation series will result 44 ? My problem is how to find this using a formula or any other simpler automation method is there instead of checking one by one all the combinations. Plz do help me... Thnks in advance
Tangents to the curve y = x^3 2013-03-24
From Ethan:
How many tangent lines to the curve y = x^33 pass through the point (2, 4)? For each such line, and the exact coordinates of the point of tangency on the curve.
A markup followed by a discount 2013-03-23
From edward:
A shopkeeper marks his goods to gain 35%. He allows 10% discount for cash payment. What is his profit percent when he sells the goods for cash?
Trigonometry 2013-03-23
From Tizoc:
I am in a trig class and I have a conflict. When solving the length of a side, I know what trig function to use, but I do not know what angle to use in a calculator. To make this a little more understandable, if I have all the angles available in a right triangle and I use the tangent function, how do I know what to use?
Heres what I do not know what to put in my calculator: Tan(?)

Cumulative Frequency Math Question 2013-03-20

Hi,

Thank you so much.

The cumulative frequency table below shows the length of time that 30 students spent text messaging on a weekend.

Minutes Used Cumulative Frequency
31-40 2
31-50 5
31-60 10
31-70 19
31-80 30

Which 10-minute interval contains the first quartile?

(1) 31–40

(2) 41–50

(3) 51–60

(4) 61–70

Five players in a 4-player partnership game 2013-03-19
From Dee:
I have 5 players who are playing in a 4-player partnership game & want to rotate the 5th person in in such a way that each person is each other person's partner for a game. How can such a rotation be done?
The dimensions of a rectangle 2013-03-19
From stephanie:
the length of a rectangle is 5m more than twice its width, and the area of the rectangle is 88m^2 find the demensions of the rectangle
From Judy:
Hello:
Can you please explain why the answer to the following question is 10^6? What is the number of possible six-digit passwords when using the digits 0 through 9, with repetition allowed.
Thank you.

Tiling a floor 2013-03-18
From whitley:
Question from Whitley, a student:

How many square feet of tile do you need to cover the floor of a room that is 20ft, 25ft, 15ft, 20ft, 5ft, and 5ft

I made a replica of the floor

An algebraic exercise 2013-03-18
From autumn:
given: f(x)=x/(x^2+2) determine: [f(x-h)-f(x)]/h
If 4 cooks can bake 8 pies in 6 hours????? 2013-03-18
From Kenneth:
Hello:

I want to determine which quantities are directly and inversely proportional in order to determine the answer for the following:.

If 4 cooks can bake 8 pies in 6 hours, 2 cooks can bake how many pies in 4 hours?

Can someone fully explain what I need to know in order to determine what is directly and inversely proportional in the example above?

Row echelon form 2013-03-15
From Shawn:

1 9 8 0
5 8 1 35
1 -4 -1 17

Driving a rental car 2013-03-13
From teresa:
Driving a rental car x miles cost y= 0.25x + 25 dollars.

(a) How much would it cost to rent the car but not drive it?
(b) How much does it cost to drive the car 1 additional mile?
(c) What is the y-intercept of y= 0.25x + 25? What does it represent?
(d) What is the slope of y= 0.25x + 25? What does it represent?

Percent profit: State exam question 2013-03-12
From tony:
which is the correct way to figure 30% profit?
1)
1000 product
500 labor
50 permit
1550 total cost
1550x1.3=2015

2)
1000 product
500 labor
50 permit
1550 total cost
1-.3=.7
1550/.7=2214

state exam question 2013-03-12
From tony:
which is the correct way to figure 30% profit?
1)
1000 product
500 labor
50 permit
1550 total cost
1550x1.3=2015

2)
1000 product
500 labor
50 permit
1550 total cost
1-.3=.7
1550/.7=2214

A 3 digit number puzzle 2013-03-11
From Bonnie:
My number has 3 digits. My number is not a multiple of 100. My number is a multiple of 50. My number is a factor of 1000. What is my number?
A chart for y=mx+b 2013-03-11
From jacinda:
how to make a chart for y=mx+b
Fencing a parcel of land 2013-03-11
From Koleen:
How much fencing do I need for an 56,850 parcel of land for a 15 stable horse barn
The dimensions of a rectangle are in the ratio 5:3 2013-03-08
From SM:
4. The dimensions of a rectangle are in the ratio 5:3. If the longer side is 18 cm,

a) What is the length of the shorter side?

b) What is the area of the rectangle?

