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A triangular garden 2020-05-24
From yoonji:
the 3 sides of a triangular garden measure 200 ft., 250 ft., and 300 ft., respectively. the garden is to be divided by a line bisecting the longest side and drawn from the opposite vertex. what is the length of the bisecting line?
Answered by Penny Nom.
A sand castle in the shape of a truncated cone 2020-05-23
From Summer:
A sand castle is in the shape of a truncated cone as shown. Calculate the length of the diameter of the base.
The diameter of the top of the truncated cone is 20cm
The height is 30cm
The slopes are 32cm

Answered by Penny Nom.
A 50:1 ratio in a pint 2020-05-22
From Steve:
How much oil do I need to put in a pint if it's 50:1 ratio
Answered by Harley Weston.
Drawing a counter from 2 bags 2020-05-21
From Sephy:
Question 4: Two bags, 1 and 2, each contain equal size counters.
Bag 1 contains a pink counter, yellow counter and white counter. Bag 2 contains counters labelled 1, 4, 5 and 7.
A counter is drawn at random from bag 1 and a counter is drawn at random from bag 2.
If the counter from bag 1 is pink, the number on the counter from bag 2 is increased by 1
If the counter from bag 1 is yellow, the number on the counter from bag 2 is decreased by 5
If the counter from bag 1 is white, the number is halved.
Find the probability of scoring a number below 3

Answered by Penny Nom.
Forming the largest cylinder 2020-05-20
From Amanda:
How do I find the maximum surface area and volume of a cylinder made up of ONE 8.5x11 piece of paper?
Answered by Penny Nom.
Maximizing the volume of a cone 2020-05-18
From Ella:
Hello, this is question - 'If you take a circle with a radius of 42cm and cut a sector from it, the remaining shape can be curled around to form a cone. Find the sector angle that produces the maximum volume for the cone made from your circle.'
Answered by Penny Nom.
An angle i a triangle 2020-05-16
From Ogunjobi:
Two goal post are 8m apart a footballer is 34 m from one post and 38m from the other within what angle must he kick the ball if he is to score
Answered by Penny Nom.
Running in opposite directions around a circular track 2020-05-11
From Alessandra:
2. Alan and Brian are two runners. Alan runs at 6.6 m/s and Brian runs at 8.4 m/s. They start from the same place on a circular 400 m track and run in opposite directions round and round the track.
(a) How far has Brian run when they pass each other for the first time?
(b) After they pass each other for the second time, how much further does Brian need to run in order to complete two laps (800 m)?

Answered by Penny Nom.
How long will it take to dig the trench? 2020-05-06
From Marielena:
If the production rate for hand digging a trench is 1.2 mh/cy, how long would it take for one man to dig a trench 2 feet deep by 1 foot wide by 216 feet long?
Answered by Penny Nom.
Three numbers have a sum of 45 2020-05-06
From Jayden:
Three numbers have a sum of 45. The greatest of the 3 numbers is 2 greater than the least number. What are the numbers? *
Answered by Penny Nom.
The flight of a football 2020-05-06
From Michael:
Football is thrown from a 10-yard line. It reaches its highest height of 20 yards. It lands on the 50-yard line after 2 seconds. What is the equation of the parabola that models this throw? I really need help as I've been on this for the longest amount of time.
Answered by Penny Nom.
Signs at 1/3 mile intervals 2020-05-03
From Heather:
The butterfly garden in St. Thomas gardens is a three mile loop at every 1/3 there is a sign along the loop to mark each 3rd of a mile along the loop if Melanie is standing next to the 7th sign at what mile is she?
Answered by Penny Nom.
The volume of a stone 2020-05-02
From KHOSI:
A rectangular container is 9cm wide,17cm long and contains water to a depth of 11cm. A stone is placed in the water and the water rises 2,2cm .Find the volume of the stone
Answered by Penny Nom.
The volume under an an uneven surface 2020-05-01
From Solon:
I am trying to fill an area of floor which has an uneven surface. I need to know the volume of fill. If you imagine a rectangular room (4 corners) that measures 189 inches by 240 inches and the depth at each corner is different.
Let us say corner #1 has a depth of 1", corner #2 has a depth of 0", corner #3 has a depth of 2" and corner #4 has a depth of 4".
How would i find the volume of said floor area?

Any assistance would be greatly appreciated!

Answered by Harley Weston.
Adding a service charge and the VAT 2020-04-30
From richard:
was given a figure by a client been performance bonus of staff , the figure is 806,698.35 from this 806,698.35 is my company service charge of 10% and 5% of the service charge will be Vat to government in summary from 806,698.35 is 10% of service charge and 5% of service charge is the VAT
Answered by Penny Nom.
A system of equations. 2020-04-27
From solomon:
xy + x =28
x + y +4

Answered by Penny Nom.
Power notation 2020-04-26
From Aditi:
The power notation of -1 / 128
Answered by Penny Nom.
The width of a rectangle of land 2020-04-26
From Teresa:
If a rectangle shape piece of land is 813 feet long. How many feet width would be 2 acres?
Answered by Penny Nom.
How many boxes will fit in a closet? 2020-04-24
From Jordan:
Janelle has some boxes that are 43cm long, 23cm wide and 18cm tall. She wants to store them in a closet in her basement that is 2.2m tall, 1.1m wide, and 0.8m deep. What is the maximum number of boxes that Janelle can possibly fit in the closet?
Answered by Penny Nom.
Building a house in one year 2020-04-22
From Fify:
If it takes 8 men to build a house in 450 days. How many men would it take to build the house in 365 days? Is there a specific method to calculate this please?
Answered by Penny Nom.
Four digit numbers starting with 6 2020-04-22
From Judy:
I need to generate a list of 4 digit numbers using 0-9 where the first digit is 6 and no numbers can be repeated
Answered by Penny Nom.
An arch in the form of a semi-ellipse 2020-04-20
From Anggelica:
an arch in the form of a semi-ellipse is 8 feet wide at the base and has a height of 4ft. how wide is the arch 1foot above the base?
Answered by Penny Nom.
Gravel for a French Drain 2020-04-17
From Ray:
Hello,

** I am wanting to add 2 French Drain's in my yard. The 1st drain will be 25 ft. long, 8 in wide and 18 in deep. The pipe I'm using is 4in. in diameter. I'm trying to figure out how many yards of clean gravel I will need for this project?

** The 2nd French Drain will be 100 ft in Length, 10in wide and 18 in deep. I will also be using the 4in in diameter pipe for this drain. I am needing to see how many yards of clean gravel, I'll need for this drain? Any assistance would be greatly appreciated!! Thank you!!

Answered by Harley Weston.
The missing diameter of a truncated cone 2020-04-17
From Brandon:
Need a formula to find missing large Dia of a truncated cone where the small dia =.19" Height= 2" and taper =16deg
Answered by Harley Weston.
An isosceles triangle 2020-04-16
From jo:
Find the angle between the two sides of length 5 in an isosceles triangle that has one side of length 9 and two sides of length 5.
Answered by Penny Nom.
Why is a square a rectangle but a rectangle is not a square? 2020-04-15
From A parent:
Why is a square a rectangle but a rectangle is not a square? Explain your answer.
Answered by Penny Nom.
Two chords 2020-04-14
From Frank:
How to find the length of the radius of a circle if you know the lengths of two chords
Answered by Penny Nom.
A hexagon constructed from two triangles 2020-04-13
From sunny:
Triangles AEC and FDB are equilateral triangles and EA= DF= 12cm. The polygon at the center of the star is a regular hexagon. What is the area of the hexagon?
Answered by Penny Nom.
A rectangular garde 2020-04-10
From Denise:
In a rectangular garden a person says "if I made that bed 2 feet wider and 3 feet longer it Would have been 64 sq,ft bigger. But if it had been 3 feet wider and two feet longer It would have been 68 sq.ft bigger.
What is the length and width of the garden bed?

Answered by Penny Nom.
Three consecutive odd integers 2020-04-10
From Roxie:
What is three consecutive odd integers?
Answered by Penny Nom.
Setting up a linear equation 2020-04-10
From Jessie:
Michaela and Aleah play on the same basketball team. In one game, Michaela scored one fifth of the teams points and Aleah scored one tenth of the teams points. Together, they scored a total of 42 points. How many points did the team score?

I can't figure out how to put together the equation with the given variables. I have to show the work and I also need to know how to make that kind of equation. Thanks!

Answered by Penny Nom.
A pond in a garden 2020-04-09
From Jin:
c) I have a large square pond set inside a square garden: both the pond and the garden have sides which are a whole number of metres, and outside the pond, the garden is grassed over. The area covered by grass is 188 square metres. Find the area of the pond. (5 marks)
Answered by Penny Nom.
Form a square and a triangle from a wire 2020-04-08
From Raahim:
2. A 2 meter piece of wire is cut into two pieces and once piece is bent into a square and the other is bent into an equilateral triangle. Where should the wire cut so that the total area enclosed by both is minimum and maximum?
Answered by Penny Nom.
A 5 digit number 2020-04-04
From Rajesgy:
Guess the 5 digit number
Hint:
Number is divisible by 2
Average of all numbers is 5
Last 2 digit is divisible by 7 and the number is less than 50000
Only one odd digit

Answered by Penny Nom.
An arithmetic sequence 2020-04-04
From ally:
-10 ... last term 35 common difference is 3
(a) find the number of term in the sequence.
i have lost the formula.

Answered by Penny Nom.
A linear system 2020-04-02
From Dadzie:
x+s=8→1
y+x=13→2
y-p=6→3
s+p=8→4

Answered by Penny Nom.
A stem-and-leaf plot with decimals 2020-04-02
From Renee:
I am an AP Statistics student who is reviewing for the exam.

On one of my review worksheets, we have to create a stem-and-leaf plot for values with 2 decimal places (i.e. 9.14, 8.14, 8.74, 8.77, 9.26, 8.1, 6.13, 3.1, 9.13, 7.26, and 4.74).

How would I make the stem-and-leaf plot for this? I've already searched your database and nothing popped up.

If you could help me, that would be great. Thank you!

Answered by Penny Nom.
A circle in a square 2020-04-02
From Sabra:
Hello, I have twins in the 7th grade that are learning how to find circumference of circles. I am struggling with figuring out how to help my children to find the answer to this question:

Tye has a square piece of yellow felt that has an area of 81 square inches. She wants to cut the largest circle possible from the material to create a sun for her art project. What is the area of the felt circle? Use 3.14 for pi. Round to the nearest hundredth if necessary.

I wasn't sure if I am to find the area of the circle through finding the area of the square or what steps we needed to follow to find the answer. Once I can see how one is worked out step-by-step, I usually can help them along with questions that are similar.

Answered by Penny Nom.
Four digit combinations from 1-3-4-8-0 2020-03-26
From nancy:
Good evening. I'm in a quandry. Can you help? I would like to know what 4-digit combinations can be derived from 1-3-4-8-0 no repetitions
Answered by Penny Nom.
The center and radius of a circle 2020-03-25
From Riley:
so it says find the center and the radius of the below circle
x^2+(y-6)^2=121

i need help learning how to solve this

Answered by Penny Nom.
A hemisphere and a cylinder 2020-03-23
From Monalizsha:
Wat is the volume and the surface area of the hemisphere and cylinder (both are together) The height is 12cm of the cylinder and the diameter is 6cm
Answered by Penny Nom.
Aaron and Bill's ages 2020-03-12
From Heather:
My granddaughter had this third grade math problem. Aaron is 4 times as old as his brother Bill. In ten years Aaron will be twice Bills age. What are their ages?
Answered by Penny Nom.
Six-digit telephone numbers 2020-03-12
From Lulamile:
What is the probability that a six-digit telephone number has no repeated digits? The telephone number cannot begin with a zero
Answered by Penny Nom.
A times table in base 5 2020-03-11
From Felix:
Design a time table for numbers 1-10 in base 5
Answered by Penny Nom.
Is there an equation to find what percent of 0 is 1? 2020-03-09
From Asher:
Question: Is there an equation to find what percent of 0 is 1.

I remember learning quite a long time ago that the answer inst 0 and it isn't infinity. I'm pretty sure it was something like %=0 approaching infinity or %=1 approaching infinity. And I know it depends what value you assign the numbers i.e. dollars or temperature. Furthermore, is asking "what percent 1 dollar is of 0 dollars" the same question as "what percent profit do you make from selling something worth 0 dollars for 1 dollar."

Thank you for your time and consideration -Asher

Answered by Penny Nom.
Sam and Claudia go on a bike hike 2020-03-03
From Christie:
Sam and Claudia start at the same time on a bike hike of 150 miles. Sam travels 3 miles per hour faster than Claudia and finishes the trip 8 1/3 hours before Claudia. At what rate in miles per hour does Sam travel?
Answered by Penny Nom.
Covering 1 acre, 6" deep 2020-03-02
From Jim:
How many cubic yards does it take to cover 1 acre 6" deep. Thank you Also, can you show me how you determined that answer.
Answered by Penny Nom.
Fireman Fred needs to stay fit 2020-03-02
From Chamundeswari:
How do I explain this problem to a year 3 kid?

Fireman Fred needs to stay fit for his job. He runs 4.5km, 4 mornings, a week . if it takes him 4 minutes and 15 seconds on average to run 1km, how much time does he spend running over 4 weeks?

Answered by Penny Nom.
The volume of a berm 2020-02-28
From jason:
how much dirt is in an 20'w 12't 1350'l berm
Answered by Penny Nom.
A straight line graph 2020-02-26
From Penehafo:
I have a problem of drawing a straight line graph by the equation y=2x-1
Answered by Penny Nom.
The height of an isosceles triangle 2020-02-23
From Reagan:
I need to find the height of an isosceles triangle with a base of 6 and sides of 4 units. How do I find it?
Answered by Penny Nom.
Degrees, minutes and seconds 2020-02-21
From Jonathan:
If a cone has an angle of 22 degrees, when i place it flat on a surface, the new resulting central angle is now at 68.69123834, but how come when i saw it on my friend it say 68 degree and 40 minutes, what is this minute?
Answered by Penny Nom.
30% profit 2020-02-20
From Sidra:
A car dealer bought a car for £7500 and sold it for 30% profit.

For how much did he sell the car?

Answered by Penny Nom.
Multiplication base 8 2020-02-19
From Tamesha:
Let’s count with the symbols 0,1,2,3,4,5,6,7 (base 8)
A). Create a multiplication table for this base
B). Compute the following products using the multiplication algorithm
I). 7605 times 3713
II). 63725 times 40627

Answered by Penny Nom.
The volume of a cylinder 2020-02-12
From Mack:
I need to find how close the actual volume was of a cylinder (with both ends closed) to being optimized. Can you please send step by step response?

Height = 11cm
Circumference = 24.4cm

Thanks,
Mack

Answered by Penny Nom.
Sipping juice from a Tetra Pak 2020-02-11
From Anjhelic:
Karen is sipping juice from a 1 in. by 3 in. by 6 in tetra pack at the rate of 0.5in³/sec. How fast is the height of juice in the pack decreasing?
Answered by Harley Weston.
The area of a triangle from two angles and a side 2020-02-10
From Chinmoy:
How to measure the area of a triangle with two angles and length of the included side known?
Answered by Harley Weston.
A parabolic arch 2020-02-06
From icyy:
how high is the parabolic arch of span 20 feet and height of 16 feet, at a distance 5 feet from the center?
what equation will I be going to use? thank you

Answered by Penny Nom.
The side length of a hexagon 2020-02-05
From Rob:
I have a hexagon that is 8 feet wide how long would the sides be?
Answered by Penny Nom.
What was the original price? 2020-02-01
From Gracie:
If you buy something for $6.30 and it’s 30%off what was the original price?
Answered by Penny Nom.
A system of inequalities 2020-02-01
From Isaac:
Austin has x nickels and y dimes, having a maximum of 15 coins worth a minimum of $1 combined. No more than 4 of the coins are nickels and no less than 11 of the coins are dimes. Solve this system of inequalities graphically and determine one possible solution.
Answered by Penny Nom.
Translation by a vector 2020-01-30
From Jude:
M(3,-2) is the image of the point M under a translation by the vector (-5,2). Find the coordinates of M
Answered by Penny Nom.
A question about fractions 2020-01-26
From Awotile:
A fraction whose denominator is more than the numerator is double when the numerator is increased by 6 and the denominator is increased by 5 find the original fraction?
Answered by Penny Nom.
A point on a line 2020-01-25
From Samved:
The line 3x/5 - 2y/3 + 1 = 0 contains the point (m, 2m-1). Calculate the value of 'm'.
Answered by Penny Nom.
The volume of a coffee cup 2020-01-25
From Amirah:
What is the volume of a polystyrene cup with a height of 8cm, diameter of 5cm at the top and 4cm at the bottom when it is filled with water?
Answered by Penny Nom.
gcd(a^2 + b^2, a + b) 2020-01-19
From Roger:
I am stuck with this problem: find the gcd(a^2+b^2, a+b), where a & b are relatively prime integers not both zero.
Answered by Penny Nom.
Filling a 48 cubic meter tank 2020-01-19
From kamohelo:
An empty tank for storing water from a borehole has a volume of 480m3 if it is filled by a pump that pump water at a rate of 16L/s how many hours will it take the pump to fill this tank
Answered by Penny Nom.
The angle of a countersunk screw 2020-01-19
From Barbie:
I need to be able to verify the angle used for the head of a countersunk screw.
I have the diameter of the head, diameter of the shank and height between the two. I assume it would be considered a frustum.
For example:
A standard 90 degree metric flat head screw in an M2 diameter has a head diameter of 3.65mm, the actual thread diameter is 1.98mm and the height of the head is 1.20mm.
How can I prove that it is a 90 degree angle?

Answered by Harley Weston.
Investigating y = (-2)^x 2020-01-13
From Gonzalo:
This is not precisely a maths question, but it is formulated based on my maths curiosity. Fidgetting with my new graphic calculator, I started graphing things and had the idea to graph $y=(-2)^x.$ The result surprised me, and I thought a little bit about it, stored it on the back of my brain, and promised myself to look deeper into it someday.
Answered by Harley Weston.
What is the smallest 4 digit number? 2020-01-10
From Ullas:
What is the smallest 4 digit number?
Answered by Penny Nom.
The difference between two number is 7 2020-01-07
From Jaypercey:
the difference between two number is 7 find the two number if the larger 3times the smaller
Answered by Penny Nom.
What do you call a 43-sided polygon? 2020-01-06
From Alniko:
What do you call a 43-sided polygon and what is its interior angle's total measure?
Answered by Penny Nom.
The equation of a line 2020-01-05
From coco:
Good afternoon If relationship between total cost and the number of units made it linear ,and if costs increases by 7$ for each additional unit made ,and if the total cost of 10 units is 180$ .
Find the equation of the relationship b/n total cost (Y) & number of unit made (x).

Answered by Penny Nom.
Dividing the tips 2020-01-02
From Pat:
trying to figure out division of tips I have 3 full time employees 40 hrs a week and 1 part time worker 12 hours a week what percentages do i give them to give them appropriate tips :-)
Answered by Harley Weston.
A circle, a point, and a tangent line 2019-12-31
From Faisal:
A circle has radius 10 units and passes through the point (5,-16). The x-axis is a tangent to the circle. Find the possible equations of circle?
Answered by Penny Nom.
Sabrina's age 2019-12-31
From Nakyi:
The sum of Sabrina’s age and twice her sister’s age is equal to their mom’s Age. If Sabrina’s sister is two years older than her and their mom is 37, how old is Sabrina?
Answered by Penny Nom.
81^5 as a power of 3 2019-12-29
From NA:
How do we turn 81^5 into the power of 3?
Answered by Harley Weston.
A scale drawing 2019-12-28
From Boris:
If the scale drawing of a car park is drawn to a scale of 1cm representing 7m and the car is 133m by 93m, find the length of the drawing
Answered by Penny Nom.
Partitions of a set 2019-12-21
From Ghani:
1. Are set partition "sets"?

2. If they are so then, why are both {{a}{b,c}} and {{a,b}{c}} said to be valid partitions
of A ={a,b,c} despite them having different elements?

(I understand that set are equal if they have the exact same elements).

Thank you!

Answered by Harley Weston.
10 miles in 2 minutes 2019-12-20
From james:
how fast would you be traveling to go 10 miles in 2 minutes?
Answered by Harley Weston.
Volume of a tree 2019-12-19
From Maria:
I have trees for sale. I need to calculate the volume of a tree from base which is wider than the stem.The base will be used for the making of hurleys, similar to hockey sticks so the wider base is crucial.
Answered by Penny Nom.
Odds 2019-12-16
From Craig:
I’d like to know what are the odds of a lotto machine giving out a specific 4 digit number as a quick pick?
I know there are 10,000 possible 4 digit combinations. So let’s say the number is 3587 what are the odds the lotto machine spits it out EXACTLY that way on a quick pick?

Answered by Penny Nom.
Input and output of a function 2019-12-16
From Destanie:
What is the output if the input is -1???
Answered by Penny Nom.
Some questions about sets 2019-12-15
From M.Azzi:
Hello, (I) - In set theory can a given set contain both elements and subsets, as "elements", as in : A = {1,2,{},3,{{3}},8}

If yes :
1 - then, is |A| = 6 ?
2 - if the empty set is a subset of every set,
2. 1. does {} = {{}}, {{{}}} etc? , and if the is true what are the respective cardinals of the latter three? (0,1,1?).
2 . 2. Why isn't {1} equal to {{},1}? and why should these two be equal without having the same cardinality?

Sorry if my questions are not well expressed.

Thank you for the great service you provide.

Answered by Harley Weston.
More on lampshades from a cone 2019-12-14
From Guy:
from an earlier post re; lampshade from a cone
Being math ignorant I cannot figure out how this equation makes sense

\[\frac{2\pi \times 33 - 2\pi \times 20}{2\pi \times 33} = \frac{13}{33}\]
imagine these as fractions multiplied by 360 to calculate a section of a circle to form a cone
Thx

Answered by Penny Nom.
A function problem 2019-12-12
From akash:
if (2,1) is on the f(x), what is the coordinate of the corresponding point of -2(f(2x-6)+5?
Answered by Penny Nom.
Guess and check 2019-12-11
From Mariajosé:
brian bought 98 stickers. the number of stickers per sheet was 2 times as large as the number of sheets. how many sheets did brian buy
Answered by Penny Nom.
The fencing needed for a square pasture 2019-12-10
From Penny:
I'm trying to calculate how many feet of fence I will need to fence a 4 acre square pasture.
Answered by Harley Weston.
Strings made from three characters 2019-12-10
From Kelley:
Hi,

I vaguely remember some formula for determining all the possible combinations of a set of numbers (or whatever).

If I have 3 numbers (0 - 2), then I have 0, 1, 2, 00, 01, 02, 10, 11, 12, 20, 21, 22, 000, 001, 002, 010, 011, 012, 020, 021, 022, 100, 101, 102 and so on.

What is the formula for determining all potential results?

Thank you!!