Increasing and decreasing sales 2013-03-06
From Meghan:
Pace Design's sales increased by 30% in the first year, increased by 60% in the second year, decreased by 60% in the third year and increased by 90% in the fourth year. What was the cumulative change in sales over the 4 years?
6 miles in 28 minutes what's my average speed? 2013-03-05
From lynda:
6 miles in 28 minutes what's my average speed?
f(x) + f ''''(x)=0 2013-03-05
From Andreea:
Hei. I don’t speak lot of english but here is my question,hope u understand: f(x) + f (x)=0. so, my question. what is f(x), where f (x) is f(x) derivative by four time ? i tried to find the answer and i knew f(x) is something like that f(x)=e^x*sinx but miss something.
What is the subtotal & GST? 2013-03-04
From REBECCA:
Hi, I have a total of $300. What is the subtotal & GST? How do I work backwards? Answered by Penny Nom. Markup and discount to get a sale price 2013-03-02 From Warren: If you are an ardent shopper you will be aware of the discount (% decrease) marketing strategy to produce the sale price. I began to wonder just how much mark-up (% increase) was added initially to an item in order to deliver the discounted sale price. It was simple to construct a formula to convert one to the other. For example a 30% (mark down) decrease in price required a 42.86% (mark up) to increase the price initially to Tag price. However when I started apply the formulae to a number of circumstances I noticed some very interesting circumstances associated with this relationship For example a 99.999999% decrease is numerically equal to a 9,999,999,925% increase (huge ratio difference) while conversely a 0.1% decrease is numerically equal to a 0.10010010% increase (Infinitesimally small ratio difference) so the patterns appears logarithmic not linear. However what really caught my attention was this pattern My questions is why does the decline in the ratio of increases in required mark up (%) price peak at 50 and 51% precisely and then expand again as the percentage move higher Any explanation would be appreciated Answered by Harley Weston. A linear programming problem 2013-02-27 From Kelley: A manufacturer of skis produces two types: downhill and cross-country. Use the following table to determine how many of each kind of ski should be produced to achieve a maximum profit. What is the maximum profit? What would the maximum profit be if the time available for manufacturing is increased to 48 hours. Downhill Cross-country time available manufacturing time per ski 2 hrs 1 hr 40 hr finishing time per ski 1 hr 1 hr 32 hr profit per ski$70 $50 Answered by Penny Nom. Four digit "combinations" using 0124 2013-02-27 From Ayana: What are all the possible four digit combinations using 0124. Please list them for me. Thank you. Answered by Penny Nom. 100 animals 2013-02-25 From Jessica: You have exactly$100.00 to spend. You must get 100 animals.
The chicks cost $0.10 each. The pigs cost$2.00 each.
The sheep cost $5.00 each. You must get some of each animal. How many of each animal can you get? Answered by Penny Nom. An error in finding the mean 2013-02-25 From Abhishek: Mean of 50 observations was found to be 80.4 but later all it was discovered 96 was mistake at 69 Find the correct mean? Answered by Penny Nom. A messy arithmetic expression 2013-02-24 From niiaryee: (((((5^2*4^3)1/5+9^3/3)+(25+(4*5)/15)^2-10)/10/2)3))))) Answered by Penny Nom. An equation with exponents 2013-02-24 From Chelsea: (81 to the power of 3n+2 over 243 to the power of -n) is equal to 3 to the power of 4 Find the value of n. The answer I got was n is equal to negative (4 over 7). The answer in my text was n is equal to negative (4 over 17) Answered by Penny. The tangent to a circle at a point on the circle 2013-02-22 From Andrew: What is the equation of the line tangent to the circle with equation x^2+y^2=25 at the point (-4,3) Answered by Penny Nom. Fractions over fractions 2013-02-22 From Kenssa: Question from Kenssa, a parent: Simplify: 3-(7/x)-(6/x^2) / (3/x^2)+(5/x)-2 Answered by Harley Weston. Your profit should be 20% of your cost 2013-02-21 From anis: if the customer says your profit should be 20% of your cost.. 1) my selling value should be cost +20% of cost = SP or 2)cost / 0.80 = SP which is correct...if the second answer is right how should i justify my customer Answered by Penny Nom. Solve sin 3x = -0.1254 with x between o and 360 degrees 2013-02-21 From David: sin 3x = -0.1254 0 Answered by Harley Weston. Solve sin 3x = -0.1254 with 0 2013-02-21 From David: sin 3x = -0.1254 0 Answered by Harley Weston. Write a rule for the sequence 2013-02-20 From Angelia: Write a rule for the sequence. Then, find the unknown term. 1 3/8, 1 ¾, 2 1/8, _______, 2 7/8 Think: The pattern is increasing. Add 1/6 to find the next term. Rule: _______________ Answered by Penny Nom. How can I teach how to change bases? 2013-02-20 From Tammy: How can I teach how to change bases? For example 80 base 10 changed to base 3. Thank you! Answered by Harley Weston. Solve 8 logx > x 2013-02-19 From Fulvio: Hi, could you solve this equation in algebraic form: 8logx>x Answered by Harley Weston. A trig word problem 2013-02-18 From Amy: Susan notices an unusual rock formation at an angle of 30 degrees to the right of her direction of travel as she is white water rafting. as she continues in a relatively straight path for 20 m, the rock formation appears to be at 45 degrees to the right. she cotninues until the rock formation is directly to her right. how far is she fromt he rock formation? Answered by Penny Nom. Extraneous solutions 2013-02-18 From Eileen: (5x+4)^1/2-3x=0 Answered by Penny Nom. Related rates 2013-02-17 From Ishaak: A hemispherical bowl is filled with water at a uniform rate. When the height of water is h cm the volume is π(rh^2-1/3 h^3 )cm^3, where r s the radius. Find the rate at which the water level is rising when it is half way to the top, given that r = 6 and the bowl fills in 1 minute. Answered by Penny Nom. The continuity of f(x,y)=ln(x^2+y^2) 2013-02-17 From anu: the question says we have to find the points in the plane where the function is continuous: f(x,y)=ln(x^2+y^2) . here we aren't given a particular point (x,y) where we have to check a function's continuity. what is to be done if we have to check continuity over the whole domain of the function? please help . Answered by Harley Weston. Swimming upstream and downstream 2013-02-15 From Kimberly: a beaver swims down to its lodge 4 times faster than it swims upstream. how many times faster is its speed in still water than the speed of the stream? Answered by Penny Nom. Chocolate bars and puzzles 2013-02-15 From sandy: Alan bought a box of puzzle and two bar of chocolate for$28.
Jan bought 3 boxes of puzzle and a bar of chocolate similar to Alan for $69. a) Find the cost of a box of puzzle b) Find the cost of a bar of chocolate Answered by Penny Nom. An electron in a TV tube 2013-02-15 From anu: an electron in a TV tube is beamed horizontally at a speed of (50^6) m/sec. towards the face of a tube 40 cm away about how far will the electron drop before it hits? no information has been provided of initial height from where it is beamed. Answered by Robert Dawson. A word problem involving toys 2013-02-14 From sandy: Each boy gets 5 toys.Each girl gets 3 toys.There are 150 pupils. The boys had 74 more toys than girls. How many boys? How many girls? Answered by Penny Nom. A curve in 3-space 2013-02-14 From pardeep: we have to show that the curve r(t)=(cos t)i+(sin t)j+(1-cos t)k ,0<=t<=2pie; is an ellipse by showing it to an intersection of a right circular cylinder and a plane. i got the eqn. of the cylinder but did not get the eqn of plane. Answered by Harley Weston. Dropping supplies from an airplane 2013-02-14 From Claire: An airplane flying at an altitude of 3500 feet is dropping supplies to researchers on an island. The path of the plane is parallel to the ground at the time the supplies are released and the plane is traveling at a speed of 300 mph. a) write the parametric equations that represent the path of the supplies c)How long will it take for the supplies to reach the ground? d) how far will the supplies travel horizontally before they land? Answered by Penny Nom. Is a line lying in a plane an open or a closed region? 2013-02-13 From pardeep: please help with this question on the open and closed intervals :: Is a line lying in a plane an open or a closed region? my teacher says it is a closed region reasoning out that it contains all it boundary points. please help how is it so? Answered by Harley Weston. The height of an aerial 2013-02-12 From ASIT: A vertical aerial stands on a horizontal ground. A surveyor positioned due east of the aerial measures the elevation of the Top as 48 degree. He moves due south 30metre and measure the elevation as 44 degree. determine the height of the aerial Answered by Penny Nom. A cubical shipping container 2013-02-12 From Chantel: The length, width and height of a cubical shipping container are all decreased by 1.0 ft, thereby decreasing the volume of the cube by 37 ft3(feet-cubed) What was the volume of the original container? (recall: volume of cube with a side length x=x3) Define the variable, write a quadratic equation and solve by factoring. Answered by Penny Nom. The equation of a circle 2013-02-11 From mhd: Complete the equation of the circle centered at(0,4) with radius 3 Answered by Penny Nom. Simultaneous equations 2013-02-10 From Michael: 2P + 1/3V =8 3P - 2/V=5 Answered by Penny Nom. The height of a sheet metal cone 2013-02-09 From Charles: Sheet metal cone. I need a cone with a finished base of 38.19719 diameter The cone is to be from a 48 diameter round with the wedge cut out. The best calculation I have is the arc is 286.479. (correct?) Could you verify this arc angle but more so what is the cone height? Answered by Harley Weston. 4*4+4*4+4-4*4=??? 2013-02-06 From Jacky: 4*4+4*4+4-4*4=??? Answered by Penny Nom. Quebec taxes 2013-02-06 From Cheryl: can you please tell me the equation to calculate the Quebec taxes (5% & 9.975%) individually from the total? thank you Answered by Penny Nom. Brian is x years old 2013-02-06 From Sabrina: Brian is x years old. Peter is 4 years older than Brian. Amy is 2 years younger than Brian. The total of their ages is 26 years. Work out the value of x. Answered by Penny Nom. What is the domain of f(x)=sin(ln(x))/ln(x)? 