Kelley

Answered by Penny Nom.
The equation of a line 2019-12-10
From Jourdan:
Suppose a mining company will supply 96000 tons of ore per month if the price is 80 dollars per ton but will supply 70500 tons per month if the price is 20 dollars per ton. Assuming the supply function is of the form y = m x + b , find the slope, m and y-intercept, b
Answered by Penny Nom.
Roll two dice and record the difference 2019-12-09
From Barbara:
Suppose you roll two dice 100 times. Each time you record their difference (always subtracting the smaller one from the bigger one to get a positive difference). The possible values you get are 0,1,2,3,4 and 5. You record the frequency of each value in the following table:
Difference of two dice 0 1 2 3 4 5
Observed frequency 12 31 26 13 10 8
Let your null hypothesis be that the dice are fair, and the alternative hypothesis be that they are not fair. Using a confidence level of α = 0.10, test the null hypothesis by a goodness-of-fit test.

Hint: begin by
completing table:
x 0 1 2 3 4 5
f(x)

Answered by Penny Nom.
Two people are clapping their hands 2019-12-06
From Yukti:
Two people are clapping their hands, but with different frequencies. Ramya claps her hands 17 times per 3 minutes, and Kumar claps his hands 31 times per 5 minutes. They start clapping at the same time. How many times does each one clap before they clap together at the same time again?
Answered by Penny Nom.
3/8 and 0.375 2019-12-05
From Zamyiah:
how does 3/8 turn into 0.375 i just don't understand it the question is hard. please answer in time thank you for your time.
Answered by Penny Nom.
Sigma notation 2019-12-04
From Kenneth:

What would be used for the top and bottom indices for the sigma sign in my example shown below?
If the amounts were 1 + 2 + 3, the top index would be 3 and the bottom would be i = 1, but if the amounts are 1 + 2 + 4, or 1 + 0.05 + 1/3, what would the indices be since these amounts are in an uneven pattern.

I thank you for your reply and explanation


Answered by Harley Weston.
Combinations of cities 2019-12-03
From Oliver:
Hi! I'm looking to find out how many combinations (non repeating) there are for 6 cities.
If we name the cities A to F, possible combinations would include;
A.
A, B.
B.
A, B, C.
A, C.
B, C.
C.

and so on.
Thank you!

Answered by Penny Nom.
Two digit numbers 2019-12-03
From Lacy:
Using the digits zero through nine, how many two-digit numbers can be formed,which do not have a four or five?
Answered by Penny Nom.
The area and volume of a wedge 2019-11-30
From Jasmine:
what is the volume and surface area of a wedge with definition
Answered by Penny Nom.
An exterior angle of a parallelogram 2019-11-29
From A student:
one angle of a parallelogram is four times the measure of the exterior angle adjacent to it. find the interior angles
Answered by Penny Nom.
Caleb age and Juliet age add up to 25 years. 2019-11-22
From tolulope:
Caleb age and Juliet age add up to 25 years. eight years ago,Caleb was twice as old as Juliet. how old are they now.
Answered by Penny Nom.
The length and width of 1 1/3 acres 2019-11-22
From Ben:
I’m trading to figure out what the length and width of 1 1/3 of an acre would be in a rectangle or in a perfect square
Answered by Penny Nom.
cos (3pi/2 -x) 2019-11-20
From sam:
1. express the following as a trigonometric function of angle x for cos (3pi/2 -x) the answer in the textbook is -sin x but i am unsure of the process to get the answer.
Answered by Penny Nom.
A four person race 2019-11-19
From Juvy:
Ben finished seven seconds ahead of Mike.
Noel finished three seconds behind of Sam.
Mike finished five seconds behind Noel.
In what order did the friends finish the race?

Answered by Penny Nom.
A hexagonal planter 2019-11-19
From Colleen:
I need to build a hexagon planter around a 32” square box. How long is each side of the hexagon?
Answered by Penny Nom.
Beginning algebra 2019-11-19
From Maya:
Two numbers have a sum of 57. Three times the first number is 13 less than the second number. Find the numbers.
Use let statements to help you solve. (Grade 9 math)
-Maya (help would be appreciated)

Answered by Penny Nom.
The product of 3 integers is -24 2019-11-06
From Rick:
This is a question on my sons pre-ap practice quiz. I think that there is information missing (?)

The product of 3 integers is -24
The sum of 3 integers is -12
What are the 3 integers ?

This is exactly how it was written on his quiz paper. I have wasted to much time on the internet, trying to find a formula(s) to help him.
Please help me.

Answered by Penny Nom.
The sum of the ages of Ruth and her mother is 77 years. 2019-11-06
From Lydia:
The sum of the ages of Ruth and her mother is 77 years. The difference in their ages is 27 years. How old is each?
Answered by Penny Nom.
Algebra 2019-11-06
From Krizhia:
How is y= 1/2 * (x-1)² be x= √2y + 1. Please show me the steps
Answered by Penny Nom.
Bearings 2019-11-05
From Deborah:
three ships p q and r are at sea. the bearing of q from p is 30° and the bearing of p from r is 300°. if |PQ|=5km and|PR|=8km
I.illustrate the information in a diagram
II. calculate correct to 3sf the I. distance between Q and R. II. bearing of R from Q

Answered by Penny Nom.
Increasing your average mark 2019-11-01
From Elena:
After 9 weeks Mikayla has an average ark of 5 out of 10 in the weekly spelling tests. What is the minimum number of extra weeks now required to raise her average to 7?
Answered by Penny Nom.
Liza works for a call center 2019-10-31
From Timothy:
Liza knows that in the long term, she has a 65% chance of making a sale when calling on customers. One morning, he makes Six calls.
a. What is her probability of making three calls?
b. What is her probability of making sales fewer than three?

Answered by Penny Nom.
The divisors (aliquot parts) of a positive integer 2019-10-31
From Kenneth:
Is there a fast and simple method that can be used to determine the aliquot parts, whole, positive numbers that can divide into another whole, positive number?
Answered by Harley Weston.
Alex rents a car for one day 2019-10-31
From Arshia:
Alex rents a car for one day. The charge is $25 plus $0.20 per mile. Alex wants to spend exactly $110. How many miles can he drive?
Answered by Penny Nom.
The largest integer k so that that 3335^k is a divisor of 3336! 2019-10-29
From Brandon:
Hello my name is Brandon and I having difficulties in solving the following question: Given the number 3336! = 1.2.3.4........................3336 . What's the greater positive integer number k with the condition that 3335expk is a divisor of 3336!
Thanks for your help.

Answered by Penny Nom.
Even 5 digit palindromes 2019-10-24
From daniel:
How many palindromes of 5 digits are even?
Answered by Penny Nom.
The center of a circle 2019-10-24
From Patrick:
I'm trying to find a quick calculation to find the center of the circle that will touch the 3 points of an isosceles triangle.
Known dimensions are length of the triangle base and the height from the top point to the middle of the base.
Thanks in advance,
Kind regards,
Patrick

Answered by Penny Nom.
How many numbers from the set have the sum of its digits equal to 2? 2019-10-24
From Marcel:
Hello. My question is the following: Given the set {1,2...........10exp2019}, how many numbers from the set have the sum of its digits equal to 2?
I got some of them : 2 20 200 2000 20000 .......2. 10exp2018 11 110 1100 11000 110000....101 1010 10100 101000 1010000....10011 10010 100100 1001000 1010000.....10001 100010 1000100 10001000,,,,,,100001 1000010 10000100....... My problem is that I have difficulty in finding a strategy to obtain the exact quantity of numbers.
Please help me, thanks

Answered by Penny Nom.
The perimeter of a piece of a circle 2019-10-18
From Arwin:
The radius of a circle is 17 cm. A chord XY lies 9 cm from the centre and divides the circle into two segments. Find the perimeter of the minor segment.
Answered by Penny Nom.
The domain of f + g 2019-10-16
From Angel:
The domain of f+g when f(x)=8x+3 and g(x)=1-5x
Answered by Penny Nom.
How do you find the length and the width if all you had was area? 2019-10-16
From Ali:
So, How do you find the length and the width if all you had was area?
Answered by Penny Nom.
Simultaneous equations 2019-10-16
From deepak:
This is too complicated please help me
8/x - 10/y = 1 and x+y=9

Answered by Penny Nom.
The difference of two numbers is 42 2019-10-14
From Patrick:
The difference of two numbers is 42 and the larger number is 8/5 of the smaller number. Find the two numbers.
Answered by Penny Nom.
Arranging 10 digits 2019-10-09
From Laxmi:
1)The integers 0 to 9 are arranged along a straight line in some order.a) find a possible arrangement in which the sum of any three adjacent numbers is less than 15.b)is there an arrangement of this kind 0 is not included in the numbers.
Answered by Penny Nom.
A binomial probability question 2019-10-08
From venni:
The Medassist Pharmaceutical Company receives large shipments of aspirin tablets and uses this acceptance sampling plan: Randomly select and test 24 tablets, then accept the whole batch if there is only one or none that doesn’t meet the required specifications. If a particular shipment of thousands of aspirin tablets actually has a 4% rate of defects, what is the probability that this whole shipment will be accepted?
Answered by Penny Nom.
Four fours 2019-10-03
From Irene:
Using number 4, four times with any equation and the answer will be -2 and -5
Answered by Penny Nom.
The binomial distribution 2019-10-01
From PY:
An on-line game called ‘Shop Quiz’ is held by an e-commerce platform, from Monday to Friday every week. It consists of 8 multiple choice questions (MCQ) and each question has four options (A, B, C, D). Only one option is the correct answer. People who are able to correctly answer all 8 questions are winners and will be awarded a number of on-line shopping credits. Let X represent the number of questions that a person can answer correctly in a ‘Shop Quiz’.

1) Explain why Binomial distribution might NOT be a suitable distribution for the random variable X.

Mr. Saul likes playing the quiz, however, he is afraid that he might not have the necessary knowledge to answer the quiz questions. (The quiz questions cover a variety of topics including science, history, entertainment, sports and geography, etc.) Therefore, he tries to win the game by simply guessing the answers to each question.

Answered by Penny Nom.
Four less than three times a number is 20 2019-09-29
From Linda:
four less than three times a number is 20,what is the number?
Answered by Penny Nom.
Fractions and negative powers 2019-09-22
From Will:
-2/3 to the -6 power
Answered by Penny Nom.
Bearings 2019-09-22
From Jean:
X is due north of Y and 2km distant. Z is due east of Y and has a bearing of S35°12'E from X. How far, to the nearest metre, is Z from X? Will you help me solve this problem?
Answered by Harley Weston.
The volume of a fire hose 2019-09-18
From Carlou:
How many liters of water in a 2.5 inches diameter of fire hose with a 20 meters in length
Answered by Penny Nom.
4" x 4" square tiles 2019-09-18
From Jill:
how many 4" x 4" square tiles would I need for 50 square feet?
Answered by Penny Nom.
Why does the circle have a larger area? 2019-09-16
From A student:
given a circle and square of same perimeter, why does the circle have a larger area

I’m looking for an intuitive explanation rather than a computational one. Thanks

Answered by Harley Weston.
Mandy walks to work 2019-09-15
From Kenneth:
Mandy walks to work at a constant rate. One-third of the way to work, she passes a bank. Three-fourths of the way to work, she passes a book store. At the bank her watch reads 7:52 A.M., and at the book store it reads 8:02 A.M. At what time is Mandy one-half of the way to work?
Answered by Harley Weston.
A one foot rise in water level 2019-09-15
From Stuart:
If a lake were to rise one foot - how many linear feet would it spread onto the shore line ? What is the correlation - 1 foot of a rise = 10 feet onto the shore ? Does it depend on the lake size - if so Lake Ontario in Canada.
Answered by Penny Nom.
The amount of concrete in a foundation 2019-09-11
From Lorinda:
How do you calculate ( in cubic yards) how much concrete is needed for the foundation of a rectangular building 40 ft by 85 ft if the foundation walls are 8 inches thick and 7 ft 6 inches high?
Answered by Penny Nom.
What is -5 squared? 2019-09-10
From Pori:
What is -5 squared?
Answered by Penny Nom.
The number of integers that satisfy some conditions 2019-09-10
From Ryu:
Using only the digits 0 1 2 3 4 5 6 7 8 9 without repetition, how many integers are:
(a) Greater than 999, less than 10,000, start with an even digit and are even?
(b) Greater than 999, less than 10,000, start with an odd digit and are odd?
(c) Greater than 999, less than 10,000, start with an even digit and are odd?
(d) Greater than 999, less than 10,000, start with an odd digit and are even?

Answered by Penny Nom.
Problem solving 2019-09-08
From Arunsi:
When a fifth of a certain number is added to 3 the result is 17. What is the number?
Answered by Penny Nom.
Vectors 2019-09-06
From Kayla:
Hi! Due to time constraint issues, we skipped vectors in Pre-Calc last year. However, I'm attempting to complete my AP Physics summer homework and there are 3 problems with vectors. As I explained, I have no idea even where to begin and as such I need some help.

Problem 1:
A plane flying at 90° at 45 m/s is blown toward 0° at 62 m/s by a strong wind. Find the plane's resultant velocity. I have tried all sorts of online calculators but none are providing me with a formula I can use to solve this problem on my own.

Problem 2:
If you walk 367 m North and 785 m West what is your total displacement from your original location?
What is the problem asking for when it says displacement?

Problem 3:
A plane travels on a heading of 127.0° at a velocity of 25 km/hr. What are the horizontal and vertical components of the plane's velocity? As you know already, I have never done vectors so I don't know what horizontal and vertical components of velocity are.

Thank you So Much for your help!! I am struggling!!

- Kayla

Answered by Penny Nom.
Using the Laws of Exponents 2019-09-06
From Samiya:
i have been struggling with the laws of exponents so im having trouble with this question. the question is to write (b*exponent2*c)(b*exponent5*c*exponent4*)
Answered by Penny Nom.
Average savings 2019-09-06
From Puchu:
A student was saving an average of £2 per week for 25 weeks. He then found a part time job and after total of 45 weeks his average savings rose to £9 per week How much did he save over 20 weeks after finding job?
Answered by Penny Nom.
The volume of a berm 2019-09-06
From John:
I need to construct a berm:
8' tall
5' across the top
20' at the base
125' long
How much soil will I need

Answered by Harley Weston.
How was math created? 2019-09-03
From Phu:
How was math created?
Answered by Harley Weston.
A negative minus a negative 2019-09-03
From Maggie:
Why is a negative minus a negative a negative?
Answered by Penny Nom.
Can one equation with two variables be solved algebraically? 2019-08-30
From Don:
Can one equation with two variables be solved algebraically?
Answered by Penny Nom.
400 in 7.5 billion 2019-08-28
From Emma:
What is a better way to express 400 in 7.5 billion? My daughter has a rare condition, I want to know the answer to say “she is 1 in a ...”
Answered by Penny Nom.
David Is 6 years older than his sister Delia 2019-08-27
From Abigail:
David Is 6 years older than his sister Delia. In 10 years the sum of There age 52. how old are David and Delia today
Answered by Penny Nom.
A flat top cone 2019-08-25
From Mary:
I want to make a paper model of a flat top cone with the radius of the base is 12.5 cm and the radius of the apex is 7 cm.The height is 15 cm and the radius of the apex is 5 cm. The height is 15 cm.
Can you help me with the angle and construction, please?
Thanks.

Answered by Penny Nom.
The length of half an acre 2019-08-23
From Angeles:
How many Feet Long In Half An Acre (Rectangle)
Answered by Penny Nom.
A problem with logarithms 2019-08-23
From Iriogbe:
Find the value : if log3 (a-6) =2b and log2 (a-7) =3b
Answered by Penny Nom.
The average height of a wall 2019-08-15
From Jeff:
Trying to figure the average height of a sloped foundation wall.
The lowest point is 24 inches or 2 feet.
The highest point is 116 inches or 9’ 8 inches.
Can this be figured without the degree of slope or can we assume it is Equaled sloped from point a to point b. Thanks

Answered by Penny Nom.
The area of a shape 2019-08-14
From Lymp:
Hi, for math we are calculating the area of shapes and my teacher wanted me to research how to calculate the area of shapes so i was wondering if you could tell me how t calculate the area of any shapes. Please tell me how to calculate a cross, parallelogram and a polygon
Answered by Penny Nom.
A cone of maximum volume 2019-08-14
From Refilwe:
The slant height of a cone is 10cm. Determine the radius of the base so that the volume of the cone is a maximum
Answered by Penny Nom.
The radius of a circle of given area 2019-08-14
From shelby:
What's the radius of a circle that has an area of 803.84cm2? I also need examples of how you got the answer.
Answered by Penny Nom.
Conversing from tons to cubic yards 2019-08-03
From Kathleen:
Is there a simple formula to convert the following from tons to cubic yards:
Topsoil
Sand base
Fill dirt

Answered by Penny Nom.
Filling a hole 2019-08-01
From Jackie:
Filling a hole 25ft round 3ft deep how much dirt is needed?
Answered by Penny Nom.
A combination lock 2019-08-01
From markbo:
A combination lock has 0-9 plus Y on its keypad. A code is generated by selecting 4 digits from those keys (0-9 and Y) with no repeated choices, but sequence does not matter
(i.e. 1-2-3-4 is the same as 4-3-2-1, and the same as 3-4-1-2 and counts as one combination)

How many different 4-digit codes are possible in this scenario?

Answered by Penny Nom.
Combination lock 2019-07-31
From Antony:
Hello.
So my 3yr old daughter has had a bit of a play with the 3 dial combination lock on my backpack and locked it closed.
I am looking for all the possible combinations to go through a process of elimination to find the combination she has set.
To be clear. There are three dials, each with the numbers 0-9. I have read 10x10x10=1000 options but not sure if that is correct .. feels too small?
Many thanks in advance.

Answered by Penny Nom.
Six digit numbers from 4 digits 2019-07-30
From Tab:
How many six digit combinations can be made from the numbers zero, two, five, eight? With repetition of numbers
Answered by Penny Nom.
The volume of a well 2019-07-30
From Jordan:
How much water could my well hold if the depth of the well is 30 feet feet and the diameter of the well is 24 feet ?
Answered by Penny Nom.
A problem involving ratios 2019-07-24
From Dhanendra:
A plot reserved for playground in the ratio of length and breath 11:4 gram panchayt spends rupees 45000 for boundary at the rate of 100 per m. Find the dimensions of the plot.
Answered by Penny Nom.
Packing chocolates in boxes 2019-07-22
From CHESKA:
1.levy can pack the chocolate bars either with 35 bars in a box,with 42 in a box, or with 49 in a box. what is the least number of chocolate bars that he has?
2. the blue light of a Christmas light blinks every 2 second. the red light blinks every 3 second and the yellow light blinks every 5 second. how many times will the three lights blink at the same tims in one hour?
3.a wooden straightedge can exactly measure an 825 cm rope, a675 cm rope, and 375 cm rope. what is the least possible length of the straightedge? how many times will it measure each rope?

Answered by Penny Nom.
Listing three digit combinations 2019-07-17
From Larry:
Using numbers 0-9, what are all the possible combinations of choosing 3 numbers regardless of order and no 3 numbers being used more than 2 times in the combination. So no 1,1,1, 2,2,2, 3,3,3 etc. Order does not matter. Could you please send me a listing of all those combinations?
Answered by Penny Nom.
Three digit codes 2019-07-14
From Jessica:
I need to find the total number of 3 digit codes using the digits 1 through 9. How many of these codes would be odd numbers, and how many even?
Answered by Penny Nom.
The maximum volume of a cone 2019-07-14
From A student:
find the maximum volume of a cone if the sum of it height and volume is 10 cm.
Answered by Penny Nom.
A three digit code 2019-07-14
From Hannah:
I have a briefcase with a three-digit code. I can set the code myself using digits 1 through 9, assuming that each digit can only be used once. How many possible codes are there?
Answered by Penny Nom.
Volume of a spherical cap 2019-07-12
From Shanto:
In a jar of water, we kept a sphere with radius r. Then 75% of its volume went under water. Find out the distance of the top of the sphere from the surface of the water.
Answered by Penny Nom.
Price per square meter to price per square inch 2019-07-09
From Al:
If something costs $2.5 square meter, how much would it cost in square inches? How do i convert costs per square inch, into square meters?
Answered by Harley Weston.
Order of operations 2019-07-06
From Carri:
What is the answer (( 5 × 12) / 3 ) + 30 - 50
Answered by Penny Nom.
Distance traveled 2019-07-03
From J:
If a fly flies at 15 feet per a second between two walls closing in upon themselves. Wall A is moving to the right at 3 feet a second and wall B is moving to the left at 15 feet a minute, how far will the fly fly before the walls touch?
Answered by Penny Nom.
Forty foot and 9 spacers 2019-06-28
From Christopher:
Ok I've got forty foot and 9 spacers one each end and 7 between what is the distance between the seven in the middle
Answered by Penny Nom.
One part in 10^x 2019-06-26
From Jim:
What is the meaning of the phrase ‘one part in 10x” where the x is an exponent? I have seen these examples: “...better than one part in 10x” and “...to within one part in 10x.”
Answered by Penny Nom.
The volume of a frustum 2019-06-24
From Abdulganiy:
A right pyramid on a base 10cm square is 15m high
a)find the volume of the pyramid
b)if the top 6m of the pyramid is removed what is the volume of the remaining frustum?

Answered by Penny Nom.
How many cubes are in a 3x3x3 cube? 2019-06-24
From Darren:
Dear Sir/Madam, How many cubes of different sizes (eg. 1x1x1, 2x2x2, 3x3x3) are there in total in say, a 3x3x3 cube? I have trouble figuring this out.

Yours faithfully,
Darren

Answered by Penny Nom.
The area of a patio 2019-06-23
From Miguel:
Stephanie has 60 feet of metal fencing material to only fence 3 sides of a rectangular patio. A tall metal wall serves as the fourth side of the rectangle. write a function for the area the garden (A) in terms of width in feet (x) What measures of the width would give an area of at least 150 feet?
Answered by Penny Nom.
The area of a triangle in acres 2019-06-23
From Karen:
if I have a triangle that measures 78 ft x 54 ft x 50 ft, how do I figure out what part of an acre that is??
Answered by Harley Weston.
What are the next three terms? 2019-06-18
From Shriya:
-6, -2 , 2, 6,10 what are the next three terms?
Answered by Penny Nom.
A tube through a board at 45 degrees 2019-06-15
From Guy:
I need to insert a tube 5/8" diameter into a board at a 45 degree angle. What size hole must I drill for the tube to fit snugly?
Answered by Harley Weston.
The perimeter of 200 acres 2019-06-14
From AARON:
How many feet is the perimeter of 200 acres?
Answered by Penny Nom.
Yards, feet and gallons 2019-06-12
From Ralph:
How many gallons of water in a 10 yard by 10 yard container 2 1/2 feet deep?
Answered by Penny Nom.
150 litres has been drawn from a tank 2019-06-12
From Eke:
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.
Conversions, feet, kilometers and acres 2019-06-10
From Erika:
A lake has 113 feet deep and an area of 115 acres, what is the volume of the lake in cubic kilometer?
Answered by Harley Weston.
Finite and infinite sets 2019-06-10
From Pretzie:
What is Finite Set & Infinite Set?
Answered by Penny Nom.
Two power generators 2019-06-07
From A student:
At 100% efficiency two generators would produce 750 MW of power. At efficiencies of 65% and 75%, they produce 530 MW. At 100% efficiency, what power would each produce?
Answered by Harley Weston.
A car drives over a cliff 2019-06-06
From Victor:
A car was going 90 mph towards 90foot drop. What would the distance would the car travel horizontally ,from the cliff edge?
Answered by Penny Nom.
An inline lock with four rows 2019-06-05
From Edward:
I have a inline lock with four rows of numbers 0-9.The numbers cannot be repeated. Can you please print the possible codes so I can go through them one at a time. The lock and the cable cost $300. Don't want to pitch it. You guys are lifesavers, can't wait to hear back. Thanks.
Answered by Penny Nom.
3 digits from 7 digits 2019-06-02
From Corban:
HOW MANY COMBINATION ARE THERE USING 3 DIGITS NUMBERS ONLY 1-7
ie 137 731 317 456 654 123 321 248

Answered by Penny Nom.
How many lines of symmetry does a circle have? 2019-05-28
From raji:
how many lines of symmetry does a circle have???
Answered by Penny Nom.
Compound interest 2019-05-28
From Kenneth:
Hello:

Is compound interest on $1.00 for one year the same as simple interest on $1.00 for one year?