2013-02-06 From Behrooz: Hi, the following problem may be interesting: What is the domain of f(x)=sin(ln(x))/ln(x)? Be careful, domain is not obvious. Best regards Behrooz Answered by Penny Nom. A journey of two parts 2013-02-06 From Natalie: Mr Lim drove at 70 km per hour for 1 hour and 30 minutes. He then drove another 55 km. if his average speed for the whole journey was 80km per hour, what was his speed for the 55 km journey? Answered by Penny Nom. An arithmetic progression 2013-02-06 From loberto: the 3rd term of an a.p is 10more than the 1st term,while the 5th term is 15more than the 2nd term,find the sum of the 8th and 15th terms of the a.p if the 7th term is 7times the 1st term Answered by Penny Nom. Exponential form 2013-02-05 From Sandra: What is 37,008 in exponential form? Help me please!!! Answered by Penny Nom. We have 10 golfers and four rounds of golf in two days 2013-02-05 From Steve: We are having a golf tournament. We have 10 golfers and four rounds of golf in two days. We are going to break the group of 10 into two flights. Flight A and Flight B. We would like all members in Flight A to play one nine hole match against each other. All players in Flight B to play one nine hole match against each other. Could we play in groups of 4,3 and 3? What is the best way to make the pairings work? Answered by Robert Dawson. Integration from 0 to 2pi of 1/(3cos x + 2) dx 2013-02-04 From ankit: Integration from 0 to 2pi of 1/(3cos x + 2) dx Answered by Harley Weston. A relation on a collection of sets 2013-02-04 From raji: suppose R be a non empty relation on a collection of sets defined by ARB if and only if A intersection B is nullset.then.....the correct answer is R is symmetric and not transitive...my doubt is how it is symmetric Answered by Penny Nom. 7x-1/4-1/3[2x -1-x/2]=19/3 2013-02-03 From M: 7x-1/4-1/3[2x -1-x/2]=19/3 Answered by Penny Nom. Multiplication in base two 2013-02-01 From Michael: multiply in the indicated base 110two*11two Answered by Penny Nom. The fourth side of an irregular polygon 2013-02-01 From Emran: I have a irregular polygon. I know 3 of the 4 sides, and 2 of the angles. A-B is 285, B-C is 149, and C-D is 310. Angle B is 135 degrees. and Angle C is 45 degrees. Is there a formula to solve for the final side? Thanks. Answered by Penny Nom. The multiplication table for the different bases 2013-02-01 From sylvia: I am having a difficult time trying to figure out how to fill in the multiplication table for the different bases. i don't know how to get the numbers. Answered by Penny Nom. A boy walks 3km due east and 4km due north 2013-02-01 From Kayode: Question from Kayode A boy walks 3km due east and 4km due north. Find the bearing of the final point and the distance of the final position from the starting point. Answered by Harley Weston. The area of a rectangle 2013-01-29 From Bali: if the length of the rectangular field is decreased by 5m, its area is decreased by 70 sqm. if the width is increased by 6m, the area is increased by 180 sqm. determine the length and width of the rectangular field? Answered by Penny Nom. How many edges does cone have? 2013-01-28 From Meriem: how many edges does cone have pls? Answered by Lorraine Dame, Chris Fisher and Walter Whiteley. w varies jointly with the square of u and the cube of d 2013-01-26 From Desiree: i don't understand how to answer this 'w varies jointly with the square of u and the cube of d' Answered by Penny Nom. We have 2 teams of 6 couples each that play 6 games 2013-01-25 From Denise: We put together a game night where we have 2 teams of 6 couples each that play 6 games. We haven't been able to figure out an arrangement that allows each couple to play each game with a different couple from the opposite team (i.e. Team A couples play every game with a different couple from Team B). Is this possible? It works with 2 teams of 5 couples each. Answered by Chris Fisher. Use 9,10,6,8, and 4 to make 10 2013-01-25 From Able: How do you calculate using BEDMAS 9,10,6,8,4 to equal 10 Answered by Penny Nom. Factor x^6 - 64 2013-01-25 From Taylor: Hi, I am having trouble factoring x^6-64. Could you help me? Answered by Penny Nom. A geometry word problem 2013-01-24 From Matthew: "G", "A" and "B" are collinear. "A" is between "G" and "B". "GA" Is 14 less than 3 times "AB". "GB"=46 Find "GA" How would you solve this? Answered by Penny Nom. Golf for 17 2013-01-23 From Richard: I have looked through the examples on your site but can't find one that suits. I am fiddling with one to see if I can get a result; but not confident. I have 17 players playing 6 rounds in 3 groups of 4 and 1 group of 5. Two players will not be included in any 5 ball group. Can you help me please. Answered by Victoria West. The zeros of a fourth degree polynomial 2013-01-23 From Dakota: My problem has multiple steps and I have done everything but the last one. 8The original problem is f(x)=x^4-5x^3+7x^2+3x-10 and I have to find the zeros of the equation. I used synthetic substitution like my teacher taught us to get the equation of x^3-3x^2+x+5=0 but now I don't know how to get the zeros of that equation, or solve it. Answered by Penny Nom. Golf for 18 for 18 weeks 2013-01-22 From Al: We have 18 two man golf teams and we play once a week for 18 weeks. We need a formula to schedule these teams so that they play each other one time only. Answered by Victoria West. A railroad embankment 2013-01-22 From clint: 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. Plotting y=f(x)+2 2013-01-21 From Gavin: how would you plot y=f(x)+2 Answered by Penny Nom. How many students have neither brown hair or hazel eyes? 2013-01-20 From Julie: There are 28 students in a class. 15 have brown hair, 17 have hazel eyes, and 10 have both. How many students have neither brown hair or hazel eyes? Answered by Penny Nom. Solve 2sin(2(theta))+sqrt(3)=0 2013-01-19 From Kaitlyn: how do you solve 2sin(2(theta))+sqrt(3)=0 with the interval [0,2pi) Answered by Penny Nom. Maximize profit 2013-01-19 From Chris: A firm has the following total revenue and total cost function. TR=100x-2x^2 TC=1/3x^3-5x^2+30x Where x=output Find the output level to minimize profit and the level of profit achieved at this output. Answered by Penny Nom. 5 1/2 cubic feet of sawdust 2013-01-19 From Vina: I have a bale of sawdust that containes 5 1/2 cubic feet. How many will I need to make a cubic yard? Answered by Penny Nom. An equilateral triangle inscribed in a circle 2013-01-17 From Nicole: How do you find the shaded region of a circle if an unshaded equilateral triangle in inscribed in it. The only other things I know about the problem are that the side lengths of the equilateral triangle are 14 inches. Answered by Penny Nom. The weight of a pipe full of water 2013-01-16 From joe: how do you figure out the weight of a pipe full of water Answered by Harley Weston. A balance puzzle 2013-01-14 From Emily: I'm stuck on this problem and feel that it can't work! The problem is: there is a door with a balance scale on it. In order to open the door, you have to use the 5 weights to balance the scale. On the left side you have 2 boxes to place the weights and on the right side you have 3. You're 5 weights are as follows: 1lbs, 2lbs, 3lbs, 4lbs, 5lbs. How do you place the weights so that the scale is balanced? Answered by Penny Nom. Percent as a fractional relationship 2013-01-14 From Kenneth: What does the following indicate? "A percent is another way of expressing the ratio or fractional relationship of two numbers." I know what a ratio is, but the term "fractional relationship" confuses me. I thank you for your reply. Answered by Penny Nom. A shed roof 2013-01-12 From christine: A roof on a shed is 7.3 ft wide has an incline of 20 degrees what is the height? Answered by Penny Nom. A large ditch 2013-01-11 From steve: hi i have a large ditch to make a road entrance accross, the ditch is a green field on one side and a highway on the other side the ditch depth is 1.8m on the field side and 3.2 on the highway side the culvert pipe is 1,2m in diameter are you with me so far? the entrance from the highway will be 26m wide tapering in to 6m - ,20 m in from the highway there will be a concrete slab of 150mm over the top the fall from highway to field must not exceed 1/8 any ideas how much stone it will need Answered by Harley Weston. How fast are we approaching each other? 2013-01-11 From Heather: If I am skating at 7 mph, and a car drives towards me at 15 mph, how fast are we approaching each other? Answered by Penny Nom. The side lengths of a triangle 2013-01-07 From Katie: How do I find the side lengths of a triangle knowing the base and its height? Thank you, Answered by Penny Nom. A trig identity 2013-01-04 From Tehmas: Prove sinC+sinD=2sin(C+D/2)cos(C-D/2) Answered by Harley Weston. The quadratic formula 2013-01-03 From itsel: Find the discriminant ans use it to determine the use the quadratic formula to solve the equasion -2x^2+3x+2=0 Answered by Penny Nom. Mod versus Rem in Turing 2013-01-01 From Eric: I am a teacher teaching computer science using Turing. I am having difficulty understanding why one would use the mod operator versus the rem remainder operator. Mod seems to make the resulting sign depend on the sign of the divisor, whereas rem makes the resulting sign depend on the dividend. Examples: 11 mod 5 = 1 and 11 rem 5 =1 -11 mod 5 = 4 and -11 rem 5 = -1 11 mod -5 = -4 and 11 rem -5 =1 -11 mod -5 = -1 and -11 rem -5 = -1 What I can't understand is why this would matter. For example, -11 / 5 = -2.2 and 11 / -5 = -2.2 get the same result. So how is a remainder dependent on the sign of one of the parts? What benefit would using one over the other have? Any insight would be most helpful! Eric Answered by Harley Weston. A triangular island 2012-12-29 From Udit: A long time ago Mr Gibson found an island shaped as a triangle with three straight shores of length 3 km,4 km and 5 km. He declared an 'exclusion zone' around his island and forbade anyone to come within 1 km of his shore. What was the area of his exclusion zone? Answered by Penny Nom. Solve 2x^4+x^3-37x>26x^2+12 using a graphical approach. 