Compound interest would be $1.01, and I believe the same amount would be the same at simple interest.

Answered by Penny Nom.
Maximize monthly revenue 2019-05-23
From a student:
A real-estate firm owns 100 garden type apartments. At RM400 per month, each apartment can be rented. However, for each RM10 per month increase, there will be two vacancies with no possibility of filling them. What rent per apartment will maximize monthly revenue?
Answered by Penny Nom.
Two circles 2019-05-23
From Arman:
Two concentric circles have their centres at point C. The radius of the smaller circle is 8 cm. The length of chord AB is 26 cm and is tangent to the smaller circle. What is the circumference of the larger circle?
Answered by Penny Nom.
Do all angles have to be equal to a number? 2019-05-15
From Malik:
Do all angles have to be equal to a number? By all angles I mean adjacent, vertical, supplementary, complementary.
Answered by Penny Nom.
What is the original price? 2019-05-15
From Tyler:
if 45% of an item is $90.00, then what is the original price
Answered by Penny Nom.
An 80 acre square 2019-05-11
From Linda:
How long and wide is an 80-acre piece of land that is square?
How long and wide is a 160-acre piece of land that is square?

Answered by Penny Nom.
Pennies, nickels, dimes, and quarters 2019-05-09
From william:
Ann has 177 coins (pennies, nickels, dimes, and quarters)
Her total value is $19.90
She has the same number of nickels as dimes.
She has the same number of quarters as dimes.

How many of each does she have?

Answered by Penny Nom.
Subdividing land 2019-05-09
From Reuben:
This is the measurements of my plot, A-B 46.7M, B-C 193.1, C-D 198.5 & D-A 208.25 (Clockwise naming of sides) angle A at 90 degrees. My questions is how do i subdivide this plot from the bottom having lines running parallel to C-D, eg two 2acre plots. the the remaining part becomes my compound (Uper part at line A-B)
Answered by Harley Weston.
The volume of a wall 2019-05-08
From Peter:
I’m building a dry stack stone wall which is 36” wide at the base, 42” tall and 24” wide at the top. What would be the volume for a 36” long segment ?
Thanks, Peter

Answered by Penny Nom.
Why Mean? 2019-05-08
From Jill:
A group of teachers were trying to figure out why the”mean” is called mean - do you know??
Answered by Penny Nom.
Two numbers 2019-05-03
From fds:
The difference of two numbers is 2, and their sum is 4. What are the two numbers?
Answered by Penny Nom.
Volume and Surface area of a sphere 2019-05-03
From Caitlin:
Why does the surface area formula of a sphere have a squared radius while the volume of a sphere has a cubed radius?
Answered by Penny Nom.
A repeating decimal divided by a whole number 2019-05-01
From Emily:
How do you divide repeating decimals by whole numbers?
Answered by Penny Nom.
If 45% of an item is 90.00 2019-05-01
From Gavin:
If 45% of an item is 90.00 what is the original price?
Answered by Penny Nom.
A hemispherical bowl 2019-04-29
From Innocent:
Abc is the section through a hemispherical bowl centre O radius 15cm. It contains water whose maximum depth is 8cm. What is the width of the water surface?
Answered by Penny Nom.
A circle inscribed in a triangle 2019-04-28
From Daksh:
O is the centre of the inscribed circle in a 30°-60°-90° triangle ABC right angled at C. If the circle is tangent to AB at D then the angle COD is-
Answered by Penny Nom.
A dot on a child's car wheel 2019-04-28
From julia:
A wheel of a child’s car revolves at 10 rpm. A painted dot on the circumference of the wheel is 12 cm from the centre of rotation of the wheel. How far does the dot travel in 5 s, to one decimal place?
Answered by Penny Nom.
The length of an arc 2019-04-28
From Patrick:
If an arch is 48 inches wide at the base and 30 inches tall at its apex, what is the length of the arch?
Answered by Penny Nom.
A thread around a cylinder 2019-04-28
From Ally:
A cylinder has a diameter of 3.5 cm. How many times will a thread 143mm go round the cylinder?
Answered by Penny Nom.
Two linear equations with a fraction 2019-04-26
From Asha:
2x=-3y …1
x-2+-4/3(y+1) ...2


note: … is equation

Answered by Harley Weston.
Constructing a hexagonal pyramid 2019-04-25
From REBECCA:
I'm doing a project for my Honors Geometry class and I have to build a regular hexagonal pyramid. I was given the volume of .75 gallons, but I don't know how to figure everything else out. Please help?
Thanks,
Rebecca

Answered by Harley Weston.
Three friend's ages 2019-04-25
From Lemicio:
Janet is 10 years older than Karin, who is twice the age of Josef. If their combine age is 55, how old is each one now?
Answered by Penny Nom.
80% of an item is $200.00 80% of an item is $200.00 2019-04-25
From kayla:
if 80% of a item is $200.00 what is the original price
Answered by Penny Nom.
Is every rectangle a rhombus? 2019-04-25
From Danny:
Is a rectangle a rhombus??? True or False
Answered by Penny Nom.
The area of a triangle 2019-04-25
From troy:
The base and the height of a right triangle are represented by the expressions below. The area of the triangle is 28 square units. Find the lengths of the base and the height of the triangle

base= x+4
height=x-6

Answered by Penny Nom.
(3d) Whether line segment intersects triangle 2019-04-13
From rj:
Well hello,

Lets say I have a triangle,

Not any ordinary triangle, but a triangle that is represented in 3 dimensions. I also have a line segment.

Lets say that this triangle has points A(0,0,0), B(1,0,0), C(0,1,1)

And the line segment has points D(0,1/2,0), E(1,1/2,1)

In what way can I find if the line segment and triangle intersect? Their intersection point?

I don't prefer matrices, because they don't make any sense, but ... if that's the only way to solve this, then do what's necessary.

Thank you in advance.

Answered by Penny Nom.
An equilateral triangle 2019-04-10
From ethan:
In equilateral triangle RST, R has coordinates (0, 0) and T has coordinates of (2a, 0). Find the coordinates of S in terms of a.
Answered by Penny Nom.
More on dominoes 2019-04-09
From B:
A previous answer (http://mathcentral.uregina.ca/QQ/database/QQ.09.00/mark2.html) considered a method to make a line of all 28 dominoes.

Since there are an even number of each value, such a solution can be put into a circle.

Aside from the choice of starting tile, is the solution unique?

Answered by Penny Nom.
The area of a lot 2019-04-06
From Robert:
Can you help me determine the rough square footage of this lot please(attached)? I think it is nearly 7000 square feet. I am sure I need the degrees of of the corners but I don’t have that. An estimate would be all I need. Thank you for you help. Rob
Answered by Harley Weston.
The height of a building 2019-04-05
From Hayley:
A young man is 36 meters away from a building and looking at a bird sitting on top of the building. The man knows he is 85 meters away from the bird. How tall is the building?
Answered by Penny Nom.
4^x=2^x+6 2019-04-05
From Olivia:
How do you find the (b,n) if the solution of the equation 4^x=2^x+6 can be expressed at logb(n) where b and n are both prime numbers?
Answered by Penny Nom.
Salary Plus Commission 2019-04-05
From Herschel:
Fire Fighting Equipment pays salespeople as follows: $452 per week plus a commission of .9% on sales between $15,000 and $25000, with 1.1% paid on sales in excess of $25,000. Find the gross earnings for an salesperson whose Total Sales are $28,400. (No commission is paid on the first $15,000 of sales)
Answered by Penny Nom.
Percentage change in refractive error 2019-04-04
From Ammara:
Hi, I'm trying to figure out how a paper I'm looking at has found a percentage from the numbers below. its a paper comparing two lenses. it says that the new lenses 'slowed the progression of refractive error by approximately 50%'.

the refractive error with the old lenses was -2.26 after two years it was -3.28

the refractive error with the new lenses was -2.24 after two years the refractive error is - 2.75
Thank you so much for your help it is most appreciated!

Answered by Penny Nom.
Internal acute angles 2019-04-02
From karan:
Prove that a convex polygon cannot have more than three acute internal angles.
Answered by Penny Nom.
The volume of a pile of dirt 2019-04-01
From Genevieve:
We have a pile of dirt approximately 6 feet high by 15 feet wide by 80 feet long.
We need to know how many cubic yards of dirt are in this pile. Thank you

Answered by Harley Weston.
Percentages 2019-03-30
From Mari:
I am trying to find out what percentage of our worlds population does the youtuber Pewdiepie have for subscribers? So he has 91 million subscribers and there are roughly 7.53 Billion people in the world. So what percent of our worlds population does Pewdiepie have for subscribers? Am I asking this correctly? I am just curious for marketing reasons and how much of the worlds market share does Pewdiepie have for his youtube channel? I just do not know how to set up the problem to find the answer?
Answered by Penny Nom.
Three letter permutations 2019-03-26
From liliana:
I need to find a three letter permutation using four letters. I have no idea how to do this. Can you help me?
Answered by Penny Nom.
The volume of water in a pipe 2019-03-21
From Abati:
How can I calculate the volume of water in a pipe with below details;

Pipe diameter - 6 inches
Length of pipe - 127meters

Answered by Penny Nom.
A scale factor 2019-03-19
From Miracle:
A man in a photograph is 2cm tall. His actual height is 1.8m. Write a scale statement and determine the scale factor.
Answered by Penny Nom.
Slope and percentage 2019-03-19
From Tom:
I need a slope of 2 Inches every 30 feet what is the percentage to put on my pipe lazer. thank you
Answered by Penny Nom.
The area of a triangle 2019-03-19
From Dylan:
The area of a triangle is 108in squared. A base and corresponding height are in the ratio 3:2. Find the length of the base and the corresponding height
Answered by Penny Nom.
A dice game 2019-03-17
From Remo:
So, little game my kid came up with.

Dice are standard d6.

I roll a die, he rolls a die. If he gets the same number as me OR a bigger number he wins. So far so good. Used the opportunity to get him to calculate the probabilities of him winning, see if I could get him interested into looking at this game from a more academic perspective. He did fine.

Then we upped the ante. He rolls one die, I roll two dice. I his die has a number that is equal or greater than both of mine, he wins.
We had a bit of trouble solving that one, and had to resort to a table with all the results ( 6x36) to figure out where we stood.

Then again we upped. He rolls two dice, I roll two dice. If any one of his dice has a number equal to or greater than both of mine he wins. I only win if one of my dice is greater than both of his. And we got stuck. Figured I would need to find a formula to resolve this one, as our earlier solution ( table everything ) suddenly is 36x36, giving well over a thousand possible results. And if we ever go bigger than that then we *really* are going to need another way to calculate it.

Answered by Harley Weston.
The bearing from C to A 2019-03-15
From Emma:
A is 6km due north of turbine B,
C is 4.5km due west of turbine B
Calculate the distance AC

Then calculate the bearing of C from A
Give your answer correct to the nearest degree

Answered by Penny Nom.
When is John's next birthday on a Friday? 2019-03-15
From Darek:
The question is the following:
Last Friday 4th of April of 2014 John was 40 years old. How old will John be the next time when his birthday fell on Friday?
Thanks for your help

Answered by Penny Nom.
Four consecutive positive integers 2019-03-12
From Nabila:
The product of four consecutive positive integers in 24024
What is their sum?

Answered by Penny Nom.
A circle with a circular hole 2019-03-11
From Sue:
My little one is wondering if a circle with a circular hole could be described as an irregular semicircle.
As it has 2 sides but is not the standard shape. Could you share your thoughts ??

Answered by Penny Nom.
Converting a base six number to base three 2019-03-10
From Nina:
Change 253 in base 6 to a number in base 3
Answered by Penny Nom.
A parabolic curve on a bridge 2019-03-09
From monica:
how do i fint the formula for my parabola with the provided information:
the golden gate bridge has a parabola
(343,160) = coordinate
(0,0)= vertex

Answered by Penny Nom.
A triangle of maximum area 2019-03-07
From Tom:
Triangle ABC is such that AB=3cm and AC=4cm.
What is the maximum possible area of triangle ABC?

Answered by Penny Nom.
Misuse of greater than 2019-03-07
From Kenneth:
I have an old business mathematics textbook. The authors have indicated that the following expressions indicate multiplication:

? is 2/3 greater than 90; ? is 2/3 smaller than 90. They also indicated that the following expression would indicate division: 30 is 2/3 greater than ? and 30 is 2/3 smaller than ?.

How can these phrases indicate multiplication and division? How can 60 be 2/3 greater than 90 and also smaller than 90 as indicated above. What were the authors thinking? I have added the page from the book that indicates what I have explained in my message Kenneth

Answered by Harley Weston.
Random assignments 2019-03-02
From Ninoshka:
Liu and Michi plan to sign up for a drawing class next term. Drawing is offered during the first 4 periods of the day, and students are assigned randomly to class.
What is the probability that Liu and Michi will have drawing together?

Answered by Penny Nom.
3 months loss and then a profit 2019-03-02
From Ida:
Let say, I have 10k of capital and I ran business for 4 months. The first months i loss 50%, the second month i loss 50% and so do the third month. The fourth month my profit is 50%

So can I calculate the balance of money that i have out of my capital?

Answered by Penny Nom.
Double the number of pennies each week 2019-02-28
From Donald:
If I save a penny a week,double it every week,How many weeks will it take to reach 1,000,000 dollars
Answered by Penny Nom.
The top half of a cone 2019-02-27
From danica:
What portion of the height from top that the cone be cut into two equal volume?
Answered by Penny Nom.
4 digit codes 2019-02-27
From Sophia:
How many 4 digit codes can you get out of a numbered key pad ?
Answered by Penny Nom.
A quadratic equation problem 2019-02-26
From Em:
One root of the equation 2x^2 + bx - 24 = 0 is -8. What are the possible values of b and the other root?
Answered by Penny Nom.
f(x + 2) 2019-02-26
From a student:
How do you use f(x) = 3x+1 to determine the transformed function of f(x + 2)?
Answered by Penny Nom.
Weighing stars and hearts 2019-02-25
From Zach:
Two stars and one heart weigh 38 units. One star and one heart weigh 27 units what is the weight of each?
Answered by Penny Nom.
Running around a circular track in opposite directions 2019-02-24
From carmi:
how many times will lita and rose pass each other in 15 minutes if lita and rose start jogging on a 110 meters circular track. they begin at the same point but in opposite direction. lita at 8/3 meters per second and rose at 7/3 meters per second.
Answered by Penny Nom.
Composition of functions 2019-02-24
From Joshua:
Let g(x)=(x)^(2)+x-1 Find such a function f such that (fog)(x)=(x)^(4)+2(x)^(3)-3(x)^(2)-4x+6
Answered by p.
A word problem 2019-02-24
From Briana:
When 4 times the number increased by 30, the answer is the same as when 70 decreased by the number. What was my number?
Answered by Harley Weston.
Loan payment formula 2019-02-24
From Kenneth:

I have a question regarding the loan payment formula shown below.

Calculating the Payment Amount per Period
The formula for calculating the payment amount is shown below.

Simple Amortization Calculation Formula

A = P X r(1 + r)n over (1 + r)n - 1

where

A = payment Amount per period

P = initial Principal (loan amount)
r = interest rate per period

n = total number of payments or periods

Is this formula/calculation a condensed version of a longer calculation? I am curious to know how the (1 +r)n - 1 was developed from the longer calculation. For example, r(1 + r)n may have been (r + rn)n. The n's are exponents.

I thank you for whatever helpful explanation that may be provided.

Kenneth


Answered by Harley Weston.
The Polynomial Remainder Theorem 2019-02-23
From pasandi:
f(x) is a quadratic polynomial. when f(x) is divided by (x-1),(x-2) & (x+2) the remainders respectively are -1, 4 and 2 how to find the f(x) in a question like this?
Answered by Penny Nom.
An arithmetic sequence 2019-02-23
From Dalal:
If x+1 and -x+17 are the second and sixth term of a sequence with a common difference of 5, what's the value of x.
Answered by Penny Nom.
Adding and multiplying two numbers 2019-02-13
From katie:
what 2 numbers add to get 7 and multiply to get 2?
Answered by Penny Nom.
Margin with commission as part of selling price 2019-02-13
From Anni:
I need to find selling price to put us at 24% margin.
15% commission is based on selling price and is included in our cost.
I'm trying to do it excel and keep getting a circular reference.
Total cost= cost + commission (15% of selling price)
Selling price=total cost + 24% margin

Answered by Penny Nom.
Factoring n^2+3n-270 2019-02-11
From Ashley:
n^2+3n-270
Answered by Penny Nom.
A linear equation 2019-02-11
From Nick:
What's a linear equation?
Answered by Penny Nom.
5 numbers from 9 numbers 2019-02-11
From John:
How many combinations of 5 numbers be created with 9 numbers?
Sample: 1,4,7,9,12. Question the same with combination of 4 from 12?
Thanks, John

Answered by Penny Nom.
A cylindrical drum 2019-02-10
From Ronald:
I have a cylinder that is 32 inches round by 25 inches deep how much water can it hold
Answered by Penny Nom.
The exponential form of sqrt(13) 2019-02-10
From isaebl:
what is the exponential form of sqrt(13)
Answered by Penny Nom.
Function notation 2019-02-10
From Paige:
What is the difference between f(x+2) and f(x)+2?
Answered by Penny Nom.
Fractions with roots 2019-02-06
From DEBMALYA:
5/√2+√3 –1/√2–√3
Answered by Penny Nom.
An ice cream cone 2019-02-05
From Eyuel:
a scoop of ice cream has a 3-inch radius how tall should the ice cream cone at the same radius be in order to contain all of the ice creams inside the cone
Answered by Penny Nom.
A 4 digit combination lock 2019-02-02
From Brijanshu:
I have a lock that contain only four no. 6,7,8 & 9 . How many possible password of four digit containing these Number.
Answered by Penny Nom.
A fraction of a cent 2019-02-01
From michael:
$ 300 divided by 1,000,000 is 00.0003 ... so, is that three hundredths of one ($ 00.0003) cent or what ... thanks
Answered by Penny Nom.
An arithmetic sequence 2019-01-31
From sara:
if the 6th term of an arithmetic sequence is 8 and the 11th term is -2, what is the first term?
Answered by Penny Nom.
One quarter of a quarter cake 2019-01-30
From Tre:
1/4 of a birthday cake was left over from a party. The next day, it is shared among 4 people. How big a piece of the original cake did each person get?
Answered by Penny Nom.
Macy's coin collection 2019-01-30
From Sariah:
Macy's coin collection has 2 pennies for every nickel. If she has 60 coins that are pennies or nickels, how many nickels does she have?
Answered by Penny Nom.
An equilateral triangle inscribed in a circle 2019-01-29
From Penny:
What is the length of each side of the largest equilateral triangle that fits inside a 3 inch diameter circle?
Answered by Penny Nom.
y=lnx+(1+ln2)/2 and y=x^2 2019-01-28
From Mike:
Prove that y=lnx+(1+ln2)/2 and y=x^2 touch each other.

The course is about logarithm and root functions... how should I solve this problem?

Answered by Penny Nom.
A scale factor 2019-01-27
From Hannah:
What is the scale factor of 36 meters and 1.5 centimeters?
Answered by Penny Nom.
The sum of three consecutive even integers 2019-01-27
From Pauleen:
Translate this into algebraic expression
The sum of three consecutive even integers, if x is the first even integer

Answered by Penny Nom.
The supplement of a complement 2019-01-25
From Andrei:
The value of the supplement of the complement of 8° is ?°.
Answered by Penny Nom.
What angle s its own supplement? 2019-01-25
From Ciara:
What is the angle of it's own supplement?
Answered by Penny Nom.
A median of a triangle 2019-01-24
From Anna:
For triangle J(1,4) K(-3,-1) L(3,4), find an equation for the median from vertex J
Answered by Penny Nom.
(2018^2019)-(2019^2018) 2019-01-23
From Nazrul:
Find the remainder when (2018^2019)-(2019^2018) is divided by 4? Please show me the process.
Answered by Harley Weston.
Numbering pages 2019-01-20
From chungus:
It takes 852 digits to number the pages of a book consecutively. How many pages are there?
Answered by Penny Nom.
A triangle made from 12 matchsticks 2019-01-20
From Palesa:
How many different types of triangles can be made with a perimeter of 12 matches?
Answered by Penny Nom.
Sale price and employee discount 2019-01-18
From Margaret:
What is the formula to find the 75% off full price item that was already marked 30% off?
Answered by Penny Nom.
A cylinder with a cone on top 2019-01-16
From Berania:
A water tower in New York City has the shape of a cylinder with a cone on top. The cylinder has a diameter of 12 feet and a height of 15 feet. The roof has an inclination angle of 25 degrees.
(a) Determine the height of the cone to the nearest tenth of a foot.
(b) Determine the overall volume of the tower to the nearest cubic foot.

Answered by Penny Nom.
7 spheres on a hexagonal tray 2019-01-14
From herm:
what is the length of each side of a hexagonal tray, with the height of each side 0.75 inch, to hold seven spheres, each with a diameter of 3.00 inches? The spheres are placed such that each side of the hexagon is touched by one sphere at its midpoint (and the seventh sphere is place in the center of the "ring" of the other six spheres.
Answered by Harley Weston.
A binomial expansion 2019-01-05
From shifali:
if the binomial expansion of (m-nx)^3 is 1+9x+-- find the values of m & n
Answered by Penny Nom.
Finance charge 2019-01-03
From Kenneth:

Hello Math Central:

 

The calculation for determining the finance charge per $100.00 (FC/100) is determined by the following:

Finance Charge/Amount financed * $100.00 = the finance charge per $100.00

Since the denominator (amount financed) is not multiplied by $100.00, how does the result equal the finance charge per $100.00? The numerator (finance charge) is the only amount multiplied by $100.00.
 

Example 1.  3/4 * 6 = 18/4 not 18/24 The 4 is not multiplied by the 6.


Example 2.  $49.00/$200.00 * $100.00 If $49.00 is divided by $200.00 the result is $0.245/$1.00. If $0.245/$1.00 * $100.00 = $24.50/$1.00. This answer is not $24.50/$100.00.
How does the above equal the finance charge per $100.00 when the denominator is not multiplied by $100.00?


If the division is not used to indicate the $0.245 per $1.00, the result becomes $49.00/$200.00 * $100.00 = $4,900.00/$200.00.

 

I thank you for any helpful reply.

 

..........