2012-12-29 From Tehmas: Solve 2x^4+x^3-37x>26x^2+12 using a graphical approach. I don't know how to find the x-intercepts or y-intercepts in this form. Answered by Penny Nom. A 12 acre parcel of land 2012-12-28 From John: What are the dimensions of a 12-acre parcel if it is 3 square acres deep and 4 square acres wide? Answered by Penny Nom. 6 digit permutations from {1-49} 2012-12-27 From ange: how many six digits numbers permutations can be formed with the set {1-49} if no digit is used twice in each permutation?? Answered by Penny Nom. Increasing the size of a gift box 2012-12-27 From Tehmas: The dimensions of a gift box are consective positive integers such that the height is the lowest integer and the length is the greatest integer. If the height is increased by 1cm, the width increased by 2 cm, and the length increased by 3 cm, then a larger box is constructed and the volume is increased by 456 cm^3. Determine the dimensions of each box. Answered by Harley Weston. Two polynomials are divisible by x - 2 2012-12-26 From Tehmas: Determine the values of m and n so that the polynomials 2x^3+mx^2+nx-3 and x^3-3mx^2+2nx+4 are both divisible by x-2. Answered by Penny Nom. A 4 digit phone lock using the digits 4, 2, 3 and 0 2012-12-24 From Ragu: I would like to know formula for searching a combination of 4 digit. eg. I knew my Phone Lock combination is my car plate number 4230. But this time, i used another way around instead of 4230. But I am sure, there is only this 4 digits only. 4 & 2 & 3 & 0 Answered by Penny Nom. A valid UPC number 2012-12-22 From Jacob: A valid UPC number , ABABABABAB- C must end in a 2 after using the rule: 3A +B+3A+B+3A+B+3A+B+3A+B+C=##2. What would term C need to be in order to make the following UPC valid? 2741825293-C Answered by Harley Weston. The last 4 digits of a cell phone number 2012-12-22 From Jacob: If the last 4 digits of a cell phone number, XXX-XXX-ABCD, are restricted where: A cannot be 0 or 1 and B cannot be 0 / how many possible 4 digit combinations are left? Answered by Penny Nom. 2 1/4 x 1/8 x 1 3/4 x 12 4/9 x 3 2012-12-21 From Tony: Ok my question 2 1/4 x 1/8 x 1 3/4 x 12 4/9 x 3 I just can't figure out the question ? Answered by Penny Nom. 3x6)+(12divided by2)-8= ? 2012-12-17 From christina: hi my question that's been bothering me is what's (3x6)+(12divided by2)-8= ????? Answered by Penny Nom. Milling round stock to square stock 2012-12-17 From Bryan: Question from Bryan: I want to know what the smallest diameter round is that will make a 3-1/4" square? Is there a formula for that? I am milling round stock into square. Thank you. Answered by Harley Weston. An integral 2012-12-16 From Slavena: integration of (lnx)^2 / x dx Answered by Penny Nom. An area bounded by lines 2012-12-16 From sidra: find area bounded by functions: y=x y=2x and y=5-x Answered by Penny Nom. A max/min problem 2012-12-14 From bailey: A right angled triangle OPQ is drawn as shown where O is at (0,0). P is a point on the parabola y = ax – x^2 and Q is on the x-axis. Show that the maximum possible area for the triangle OPQ is (2a^3)/(27) Answered by Penny Nom. The perimeter of an equilateral triangle 2012-12-14 From shreyaarora: if the area of on equilateral triangle is 24/3cm,then what is its perimeter Answered by Penny Nom. A project on reclaiming water 2012-12-11 From shannon: I'm doing a report to reclaim water off of our campus facility to store in a cistern to use to flush toilets. In Southeast Wisconsin and average of 82 inches of rain and snow fall annually. I want to collect that off of the roof of our school building. The roof is 37128 square feet. how many gallons annually could I collect? Answered by Penny Nom. If n is odd, then n^2 - 3 is even 2012-12-11 From Tracy: Prove the statement: For all integers n, if n is odd, then n2 - 3 is even. Answered by Penny Nom. The circumcenter 2012-12-09 From BandNerd: I need to find the circumcenter of the triangle with the coordinates A(0,0) B(12,6) and C(18,0). I do not understand how to solve it algebraically. Please help! Answered by Chris Fisher. A parabolic bridge 2012-12-09 From Elizabeth: 1) The figure below shows a bridge across a river. The arch of the bridge is a parabola and the six vertical cables that help support the road are equally spaced at 4-m intervals. Figure B shows the parabolic arch in an x-y coordinate system, with the left-end of the arch at the origin. As indicated in Figure B, the length of the leftmost cable is 3.072 m. I'm suppose to find the (x-h)^2=-4a(y-k) equation for this word problem and I really do not know where to begin. Afterwards, I need to find the lengths of the other cables and the maximum height of the arch of the road as well which I am very confused about Answered by Penny Nom. Mark has 312 books 2012-12-07 From paul: Mark has 312 books. He has 11 times as many fiction books as non fiction books. How many fiction books does he have? Answered by Penny Nom. An arrow is shot straight up in the air 2012-12-06 From heather: The skywalk is a glass bottomed platform that hangs over the edge of the Grand Canyon and is suspended 4000 feet above the floor of the canyon. If a tourist shot an arrow straight up in the air from the observation platform, the arrow's height could be modeled by H(t) =-16^2 + 240 + 4000 where H(t) is the height of the arrow above the canyon floor in feet t seconds after being shot, t>0. (a) Find H(5) and explain its meaning Answered by Penny Nom. The angles of elevation and depression 2012-12-03 From Chelsey: a person on a balcony of one building looks towards a second building. if the angle of elevation to the top of the second building is 25 degrees, the angle of depression to the bottom of the second building is 17 degrees, and the balcony of the first building is 22 feet above the ground, what is the height of the second building? Answered by Penny Nom. Transposition error 2012-12-03 From Carol: What is the correct term for when a child writes 61 instead of 16, or 83 for 38--when they switch the place values of a number? Answered by Chris Fisher. A circle inscribed in a triangle 2012-11-28 From Angie: Circle O is inscribed in triangle ABC. Angle A = 50 and angle B = 60. Find arc XY in dgrees Answered by Penny Nom. Sinx=logx+x^2 2012-11-28 From yasmin: Sinx=logx+x^2 Answered by Harley Weston. The area of a triangle given its vertices 2012-11-27 From elizabeth: how to calculate the area of a triangle using points ABC a (2,5) b ( -4,-3) c ( 6, -1) Answered by Penny Nom. Two sides of a triangle 2012-11-25 From Nazrul: In the triangle ABC, AB>AC and the bisector AD of angle BAC intersects BC at D. How can I prove that angle ADB is an obtuse angle. Answered by Penny Nom. What is the probability that the sixth draw will be a red ball? 2012-11-23 From Patty: The probability of drawing a red ball out of a bag containing one red ball and one black ball is 1/2. An experiment is conducted where these two balls are placed in a bag before drawing a ball out. A ball is drawn 5 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? Answered by Penny Nom. Two quadratic equations 2012-11-22 From fahmie: graph and solve the intersection of the following equations: x^2+y^2=4 x^2+2y=4 Answered by Penny Nom. A raised bed in the shape of an octagon 2012-11-22 From pat: I want to make raised-bed gardens - usually 4' square, but want to be more creative by creating octagonal boxes. The ideal size for square beds is 4'x4'. The boards are 8' long, so I want to get as much out of a board as I can. If I want an octagon with a diameter of 4', I think the sides would be (rounded off) about 1.5' each using 2 full boards with a little waste and the growing space would be less than a 4' square (16 square feet). If I want to increase the length of each side to 2' each (getting the max from a board), what will the diameter of this octagon be so I can determine the growing space of the box. (The reason a 4' square is important in gardening, besides maximizing the wood, is that a person can reach into the center to plant and pick veggies without stepping on the soil, so diameter is important). My math days are long over and I'm having trouble working with octagons! Thank you! Answered by Harley Weston. Golf for 2 groups of 4 for six rounds 2012-11-21 From Andy: You have very kindly responded to a couple of questions I asked previously and I have tried to find the answer to my current query on the various links etc. My question: There are 8 of us going on a Golf Tour and we will be playing 2 groups of 4 for six rounds of golf. Is there a suitable schedule that works to ensure everyone plays with each other the same number of times (or as close as possible). Many thanks again for your help. Answered by Victoria West. Difference of squares 2012-11-19 From Qelibar: Please factorise x^2y^2 - 4 Answered by Penny Nom. A function problem 2012-11-18 From nahla: f: IN --> IN n --> f(n) for every n that belongs the IN : fof(x) = 4n - 3 and for every n that belongs to IN f(2^n) = 2^(n+1) -1 Calculate f(993) Answered by Penny Nom. The square of any odd number, decreased by 1, is divisible by 8 2012-11-16 From bailey: Prove that the square of any odd number, decreased by 1, is divisible by 8 Answered by Penny Nom. A path around a pond 2012-11-16 From bailey: hi there, A circular pond is surrounded by a path 1 metre wide. The area of the path is 1/4 of the area of the pond. Find the radius of the pond. Thanks Answered by Penny Nom. Factor (6a^2-5a+1)(8a^2-6a+1)(12a^2-7a+1) 2012-11-16 From bailey: Factorise f(a)=(6a^2-5a+1)(8a^2-6a+1)(12a^2-7a+1) thus find [f(a)]^1/2 Answered by Penny Nom. Stairs for the new community center, part 2 2012-11-13 From Emily: Plans for a set of stairs for the front of a new community center use the ratio of rise to run of 2 units to 5 units. B. Sketch a set of stairs that meets the rise-to-run ratio of 2 units to 5 units. Answered by Penny Nom. How much should I price the earrings? 2012-11-13 From Sharon: I want to sell some earrings and make a$12.00 profit on them I have to pay a 35% commission on them. How much should I price the earrings?
-5<2x+1<-1 2012-11-11
From Rahul:
How does -5<2x+1<-1 changes to 1<|2x+1|<5. What is the rule? Can we apply absolute value function throughout the first inequality i.e. can we say |-5|<|2x+1|<|-1|. But then it becomes 5<|2x+1|<1 which is impossible because 5 is not less than 1.
From ryan:
Tuscan school has a fair. At the fair, Pia plays "what's your secret? The game starts with 3 players who are told the same secret. Each of those 3 players tells another 3 player, and so on. At the end of the 3rd round, everyone who knows the secret will compare what they have heard. What number in exponent form represents the number of people who know the secret after 3 rounds? How many people is that?