Kenneth


Answered by Penny Nom.
A quadrilateral inside a square 2019-01-02
From Swetha:
In 2*2 square ABCD, E is the mid point of the side AD. F is a point in BE.CF is perpendicular to BE. Find the area of the quadrilateral CDEF
Answered by Penny Nom.
A rectangle problem 2019-01-01
From ahamed:
In rectangle ABCD, angle BCD is trisected. CE,CF meet the sides AB,AD at E,F. BE=6cm, AF=2cm so, find the area of the rectangle ABCD?
Answered by Penny Nom.
An octagonal deer blind 2018-12-31
From Alan:
My grandson and I would like to making a 6'x6' octagon floor for a deer blind. He is eight yrs old and the math is outside my wheelhouse. We need to know the length of the boards and angles of the corners please.
Thank you, Sincerely,
Alan

Answered by Penny Nom.
Two integers X and Y are selected at random 2018-12-31
From Kenneth:
Two integers X and Y are selected at random from the integers 1 to 8.If the same integer may be selected twice,find the probability that;
1)X-Y=2
2)X-Y is 5 or more
3)X is greater than Y

Answered by Penny Nom.
y = f(x) 2018-12-30
From yogita:
What is the actual meaning of "f(x)" ? Please give me full explanation
Answered by Penny Nom.
Non-repeating decimals 2018-12-28
From Grace:
What is non repeating decimal
Answered by Penny Nom.
Solve for x in Y=1.5x + log (1+x) 2018-12-23
From Asadollah:
Please restate below expression in terms of y

Y=1.5x + log (1+x)

Thanks

Answered by Penny Nom.
Ten games with two possible outcomes for each game 2018-12-22
From Jin:
I'm trying to make a list to view all the possibility.
An example is if I have 2 games there's two outcomes (home/away)
I will use number to represent the teams. 0-1,2-3
All possible out comes are 0-2,0-3,1-2,1-3 right?

MY QUESTION If I have 10 games each have 2 outcomes (home/away) to win
What is all possible outcome.
0-1,2-3,4-5,6-7,8-9,10-11,12-13,14-15,16-17,18-19
Could u please provide me with a list of all possible out comes

Thanks you

Answered by Penny Nom.
The surface area of a dome 2018-12-18
From Chithrabhanu:
If a dom dia is 4.552 and the height is 1.21 what is the surface area?
Answered by Penny Nom.
cos(2x) = sin(x) 2018-12-18
From Liz:
Determine all values of x in [0,2pi] that solve the equation Cos(2x)=sinx
Answered by Penny Nom.
Simultaneous equations with fractions 2018-12-14
From zaheer:
solve simultaneous equations and give answer in fractional form
3x - 2 = 4y +5/3
y + 7 = 2x + 4
would really appreciate some help on this please

Answered by Penny Nom.
The height of a tower 2018-12-12
From Pandey:
Hello sir plz solve this question. If the shadow of a tower is found to be 10.5m longer when the sun's altitude is 45°AND60°. Find the height of the tower.
Answered by Penny Nom.
An open top box 2018-12-12
From Kirklan:
Jeremy wants to construct an open box from an18-inch square piece of aluminum. He plans to cut equal squares, with sides of x inches, from each corner and then fold each side up to form the box. If Jeremy wants the volume of the box to be 432 cubic inches, what should the minimum length of the sides of the squares cut from each corner be? Find the volume, V, of the box as a function of x. Given: V = length × width × height.
Answered by Penny Nom.
The area and weight of sod 2018-12-11
From Susan:
I have equipment that will cut sod 30 inches across and 75 Feet in length? how much will this be in square foot age ? Yards? Approximate weight?
Answered by Penny Nom.
Angular velocity 2018-12-05
From Kolade:
Krusty the Clown and Sideshow Bob have covered themselves in velcro, and shot themselves out of a large cannon so that they stick to a huge rotating velcro wheel (don’t try this at home). As shown in Figure 1(a), Krusty is now stuck to a point 3.00 m from the center of the wheel while Bob is stuck to another point 5.00 m from the center. The wheel is rotating counterclockwise at 10.0 rpm. Conveniently a set of axes is suspended just in front the wheel (Krusty asked for axes, like the ones you would use to chop wood, so that he and Bob could chase each other with them in the usual wholesome entertainment he is known for. Unfortunately, the set designer misunderstood.) The axes do not rotate with the wheel.
(a) Find Krusty’s and Bob’s angular velocities, in radians per second.

Answered by Penny Nom.
A puzzling equation 2018-12-04
From Manny:
Hello,

Can you explain why this is wrong:
-1 = (-1)^3 = (-1)^{6/2} = ((-1)^6)^{1/2} = (1)^{1/2} = 1 ??

Thank you

Answered by Penny Nom.
A square and a triangle 2018-12-03
From Livvy:
a square with a perimeter of 48 and a triangle with a perimeter of 38. when they are joined they make a pentagon. please find the perimeter
how can you find the perimeter of this. could you please help me?

Answered by Penny Nom.
The top of a truncated cone 2018-12-02
From Sameer:
Bottom cone radius 1124.height is 200. Top radius 15degree decree to bottom radius. Top radius how much ?
Answered by Penny Nom.
How many solutions does 3 (x + 4) = 3 x + 4 have? 2018-12-01
From Milan:
how many solutions does 3 (x + 4) = 3 x + 4 have?
Answered by Penny Nom.
Four digit numbers from 0, 1, 2 and 3 2018-11-30
From A parent:
how many four digit numbers can be formed using nos.0,1,2,3 if repetition is allowed?
Answered by Penny Nom.
y = |x| - 1 2018-11-30
From alexis:
what does this mean y=|x|-1
Answered by Penny Nom.
Two cones formed from two circular sectors 2018-11-30
From APARNA:
The central angles of two sector of a circle are 60° and 120° . Using these sectors two cones are made. If the radius of the smaller cone is 5 cm, find the radius and base area of the larger cone.
Answered by Penny Nom.
0.025% of 575 billion 2018-11-28
From JoAnne:
What is .025% of 575 billion dollars?
Answered by Penny Nom.
Ordering fractions 2018-11-25
From Mae:
order these from least to greatest:

19/6, 3 5/14, 83/21

Answered by Penny Nom.
1 acre by 3 inches deep 2018-11-23
From Cheri:
How many yards of soil does it take to cover 1 acre in 3 inches of soil?
Answered by Penny Nom.
Divisibility by 3 2018-11-20
From Ray:
There is a rule that a number is divisible by 3 if the sum of its digits are divisible by 3 (for example, 81=8+1=9 {divisible by 3} and 33=3+3=6 {again, divisible by 3}) I know this works but I don't know why! Please help.
Answered by Penny Nom.
Terry was two-thirds as old as Nia 2018-11-19
From Makenzy:
four years ago, terry was two-thirds as old as nia. now terry is three-fourths as old as nia. how old is each now
Answered by Penny Nom.
What was the original number? 2018-11-18
From jaydaleigh:
Mark was thinking of a number. Mark adds 11 to it, then doubles it and gets an answer of 40.5. What was the original number?
Answered by Penny Nom.
Percentage markup 2018-11-17
From Sher:
Cost price is $32,500 and selling price was $ 85,495.25, what percent markup was made?
Answered by Penny Nom.
2/5 as much time 2018-11-16
From Izzy:
If Patricia spent 3/8 of her time cleaning her room. She spent 2/5 as much time washing the dishes as she did cleaning her room. What fraction of time did Patricia spend Washing dishes? And it wants us to simplify our answer
Answered by Penny Nom.
-4 + 3/2 2018-11-15
From Chloe:
so I have this paper and I'm confused, -4 + 3/2=???? so I originally got -1/2 but I looked at Calculator papa and he says -5/2 and then I looked at google and all I got was -2.5 and i am so confused and lost.
Answered by Penny Nom.
Price before VAT and a discount 2018-11-15
From Carol:
I bought a computer for £330.
The selling price included VAT at 20%.
Then I was allowed a staff discount of £30.
What was it’s original price before the VAT and staff discount?

Answered by Penny Nom.
The original cost when you only know a percentage 2018-11-13
From john:
I was wonder how to find the Original cost when you don't know original cost

The amount paid was 13.82 that is suppose to represent 20% because Insurance pays 80% Thank You

Answered by Penny Nom.
A line cuts a curve 2018-11-11
From roxanne:
Hello, i need to ask a question, do you mind explaining and writing the formula of how to solve equations such as "find the set values of k for which the line y-2x-5 cuts the curve y=x^2 +kx+11" please
Answered by Penny Nom.
The price of eggs rises 10 cents per dozen 2018-11-10
From Maddie:
Hi! I'm currently struggling with a word problem that says: "If the price of eggs rises 10 cents per dozen, one will be able to get 2 dozen fewer eggs with $6.00 than was possible at the lower price. What is the lower price? We are working on completing the square and all of the problems I've done so far in this chapter require using that method. If possible and needed, could you explain how to set up the equation? Thank you so much! I appreciate all your help!!
Answered by Penny Nom.
Speed 2018-11-06
From Dolores:
if I drove 3/4 mile in 32 seconds, what was my speed ?
Answered by Penny Nom.
Dividing by a fraction 2018-11-02
From Fadely:
If 8 divided by 4/2 can be expressed as 8 X 2/4, how can 8 X 2/4 be converted back to 8 divided by 4/2?
Answered by Penny Nom.
Why 1/2 in the area of a circular sector? 2018-10-26
From Ariel:
In the equation for area of a sector=1/2r^2theta why is it 1/2? Please explain conceptually not algebraically.
Answered by Penny Nom.
Why 1/3 in the volume of a cone? 2018-10-20
From Keith:
In the formula for the volume of a pyramid, Volume = 1/3 * base * height, where does the 1/3 come from, intuitively?
Answered by Penny Nom.
f(x) and f(-x) 2018-10-19
From Simran:
what is difference between f(x) compared to f(-x) on graph
Answered by Penny Nom.
Angular speed 2018-10-18
From Akidima:
A bicycle wheel rotates uniformly through 2.0 revolutions in 4.0 seconds . What is the average angular speed of the wheel
Answered by Penny Nom.
Filling a candy box 2018-10-16
From Stephanie:
My child had the question: A candy box has the following measurements. 10x6x4Find the total volume. (We got that one right 240in3) But... then it said “How many 1/2 inch cubed pieces of candy can fit in the box? This is where we disagree. Please help.
Answered by Penny Nom.
Covering 6 acres with dirt 2018-09-27
From Scott:
How many cubic yards of dirt would come from 6 acres, 6 ft. deep?
Answered by Penny Nom.
The area of a trapezoid 2018-09-24
From An other:
AB-272 feet: AC 690 feet; CD-330 Feet; DA-669Feet Calculate the area in feet and Acres.
Answered by Penny Nom.
Two curves 2018-09-23
From Megan:
How do i find the interception points of xy=-2 and y=x+3? Many thanks!
Answered by Penny Nom.
The point-slope equation for a line 2018-09-23
From Sally:
The equation of the line in point-slope form for the line passing through the point ( 4, -6) and parallel to the line y = -6x + 2. Describe the steps.
Answered by Penny Nom.
An inequality with no solution 2018-09-20
From Alena:
I'm trying to help with a homework problem. Can you please help me?

2kx - 3k < 2x + 4 +3kx

We are solving for "k" with no solution.

Answered by Penny Nom.
Compatible numbers 2018-09-19
From Jessica:
Hello, I'm having trouble helping my daughter she is in 5th grade and I tell you her math is so much different then the math I learned in school and I been out of school for quite some time so it's a little hard for me.
Anyway her math is very confusing for me they are saying use compatible numbers to find two estimates.
I have no idea what that even mean I tried using Google but still don't get it . The problem is 12 divided by 478 using compatible numbers to find two estimates.... please help

Answered by Penny Nom.
The sum and difference of two numbers 2018-09-17
From Feni:
The sum of two numbers is 4. The difference of the two numbers is 2. What are the two numbers?
Answered by Penny Nom.
A gas and oil mixture 2018-09-16
From April:
For a new motor bike, the recommended ratio of gas to oil is 27:1 by volume. How much gas and how much oil are needed to fill a 14 L tank on a new motor bike?
Thank you

Answered by Penny Nom.
Predicting the number of fish in a lake 2018-09-16
From April:
A researcher catches 30 fish in a pond, attaches a marker to their fin and releases them. The next day she places a large net in the water and catches 9 fish. 3 have the marker attached to their fin. Can she predict the number of fish in the pond???
Thank you

Answered by Penny Nom.
The volume of a hotel soup pan 2018-09-15
From Melanie:
If the hotel pan measures 12 inches long x 5 inches wide x 6 inches tall, how many quarts of soup will the hotel pan hold?
Answered by Penny Nom.
Velocity 2018-09-14
From Adrian:
If Jill was traveling at 300 miles in 4 hours due South what was his velocity in miles per second.
Answered by Penny Nom.
Covering a region with black Mexican Rock 2018-09-14
From Lenton:
I have a 48 sq. feet area that I need to cover.

How many cubic ft would I need to cover 48 sq. ft.?

Answered by Penny Nom.
Exponential form 2018-09-14
From Saquanna:
What is 25 in exponential form
Answered by Penny Nom.
Splitting a commission 2018-09-13
From Beth:
If Sales Prices is $170975 and commission is 6% but listing agent gets 60% of the 6% and selling agent gens 40% of the 6% what is the actual percentage that each would actually receive?
Answered by Penny Nom.
Fixed cost 2018-09-13
From Heather:
On the bus question you answered, what would be the fixed rate? Is that the rate per person or is that also the base rate? ( cost of empty bus)?
Answered by Penny Nom.
Exponential form 2018-09-12
From Grace:
hi, I can't figure out how to do 735 in exponential form. note that im only in 5th grade and its not supposed to be in the scientific notation or whatever. okay, thanks!
Answered by Penny Nom.
A locus of points 2018-09-03
From Ericka:
Find the locus of points three times as far from (0,4) as from (2,0)
Answered by Penny Nom.
Golf schedule for 12 players over 8 days 2018-09-03
From William:
We have a golf trip with 12 golfers

we are playing 8 rounds together......we want to mix the group up at best possible w/o too much overlap.......
thoughts? the math is way over my head...

even if we play the first 6 rounds with different partners, then the last 2 can be repeats ...or whatever the math works out

Answered by Penny Nom.
A 3500 acre ranch 2018-08-30
From Dee:
I am in the middle of writing the description of the size of a ranch in my story. It is 3500 acres. How does that equate into mileage? The main ranch house is at one end, and the foreman's ranch house at the other end.
Answered by Penny Nom.
The sum and difference of two numbers 2018-08-30
From Saranya:
Hi,

The question is to find the numbers from sum and difference.
The Sum = 14 and the difference = 2

I found in this web site some useful answers. but my kid is going second grade only. She don't know how to do a division or multiplication.
So can you please explain on how to find the answer using only the Addition and Subtraction.

Thanks in advance.

Answered by Penny Nom.
Working with percentages 2018-08-26
From Kenneth:
16 is 4% of what amount? The answer can be determined by the following unusual manner: 4% = 16 1% = 4 100% = 400 Can the following solutions for the following be determined by using the same type of calculation? 16 is ?% of 400 ? is 4% of 400 I thank you for your reply.
Answered by Penny Nom.
Robbie and fran run laps 2018-08-26
From khansa:
robbie runs 3 laps for unknown number of days. fran runs 3 times as many laps each day for unknown number of day. what is the formula for their combined total number of laps
Answered by Penny Nom.
A rotating wheel 2018-08-24
From Kay:
A wheel with a radius of 7 inches is rotating at 4 revolutions per second. What is the linear speed v, in feet per second?
Answered by p.
Two intersecting tubes 2018-08-15
From Tommy:
Hi, I am trying to determine a mathematical model for two metal tubes joining at various degrees for weld.
For instance, if I am trying to join the end of a tube to the side of another at a 90 degree angle, it will be a simple profile cut out of the joining tube.
Where it gets tricky is if you want to join the new tube at a given angle.
It would be very helpful if you could give insight as to how I can solve this problem or an equation I could work off of.
Thanks for the help!!

Answered by Edward Doolittle.
Two spinners 2018-08-13
From Atina:
A spinner has four equal sectors and a number is written on each sector; 1, 2, 3 and 4. A two-digit number is formed by spinning two times. The number on the first spinning makes the first digit and the number on the second spinning makes the second digit. For example, 2 on the first spinning and 1 on the second spinning make the number 21.
(a) Give the sample space S for the experiment.
(b) Consider the following events : E = odd number; F = number smaller than 35; G = prime number. Give the subset of outcomes in S that defines each of the events E, F, and G.
(c) Describe the following events in terms of E, F, and G and find the probabilities for the events.
• getting an even integer less than 35.
• getting an odd number or an prime.
• getting an even number greater than or equal to 35 that is a prime number.
• an odd number smaller than 35 that is not a prime number.
(d) Are E and F mutually exclusive events? Give a reason for your answer.

Answered by Penny Nom.
A cube in a cylinder 2018-08-13
From Geli:
A cylinder with a radius r and height 2r+4 contains a cube with edge length r√2. What fraction of cylinder volume is taken up by the cube
Answered by Penny Nom.
Amy and Joey on a circular track 2018-08-13
From Zoe:
Amy and Joey are situated on a circular track 400 feet around.
Joey starts running at a rate of 10 feet per second.
Amy waits for a full minute, then starts running from the same point (in the same direction) at 12 feet per second.

How many seconds elapse before Amy passes Joey on the track?

Answered by Penny Nom.
Exponents 2018-08-13
From Ella:
What is the radical form of 3xy raised to 5 quantity three- fifths?
Answered by Penny Nom.
Form a cone from a circle sector 2018-08-12
From Tinashe:
A 216 sector of a circle of radius 5cm is bent to form a cone. Find the radius of the base of the cone and its vertical angle.
Answered by Penny Nom.
5 mm of water over 1 hectare 2018-08-10
From Joyce:
Please help me with this question.
How many tonnes of water fell on 1 hectare of land during a rainfall of 5mm?

Answered by Penny Nom.
Truncated cones 2018-08-08
From Belgacem:
Hello, I have a truncated cone: height 500mm , Base radius=147mm and I want to calculate the Top surface radius. How to do that? thank you
Answered by Penny Nom.
Paving stones area 2018-08-08
From Declan:
I am thinking of buying some reclaimed block paving stones. There are 750 pieces in total.
60% are L- 140mm x W -140mm x H-50mm
40% are L-170mm x W-140mm x H-50mm How much area will this cover?

Answered by Penny Nom.
The record for a soccer team 2018-07-20
From Payal:
A soccer team plays six games in one month. Each game results in a win, loss, or tie.

For this soccer team, how many different sets of results are possible for the six games?

Answered by Penny Nom.
How many students passed the test? 2018-07-20
From florian:
In Mr. Edgecomb's math class, 30 students took an exam on statistics. If the average passing grade was 84, the average failing grade was 60, and the overall average was 80, how many students passed the test?
Answered by Penny Nom.
Linear feet and cubic feet 2018-07-16
From Dave:
How do I convert: 1 foot wide x 15 inches high x 19 inches deep

We are trying to figure out how to convert the linear footage into cubic footage the above are the figures represent just 1 linear feet of several thousand

Any thing helps,

Thanks in advance

Dave

Answered by Penny Nom.
A sulphuric acid solution 2018-07-12
From Tan:
How much 96% h2so4 to add into sulphuric acid 30% in order to make it to 50% sulphuric acid?
Answered by Penny Nom.
A circle inscribed in a regular polygon 2018-07-12
From Naveen:
The radius of inscribed circle for n sided regular polygon of a side a is? Please with proof
Answered by Penny Nom.
The price of a watermelon 2018-07-07
From errin:
the price of the watermelon is directly proportional to its weight. If a watermelon that weighs 22 pounds cost $5.40, how much will a 17.5 pound watermelon cost?
Answered by Penny Nom.
Four odd factors 2018-07-04
From Manchali:
Find a number that has 4 factors and all of them are odd numbers.
Answered by Penny Nom.
The surface area of a levee 2018-07-04
From John:
Figuring out the surface area in sq. Ft. Of a levee

Height:10’
Top of levee width: 6’
Width of base (from toe to toe): 40’
Length of levee: 1,250’

Answered by Penny Nom.
Creating a number sentence 2018-06-29
From trish:
First I have to solve the problem. Then write a number sentence for the problem. The problem: By installing a $120.00 thermostat that reduces the temperature setting at night a family hopes to cut its annual fuel bill for heating oil by 8%, and recover the cost of the thermostat in fuel savings after 2years. What was the family's annual fuel bill before installing the thermostat? Thanks can't figure this one out!
Answered by Penny Nom.
Soil in a raised bed 2018-06-24
From Georgia:
Good Afternoon,

I'm planning on building a raised bed garden measuring 6 feet long x 4 feet wide x 12 inches deep. I'm not sure how to calculate the amount of soil to fill it up. I will have to purchase the soil in 2 cubic feet bags.

I've read several articles about this topic on various gardening websites, and one of them stated it would take a ton of soil to fill up an 8 foot long x 4 foot wide x 12 inch deep raised bed garden.

I'd greatly appreciate it if you could help me out with this quandary.

Thank you for your prompt and courteous response.

Kind Regards,
Georgia

Answered by Penny Nom.
Three consecutive whole numbers 2018-06-22
From whaha:
the sum of three consecutive whole numbers divided by 4 is equal to 6. find the numbers.
Answered by Penny Nom.
The product of two numbers 2018-06-19
From amie:
the product of two numbers is 108.when the larger number is divided by the smaller number the quotient is 3. What are the number.tnx
Answered by Penny Nom.
The domain of f(g(x)) 2018-06-18
From Joshua:
What are the restrictions of the domain of f(g(x))?
Answered by Penny Nom.
A question about the empty set 2018-06-17
From Andrey:
Hello there!
I got that an empty set is a subset of every set.
There is a question.
Is an empty set an element of every set?
∅ ⊆ {x}True
∅ ∈{x}?
Sorry if the question is easy. A set theory is a bit confusing.

Answered by Penny Nom.
The number of terms in an arithmetic sequence 2018-06-15
From Don:
how many terms in arithmetic sequence are there if the first term and the last term are 3&59 respectively in common difference is 4?
Answered by Harley Weston.
The base for a circular pool 2018-06-10
From Adam:
How many sheet of 4ft by 8ft foam would I need to lay under a pool 15dt in diameter
Answered by Penny Nom.
A tangent to a circle 2018-06-10
From Bellle:
Determine the equation of the circle which has its center at (3,1) and tangent 3x-4y+5=0
Answered by Penny Nom.
The inverse square law 2018-06-05
From Amy:

Question about inverse square law ;

Hi, I'm trying to understand some nuances about this law and
have been reading about it a lot online and trying out some homework
for personal interest (hobby ) - not school related.

I understand that the simple formula is ; 1/d^2

I was wondering about what appears to be an oddity to me, that
I came across when I was working with a test example I found at this
link ;

http://www.softschools.com/formulas/physics/inverse_square_law_formula/82/

The problem that caught my interest was this one on that page ;

"1) If a bright flashlight has a light intensity of 15.0 candela at a distance 1.00 m from the lens, what is the intensity of the flashlight 100.0 m from the lens?"

So I have a few different questions about this, but the most important
one is, what does it mean if we replace the "1" in ; 1/d^2 with a different value such as a ratio in the form of a decimal value, so instead we have something like this ;

0.75/d^2

???

Does this ratio represent a curve then?

I am thinking that the "1" in the normal formula represents a straight line

Some of the links I was researching ;

http://wisptools.net/book.php?c=3&s=2

http://www.softschools.com/formulas/physics/inverse_square_law_formula/82/

https://www.nde-ed.org/GeneralResources/Formula/RTFormula/InverseSquare/InverseSquareLaw.htm


Answered by Penny Nom.
Are those two equations the same? 2018-06-05
From Francisco:
Solve for y: 2(x+3)=y x=5
Solve for y: (x+3)2=y x=5
Are those two equations the same?

Answered by Penny Nom.
The difference between two numbers is -3 2018-06-05
From Hannah:
write a pair if integers whose difference is -3 ( given that the greater number is 8 )
Answered by Penny Nom.
The volume of a berm 2018-06-04
From Mike:
Have a berm that is 700’ long, 29’ y’all and needs a 20’ top with 5-1 slope on one side and 3-1 slope in the other
Answered by Penny Nom.
Two odd integers 2018-06-04
From Pleroma:
The product of two alternate odd integers exceeds three times the smaller number by 12. What is the larger number?
Answered by Penny Nom.
$96 is 66 2/3% of what dollar amount? 2018-05-31
From mary:
$96 is 66 2/3% of what dollar amount?
Answered by Penny Nom.
Taking 6 pills 2018-05-29
From Dave:
My motives are simple, I want to get revenge on my brother who, unbeknown to me, repeatedly cheated when we played on-line Scrabble! Can you help? - he has posed this question knowing that I'll struggle to get the solution. Question: He is taking 6 pills a day, if he takes the pills in a different order each day, how long will it be before he takes the pills in the same order on the same date again? I think leap years might come in to it! Will I confess to using you guys? - I'll think about that one.
Answered by Penny Nom.
Monthly Pension 2018-05-28
From Kenneth:

Hello:

I have a question regarding how the units cancel in the following:

A company uses the following calculation to determine the monthly payment for its employees as they retire:

1.1% * average 5 years highest salary * years of service

If an employee worked 33 years and his average 5 year salary is $30,705.17, what is his monthly payment?

I used the following to determine his monthly payment, but I am not sure how the units cancel especially the years.

1.1% * $30,705.17 * 33 years divided by 12 months/year

I determined his payment as $928.83 per month, but the year units do not cancel unless the 1.1% is per year.

Is the correct calculation 1.1%/year * $30,705.17 * 33 years divided by 12 months/year so that the units cancel properly?

The $\$30,705.17$ is an average for 5 years of working. It is not $30,705.17 per year.

I thank you for your assistance.


Answered by Penny Nom.
What is the diameter of the observable universe? 2018-05-27
From peter:
The diameter of the observable universe is calculated to be 92 billion light years. What would that distance be in miles given a light year is 6 trillion miles?
Answered by Penny Nom.
An equation with rational coefficients 2018-05-26
From Anagh:
If x and y are rational number and
(x+y) + (x - 2y)√2 = 2x -y + (x-y-1) √5

Then find the value of x and y.

Answered by Penny Nom.
Converting inches to centimeters 2018-05-25
From Jason:
Hi!
Is there a method to approximately convert inches to cm in my head without using a calculator?

Thanks! Jason

Answered by Penny Nom.
Pre tax and post tax percentages 2018-05-22
From Tom:
Hi,
I work in a clothes shop which can also do mail-orders. My Head Office has sent a report with which we can check the records we keep in store tally with those at HO.

According to that report we have taken £2578.25 in orders, excluding VAT (20%), which would therefore be £3093.91 including VAT (2578.25+20%=3093.91).

According to my records, we have taken £3179.32 including VAT, which would be £2543.45 excluding VAT (3179.32-20%=2543.45).

Why is it that the difference between the VAT inclusive figures (3179.32-3093.91) is +£85.41, but the difference between the VAT exclusive figures (2543.45-2578.26) is -£34.81?

Now, I can see from the report that 1 order has not been recorded by HO, and I know that our average order value is around £30, so the -£34.81 makes sense. But surely both figures should be a minus, regardless of whether they include VAT?

I'm sure there is an obvious answer, but I just cannot see it! Any help would be gratefully received.
Thanks,
Tom

Answered by Penny Nom.
The area, radius and slant height of a cone 2018-05-18
From joette:
If you have a cone how to find the slant height when given the area and radius?
Answered by Penny Nom.
Making a cylinder from a metal plate 2018-05-18
From Rahul:
I want to make a cylinder which inside diameter is 600mm and thickness is 5mm and height is 800mm...so my question is that how much plate I need to make this happen
Answered by Penny Nom.
Write these fractions from greatest to the least 2018-05-18
From angela:
math fraction greater to the least

1\5 ,1\2 or 1\4

Answered by Penny Nom.
4 digit "combinations" 2018-05-18
From Marvin:
I am designing a game, and I need away of figuring this out without having to write numerically all these numbers

4 digit combinations 0 through 13 non-repeating

Answered by Penny Nom.
mg to ml 2018-05-17
From Carolynne:
I need to convert 12 mg to ml
density is 12.5mg/5ml
I can give dose of 1mg per pound . My dropper is in ml.
How much in ml can I give

Answered by Penny Nom.
Subdividing a rectangle into squares 2018-05-13
From jeverzyck:
A rectangular board is 108cm wide and 156 cm long Equal squares as large as possible are ruled off this board.Find the size of the square.How many squares are there?
Answered by Penny Nom.
Rods,poles and perches 2018-05-13
From roy:
i have some land and its measured in rods poles and perches
how cann i convert to understand it more

Answered by Penny Nom.
Two expressions for the perimeter of a a rectangle 2018-05-13
From Slayde:
A rectangular house has one side 4 metres longer than the other. Create two different expressions for its perimeter. The expressions should be given in factorised and expanded form.
Answered by Penny Nom.
An egg falls from rest 2018-05-10
From Amy:
An egg falls from rest a distance of 75cm to the floor. Neglecting air resistance, at what speed does it hit the floor?
Answered by Penny Nom.
An unknown number 2018-05-10
From David:
Sam chose the number 35 and made up these clues."my number is odd. It is a multiple of 5. It's other factor is greater than 5. My number is less than 40. What is my number and what is it's other factor? Are Sam's clues correct?
Answered by Penny Nom.
The square root 3 in exponential form 2018-05-09
From Paige:
how do you write the square root 3 in exponential form
Answered by Penny Nom.
Converting decimals to common fractions 2018-05-08
From Ruth:
what does the 0 represent in .018 versus the decimal .180? As in, changing these to fractions? Thank you.
Answered by Penny Nom.
The volume o a hemisphere 2018-05-06
From Sambox:
When I have a hemisphere with a volume of 700Pi m^3 what is the radius?
Answered by Penny Nom.
Soccer fans and cricket fans 2018-05-06
From Chibo:
In a survey of 60 sport fans, 45 enjoy soccer, 35 enjoy cricket and 10 do not enjoy either soccer or cricket, but some other sports.What percentage of sports fans enjoys both soccer and cricket?
Answered by Penny Nom.
A fraction 2018-05-02
From Adwin:
The denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 17 the number obtained is 3 by 2. Find the number.
Answered by Penny Nom.
Gauss' Addition of whole numbers. 2018-04-30
From Brad:
I found this on your site. Question: what is the sum of the first 100 whole numbers?? Is there a different formula if the numbers begin at a number other than one? For example What is the series I want to add is goes from 7 - 53?
Answered by Harley Weston.
Spreading soil over 10 acres 2018-04-29
From Joe:
If you have 54000 cubic yards of soil and want to spread it over 10 acres of land, by how many inches would the ground level rise?
Answered by Penny Nom.
The weight of a cylinder 2018-04-27
From Jared:
What is the formula for the weight of a cylinder (not hollow) made of cast iron if it has a height of 5.25 inches and a diameter of 1.75 inches?
Answered by Penny Nom.
Throwing a football 2018-04-26
From Abby:
Daring Danny's threw a football at an angle of 40 degrees to the horizontal. The football hit the ground at 36 feet. Danny is 5 feet 1 inch tall. Find the initial velocity

I have been trying to figure this problem out for forever! Please help! I am really confused because I don't know time either and you are supposed to find that as well as velocity.

Answered by Penny Nom.
A rectangular prism with rounded corners 2018-04-25
From Jackie:
Rectangular prism that is 40 by 20 with rounded corners with a radius of 2.5.

What would the surface area be?

Answered by Penny Nom.
More on the curvature of the Earth 2018-04-23
From will:
the formula for figuring the earth's curve goes against logic, looking at a fixed point and backup 1mi. the point drops 8" then 16" in the next mi. and 32" in the third mi. why shouldn't it be 24" why is the 8" per mi. squared can you tell me in laymens terms why this is it goes against logic it would seem the correct wat would be to add up 8" per mile as you back up from the fixed point 8"- 16"- 24"- 32" not 8/16/32/64"
Answered by Harley Weston.
Seven tangent circles 2018-04-23
From Domenick:
How to calculate the circumscribed and inscribed circles formed by seven .019685 diameter circles arranged in a circle with all seven circles tangent to each other?
Answered by Penny Nom.
A volume expression for a pyramid 2018-04-23
From Shaheer:
Do a three sided pyramid and a square pyramid have the same formula if you want to calculate the volume?
Answered by Penny Nom.
The distance between two men 2018-04-21
From Kristin:
If a 5 ft 6 in man gets hit at a downward 45 degree angle by a 5 ft 10 in man, how far apart are the two men? AND, would the shorter man have to be kneeling or standing? Is there a formula and answer for this question?
Answered by Penny Nom.
Nickels, dimes, and quarters 2018-04-20
From Patti:
A copy machine accepts nickels, dimes, and quarters. After 1 hour, there are 30 coins total, and their value is $5.10. How many nickels, quarters, and dimes are in the machine? (Hint: There are exactly five different solutions.)
Answered by Penny Nom.
How to find the area of triangle? 2018-04-19
From g.a:
how to find the area of triangle
Answered by Penny Nom.
A cone formed from a circular sector 2018-04-18
From Jessica:
A circle has a radius of 7.5cm. A sector with an angle of 240 degrees is cut out from the sector. If the sector is folded to form a cone. Find the length of the cone.
Answered by Penny Nom.
Pool Digit Combinations 2018-04-18
From Jacob:
I need to know all the possible 3 digit combinations from the following pool of digits: 1st pool (1,2,3), 2nd pool (4,5) and the 3rd pool (7,8,9,0). Each pool has to be represented in the combinations.
The numbers can be repeated as long as they are not of the same set. Example for not repeating: 123 is ok but not 321 or 231,132,213, etc.

The question is somehow related to Mike's but the difference is the digits are allocated into pools. Your help can assist me solve a mystery. Thanks.

Answered by Penny Nom.
A circle inscribed in a quarter circle 2018-04-16
From abhijeet:
ABC is a quarter circle and a smaller circle is inscribed in it. if AB = 1cm then find the radius of smaller circle
Answered by Penny Nom.
A triangle in a cube 2018-04-16
From Sohel:
A cube has an edge of 4 cm. A triangle is formed by joining the middle point of one face of the cube to the ends of a diagonal of the opposite face . What will be the area of the triangle ?
Answered by Penny Nom.
What is small four-digit whole number? 2018-04-15
From Rajesh:
What is small four-digit whole number?
Answered by Penny Nom.
The angles of a trapezoid 2018-04-14
From Gautham:
In trapezoid ABCD, sides AB and CD are parallel, \angle A = 2angle D, and angle C = 3angle B. Find angle A.
Answered by Penny Nom.
The mass of a durian 2018-04-14
From REEVASSHINIE:
A watermelon with a mass of 5 kg and two durians with the same mass are placed on an electronic balance.If the reading shown on the balance is m kg,write an expression for the mass of a durian
Answered by Penny Nom.
The length of a diagonal of a box 2018-04-13
From Valentina:
A packaging box for a metal rod is 7.5 inches along a diagonal of the base the height of the box is 18 inches what is the lengh of a diagonal of the box?
Answered by Penny Nom.
Covering a region with mulch 2018-04-13
From Roberta:
I have a fall zone area of approx. 700 sq ft. that I have to cover with a 6in depth of mulch. How much mulch would I need to purchase?
Answered by Penny Nom.
Division and remainders 2018-04-12
From Yogendra:
A number is divided by 5,7 and 9. Reminder are 1,2 and 3 respectively. What is the number?. Give suitable calculations.
Answered by Penny Nom.
Graham's money box 2018-04-12
From Tasnim:
Graham's money box consists of sh.10 and sh.5 coins. There are 24 coins and it's total value is 150. Find how many of each coins are there in the box
Answered by Penny Nom.
The sides of a circle 2018-04-10
From Reid:
Hello,
I recently was wondering about whether or not a circle has an infinite number of sides, and I ended up searching it on your website. I saw that you guys found the question to be too ambiguous or something of that nature, and I thought about your process of reasoning involving vertices and such. I soon realized that I may have come up with the solution to the question, but I want to confirm it with you guys. Allow me to explain:
A circle, unlike any other typical 2 dimensional polygon, can sustain an infinite number of straight lines coming in contact with only one point on it. A square, for example, cannot. A square only has 4 locations that can sustain a such a line, each of those being its corners. The flat edge of a square cannot support a tangential line, because the line would either be crossing the edge of the square or coming into contact with multiple points along its edge.
This concept is consistent in every 2 dimensional polygon: pentagons sustain 5 locations for tangential lines, hexagons 6, nonagons 9, etc. The reason a circle has an infinite number of sides is simply the fact that it must have an infinite number of "corners", assuming it can be defined as a polygon like any of the shapes I described above.
Corners can only exist assuming there is two sides coming into contact with one another. If there is an infinite number of corners in the circle, which is apparent due to the above reasoning, there must be an infinite number of sides coming into contact with each other. Thus, a circle is a polygon that consists of an infinite number of sides coming into contact with each other.
Please review this reasoning and let me know if it is solid.
Thank you!

Answered by Penny Nom.
Rolling 2 dice 2018-04-06
From Jose:
Find the probability p that the sum is as stated when a pair of dice is rolled.

(a) Even and doubles.
p=

(b) Even or doubles.
p=

Answered by Penny Nom.
A side of a square 2018-04-06
From Angie:
I am dyslexic and have problems with spelling and math I'm trying to figure 4.610 Acres Square trying to figure out how many feet or yards of one side if that makes sense to you thank you I'd really appreciate the help
Answered by Penny Nom.
Factoring a quadratic 2018-04-02
From Billy:
I need help factoring the following question: 4x(squared) -10x +16.
Answered by Penny Nom.
The price of a sheet of metal 2018-04-02
From Nydia:
What is the formula to calculate the following:

I nee to find out what the sheet price be. The dimensions are 2000x3000 mm into ft they are 78x1181. The sqft price I have is $22.16. How do I figure out the sheet price from that?

Answered by Penny Nom.
A circle problem 2018-03-30
From ahamed:
the diameters of a circle AB and CD intersect each other at O perpendicularly. Then a chord DF is drawn. AB and DF intersect at E. DE=6cn and EF=2cm.find the area of thw circle
Answered by Penny Nom.
The volume of a tent with a hexagonal base 2018-03-27
From shohel:
A tent has its base in the shape of a regular hexagon whose sides are 10m . If the height of the tent is 12m , then find its volume.
Answered by Penny Nom.
Base 6 to base 4 2018-03-25
From Malik:
Hi Sir..!
I just want to know the proper example with a brief explanation of conversion of base 6 into base 4. kindly reply me as soon as possible.. Thank you

Answered by Penny Nom.
The mean and median 2018-03-24
From Myrte:
Is the median always smaller then the mean?
Answered by Penny Nom.
Distance between a chord and its arc on a circle 2018-03-23
From Doug:
Specifically, what is the subject distance for the Earth orbiting for 27 days. Assume the orbit of the Earth to be a circle have a 93 million mile radius. Assume the angle of arc to be (27/365) x 360 degrees. Thank you.
Answered by Penny Nom.
A circle and two chords 2018-03-21
From Ella:
In a circle, a 30 unit chord is 5 units closer to the center than a 20 unit chord. Find the radius.
Answered by Penny Nom.
Interest for 3 years 2018-03-21
From Mary:
How much interest do you pay if the charges 0.12% over 3 years loan $4999
Answered by Penny Nom.
Walking a fraction of a mile 2018-03-20
From Jamie:
Who walked a fraction of a mile that is closer to neither 0 nor 1 ? Explain
Avery 1/6
me.Nunez 5/6
Ms. Chang 1/3
Mr. O’Leary 4/8
Miss Lee 4/6

Answered by penny Nom.
Two regular pentagons 2018-03-19
From Kip:
The ratio of the corresponding apothems of two similar regular pentagons is 5:7 What is the ratio of their areas?
Answered by Penny Nom.
A circle of circumference 4*pi*r 2018-03-19
From Ankith:
If the circumference of a circle is 4*pi*r, what is its area?
i) 4*pi*r^2
ii) 2*pi*r^2
iii)3*pi*r^2
iv) pi*r^2

Answered by Penny Nom.
A penny is thrown from the top of a building 2018-03-16
From Zoraida:
A penny is thrown from the top of a 26.7-meter building and hits the ground 3.39 seconds after it was thrown. The penny reached its maximum height above the ground 0.89 seconds after it was thrown.

a. Define a quadratic function, h, that expresses the height of the penny above the ground (measured in meters) as a function of the number of seconds elapsed since the penny was thrown, t. b. What is the maximum height of the penny above the ground?

Answered by Penny Nom.
1/4 acre of land 2018-03-15
From Jean:
I have 1/4 acre of land.it is square.what should the measurement be for each side be in feet
Answered by Penny Nom.
Solve when the variable is in the exponent 2018-03-15
From Dan:
50 x 2^n = 1,000,000
2^n = 20,000

what does n equal?

Answered by Penny Nom.
The volume of a cube 2018-03-15
From Eli:
An outdoor art display is a metal cube with edge length 39 feet. What is the volume of the cube in cubic​ feet? In cubic​ yards
Answered by Penny Nom.
An equilateral triangle inscribed in a circle 2018-03-15
From Olatundun:
An Equilateral Triangle Of Side 20cm Is Inscribed In A Circle.Calculate The Distance Of A Side Of The Triangle From the Centre Of The Circle.
Answered by Penny Nom.
A rope fom a dock to a boat 2018-03-14
From Tracey:
A boat is tied with a rope to a dock that is 16 feet tall. Along, the water, the water the boat is 17 feet from the dock. How long is the rope connecting the boat to the dock? Let c represent the length of the rope.?
Answered by Penny Nom.
Which movie lasts longer? 2018-03-14
From YKJAJA:
Which movie lasts longer than the other?
A) “space adventure” lasts for 1 2/3 hour
B) “animal world” lasts for 15/12 hour

Answered by Penny Nom.
A geometric series 2018-03-13
From nathi:
Hi I am really struggling with this question please help !!!!
a pohutukawa tree is 86 centimetres when it is planted. in the first year after it is planted , the tree grows 42 centimetres in height.Each year the tree grows in height by 95% of the growth of the previous year.
assume that the growth in height of the pohutukawa tree can be modelled by a geometric sequence.
A)find the height of the tree 5 years after it is planted and figure out the maximum height the pohutukawa tree is expected to reach in centimetres. The maximum height part is not answered.

Answered by Penny Nom.
Solve sinX=0.703X for X 2018-03-13
From PARAM:
sinX=0.703X
Answered by Penny Nom.
The sum and difference of two numbers 2018-03-13
From samima:
Two numbers have a difference of 0.85 and the sum 1.What are the numbers?
Answered by Penny Nom.
0.366 x cos square (02 degree 17 mins 27 seconds) 2018-03-12
From michael:
what is 0.366 x cos square (02 degree 17 mins 27 seconds)
what is 0.366 x cos square (88 degree 26 mins 45 seconds)

Answered by Penny Nom.
Graphing y = 2x - 1 2018-03-12
From Himanshu:
Hi I Himanshu I having 1 doubt on 1 question this question of graph how to draw y=2x-1
Answered by Penny Nom.
The intersection of a curve and a line 2018-03-08
From lola:
find the set of values of constant C for which the line y=x+c intersects the curve y=2 square root x at, at two distinct points
Answered by Penny Nom.
The dimensions of a rectangle 2018-03-03
From Mia:
A wire of length 36cm is bent to form a rectangle. Find the dimensions of the rectangle.
Answered by Penny Nom.
Some 5 number sets 2018-03-02
From Sarah:
Hello! My question is:
If I have 5 columns of numbers, and I want to create all possible combinations (or is it permutations?) How can I do that? For example all numbers in each column may not appear in any other column. so:
column 1: 1,2,3,4,5
column 2: 6,7,8,9,10
column 3: 11,12,13,14,15
column 4: 16,17,18,19,20
column 5: 21,22,23,24,25

how may I determine all the possible ways I can get sets of 5 out if this? Thanks!

Answered by Penny Nom.
Expand (5x-9)(5x+9) 2018-03-01
From adil:
expand the following:
(5x-9)(5x+9)

Answered by Penny Nom.
Aspect ratio 2018-03-01
From brad:
can you help me find the width if I know the length and aspect ratio of a object?
length = 78
aspect ratio = 1.42
width=?

length = 107
aspect radio= 2.02
width= ?

thank you

Answered by Penny Nom.
An item on sale costs 55% of the original price. 2018-02-28
From Debra:
An item on sale costs 55% of the original price. The original price was $51 .
Answered by Penny Nom.
Parents, grandparents, great grandparents, ... 2018-02-28
From jessica:
every person has 2 birth parents, 4 birth grandparents, and so on. These people are known as ancestors. How many ancestors does a person have in each generation? write in exponential form. 3ed generation, great-grandparents? 4th generation? 10th generation?
Answered by Penny Nom.
Is a rectangle a parallelogram? 2018-02-28
From ellie:
is a rectangle a parallelogram?
Answered by Penny Nom.
The limit of (e^x-1)^(1/x) as x tends to 0 2018-02-27
From ARGHA:
Find the limit of (e^x-1)^(1/x) as x tends to 0.
Answered by Penny Nom.
A cyclist reduces his speed 2018-02-27
From Katherine:
Suppose the winner had reduced his average cycling rate by .1 mile per hour. By how much would his time have changed?

(the cyclist's rate is 23.66 miles per hour and the answer to the question before this one was that he cycled 2,292 miles in 96.87 hours)

Answered by Penny Nom.
A four digit pass code 2018-02-26
From Jessica:
I was trying to fond out how many combinations could there be for a four digit pass code to a phone when no numbers are repeated?
Answered by Penny Nom.
Billions and trillions 2018-02-25
From Sheila:
How many 50 billion equal 100 Trillion ?
How many 20 billion equal 100 Trillion?
How many 500 million equal 100 Trillion?
How many 50 million equal 100 Trillion?
How many 50 thousand equal 100 Trillion?