Thank you very much.

P.S. I got 3 cube. which is 27

But when i map it out I end up with 39.

Practical uses of trigonometry 2012-11-11
From Michael:
Where can I find books or information on real life function of sine and cosine?
A mathematical expression with the answer 7 2012-11-10
From emily:
hey um i need to find and problem that fallows bedmas that has one division one multiplication and one sub and one add and one brackets and one exponents that has the answer of number 7
Converting a mixed number to a decimal 2012-11-10
From Mahaveer:
Convert mixed fraction to decimals: 4 2/6
The derivative of y = sin (30º + x) 2012-11-07
derivative of y = sin (30º + x)
Joe and Chris each bought a six pack of cola 2012-11-01
From Loulou:
Joe and Chris each bought a six pack of cola. Joe gave 2/3 of his away and Chris gave half as many as Joe. how many more colas did Chris have than Joe
Filling a box with wood chips 2012-10-31
From lee-Anne:
Each bag of wood chippings will fill 4m3 how bags would be needed?
Volume of box is 572 cm3
L=11CM
W= 6.5CM
H=8CM

4+4x5+4= ? 2012-10-31
From Bob:
4+4x5+4= ?
Frosting a three layer cake 2012-10-30
From johnathan:
Each layer of a 3 layer cake is a cylinder with height 7.5 cm. The bottom layer has diamegter 25 cm. The middle layer has dimegter 22.5 cm. The top layer has diameter 20 cm. The surface of the cke is frosted. What area of the cake is frosted. I get 1695.56 but the answer in the book is 2081.3
My compass was off by 8 degrees 2012-10-30
From Oscar:
If I walked 620' and my compass was off by 8 degrees how many feet from my heading was I? Thank You
The sum of a number p and twenty-one 2012-10-30
From mayra:
the sum of a number p and twenty-one
Introductory algebra 2012-10-30
From kevon:
if x = 7 is used in the expression 2x + 5 what is the output
A bipartite graph 2012-10-29
From A student:
Suppose that G be a bipartite graph with maximum degree of k.