Answered by Penny Nom.
$525 is shared among three friends 2018-02-25
From Iyanla:
If $525 is shared among three friends: Paul Katherine and Brandon so that Paul gets $15 less than Brandon and Katherine gets 4 times as much as Paul, how would I solve this equation?
Answered by Penny Nom.
The perimeter of a square 2018-02-25
From Alicia:
What's the perimeter of a square with 441cm square
Answered by Penny Nom.
Multiplies and factors 2018-02-24
From Lil:
Is a multiple the same as a factor?
Answered by Penny Nom.
Dividing a region in half 2018-02-24
From mandy:
There is a line through the origin that divides the region bounded by the parabola y=4x−5x2y=4x−5x2 and the x-axis into two regions with equal area. What is the slope of that line?
Answered by Penny Nom.
The slope of a line 2018-02-22
From Steve:
my current slope is 6%. I want to know how many inches higher I will be at 18' Thanks
Answered by Penny Nom.
2.5 gallons of liquid, one half an inch deep 2018-02-21
From Cain:
How many square feet would 2.5 gallons of liquid cover at half an inch deep?
Answered by Penny Nom.
nC0 + nC1 + nC2 + .... + nCn = 2^n 2018-02-19
From bristal:
(QQ) Prove, nC0 + nC1 + nC2 + .... + nCn = 2^n.
Answered by Penny Nom.
-2 (a + 4) = 18 2018-02-18
From rebecca:
-2 (a + 4) = 18
how do i do this with showing it distributive property ( symbolically)
Thank you!

Answered by Penny Nom.
A footballer angle 2018-02-14
From Kim:
Two goal posts are 8m apart. A footballer is 34m from one post and 38m from the other. Within what angle must he kick the ball if he is to score a goal.
Answered by Penny Nom.
What is the speed of the skateboarder? 2018-02-13
From Zack:
It takes a skateboarder 20 minutes to get to school, which is 6 km from home. What is the speed of the skateboarder?
Answered by Penny Nom.
Solar cells 2018-02-12
From karla:
Solar (photovoltaic) cells convert sunlight directly into electricity. If solar cells were 100% efficient, they would generate about 1000 watts of power per square meter of surface area when exposed to direct sunlight. With lower efficiency, they generate proportionally less power. For example, 10% efficient cells generate 100 watts of power in direct sunlight. Suppose you want to supply 22 kilowattss of power to a house by putting solar panels on its roof. For solar cells with the average power of 49 watts per square meter of solar panels, how many square meters of solar panels would you need? Assume you can make use of the average power from the solar cells
Answered by Penny Nom.
Related rates 2018-02-11
From angelo:
hi admin please help me answer this question. thank you! At a certain instant of time, the angle A of a triangle ABC is 60 degrees and increasing at the rate of 5degrees per second, the side AB is 10cm and increasing at the rate of 1cm per second, and side AC is 16cm and decreasing at the rate of 1/2 cm per second. Find the rate of change of side AB?
Answered by Penny Nom.
Water in a cone 2018-02-10
From Shuvo:
The diagram shows a vertical cross-section of a container in the form of an inverted cone of height 60 cm and base radius 20 cm. The circular base is held horizontal and uppermost. Water is pursed into the container at a constant rate of 40 cm3/s.
Show that, when the depth of water in the container is x cm, the volume of the water in the container is (πx^3)/27 cm3.
Find the rate of increase of "x" at the instant when "x" = 2.

Answered by Penny Nom.
3 yards 6 inches times 7 2018-02-08
From Tamara:
3 yards 6 inches × 7
Answered by Penny Nom.
A parallelogram, a rhombus and a rectangle 2018-02-07
From Sambo:
what do parallelogram, rhombus and rectangle have in common?
Answered by Penny Nom.
The wholesale price given the retail price and the markup 2018-02-07
From Matthew:
Retail $99
Mark-up is 80%

What is the equation to find the original (wholesale) price (55)?

thanks

Answered by Penny Nom.
Adding two negatives 2018-02-04
From Pinasshakoane:
(-23)+(-3)
Answered by Penny Nom.
A question about perfect squares 2018-02-04
From Jolyn:
Find the smallest possible value of a whole number m if 648x m is a perfect square
Answered by Penny Nom.
The code on a new phone 2018-02-02
From Maria:
Hi -
My husband gave me a new Samsung Galaxy mobile for out anniversaire gift. He set me a challenge which I have to solve before I can use the Phone. He has set the pin code with numbers 4, 7 and 0 and created a four digit code with the said numbers. Is there a way I can somehow list all possible combinations and try them all? Thanks!

Answered by Penny Nom.
Similar rectangles 2018-01-31
From Kathy:
A rectangular picture frame is 14 inches long and 4 inches wide. Which dimensions could a similar picture frame have.
8 L X 21 W
35 L X 15 W
49 L X 14 W
7 L X 3 W

Answered by Penny Nom.
Positive and negative values of a function 2018-01-30
From Grayson:
f(x)=x^6-x^4
Interval: ( negative infinity, negative one )
Test Value: negative two
Function Value f(x): positive forty eight
Interval: ( negative one, zero )
Test Value: negative one
Function Value f(x): zero
Interval: ( zero, positive one )
Test Value: positive one
Function Value f(x): zero
Interval: ( positive one, positive infinity )
Test Value: positive two
Function Value f(x): positive forty eight

What is the sign of f(x) for each Interval?

Answered by Penny Nom.
Pricing a piece of plate steel 2018-01-29
From Simo:
I have a piece of plate that is 2500mm x 8000mm x 20mm thick and costs $7693.00

what is the formula to work out what 1000mm x 1000mm is worth?

Answered by Penny Nom.
Simplify 1/2^i 2018-01-28
From Deepak:
How do I simplify this complex equation:

z=1/(2^i)

Answered by Penny Nom.
The sum and difference of two numbers 2018-01-25
From Ali:

Hello,
I was looking at the original question that was posted and answered by
your team:
http://mathcentral.uregina.ca/QQ/database/QQ.09.07/s/donna1.html

I used the 7 and 4 as example and not looking for 39 per original
question:

A=7
B=4

7+ 4 =11 and 7-4 = 3

We end up with 11 +3 = 14

A= 14/2 give use 7

B = how do you solve for B or 4 with out knowing anything about 3 or any other numbers ?

Thank you
Ali


Answered by Penny Nom.
The equation of a line 2018-01-23
From Gloria:
Write the equation of a line in standard form through the point (1, 6) and perpendicular to the line 2x –y = 9.
Answered by Penny Nom.
y as an expression in terms of x 2018-01-20
From Mark:
What is y as an expression in terms of x ?
Answered by pennt.
Profit margin and markup 2018-01-18
From Oyewumi:
Mr A sold a car to Mr B at 20% profit margin and Mr B sold the car to Mr C at 30% markup on cost. If Mr C got the car at $x.
1. How much did Mr A buy the car in terms of x.
2. How much did Mr A buy the car if x is $2800000

Answered by Penny Nom.
The product of the coordinates of a point on a line 2018-01-17
From Sophia:
For any point on line l, the product of the x-coordinate and the y-coordinate is less than or equal to zero , what is the answer?
Answered by Penny Nom.
The decimal form of a fraction 2018-01-12
From Tom:
Prove that the decimal representation of the quotient of 2 integers must repeat (if it does not terminate).
Answered by Penny Nom.
When are the hands of a clock perpendicular? 2018-01-11
From Nazrul:
How many times in a day are the hands of a clock perpendicular to each other? How can I find the times? Please help me.
Answered by Penny Nom.
xy+x=2y. Solve for y 2018-01-10
From Hugh:
xy+x=2y. Solve for y
Answered by Penny Nom.
A fraction of a mile 2018-01-06
From Sierra:
There are 5280 feet in a mile. what fraction of a mile is represented by 660 feet?
Answered by Penny Nom.
2-color combinations 2018-01-05
From Sabrina:
How many 2-color (pair) combinations can be made from 12 individual colors... is it (11x12) or (optional): (11x12)x2?
Answered by Penny Nom.
Compatible numbers 2018-01-02
From Natalie:
I'm in 4th grade and two weeks ago my class learned how to use compatible numbers. I was REALLY confused but I didn't want to say I didn't understand because I just wanted to go home. Tomorrow we have the Topic 7 Test and I'm stuck on a problem that requires using compatible numbers. My mom apparently hasn't heard of compatible numbers and she can't really help me too much. Here's the problem : The local library places new books in a section with 31 shelves. Each shelf fits 18 books. Use compatible numbers to estimate the number of books that the library can fit on the shelves.
Answered by Penny Nom.
Speed in kilometers per hour 2017-12-21
From Cody:
if a train travels 400 meters in 30 seconds how many kilometers per hr is it traveling
Answered by Penny Nom.
A puzzling sequence 2017-12-19
From Alan:
My son has the following sequence to work out the formula for the nth term (and fing 5th and 6th terms) and I have tried a variety of ways but can't help!

1/2, 5/6, 1, 11/10

I have converted all to 15/30, 25/30, 30/30, 33/30 and so think the next two terms are 37/30 and 45/30 but I have no idea how to prove or if I am right!

Any help appreciated.

Answered by Penny Nom.
Retiring athletes numbers 2017-12-18
From Robin:
I am wondering if you can explain in layman terms how to figure out how many different ways the numbers 00-99 can be arranged? The discussion that sparked this question revolved around the practice of retiring athletes numbers and how many actual number combinations there are. So if I were to use 00, 01, 02 03, 04, 05, 06, 07, 08, 09, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, ....99. I say there are only 109 different numbers. I'm being told I'm wrong that there are way more than that. Please help. Thank you, Robin
Answered by Penny Nom.
Matched pairs 2017-12-13
From Lin:

PLEASE HELP WITH THIS VERY DIFFICULT STATISTICS QUESTION(the process would really help)
Imagine you and your 4 study group partners are interested in whether all
those hours you spent together working on statistics problems for midterm
exam 2 actually helped your group's performance on that exam relative to its
performance on the first midterm exam. Suppose the first and second midterm
grades were as follows:
Is there sufficient evidence (at a = :05) to conclude that the group performed
better on midterm 2? Please provide all your calculations.

  midterm 1 midterm 2
A 25 28
B 20 19
C 15 21
D 16 25
E 20 22

Answered by Penny Nom.
4444^4444 2017-12-10
From Sashi:
4444 to power of 4444=?
Please share the result with simplification.

Answered by Penny Nom.
Needing the area of an irregular Pentagon 2017-12-06
From Dale:
I'm needing to find the square footage of an irregular pentagon.
I've seen the other questions similar to this one, but without a great deal of difficulty can't get you the angle degrees, or the length between opposing angles.
I'm hoping that a different bit of information can help. So here goes:
The longest side is 67ft long.
One of its legs is 39ft long, and the other is 18ft long.
The leg off of the other end of the 39ft leg is 35ft long.
The leg off of the other end of the 18ft is 49ft long, and meets the other end of the 35ft side.
The information that I DO have, which I'm hoping makes the difference, is that the 39ft and the 18ft sides are parallel.
Also, while the angles at each end of the 67ft side are not right angles, they are fairly close to it, approximately 80 degrees at the 39 ft side corner, and 100 degrees at the 18ft side corner.

Dale.

Answered by Harley Weston.
A range hood 2017-12-04
From Chuck:
I'm building a custom range hood and can't seem to get the angles correct where the front and side panels intersect.
I saw a similar post but there's no way I can do the calculations for a Wolfram Alpha!

Here are the dimensions that I have (in inches)...

Base - Front 29 7/16" x side 19 3/16"
Top - Front 10" x side 9"
Front Panel Length (from base to top on an angle) 21"
Side Panel Length (from base to top on an angle) - 17 9/16" Vertical distance from the base to the top 14 1/4 inches.

Any help finding the bevel/miter of the two front corners where the sides meet the front panel would be greatly appreciated.

I will need the angle for the saw in degrees.

Thank you in advance!

Regards, Chuck

Answered by Harley Weston.
An arithmetic sequence 2017-11-30
From yo:
x; 2x+1; 11 are three consecutive terms of an arithmetic sequence.calculate x
Answered by Penny Nom.
The derivative of f(x)=2^x/x 2017-11-28
From Chhavi:
f(x)=2^x/x.
Find f'(x).

Answered by Penny Nom.
GCD 2017-11-25
From A student:
Suppose a,b, c are integers such that gcd(a,b)=gcd(a,c)=1. Show that gcd(a,bc)=1.
Answered by Penny Nom.
Abstract algebra 2017-11-25
From A student:
Suppose a,b, c are integers such that gcd(a,b)=gcd(a,c)=1. Show that gcd(a,bc)=1.
Answered by Penny Nom.
Exponential form 2017-11-25
From Sherry:
What is the exponential form of 3sqrt 15?
Answered by Penny Nom.
10 digit permutations 2017-11-24
From Ed:
HI my question..
numbers1,2,3,4,5,6,7,8,9,0 how many combinations are there

example: 518, 269, 3470
example2:815,972, 3460
example3: 185,047,2369

Answered by Penny Nom.
Heat equation 2017-11-23
From Max:
What does du\dt=a(triangle)^2u mean. Can it be solved for t.
Answered by Penny Nom.
How many miles did he drive in one hour? 2017-11-21
From Ava:
Graham drove 42 1/3 Miles in 1 1/3 hours. How many miles did he drive in one hour?
Answered by Penny Nom.
An expression for the area of a triangle 2017-11-19
From hari:
why is area of a triangle drawn from centre of a circle i.e radii forming the sides is 1/2 *r^2 sin theta where r is radius
Answered by Penny Nom.
Jesse has dimes and nickels in his piggy bank. 2017-11-18
From Dee:
Jesse has dimes and nickels in his piggy bank. The number of nickels is 3 times the number of dimes. If the total amount is $8.50, how many coins are there in total?
Answered by Penny Nom.
Blair is 12 years younger than Serena right now. 2017-11-18
From Dee:
Blair is 12 years younger than Serena right now. Three years ago Serena’s age was five times Blair’s age. What are their ages?
Answered by Penny Nom.
The mass of a length of tree trunk 2017-11-13
From SM:
What is the mass of a length of 1m of trunk a tree trunk of uniform cross section of area 0.5 sq.m is made of wood of relative density 0.8?
Answered by Penny Nom.
Splitting twice 2017-11-11
From Terry:
4 people are splitting 1/3 of something. 1 is to receive twice as much as the other 3. what it the fractional interest for each?
Answered by Penny Nom.
The graph of graph y= -2x-1 2017-11-11
From Natividad:
How do you graph y= -2x-1?
Answered by Penny Nom.
A triangle with sides measuring 6, 8 and 10 inches 2017-11-11
From rukhsar:
A certain triangle has sides, which are, respectively, 6 inches, 8 inches, and 10 inches long. A rectangle equal in area to that of the triangle has a width of 3 inches. The Perimeter of the rectangle, expressed in inches, is
Answered by Penny Nom.
math 2017-11-11
From rukhsar:
A certain triangle has sides, which are, respectively, 6 inches, 8 inches, and 10 inches long. A rectangle equal in area to that of the triangle has a width of 3 inches. The Perimeter of the rectangle, expressed in inches, is
Answered by Penny Nom.
Five coins 2017-11-10
From Allan:
I have five coins..a penny,a nickle,a dime,a quarter and a loonie.....how many different amounts of money could i pay using ny combination of this coins
Answered by Penny Nom.
Mathematical ideas in everyday life 2017-11-08
From Ricita:
Mathematical ideas to solve various problems of our everyday life ,environment related problems.
Answered by Penny Nom.
Scale factor 2017-11-03
From Hannah:
I do not understand it...... What is the scale factor for 9 cenimeters = 1 meter
Answered by Penny Nom.
Formula when i know the GST total 2017-10-31
From Duncan:
HI - I've added up the GST from a pile of receipts and would like to know what the total cost of goods would be without GST. I don't want to add up 100's of receipts again with the cost before GST but I do need this total cost. i.e.) I know I paid $400 GST, what would the formula be to find out the cost of what I purchased before taxes? Your help is much appreciated!
Answered by Penny Nom.
formula when i know the GST total 2017-10-31
From Duncan:
HI - I've added up the GST from a pile of receipts and would like to know what the total cost of goods would be without GST. I don't want to add up 100's of receipts again with the cost before GST but I do need this total cost. i.e.) I know I paid $400 GST, what would the formula be to find out the cost of what I purchased before taxes? Your help is much appreciated!
Answered by Penny Nom.
Surface area of a hemisphere 2017-10-28
From Shaina:
If the total surface area of a hemisphere be 36.22/7 cm then its radius will be 3 cm is it true or false
Answered by Penny Nom.
Adding fractions 2017-10-27
From Sandy:
virinchi distributed 4/7 of cake to his friends 1/3 of it to his family members which part of cake is remaining?
Answered by Penny Nom.
f(x)=-x^2-6x find f(x-2) 2017-10-27
From Kenneth:
f(x)=-x^2-6x find f(x-2)
Answered by Penny Nom.
Solve 2cos^2 x + sin x = 2 2017-10-25
From Yamama:

hello ! I need help to solve this equation :

2cos^2 x + sin x = 2

Thank you very much
Regards


Answered by Penny Nom.
11% of a central angle 2017-10-22
From Hope:
How do you turn a percentage in to a central angle eg. 11%
Answered by Penny Nom.
A tangent to a curve 2017-10-22
From Jasem:

Suppose that
f(x)=(3x-3)^1/2.

(A) Find an equation for the tangent line to the graph of f(x) at x=2

(B) Find all values of xx where the tangent line is horizontal, and enter them as a comma-separated list (e.g., 2,-3,6). If there are none, enter none.

Values of x


Answered by Penny Nom.
Sampling distribution 2017-10-16
From Esther:
I need 4digits combination of 235689 and without replacement. Thanks
Answered by Penny Nom.
Salary plus commission 2017-10-16
From Natasha:
Veronika works at Future Shop and earns ₱10.50/h plus 6% commission on sales. Last week Veronika worked 40 hours. What was Veronika’s weekly gross salary if her total sales were ₱2050?
Answered by Penny Nom.
The distance between the origin and a moving point on a graph 2017-10-16
From Paulina:
Find the rate of change of the distance between the origin and a moving point on the graph of y=x^2 +1 if dx/dt=2 centimeters per second
Answered by Penny Nom.
Three consecutive odd integers 2017-10-10
From Johanna:
Three consecutive odd integers are such that the sum of the first and second is 31 less than 3 times the third
Answered by Penny Nom.
27000001 2017-10-09
From Tulashiram:
If a× b =27000001, then what is the value of a & b ?
Answered by Penny Nom.
Five bales 2017-10-08
From John:

two answers were given... I believe both to be incorrect.
five bales weighed two at a time: weightx2 given: 110,112,113,114,115,116,117,118,120, and 121. It stated all combinations ie: ab,ac,ad,ad,bc,bd,be, etc. to arrive at the above 10 combined weights. I come up with the following...

Bale A= 54lbs, Bale B=56, Bale C=58, Bale D=59. and Bale E=62 pounds.

A+B=110, A+C=112, A+D=, B+C=114, B+D=115 ,A+E=116 ,C+D=117, B+E=118 ,C+E=120, and D+E=121


Answered by Penny Nom.
An enclosure for some remote control boats 2017-10-03
From Roberto:
I am trying to build a "ring" for our remote control boats, using irrigation pipe. I'd like to use full 20' long sticks for the long sides and use eight of what we call 45s, which are actually 135' fittings to make the six short sides. If I know the length of the two long sides, what would be the formula to find the exact lengths of the short sides?

Thank you.

Answered by Penny Nom.
The volume of a cone without calculus 2017-10-02
From Akash:
How to find the volume of a cone without the knowledge of calculus?
Answered by Penny Nom.
The square root of 6 is irrational 2017-10-02
From John:
http://mathcentral.uregina.ca/QQ/database/QQ.09.06/sylvia1.html
In the initial assumption of that proof, root 6 is assumed to be a/b where a and b have no common factors, but why does having a common factor make it irrational?

Answered by Penny Nom.
The importance of a comma 2017-09-30
From carolyn:
the equation 2y + 53 = 165 represents the situation joel spent 165 dollars on a pair of jeans and two shirts at the same price what does y represent
price of a pair of jeans
price of a shirt
amount joel spent on the shirts
number of shirts joel bought

Answered by Penny Nom.
Macy and Camile's ages 2017-09-30
From carolyn:
macy is 2 years older than Camille twice the sum of their ages is 52 which equation can be used to find camilles age x
Answered by Penny Nom.
How many pet dogs? 2017-09-26
From Michelle:
In 2016 there were about 135 million households in the United States. 36.5% of the households own at least one dog. On average, these households have 1.6 dogs. How many millins of pet dogs were in the United States in 2016?
Answered by Penny Nom.
Four multiples of 10 2017-09-23
From Laudacir:
Four multiples of 10 are added together.the total is a 3 digit number with three consecutive digits. What could the four number be?
Answered by Penny Nom.
Changing a mixed number to a decimal 2017-09-23
From karla:
to change an improper fraction into a decimal 5 3/4 equals
Answered by Penny Nom.
Walking up and down a hill 2017-09-19
From Justina:
At 2:20 p.m. Jack is at the top of the hill and starts walking down at the exact same time that Jill, who is at the bottom of the hill, starts walking up. If they maintain the uphill speed of 2mph and downhill speed of 4mph and the distance from the bottom to the top of the hill is 1.5 mi, at what time will Jack and Jill meet?
Answered by Penny Nom.
Up a hill and down again 2017-09-17
From justina:
Jack and Jill travel up a hill at a speed of 2mi/h.they travel back down the hill at a speed of 4mi/h.what is their average speed for the entire trip? express your answer as a mixed number
Answered by Penny Nom.
An alphabetic sequence 2017-09-17
From malik:
find the letter of the following series....?

ZOTTFFSSE-

Answered by Penny Nom.
The surface area of a sphere 2017-09-17
From penny:
The surface area of a sphere is 1519.76cm. Taking 3.14 , find the radius of sphere
Answered by Penny Nom.
How many guests were present? 2017-09-17
From SM:
How many guests were present at an Italian dinner if every 2 guests shared a bowl of salad, every 3 guests shared a bowl of pasta, and every four guests shared a bowl of meatballs, and there were 65 bowls used altogether?
Answered by Penny Nom.
Peanuts in 5 bags 2017-09-17
From Maria:
There are a total of 270 peanuts divided up into five different bags. The first two bags contain 174 peanuts between the two of them. The second and third bags contain 130 peanuts between the two of them. The third and fourth bags contain 86 peanuts between the two of them. The fourth and fifth bags contain 42 peanuts between the two of them. How many peanuts are in each bag?
Answered by Penny Nom.
An equilateral triangle inscribed in a circle 2017-09-15
From sumit:
what is the area (in sq. unit) of an equilateral triangle inscribed in the circle x^2+y^2-4x-6y-23=0.
Answered by Penny Nom.
Complementary angles 2017-09-15
From SM:
The measure of angle A is 60 degrees more than its complement. Find the measure of angle A.
Answered by Penny Nom.
Average price 2017-09-15
From Annette:
If I sold a widget at $15.50 17.5% of the time and $16.50 88.5% of the time what is the algebraic expression for that. How do I arrive at an average price
Answered by Penny Nom.
An impossible problem 2017-09-15
From Fay:
Given math homework problem of: Gary and Larry given 2 numbers and told to add together. Gary subtracted and got 14. Larry multiplied and got 799. I tried substitution:
X-Y=14 and X x Y=799
X= Y+14
(Y+14) Y=799 and here I'm stuck at Y squared+14 Y= 799
using substitution I got 47x17=799 but not 14b when subtracted. HELP?????

Answered by Penny Nom.
The angle between two planes 2017-09-12
From Arthi:
Hello. hope you are having a good day.