Prove that:

1)Exists a K-regular bipartite graph that G be subgraph it(H)

birdhouse in the shape of a rectangular prism 2012-10-29
From Tiffany:
Hello, I am Tiff M. from NYC.
I was solving a math problem about adding,subtracting,multiplying or dividing fractions and mixed numbers. I am not getting this question below.
* Laura is building a birdhouse in the shape of a rectangular prism. The base of the birdhouse has an area of 5 square inches. The height of the birdhouse is 2 7/12 inches. Laura calculated the volume of the bird house to be 10 7/12in. Is she correct?
If not, what did she do wrong?

Forming an algebraic expression 2012-10-27
From ashley:
A sidewalk has a constant width W and comprises several short sections having lengths 12, 14,and 10 feet. How do I find the simplified expression that gives the number of square feet of sidewalk?
Square root 2012-10-27
From Ashley:
what does square root means
An implicit differentiation problem 2012-10-26
From Katie:
find y' of x^2y-2y^3=3x+2y
Some 4 digit numbers 2012-10-25
From samira:
How many 4-digit numbers are there in which the first and last digits are the same?
How fast is the distance between the aircraft and the car increasing? 2012-10-24
From Steven:
At a certain instant an aircraft flying due east at 240 miles per hour passes directly over a car traveling due southeast at 60 miles per hour on a straight, level road. If the aircraft is flying at an altitude of .5mile, how fast is the distance between the aircraft and the car increasing 36 seconds after the aircraft passes directly over the car?
A label to cover a plastic cup 2012-10-23
From Kevin:
I'm trying to make a label to cover the entire outer area or a plastic cup. I know there must be a way to figure out the dimensions needed, but I can't seem to figure it out. The circumference of the bottom of the cup is 21.4cm and the circumference at the top of the cup is 29.8cm. The cup is 14.5cm tall. What should the height of the arc from the plane connecting the two ends of the 21.4cm arc. I attached a diagram where x is the value I'm looking for. I'm guessing there is some simple relationship between the length of a line and the arc needed to turn that line into a perfect circle, but I don't know what it is. Can you figure this out and share it with me? Thanks.

-Kevin

Differentiation rules 2012-10-23
From Morgan:
Use the derivative rules to differentiate each of the following:
1. f(x)=1/x-1
2. f(x)= sqrt(x)

Some 6 digit numbers 2012-10-23
From Mason:
How many different 6 digit numbers can you make using the digits 1 ,2 5, 6, 7, and 9? How many of these six-digit numbers are divisible by 6?
A 2 acre plot 2012-10-22
From bob:
If a plot of land on the south side is 290.16 feet wide, how many feet on the west and east side to the north to make a 2 acre plot?
Thank You Bob

Two swimmers 2012-10-22
From Emily:
Two swimmers start from opposite sides of the pool. Each swimmer swims the length of the pool and back at a constant rate. They pass each other for the first time 40 feet from one side of the pool and for the second time 45 feet from the other side of the pool. What is the length of the pool?
Solving for a/b 2012-10-21
From Jenny:
If a + 3b is equal to 175% of 6b, what is the value of a/b?
Converting a fraction to a decimal 2012-10-20
From A Teacher:
My students want an easy way to convert a fraction to a decimal, can I get one from you?
Two congruent circles in a rectangle 2012-10-20
From Alexander:
Have you ever solved a problem, in which you have a rectangle, from which you need to cut the largest two circles of equivalent diameter? I bisected a rectangle diagonally, but the circles, while tangent to two of the sides, are not tangent to eachother. Can you devise a method for two equivalent circles, that are tangent to two sides, are also to eachother?

Take for example a piece of paper, Each if the two largest circles has a diameter that is greater than the distance to the midpoint of the diagonal bisector of the rectangle.

A proof by contraposition 2012-10-19
From Rahul:
I am not able to understand the following,
To prove that if for all e>0, |x|0, then |x|>=e. I understand the approach very well but I do not understand why if |x|=e then |x|>=e. If it is so then why not |x|= Thanks in advance!'
Rahul.

A function with 3 asymptotes 2012-10-19
From rimoshika:
find a function that have 3 Asymptotic : y=x/y=sinx/x=-1
Whites and Sulphurs butterflies 2012-10-19
From Arlene:
The Whites and Sulphurs are one major family of butterflies. There are about 720 varieties. Eleven times more Whites and Sulphurs live outside North America, mostly tropical Asia and Africa, than live inside North America. How many of this family of butterflies live in North America? How many live in the rest of the world?
The nth term of a sequence 2012-10-19
From Emily:
I don't understand how to do this question:
Nth term for 9, 7, 5, 3, 1
Is there a fast way to do nth term for this question? Or in fact any question?

Revolutions per second 2012-10-18
From Crystal:
Suppose a car wheel is 26 inches in diameter.
a) If the tire completes one rotation, how far would the car travel?
b) If the car is traveling at 60 miles per hour, how fast is the car wheel spinning in revolutions per second?

Passing out graph paper 2012-10-18
From Andrea:
mr karnowski has a stack of 125 sheets of graph paper.He is passing out g sheets to each of his students. What is the expression for the number of sheets he will pass out to the first 5 students?
Percentiles 2012-10-17
From Kenneth:
Question from Kenneth:

Hello:

What is a common calculation used to determine percentiles?

For example, five employees have the following salaries:

Office worker 1 - $25,000 Office worker 2 -$27,000

Office worker 3 - $30,000 Office worker 4 -$32,000

Office worker 5 - $35,000 What is the percentile rank of office worker 3 who earns$30,000?

Here's what I know: Add the number of salaries. Total: 5

Add the smallest number of salaries less than $30,000. There are two. Now, divide 2 by 5 and multiply by 100. 2/5 * 100 = 40 I think the office worker making$30,000 is in the 40th percentile. and I'm not sure what this ranking indicates.

Composition of functions and one to one 2012-10-17
From Ariana:
If f o g are one to one function,does it follow that g is one to one? Give reasons for your answers
The degree measure of the central arc of a circle 2012-10-17
From Crystal:
On a circle with radius of 12 cm is an arc of length 20 cm. What is the degree measure of the central angle used to make this arc?
The height of a triangle 2012-10-17
From Brian:
the base of my triangle is 12 metres and the two sides are 8.45 metres can you help me find the height of the triangle
4 digit combinations 2012-10-17
From Scott:
How many different 4- number combinations from 0-1-2-3-4-5-6-7-8-9 with 2 out of the 4 odd and 2 out of the 4 even, with no numbers repeating. Thanks
3 acres 2012-10-16
From Katy:
If 3 acres of land were a complete square, how many feet would be on each side?
Walking home from school 2012-10-15
From margie:
My sister can walk from school to home in 40 minutes. I can walk from school to home in 30 minutes. Today I stayed for some extra help, and my sister was already 2/5 of the way home when I started. If I walk at my usual speed, can I catch my sister before she gets home? If yes exactly what fraction of the trip have we covered when I catch her? If no exactly what fraction of the trip have I covered when my sister gets home?
A question about a parallelogram 2012-10-14
From Renu:
Question from renu, a parent:

ABCD is a parallelogram. BP and DQ are two parallel lines cutting AC at P and Q respectively. prove that BPDQ is a parallelogram

A tank with an inner walled compartment 2012-10-12
From don:
I have a tank 20 feet diameter, 19' 8" tall with an inner walled compartment that has a 7' 6" radius arc with in the tank. I need to figure out the volume of the inner area and the volume of the larger area.
A word problem involving a fraction 2012-10-12
From Derrick:
If the numerator and denominator of a fraction are both decreased by 1 the fraction becomes 2/3. If the numerator and denominator are both increased by 1 the fraction will be 3/4. Find the original fraction. How to do?
GST in New Zealand 2012-10-10
From Colleen:
I work out my claimable gst each month but need to know the total sales or purchases amounts for filling in my six monthly paper work. How do I do that. I tried doing the opposite of calculating the gst i.e. x3 and /23 but it is slightly different to my total.
Possible soccer scores 2012-10-09
From Riaan:
Good day, I would like to know all the possible scores for a set of 5 soccer matches with no more than 5 total goals being scored in any match. Bearing in mind that there are three outcomes to every match. Win, Lose or Draw. Could you please help me with this?