I am stuck on a maths question in which it is asking, how to find the angle between two given planes. These planes are in a 3D shape such as a prism.
How can I do this?
Please reply as soon as possible

Thank You

Answered by Penny Nom.
Quadrilateral ABCD is inscribed in a circle 2017-09-11
From Joie:
Quadrilateral ABCD is inscribed in a circle such that side DA is the diameter. AB=2m., BC=4m., CD=6m., angle BAD=75.93degrees. Find the area of the quadrilateral.
Answered by Penny Nom.
A pool with a dome 2017-09-11
From Bruce:
A round 24 foot pool. A dome 3 feet above pool in center. How many feet across is the dome touching top rail straight across of pool?
Answered by Penny Nom.
Simultaneous equations with fractions 2017-09-09
From Farah:
Hi, my name is Farah. I hope you can help me with this question . X/2 + g/5= 3 and 2g - f = 10
Answered by Penny Nom.
The volume of an attic 2017-09-07
From paul:
trying to determine volume of an attic base is rectangular 29 ft by 37 ft peak runs parallel to longest base side and is 7 ft long roof lines run from each end of the peak to the respective corners the peak is 3.5 ft above the base
(so seen from above there are 5 visible lines: the peak and 1 line to each of the 4 corners)

Answered by Harley.
Simultaneous equations 2017-09-02
From keto:
x-y=2,x^2+xy=12
Answered by Penny Nom.
Prisms 2017-09-01
From Christa:
What do all prisms have in common?
Answered by Penny Nom.
Annual salary 2017-09-01
From Lisa:
I am applying for a job that pays $16.00 per hour, plus 5 hours of overtime every 2 weeks. I live in California, where overtime is 1.5 times the regular rate of pay after you work 8 hours a day. What would the gross annual salary be with all the overtime hours added in?
Answered by Penny Nom.
A rope formed in a semicircle 2017-08-29
From Janna:
How do I find the total length of a piece of rope formed in a semicircle that has a diameter of 8 inches?
Answered by Penny Nom.
A car on a rough road and a concrete road 2017-08-27
From Ken:
A car is driven on a rough road at a speed of 25km and then on a concrete road with a speed of 70kph. The car has 5.5 hours to travel 225km. How long did the car travel on concrete road?
Answered by Penny Nom.
Factors 2017-08-16
From Gemma:
Why do 315 and 525 have the same number of factors?
Answered by Penny Nom.
A 4 sided lot 2017-08-15
From Micheal:
If one side of .4 acre is 25 feet what would the other three sides be
Answered by Penny Nom.
Two circles 2017-08-13
From Ladines:
Find the equation of the circle passing through points of intersections of circles x²+y²=4y and x²+y²=2x and the center is on line y=2
Answered by Penny Nom.
A rectangle and a circle 2017-08-12
From Ramzan:
a diagram shows the shape of rectangular framework with length (2x+20)cm and with (y+10)cm . The outline is made of wire . If a circle with diameter 56 cm is to be made from the wire and the area of the rectangle is 420 square centimeter ,find the possible lengths and width of the rectangle
Answered by Penny Nom.
1 billion x 1 billion 2017-08-11
From Kona:
1 billion x 1 billion
1 trillion x 1 trillion

Answered by Penny Nom.
The perimeter of a sector of a circle 2017-08-11
From Alisa:
find the perimeter of the sector with radius 7 cm in which the angle at the centre is 60 degrees leave your answer in terms of pi
Answered by Penny Nom.
Two digit numbers that contain 5 2017-08-11
From Irish:
How many two digit numbers contain the digit 5?
Answered by Penny Nom.
(x-18)/7=6 2017-08-08
From David:
(x-18)/7=6
Answered by Penny Nom.
A pair of linear inequalities 2017-08-08
From Hempstone:
Solve the inequalities 3x-5<2x+5>4x+9
Answered by Penny Nom.
Significant digits 2017-08-06
From Pat:
The directions for a problem are: "Solve the problem, expressing your answer using the correct number of significant figures."

Problem 0.0043 divided by 2.04
Answer before using the correct number of significant figures is 0.002107843

Is the correct number of significant figures the number below?
2107843

Pat

Answered by Penny Nom.
Teams of 4 from 20 people 2017-08-04
From Christopher:
math team has 20 people on the team but only 4 can enter the competition. The team captain has to pick 4 of them but he knows that he cannot put James, Bill or Todd on the team with one another or there will be problems. what would the formula be to find the solution to how many possible team combinations the are
Answered by Penny Nom.
Ratios and proportions 2017-08-01
From khurram:
what is ratio and proportion? please give a detailed note on this topic, i am really panic of these calculations
Answered by Penny Nom.
A lock with 3 tumblers 2017-07-29
From Carol:
I have a lock that has 3 tumblers. The numbers are 0 - 9. I cannot recall what I set the combination to. How many combinations will there be with three numbers?
Answered by Penny Nom.
A 4 digit safe combination 2017-07-29
From Donna:
I lost my safe combination :( it is 4 digit # with the last digit being 2. I do not think the 1st digit is 1, 2 or 3
Can u help? Thank u :)

Answered by Penny Nom.
Factorials 2017-07-27
From dinesh:
Is there any shortcut formula for multiply series numbers. like
1x2x3x4x5.......x100 =?

Answered by Penny Nom.
A semi ellipse 2017-07-25
From Ian:
The arch of the bridge is in the shape of semi ellipse,with its major axis at the water level.suppose the arch is 20ft. High in the middle,and 120 ft. Across its major axis. How high above the water level is the arch,at a point 20 ft.from the center (horizontally). Round of 2 decimal places
Answered by Penny Nom.
An arched window 2017-07-24
From Gerry:
Looking to make a full size template for an arched window. Need increments every 16". The radius is 138' 0 9/16" , the chord is 226" and the rise at center of chord is 43"
Answered by Penny Nom.
Some 4 digit numbers 2017-07-24
From Camille:
I need all of the 4 digit combinations that starts with number 3 and digits can't be repeated
Answered by Penny Nom.
3 consecutive multiples of 11 2017-07-22
From nisha:
using the multiples formula shown at ypur site how can we solve finding 3 consecutive multiples of 11 whose sum is 363
Answered by Penny Nom.
A police officer spots a speeding car 2017-07-20
From Josh:
Marie, a police officer, spots a speeding car and starts chasing it. The speeding car travels at a speed of 130 feet per second. Marie's car reaches a constant speed of 145 feet per second 1725 feet from the start of the chase. During that time, the speeding car has traveled 3150 feet. Write a system of equations to represent this situation.
Answered by Penny Nom.
Catherine, Molly and Tom 2017-07-19
From liezel:
what is the answer of this problem, If Catherine and molly has 320pesos altogether, Molly and tom have 360 in all. Tom and Catherine have 240pesos altogether.How much does each of them have?
Answered by Penny Nom.
((a-5)/a)/(4/a) 2017-07-18
From Michael:
Find the Quotient:

((a-5)/a)/(4/a)

Answered by Penny Nom.
Parallel and Perpendicular lines 2017-07-17
From Karen:
Find an equation for the line with the given properties. Perpendicular to the line 7x + 2y = -6; containing the point (-2, -1)

Find an equation for the line with the given properties. Parallel to the line 5x - 3y =-6; x intercept = 3

Answered by Penny Nom.
An arithmetic sequence 2017-07-17
From abbi:
hi there im a student in 11 grade

ive been trying to do this task but i have no idea how to do it the question is
Find the common difference and the n^th term of the arithmetic sequence if the first term is 4 and the twentieth sum of the terms is 1030

Answered by Penny Nom.
Squares and rectangles 2017-07-15
From Tront:
So, there's a general rule that all squares are rectangles but not all rectangles are squares. Im trying to find a term that would describe this relationship. I've found that if all of A is B but not all B is A then I'd say that A is a subset of B, but is there a term that describes the relationship as a whole? I don't want to describe the components, I want to describe the relationship as a whole.
Answered by Penny Nom.
Two consecutive odd integers 2017-07-14
From Adeeb:
Find two consecutive odd positive integers, sum of whose square is 290.
Answered by Penny Nom.
Exponential form 2017-07-06
From estela:
what is exponential form of 9×1000
Answered by Penny Nom.
Of cows and men 2017-07-04
From Akash:
In a group of cows and man the number of legs is 32 more than the twice the number of heads.The number of cows is?
Answered by Penny Nom.
The equation of a circle 2017-07-03
From Chen:
Find the center radius and equation of a circle in standard form given the following conditions:

1. Tangent to 3x+2y=0 at the point (0,0) and passing through (1,-1) and (6,0)

Answered by Penny Nom.
y = g(x + 1) 2017-06-27
From Shamsudiin:
HI there i am currently doing a level maths AS

I don't understand how to graph this Question y=g(x+1) i really need help please please respond to this problem

Answered by Penny Nom.
How fast am I travelling? 2017-06-24
From corey:
if i travel 2 miles in 10 seconds, how fast am i travelling please
Answered by Penny Nom.
The number of truckloads to fill a hole 2017-06-18
From Jennifer:
How many full size truck bed pickup loads do in need to get to fill a hole that is 18' x 30' that is 4" deep?
Answered by Penny Nom.
Long division with decimals 2017-06-16
From Kenneth:
Hello:

Why is it recommended to move the decimal from a divisor when dividing so that the divisor is a whole number? I know how to divide by moving the decimal from the divisor, but I cannot explain the reason.

I thank you for your reply.

Answered by Penny Nom.
The surface area of a hexagonal pyramid 2017-06-16
From Emilie:
Hello, I need help with this question:

A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6. Find the total area of the pyramid.

Thank you in advance if you can help me...

Answered by Penny Nom.
What percentage did I take? 2017-06-14
From david:
you have $5.85 I took $1.06 from you,what percentage did I take? and the formula to solve it. Thank you
Answered by Penny Nom.
The smallest and largest 4 digit integers 2017-06-13
From Avneetpal:
Difference of the smallest and biggest 4-digit number
Answered by Penny Nom.
Three consecutive natural numbers 2017-06-11
From Anita:
Three consecutive natural numbers are such that the square of the middle number exceeds the difference of the square of the other two by 60. Find the numbers.
Answered by Penny Nom.
Solve the equation completely cos 2x = 1 2017-06-08
From Lava:
Solve the equation completely cos 2x = 1
Answered by Penny Nom.
A man drives 48km in 45 minutes 2017-06-03
From Jamal:
A man drives from Ibadan to Oyo a distance of 48km in 45 minutes. If he drives at 72km/h where the surface is good and 48km/h where the surface is bad. Find the number of kilometers of good surfaces
Answered by Penny Nom.
Simultaneous equations with fractions 2017-06-02
From Jamal:
1/x + 1/y =5 and 1/y - 1/x =-1
Answered by Penny Nom.
The maximum area of a rectangle with a given perimeter 2017-06-02
From Bob:
How would I go about finding the maximum area of a rectangle given its perimeter (20m, for example)?
Answered by Penny Nom.
4 digit codes with repeating digits 2017-06-01
From Morgan:
what are all possible 4 digit code repeating numbers? cuz i know that you have one website on it but, it doesn't repeat 2 numbers in a code.
Answered by Harley.
A cylindrical water tank with a leak 2017-06-01
From Alexander:
if a cylindrical water tank has diameter of 90cm and leak starts at the bottom 10 litres in an hour. how long will it take for the level to fall by 20cm
Answered by Penny Nom.
Five rational numbers between -2 and -1 2017-05-31
From Prince:
Five rational numbers between -2 and -1
Answered by Penny Nom.
3rd Grade math problem 2017-05-30
From Angela:
Following is a problem from my 3rd grader's homework assignment:
Solve. Draw a diagram to represent the situation.
Rachel has 20 one-inch beads. She wants to use all of them to make a square picture frame. What will be the length of each side?
Find Perimeter, Area, and Side Length

Answered by Penny Nom.
A square peg in a round hole 2017-05-29
From bill:
bill wants to put a 2 foot square peg into a round hole What must be the circumference of the hole?
Answered by Penny Nom.
A 25 acre strip 2017-05-29
From Va:
hello, can you pls help me....i have a property which has 300 ft width road frontage and my lot is 4700 ft deep to the back line of my property which i am told 27 acres. I want to only sell 25 acres...and go to the rear line with 4700 feet, but decrease the front width using the 300 ft measurement. how do i decrease the 300 ft width measurement by 2 acres? i am confused what the measurement would be..thank you....so to sum it i want to make 25 acres out of a measurement of 300 x 4700 ft long reducing the front measurement..thank you so much.
Answered by Penny Nom.
Algebra 2017-05-28
From Kerim:
I need to solve this equation.
y=at^2 - 2at
x =2a√t

Express y in terms of x and a

Give in the form y=(x^p/ma^3) - (x^q/na) where p,q,m and n are integers

Answered by Penny Nom.
A polygon inscribed in a circle 2017-05-27
From Levan:
This was the closest to what I am trying to solve. http://mathcentral.uregina.ca/QQ/database/QQ.09.06/s/dj1.html

So in the answer linked, we figure out what is "c".

But what if we know "c" and want to find out "n" based on specific "r=1".

It might be simple math, but I have not had any relationship with math for 20 years now but this question puzzles me for a reason.

Answered by Penny Nom.
Ordering fractions 2017-05-25
From Esmeralda:
How May i order this 30%,3/100,7/20 and 0.33 from least to greatest
Answered by Penny Nom.
Initial velocity 2017-05-23
From Annelle:
a body is thrown vertically downward from a height above the ground. determine the initial velocity and the height of the starting point if after 4 secs it reaches the ground with velocity of 68 m/s.
Answered by Penny Nom.
A trapezoid inscribed in a circle 2017-05-17
From Kameron:
I have been given a challenge problem that states that Diameter AB is drawn in a circle if 10 inch. Chords AC and BD are drawn so that each is of length 12inch and ACDB is a trapezoid. Find the height, in inches, of the trapezoid
Answered by Penny Nom.
A 40 acre square 2017-05-14
From Richard:
How many feet on each side of 40 acre square ?
Answered by Penny Nom.
A limit 2017-05-14
From Soham:
Find out the value of the following:
lim (x+x^2 +x^3 +.........x^n–n)/(x–1)
x→1

Answered by Penny Nom.
Two wires between two buildings 2017-05-11
From Bill:
I need to find the height of the intersection point of two building wires< br /> Building A is 860 feet high and building B is 480 feet high. The wires existent from the top of one building to The bottom of the other < br /> The distance between is 32 feet
Answered by Penny Nom.
What is the regular price? 2017-05-11
From Saira:
If the sale price is 55.50$ and the discount is 12% what is the regular price
Answered by Penny Nom.
Canada's population as a percentage 2017-05-11
From bethmarie:
What percentage of the world population (7.5 billion) is Canada's population (36 million). Thank you very much!
Answered by Penny Nom.
Yards per second to miles per hour 2017-05-11
From Scott:
If a soccer ball travels 30 yards or roughly .017 miles in 2 seconds how fast was the ball going in mph?
Answered by Penny Nom.
Slicing an inverted bowl at various heights 2017-04-30
From Joel:
Find a formula to calculate the circumferences of an inverted bowl at various heights.

E.g. Take an inverted bowl with a diameter of "x" cm and a depth / height of "y" cm.

How can I calculate the circumferences at distances of various heights above the base?

Alternately, what would be the formula to calculate the distance of the line segment resulting from a line which intersects both sides of a parabola in which that line is drawn parallel to the tangent of the vertex of the parabola at any given distance from the vertex?

Answered by Penny Nom.
Jamie has twice as many video games as Mel. 2017-04-27
From John:
Jamie has twice as many video games as Mel. Together, the boys have 24 games. how many games do each boy have
Answered by Penny Nom.
1 acre as a 2 foot wide strip of land 2017-04-25
From alan:
How can one convert 2 acres (a square - area) of land into a strip of land that is 2 feet wide and (?) feet long?
Answered by Penny Nom.
Filling cinder blocks with concrete 2017-04-24
From Katherine:
I am looking to construct a 10 X 10 dance floor using 8 x 16 cinder blocks.

I have figured that I will need about 120 blocks, however I am not sure how much concrete I will need to fill the total empty space.

Thank you

Answered by Penny Nom.
Selling price and markup 2017-04-24
From Julie:
What would the cost of an item be, if the sell price was $50 and the markup 48%
Answered by Penny Nom.
The length of a train 2017-04-24
From Stefano:
If a freight train is coming towards you and you were traveling at 85 miles an hour and it takes 35 seconds for the train to pass you how long is the train

Figure 50mph for train

Answered by Penny Nom.
Baseball Cards 2017-04-20
From Raquel:
A minor league baseball team gave away baseball cards to each person entering the stadium. One group receives 28 baseball cards. A second group received 68 baseball card. If each person entering the stadium receive the same number of cards, what was the greatest possible number of baseball cards that each person could have received?
Answered by Penny Nom.
A lost iPhone pass code 2017-04-17
From Sam:
I have a locked iPhone and it has all my of my holiday photos on it. I changed the password and then I think I did a incorrect number pattern but anyway I know it ends with 99 and the first 4 digits are 235 and 6 could you please send all of the combinations for this password (without the 99) Thx and plz get back ASAP I need it for school
Answered by Penny Nom.
sin x/ 1+cos x = 1-cos x/ sin x 2017-04-16
From duiren:
sin x/ 1+cos x = 1-cos x/ sin x
Answered by Penny Nom.
A function which is onto but not one-to-one 2017-04-16
From Avinash:
Define a function f(x):N-->N which is onto but not one-one.Where N is set of natural numbers.
Answered by Penny Nom.
A word problem about the dimensions of a lot 2017-04-16
From Charlotte:
If a house is 66x78 ft, how many feet out from the house around would be an acre to not include the house
Answered by Penny Nom.
Forming a cone from a circle 2017-04-15
From Tasha:
A sector of a circle subtends an angle of 216 degrees at the centre, If this sector is used to form a cone of vertical height ,8cm, calculate the base radius of the cone
Answered by Penny Nom.
Express x/a -2a/x =-1 in terms of a. 2017-04-14
From tony:
express x/a -2a/x =-1 in terms of a.
Answered by Penny Nom.
The cost of a piece of sheet metal 2017-04-14
From Mohammed:
I bought a 2 mm sheet plate of 1.2m × 2.4m in fijian $95. I used 1.95m × 0.4m from that sheet plate. What will be my total cost for the sheet plate I used. It was a mild steel plate.
Answered by Penny Nom.
Why does 10x10x10 give 1,000.0000000000001? 2017-04-12
From Randolph:
Hi, On your calculator I found that a box 10 by 10 by 10 inches has a volume of 1,000.0000000000001 cubic inches. Can you explain the numeral 1 thirteen places past the decimal? Thanks, Randy
Answered by Penny Nom.
Acres and perimeter 2017-04-12
From Peggy:
How many acres in 2700' circumference or perimeter
Answered by Penny Nom.
A rectangular box filled with oil 2017-04-11
From morpal:
we want to calculate volume of rectangular box height 1275mm and lengths 2400mm and breadth 1270mm and oil s. gravity is .950 how much kg. of oil i can store
Answered by Penny Nom.
Rational numbers between -2 and -3 2017-04-08
From Medha:
Find 12 rational numbers between-2 and -3
Answered by Penny Nom.
A circle inscribed in a 30-6-90 triangle 2017-04-07
From Kameron:
i have been given a problem with a 30-60-90 triangle and a circle inscribed with a radius of 2 and was told to find the perimeter of the triangle
Answered by Penny Nom.
Successive Differences 2017-04-06
From Twaha:
Please find the equation of the sequence 1 2 4 7 11 16 22
Answered by Penny Nom.
The height of a isosceles trapezoid 2017-04-03
From Riham:
Hi
How can I find the height in an isosceles trapezoid if I have the measurements of all of its sides ? Thank u in advance.

Answered by Penny Nom.
How to find last two or three digits of a large exponent like 17^256? 2017-03-30
From Raginee:
How to find last two or three digits of a large exponent like 17^256?
Answered by Penny Nom.
A puzzle with some integers 2017-03-30
From Glen:
Use 7,7,5,5 to equal 3 only using each # once and each math function once
Answered by Penny Nom.
13 - 3x = x times the square root of 5 2017-03-29
From Kevin:
A student I am tutoring was sent this question from his teacher.

Solve for x: 13 - 3x = x times the square root of 5

Answered by Penny Nom.
Is the square root of 2 plus the square root of 2 irrational? 2017-03-29
From haya:
how can i prove the the square root of 2 plus the square root of 2 is an irrational number?
Answered by Penny Nom.
How much money do I make per sq ft? 2017-03-28
From jackie:
If I make $12.00 per hour and I cover 750 sq ft in one hour, how much money do I make per sq ft?
Answered by Penny Nom.
Is a large integer divisible by 2^n? 2017-03-28
From Sahand:
You are given number x that is very large (that large that it can't be divided by hand) can we find out that x is divisible by 2^n or not?
Answered by Penny Nom.
Quadratic Equations 2017-03-28
From Natalie:

Hi Maths Central,

I am having trouble with quadratic equations. The question is:

Calculate the length 'l' of a rectangular pool by creating and solving a quadratic equation.

1. The rectangular pool is of equal area to a square pool, and a circular pool (5.70m^2).
2. The length of the rectangular pool must be 2m longer than the width 'w'.

Thank you so, so much for your help, Maths Central!


Answered by Penny Nom.
The sum and difference of two numbers 2017-03-20
From Olivia:
The sum of two numbers is 87 and their difference is 29. What are the two numbers
Answered by Penny Nom.
Differentiate y = x^x^x 2017-03-19
From Nafis:
differentiate y = x^x^x
Answered by Penny Nom.
Is infinite a number? 2017-03-18
From Divyansh:
Is infinite a number? If yes why as i think that numbers are used for counting but infinite is undeterminable?
Answered by Penny Nom.
Faster than as a percentage 2017-03-18
From Maximilian:
Hi, i have a strange issue with the phrase "faster than" in percentage, ie. if i have a 10MB/s connection, and somebody has a 7MB/s connection, is it 30% faster or 50% faster.- which ( affirmation, phrase, sentence ) is the right one:

a:) My 10MB/S connection is 50% faster than the 7MB/s ?
or
b:) My 10MB/S connection is 30% faster than the 7MB/s ?

Thanks in Advance, and please if you can teach me why !

Answered by Penny Nom.
2^a, 2^b, 1^1 and 1^0 2017-03-17
From Émile:
If you had 2^a = 4 and 2^b = 4 you could assume that a = b right? Yet we can observe that 1^1 and 1^0 both equal 1, yet 1 = 0 isn't true. So if given a log base 1 number 1 the would the answer be 1 AND 0?
Answered by Penny Nom.
Percentage change in productivity 2017-03-15
From Sunni:
I'm working on a graph and I need to find the percentage of increase from one figure to another. How do I do that? For instance our department started with a workload of 1773 in Jan and ended with 341 in Dec. In addition to that we received 2088 new items from Jan - Dec with an average of 5 workers. How do I find the percentage of increased productivity if any?
Answered by Penny Nom.
Solve 3x^2-19x-14=0 for x 2017-03-15
From nick:
I'm an 8th grader and am quite confused with this equation: 3x^2-19x-14=0

The answer is:
-2/3 , 7

But I'm not sure how to solve for it.