Kind regards
Riaan
South Africa

A four digit number 2012-10-09
From cyndi:
find this 4 digit number: the tens digit is 1/3 of the hundreds digit; the 2 digit number formed by the tens and ones digits i the largest prime number smaller than 40; the sum of all 4 digits is the same as the number of face on an icosahedron ? what is the number?
Three piles of top soil 2012-10-07
From Steve:
I need your help please, I am looking to purchase some top soil and keep getting conflicting answers.
There are 3 piles and here are the sizes;
Pile #1: 203 feet around and 21.29 feet high.
Pile #2: 195 feet around and 18.75 feet high.
Pile #3: 150 feet around and 17.98 feet high.
I look forward to hearing back from you asap.
Thank You!
Steve

A problem that yields a linear equation 2012-10-07
From Eshraj:
one fourth of a whole number is three more than one fifth of the next whole number.find the whole number
How many oranges? 2012-10-06
From Rodger:

Question from Rodger, a teacher:

How Many Oranges?
Marjorie, Colleen, and Bob picked oranges together. They were tired after picking a large number of oranges and so fell asleep. Marjorie woke first and decided to take her third of the oranges and head home. She counted the oranges, and found that the number was divisible by 3 if she took one of the oranges first. Marjorie took one orange and then took one-third of the remaining oranges. She left quietly.
Bob awoke a short time later, noticed that Colleen was sleeping, and presumed Marjorie had gone for a walk. He decided to head home because he wasn't feeling well. Not realizing that anyone had left, he counted the oranges and found that the number of oranges was two more than a number that could be easily divided by 3. So he took the two extra oranges and then one-third of what was left. He left without waking Colleen and without waiting for Marjorie to return.
Colleen finally awoke and wondered where her friends had gone. She assumed they were both busy somewhere nearby. Before she left, she counted the oranges and was surprised at how small the number was. She found that the number of oranges was one more than a multiple of three, so she took the extra orange and one third of those remaining.

1. What was the total number of oranges the friends picked?
2. How many oranges were left behind when Colleen departed?
3. Is more than one answer possible for the total number of oranges? If so, what other numbers are possible? Explain.
4. Based on the values you found in problem 3, determine a reasonable solution to the problem. Explain your answer.
5. Is it possible that five oranges remained after Colleen took her share? Explain.
6. Could there have been six oranges left after Colleen departed? What about 46 oranges initially? Explain
7. Find a pattern that gives all the possible numbers of oranges that the friends picked. Explain your pattern

5. Is it possible that five oranges remained after Colleen took her “share”? Explain. 6. Could there have been six oranges left after Colleen departed? What about 46 oranges initially? Explain 7. Find a pattern that gives all the possible numbers of oranges that the friends picked. Explain your pattern

Profit 2012-10-05
From kathie:
find the profit income is $500 expenses$120
Two circle problems 2012-10-05
question 1
find an equation for the circle through the point (0,0) and (6,0) that a tangent to the line y=-1
question 2
find an equation for the circle through the point (0,0) and (17,7) whose center lies on the line 12x-5y=0

Painting 400 drums 2012-10-05
From Jordan:
This cylinder is given:

Cylinder with a height of 84 cm and a diameter of 54 cm.

Question: The exterior of the drum (cylinder), except the base, is to be painted blue. calculate how many litres of paint will be needed to paint 400 drums if one litre of paint covers 8.8meters Squared. Answer to nearest tenth of a litre.

\mbox 2012-10-05
From Jordan:
This cylinder is given:

Cylinder with a height of 84 cm and a diameter of 54 cm.

Question: The exterior of the drum (cylinder), except the base, is to be painted blue. calculate how many litres of paint will be needed to paint 400 drums if one litre of paint covers 8.8meters Squared. Answer to nearest tenth of a litre.

Four tangent circles 2012-10-04
From renu:
inside of a circle K of radius length measure R,three circular discs A,Band C each of radius r are placed so that each touches the other two and K . express R in terms of r. in the space between K, A and B , another circular disc D is placed which just touches K, A and B. if the radius is s, show that (6+root3)s=(2+root3)r
Find an algebraic expression 2012-10-03
From Karen:

Question from Karen, a parent:

Find an algebraic expression relating the input and output.

 input output 3 1 9 3 15 5 21 7 27 9

Solve 8t-r=12t for t 2012-09-29
From Monejah:
I need help solving 8t-r=12t for t
A problem involving simple interest 2012-09-27
From Tash:
The amount of money in a single year of an investment after P dollars were initially invested is A = P + Prt, where r is the rate of simple interest. What expression describes P? How much money was initially invested if the account has $1000 one year after the initial investment and the interest rate was 5%? Answered by Penny Nom. More on marbles in a jar 2012-09-27 From josh: Question from josh, a student: Suppose you have a jar containing 100 red marbles and 100 white marbles. A) If you draw 5 marbles in a row, throwing each marble across the room as you draw it, what is the probability that at least one of them was red? B) If you draw 101 marbles in a row, throwing each one across the room as you draw it, now what is the probability that at least one of them was red? I saw that this answer was already answered but "The probability that at least one is red is 1 minus the probability that they are all white." makes no sense to me can you please explain i thought that each time a marble is taken out the amount left is different can you please explain better Answered by Robert Dawson. Profit and discount 2012-09-24 From ally: A wholesaler purchased a wheat for$150 per tonne.He sold it at $170 per tonne.Calculate the percentage profit to (1 decimal place)if the wholesaler offered a 12% discount on the selling price.What could be the new selling price? Answered by Penny Nom. Guess and Check 2012-09-24 From Myron: My daughter has homework involving Guess and Check. Her Math book is no help with the question in her homework so hopefully you can help me. Here's the question: "The sum of a number and it's double is 24. Use the Guess and Check method to find the answer". Help!! Answered by Robert Dawson. Adding two fractions 2012-09-19 From jeanette: Question from jeanette, a parent: can you help me figure this according to BEDMAS I am lost steps please: $\frac{12.75^2}{50} + \frac{13.49^2}{60}$ I hope this is not too confusing for you it is to me... Answered by Harley Weston. The perimeter of a rectangle 2012-09-19 From aretha: calculate the perimeter of a rectangle with the long side 462ft x 9inches and the short side 50% less. Answered by Penny Nom. What percent of her monthly take home pay are her monthly expenses? 2012-09-19 From tina: a girls monthly take home pay is 1932.00. her monthly expenses total 1910.00. What percent of her monthly take home pay are her monthly expenses? Answered by Penny Nom. Changing the sign of an inequality 2012-09-19 From Bryauna: Why do you change the signs in inequalities?! Answered by Penny Nom. Functions 2012-09-18 From nayeem: I tried with many functions but I am not getting the exact values please help me A give an example of a function whose domain equals the set of real numbers and whose range equals the set the set {-1,0,1}? B Give an example of a function whose domain equals (0,1)and whose range equals [0,1] C.Give n example of a function whose is the set of positive integers and whose range is the set of positive even integers D. Give an example of a function whose domain is the set of positive even integers and whose range is the set of positive odd integers E give an example of function whose domain is the set of integers and whose range is the set of positive integers. F. Give an example of function whose domain is the set of positive integers and whose range is the set of integers. please show me the work Please give me the trick of finding such functions Answered by Robert Dawson and Harley Weston. Functions 2012-09-18 From nayeem: I tried with many functions but I am not getting the exact values please help me A give an example of a function whose domain equals the set of real numbers and whose range equals the set the set {-1,0,1}? B Give an example of a function whose domain equals (0,1)and whose range equals [0,1] C.Give n example of a function whose is the set of positive integers and whose range is the set of positive even integers D. Give an example of a function whose domain is the set of positive even integers and whose range is the set of positive odd integers E give an example of function whose domain is the set of integers and whose range is the set of positive integers. F. Give an example of function whose domain is the set of positive integers and whose range is the set of integers. please show me the work Please give me the trick of finding such functions Answered by Robert Dawson and Harley Weston. Equivalent sets 2012-09-13 From asif: show that (-1,1)~(1,1) or give its counter example Answered by Harley Weston. Equivalent fractions 2012-09-13 From lily: if i had 1/3 and i had to find the problem an they gave me 20 what will be the denominator Answered by Penny Nom. Cones, pyramids, cylinders and prisms 2012-09-13 From Roy: I read on this page that a pyramid is a special kind of cone, but a cone is not a pyramid. Does this apply to cylinders. Is a prism a special kind of cylinder, but a cylinder is not a prism? Answered by Robert Dawson. The dimensions of a rectangle 2012-09-12 From Becky: A rectangle has an area of 48 square inches and perimeter of 32 inches. Find the dimensions of the rectangle. Answered by Penny Nom. An equilateral triangle and a regular hexagon in a circle 2012-09-11 From Heidemarie: The vertices of an equilateral triangle with side length of 10 sqrt 3 cm lie on a circle. Find the side length of the regular hexagon whose vertices lie on the same circle. Answered by Penny Nom. The units digit 2012-09-11 From Shaunice: Simplify each of the following expressions and determine what the last digit would be. a. (24^15) 4 Answered by Penny Nom. Six digit numbers 2012-09-11 From Fiona: using the numerals 0, 2, 3, 5, 7, 9, make as many six-digit numbers as you can. Rearrange them into ascending order Answered by Robert Dawson. Factoring 2012-09-10 From saravanan: Dear Sir , I felt difficulty solving the following problem . So please help me . a+b+c=7 ab+bc+cd= 20 what is a^2+b^2+c^2 ? Answered by Lorraine Dame and Robert Dawson. Golf for 12 2012-09-10 From John: To have 12 players in groups of 4 playing in 4 games with different people each day Answered by Victoria West. Adding more than 2 fractions 2012-09-10 From Anonymous: How do you add or subtract more than 2 integer fractions? OK, here is an example. -5/6 + 7/4 + 13/8 Please tell me the steps. Thanks- grade 9 student Answered by Robert Dawson and Penny Nom. The height of a building 2012-09-08 From Lin: How do surveyors determine a height of a building 150 feet away with an observation angle at 40 degrees? What is the elevation of that top floor? Answered by Penny Nom. A profit of 35% 2012-09-07 From Jack: If a product cost me$10.00 and I want a profit of 35% what is my sell price? How do I figure the sale price to make a 35% profit on the sale?
The volume of fluid in a tank 2012-09-06
From Dave:
I have vertical round flat bottom tanks of various dimensions. It is easy to find total volume but I would like to know how to figure out the coversion factor to go from how many centimeters of liquid is in the tank to the number of total cubic meters of volume. So if my float gauge on the tank says there is 50 cm of fluid in the tank, how many cubic meter of total volume is there?
The hypotenuse 2012-09-06
From Jeevan:
how can i find the height and base of a right angle triangle if i have the hypotenuse only ?
(2y+1)/3=(1y-1)/2 2012-09-06
From jenna:
(2y+1)/3=(1y-1)/2
A container of split peas 2012-09-06
From Laurie:
I have a container that is 471 square inches (length*width) and is 2.3 inches high. I want to cover the bottom with 1/2 inch of split peas, in order to anchor escort cards (place cards) for a wedding. How many pounds of split peas do I need to cover the area to a height of 1/2 inch? Thanks
Row echelon form 2012-09-05
From Jennifer:
Hello, my name is Jennifer. I am a 12th grader in Pre-Calculus and I was wondering if you may help me with Row Echelon Form.

x + 2y - 3z = -5
-2x - 4y - 6z = 10
3x + 7y - 2z = -13

Angular velocity 2012-09-05
From Kyra:
A belt connects a pulley of radius 8cm to a pulley of radius 6cm. Each point on the belt is travelling at 24 cm/sec. Find the angular velocity of each pulley.
A tangent to f(x) = 1/x 2012-09-04
From Steven:
Consider the graph of the function f(x) = 1/x in the first quadrant, and a line tangent to f at a point P where x = k. Find the slop of the line tangent to f at x = k in terms of k and write an equation for the tangent line l in terms of k.
Two cubes 2012-09-04
From alexis:
a cube has one face that is equal to the total surface area of another cube. Find the ratio of their volumes
Exponential form 2012-09-04
From angie:
How do i write 9^-5 in exponential form?
The number of solutions of sinx = x^2 + x +1 2012-09-01
From anamika:
number of solutions of

sinx = x^2 + x +1
graphically?

A security code 2012-09-01
From Breanna:
The code is made up of five two digit numbers from 01 to 20 entered in a certain order. How many different security codes are possible with this system
The area of a rectangle 2012-08-31
From mario:
The area of a triangle when on side is x and the other is x+6
Exponntial form 2012-08-30
From Robin:
My math teacher has asked the question:

"Write mmmxxjmyy2 in exponential form"

How would you solve this problem?

Golf for 20, two teams of 10 2012-08-30
From Mark:
Hi I have to teams of 10 people playing Ryder cup format(against each other) Can I have all 20 people playing with someone different over 3rounds of golf while remaining on there respective team I.e. players 1 to 10 must team up with a player of that group against a pair for players 11 to 20
I hope you can solve this for me
Thanks a bunch Mark

12 golfers, 4 rounds 2012-08-29
From Paul:
We have 12 golfers who will play four rounds of golf - how can we organize the foursomes so that each player has the most exposure to the other 11 players?
A schedule for 6 teams and 37 games 2012-08-29
From Giovanni:
Hello, i try to prepare a schedules for 6 teams, and every teams will play 37 games before the playoff. How to make a schedules? thanks
Minutes and seconds 2012-08-29
From Casey:
I have to write a variable equation. The questions says there are 60 seconds. but we need to write and equation to solve for minutes. Is it 1/60 or 1/s