Answered by Penny Nom.
The ratio of two ages 2017-03-15
From Angel:
The sum of Keith's age and Alan's age is 36. Four years ago, the ratio of Keith's age to Alan's age was 4:3. Find the ratio of their present age
Answered by Penny Nom.
What is the grade of the incline? 2017-03-12
From Jon:
If I am climbing 16 feet in elevation over 80 feet horizontal. What is the grade of the incline
Answered by Penny Nom.
A regular tetrahedron 2017-03-12
From Jeramie:
When we have a regular tetrahedron, is it always true that all the angles of the triangles measure 60 degrees?
Answered by Penny Nom.
How much does the fish weigh? 2017-03-08
From Jeri:
Fish is caught that weighs 5 pounds plus half its weight. How much does the fish weigh?
Answered by Penny Nom.
More on calculating the area (acreage) of a four-sided lot 2017-03-06
From Kerri:

Can you please show the formula used to calculate areas as provided on this page:

Calculating the area (acreage) of a four-sided lot


Answered by Penny Nom.
Exponential form 2017-03-04
From michael:
I was teaching my student about exponent when we stumbled across this problem.

"write (-125)^-3 in exponent form"

The problem is with the number "-125". I think -125 = (-5)^3. But one of my student thought that it is -125= -5^3.
Both of them is equal to -125 but they totally different in structure. I wonder which one is correct and why it is. I am worried if they get this wrong, it might spell problem in the future when we start substituting the numbers with variable.
Thank you very much for reading my question and answering it.

Answered by Penny Nom.
Tons of sand 2017-03-01
From Elizabeth:
Hello my arena is 132.23 feet width by 132.23 feet length. I need to put 4 inches of sand. How many tons of sand do I need ?
Answered by Penny Nom.
The inside diameter of a silo 2017-02-28
From JOHN:
I need to find the inside diameter of a cement silo with an outside circumference 118 ft and a wall thickness of 7 inches. thank you John Kerr.
Answered by Penny Nom.
Building a hexagon enclosure 2017-02-26
From Kenneth:
Hello, I have a question for you. I have a special needs daughter and I want to install a ceiling fan into her room. The fan is 42 inches in diameter. I would like to build a wooden hexagon enclosure to protect the fan. I would like the enclosure to be at least 2 inches wider than the fan on each side measuring from flat surface across to flat surface. How do I figure out the length of each panel so that I can miter them and assemble it? Thank you for your time.
Answered by Penny Nom.
Covering a ceiling with tablecloths 2017-02-24
From DEANNA:
I am trying to cover a 16 x 31 foot ceiling with tablecloths. For sale, are 90 x 132 inch tablecloths for $4.97 a piece and 60 x 102 inch tablecloths for $3.85 a piece. Which would be my cheapest option to cover the entire space?
Answered by Penny Nom.
Filling a pool with two hoses 2017-02-20
From Charlene:
A large hose will fill a pool in 40 minutes while it takes a smaller hose 60 minutes to fill the same pool. The same pool takes 80 minutes to drain if the drain is open. Suppose one day both the hoses are turned on, but by accident the drain was left open. How long would it take to fill the pool that day?
Answered by Penny Nom.
Covering the ceiling of a garage 2017-02-20
From DeAnna:
I am trying to drape a 15 x 30 garage with yards of fabric. If the yard of fabric is 60 inches wide, would 10 1/4 yards be enough for my space?
Answered by Penny Nom.
A total amount of $27,500 invested at 5% and 7% 2017-02-19
From Brad:
Kristina invests a total of $27,500 in two accounts paying 5% and 7% simple interest, respectively. How much was invested in each account if, after one year, the total interest was $1,645.00.
Answered by Penny Nom.
A block base for a plywood rectangle 2017-02-18
From Joe:
How many cinder blocks 16x8 would i need to build a solid base for a plywood base 54inches wide and 30 inches deep Thank you
Answered by Penny Nom.
Addition and subtraction base 5 2017-01-29
From BABAWALE:
Simplify 342five +132five-223five
Answered by Penny Nom.
Vinculum 2017-01-27
From Dick:
What is the line or bar over a Roman Numeral called?

Eg. V with the bar over it representing 5,000 .

Answered by Penny Nom.
Feet per second to miles per hour 2017-01-27
From ron:
if a vehicle travels 50 feet in 2.5 seconds what is the speed in mph. 3600 sec in hour /5280 feet in a mile i get .68181818. how do i figure the 2.5 seconds. all the calculators I've used show 34 mph is that correct or am i forgetting the 2.5 second. please help.
Answered by Penny Nom.
The volume of a slab 2017-01-21
From Russell:
Working with a segment of a circle. The O.D. is 3.440" the length of the chord is 3.130 I need information on the volume of the largest area. I would like to know (in thousands of an inch) how tall would the largest area need to be to equal .1143 cubic inches If you need more info I can send it Thanks in advance
Answered by p.
Angular speed 2017-01-21
From Kenzi:
A wheel of radius 14 inches is rotating 45°/sec. What is the linear speed in in/sec and the angular speed in RPM? (Round your answers to three decimal places)

I already found the linear speed. I got 10.996 in/sec. I don't know how to find the angular speed.

Answered by Penny Nom.
The ratio of students to teachers 2017-01-20
From Dylan:
The ratio of students to teachers at a school is 19:1. How many students are there in each total number of people?
Answered by Penny Nom.
The average rate of change of cot(t) 2017-01-18
From Brianna:
Hello! It's been a while since I've taken a math course, and I'm stuck on a problem in my calculus course.
The question is this:

Find the average rate of change of the function over the given interval.
h(t)=cot(t) a) [5pi/4, 7pi/4]

Answered by Penny Nom.
Five equations 2017-01-16
From Muhammed:
A x 4 = E
B ÷ 4 = E
C + 4 = E
D - 4 = E
___________
& A + B + C + D = 100
what is the value of E

Answered by Penny Nom.
Form the quadratic equation which has given roots 2017-01-16
From Tharshini:
Given a and B are the roots of the quadratic equation x^2+4x+7=0. Form the quadratic equation which has the roots 3a-1 and 3B-1
Answered by Penny Nom.
One millionth of one percent of 90,000,000,000 2017-01-16
From Gene:
What absolute number is one millionth of one percent of 90,000,000,000
Answered by Penny Nom.
How do I establish the original List Price? 2017-01-15
From Bob:
(1) I have a net price item at $4,664.66 but do not have the discount percentage. I have been told I received 40%? How do I establish the original List Price and to confirm what discount I received?
Answered by Penny Nom.
A circle inscribed in an isosceles triangle 2017-01-14
From Sal:
There is a right isosceles triangle. Inscribed inside of it, is the largest possible circle. Ho do you find the value of the radius?

I want to find out a way of only using the rules/laws of geometry, or is that not possible.

Answered by Penny Nom.
8^3/2(2+2) 2017-01-13
From Mary:
8^3/2(2+2)
Answered by Penny Nom.
A rectangle with a given perimeter and area 2017-01-11
From Joe:
i have a math question for homework that i don't understand. can you draw a rectangle that has 18cm in perimeters and 20cm in areas. i tried but i can't.
Answered by Penny Nom.
An angle and its complement 2017-01-10
From Ysa:
If the measure of an angle is twice the measure of its complement, what is the measure of the angle?
Answered by Penny Nom.
Renting an electric cart 2017-01-07
From Desiree:
Vacation Rentals rents electric carts for travel on their grounds. The economy plan rents carts for $26 per day and the premium plan rents a carts for $12 per day plus a one time fee of $126.05
For how many whole days would it be cheaper to rent from the economy plan then from the premium plan?

Answered by Penny Nom.
A tolerance limit is 0.5% 2017-01-06
From Joe:
Dear Sir/Madam,

How can I describe the following.

My volume tolerance limit is 0.5%,regardless of quantity.

Say , My total volume output is 344,714 Litres and benchmark volume is 348,194 Difference of 3480Litres, this would give me a percentage of 0.999.

Which is above my tolerance.
How can I explain this high tolerance limit even though volume difference is minimal.

Regards

Joe

Answered by Penny Nom.
A parabolic arch 2017-01-05
From Rand:
It is most likely already been answered but I can not seem to find the right key words for the search engine?.

What I am looking for is, if you have an have arch/arc and you know the degree of slope and the height of the arch/arc from ground lvl; how do you factor the decreasing angle/#’s to get the distance tween the two feet on the assumption that the arch/arc is curved all the way to ground lvl?

a. where the legs widen continuously (till they hit ground) so yes parabolic &
b. where the legs come down straight after a ½ circumference run.

What I am focusing is the parabolic.

Many Thanks

Answered by Harley Weston.
Plans for dog kennels 2017-01-04
From Pat:
So... I'm trying to draw up a plan for my new kennel buildings. They are going to built out of grain bins. I know, cool,... right. Anyway the kennels will be along the outside of the circle and be shaped like wedges. the center will be a play area. All of the kennel sides are 6 ft in length so the size of the gate will determine how many kennels I can fit in each bin. If I want to put an odd number of kennels in and I cant draw a straight line across to make all of the wedges the same size... how do I figure out the angles...degrees ? maybe i'm making it too hard but i'd like to give the dogs as much space as i can. I did up some ... attached.
Answered by Harley Weston.
A rational number between -4 and -5 2017-01-03
From Anshika:
Write rational number between -4 and -5
Answered by Penny Nom.
Cutting a wire into 18 cm lengths 2016-12-29
From Shambhavi:
A long wire of some length is cut into small pieces of 216 cm leaves a small piece of length of 89 cm of this part were cut into equal pieces each of 18 cm the length of the left over wire would be
Answered by Penny Nom.
Water leaking from a trough 2016-12-28
From Kathryn:
A trough is 6 m long, and has uniform cross-section of an equilateral triangle with sides 1 m. Water leaks from the bottom of the trough, at a constant rate of 0.1 m3/min. Find the rate at which the water level is falling when the water is 0.2m deep.
Answered by Penny Nom.
An octagon from a square 2016-12-26
From Chris:
We have a square piece of wood (30 inches x 30 inches) that we need to cut into an octagon. Is there a simple way to figure out where to make the marks/points to cut? I mean like really simple?

Thanks!

Answered by Penny Nom.
20+30*0+1=? 2016-12-26
From Mr:
20+30*0+1=?
Answered by Penny Nom.
Write these numbers from greatest to least 2016-12-22
From lsaiah:
write the following numbers from greatest to least

3 1/2, 7/3, 80%, 2.5, 0.94

Answered by Penny Nom.
Simultaneous equations with fractions 2016-12-21
From Kimi:
I am stuck on this,can someone please help me????

1/2x+1/3y=11
8x+2/5y=102
Can someone please explain how to solve questions like these?? Or else I will never learn...
Thank you

Answered by Penny Nom.
Two concentric circles 2016-12-21
From shrestha:
Two concentric circles have radii of 14 cm and 7 cm respectively. Find the area of space between them.
Answered by Penny Nom.
The inverse of y=x^2+x+c 2016-12-21
From Sam:
What is the inverse of y=x^2+x+c for x?
Answered by Penny Nom.
The inverse of y = x(x - 2) 2016-12-21
From Sasha:
Hello, I recently stumbled upon this question and I haven't been able to figure it out.

Why is the inverse of y=x(x-2) not a function?

Suggest a domain restriction which would ensure that the inverse is a function.

Thank You :)

Answered by Penny Nom.
The area and radius of a circle 2016-12-19
From india:
How do you find the radius of a circle if only the area is given to you?
Answered by Penny Nom.
Joining a fitness center 2016-12-18
From Salem:
A fitness center offers a special price for group-class students. The cost of registration is 30 dollars and then you have to pay 25 dollars per month. What is the rule of the equation in the light of
c=---m+----?

Answered by Penny Nom.
980 cubic yards of dirt 2016-12-17
From Jondi:
I am trying to visualize 980 cubic yards of dirt by using a metaphor.
Would this be the size of a car?
A fire engine?
A semi-trailer?
How many trucks would you need to haul away 980 yards of dirt?

Answered by Penny Nom.
1/1-cosine(2x) - 1/1+ cos(2x) 2016-12-14
From Sean:
1/1-cosine(2x) - 1/1+ cos(2x)
Answered by Penny Nom.
Divisibility of 3n^5+7n 2016-12-14
From Parag:

Question from Parag, a student:

if n is a natural number,then 3n^5+7n is divisible by
a)2
b)3
c)5
d)7

i got the answer but still i need a valid alternate approach.


Answered by Penny Nom.
3^2x-5=27 2016-12-14
From danaja:
solve for the following 3^2x-5=27
Answered by Penny Nom.
How far apart are the boats? 2016-12-13
From Halley:
Two boats leave port at the same time. Boat A travels east at a speed of 12 km/hr. Boat B travels southwest at a speed of 14 km/hr. After two hours, how far apart are the boats? North is 0 degrees. How do I figure this out. Thanks
Answered by Penny Nom.
x^2 = -16 2016-12-12
From A student:
x to the second power = -16

what number solves the equation?

Answered by Penny Nom.
The area of a city block 2016-12-08
From Miura:
A city block is three times as long as long as it is wide.if the distance around the block is 0.48 kilometers, what is the area of the block in square meters?
Answered by Penny Nom.
A sales tax of 7% 2016-12-07
From Kenneth:
Hello:

If a sales tax of 7% is placed on every $1.00 of merchandise for sale, is it correct to indicate the tax as 7%/ per $1.00 or 7%/$1.00? If the calculation is expressed as 7%/$1.00 X $5.00, the tax is not $0.35 but 0.35. Is a tax rate of 7% incorrectly represented as 7%/$1.00 since the dollar unit cancels from the multiplication?

I thank you for your reply.

Answered by Penny Nom.
The sum of three integers is 30 2016-12-06
From Vaishnavi:
_+_+_:30. Blanks are to be filled by(1,3,5,7,9,11,13,15) and numbers can be repeated.
Answered by Penny Nom.
Profit and loss on two shirts 2016-12-06
From Mahesh:
A man purchases one shirt and one T-Shirt for Rs. 6000. He sells the shirt at a profit of 20% and T-Shirt at a loss of 10%, as a result he gains 2% on whole transaction. what is the cost price of the T-Shirt ?
Answered by Penny Nom.
Two boys on the same route 2016-12-06
From Abbey:
Starting from the same spot, one boy completed a route in 9 minutes and another boy completed it in 15 minutes. When will both boys be at the same starting point at the same time again?
Answered by Penny Nom.
Three friends bought 13 books 2016-12-06
From alexis:
Marina bought 4 books José bought as many books as Ben bought together the 3 friends bought 13 books how many books did Ben buy
Answered by Penny Nom.
Gallons and cubic inches 2016-12-05
From Theresa:
If I did not know the cubic inches in a liquid gallon how would I find it? In other words what is the formula for this?
Answered by Penny Nom.
A pie chart 2016-12-05
From vickie:
Determine the central angle needed to form a pie chart for the following housing characteristic data: 63% owner occupied, 27% renter occupied, and 10% vacant
Answered by Penny Nom.
Covering a floor with plank flooring 2016-12-04
From sandra:
my bathroom is 5'x6'.2"
i want to purchase plank flooring which covers 19.8 sq ft per box.
how many boxes would i need.

Answered by Penny Nom.
The diagonals of a cube 2016-12-02
From Peter:
when u have a cube and the inner diagonal is 41.6 how long is the outside diagonal
Answered by Penny Nom.
Building a pyramid 2016-12-01
From Jesse:
I'm trying to build a 30"by30"by 18.25"tall pyramid,what should my cutting measurements be?
Answered by Harley Weston.
Acres and miles 2016-11-30
From Carolyn:
If I am running a pipeline of 1,100 miles, how many one acre plots will it take to cover this distance?
Carolyn

Answered by Penny Nom.
Is every rectangle a rhombus? 2016-11-28
From Robert:
not every rectangle is a rhombus.true or false? if false please leave a short explanation. thank you:)
Answered by Penny Nom.
A stone walkway around a garden 2016-11-27
From Abigail:
A garden measures 12 feet by 16 feet. The family would like to add a stone walkway around the garden. This would increase the total area of to 302.25 square feet. what will be the width of the of the walkway
Answered by Penny Nom.
Two tangent circles 2016-11-27
From mikee:
find the equation of a circle tangent to the circle x2­+y2=4 and with the center at (0,5)
Answered by Penny Nom.
A circle inscribed in an equilateral triangle 2016-11-27
From jo:
what is the radius of the inscribed circle of an equilateral triangle with altitude 12 units?
Answered by Penny Nom.
2^x= -2x - 11 2016-11-27
From Kathy:
I don't know how to start this problem:
2^x= -2x - 11

Answered by Penny Nom.
The weights of two boxes 2016-11-25
From dearbhla:
One box weighs 3 3/7kg. Another box weighs 1 5/6 as much. How heavy is the second box?
Answered by Penny Nom.
Simultaneous equations 2016-11-25
From Rohan:
x-2/3 + y - 1/4 = 13/12
2-x/2 + 3 + y/3 = 11/6

Answered by Penny Nom.
Radius angle and arc length 2016-11-24
From pavidthra:
Length or arc 11 and angle of subtended 45.need to find a radius
Answered by Penny Nom.
Multiplication and repeated addition 2016-11-23
From Anandmay:
Hello I was looking closely at early arithmetic where I found how we discovered properties of Arithmetic. Like:2 x 3 = 3 x 2. This can be proved by considering a 2-D figure(actually,quadrilateral) having length consisting of 2 boxes of 1-by-1 dimensions and breadth of 3 boxes of the same dimensions. Now,consider it again,but,this time,length of 3,and breadth of 2 of such 1 by 1 boxes. We now notice that we can fit the 2 types of rectangles formed on each other precisely. So the multiplicative property of commutativity is true for all natural numbers as we can generalize the result(in our mind,for self satisfaction).

Now,can you find me a nice satisfactory reason of why a fraction times a natural number equals the number times the fraction? I mean, for example,i can understand the meaning of 3 x 2/3 to be three times 2-3rd,that is, 2/3+2/3+2/3.Fair enough. But here is the problem:By definition and actual meaning of multiplication, a x b means the repeated sum of b,done 'a' times. So what is the meaning of doing 2/3 x 3?The repeated addition of 3 how many times??2/3 times??Not making sense,right?And even we have not proved yet the commutative property of numbers INCLUDING fractions.So how can we resolve this problem and make these things meaningful?
Thanks

Answered by Penny Nom.
Why are equivalent fractions equal? Part 2. 2016-11-22
From Anandmay:
Hi! I saw one of your answered questions:Why are equivalent fractions equal? The same question I had for why i searched and ended up entering this wonderful site. The answer was so much experimental based.I mean,for example,it was explained how 3/4 was equal to 6/8 by dividing a unit into 4 equal parts and taking four of the parts,and then dividing the same unit into 8 equal parts and then taking 6 of them.The result was that both the taken parts were equal. (That is,3 out of 4 equal parts were equal to 6 of the 8 equal parts.) But,this was very much non-generalized and experimental-based result(proof). And we all know that in mathematics,we confirm some particular thing for all the numbers iff we generalize it.

So,can you explain more clearly 'HOW' the 3 parts of the 4 equal parts and the 6 of the 8 equal parts of the unit equal(that is the same)?I don't want experimental proof.I want clear proof,and thus please give a generalized proof for all fractions and their equivalents.
Thanks!

Answered by Penny Nom.
A square inside a circle inside a square 2016-11-13
From Jeff:
Greetings,

I came across a question from a textbook from years ago. I've been trying to solve it, but am not sure if my approach is correct.

There are 2 squares (1 inner, 1 outer) & 1 circle.

The inner square is the largest square that will fit inside the circle. It has an area of 1 unit.

The circle is the biggest that will fit in the outer square.

What is the area of the outer square?

Answered by Penny Nom.
The amount of material remaining on a roll 2016-11-11
From Yoh:

Question from Yoh:

Hello,
I am trying to find impressions on a roll (either full roll or partial).
Let's say I have the following information.
- Outer Diameter of roll
- Inner Diameter of roll (cardboard core)
- thickness per layer
- Each cut off length (impression length)

Now let's say a roll has a 40in outer diameter, the cardboard core has a 3.75in diameter and a thickness of .002. Each impression has a cut off of 14inches.
With this the roll will have approximately 2,700 impressions. How would I find the remaining impressions if the outer diameter of the roll is only 6.5inches?

Thank you.


Answered by Penny Nom.
A fish and eight parakeets 2016-11-11
From Cindy:
Cindys fish weighs 8 times as much as her parakeet. Together the pets weigh 63 ounces. How much does the fish weigh?
Answered by Penny Nom.
4444 base five 2016-11-11
From John:
If 4444 is a number in Base5, is 624 its value?
Answered by Penny Nom.
An equation with fractions 2016-11-09
From Tina:
How do you solve x+1/3=x+2/5. X+1 divided by 3= x+2 divided by 5. What's x=
Answered by Penny Nom.
Volume of liquid remaining in a tilted cylinder 2016-11-08
From Brian:
I am trying to determine the amount of a liquid remaining in a 55 gallon drum when it is tilted at 45 degrees and the liquid level is low enough so that the liquid does not completely cover the bottom of the drum.

Your help is greatly appreciated.

Answered by Harley Weston.
The area of a rectangle 2016-11-05
From Ivan:
If the vertices of a rectangle are a(1,3),b(3,-4),and c(1,-4),find it area.
Answered by Penny Nom.
A key for a lock with five tumblers 2016-11-02
From Aeriel:
A lock works by having a key turn a sequence of tumblers. Consecutive tumblers have different heights, and in order to unlock the lock, the sequence of heights on the key must exactly match those of the lock. The picture below shows a lock with four tumblers. How many different keys can be made for a lock that has 7 tumblers with 5 possible heights each?
Answered by Penny Nom.
A problem with a recipe 2016-10-31
From Ted:
Recipe calls for 3 1/2 c of sugar & 4 c of water. I only have 3c of sugar how much water do I use
Answered by Penny Nom.
Three circles 2016-10-30
From yolani:
two equal circles with centre A (1;1)and B (4;5)touch a third circle with centre P as shown in the diagram. If P ,A and B Lie on a straight line find the coordinates of P
Answered by Penny Nom.
A pattern rule for a sequence 2016-10-28
From Grace:
Here's a Grade 7 question, we need to find the pattern rule:

1 - 1
2 - 3
3 - 6
4 - 10
......
It may involve exponents, but we can't seem to figure it out.
thank you.
Grace.

Answered by Penny Nom.
The derivative of the inverse of a function 2016-10-28
From Kate:
Hi, I'm in a College level Calculus course and I can't seem to figure out the answer to this question.
Find the derivative of f^-1(4) if f(3)=4 and f'(3)=1/7

Answered by Penny Nom.
Parallel lines 2016-10-26
From Jordan:
(7,-5) 3x -4y=5
Answered by Penny Nom.
A word problem at the fair 2016-10-25
From Rick:
Have 48 tickets to spend, have to spend them all in exactly 10 events. Rides cost 6 tickets games cost 4 tickets & treats cost 3 tickets
Answered by Penny Nom.
The volume of a hexagonal pyramid 2016-10-21
From Elizabeth:
Find the height of a hexagonal pyramid with a volume of 1320 ft ^3. The area of the base is 120 ft^2.
Answered by Penny Nom.
How many marbles does Haley have? 2016-10-19
From Pat:
Sabrina has 1/4 the marbles as Haley.
They have 305 total. How many marbles does Haley have?

Answered by Penny Nom.
A mixed number as a percent 2016-10-18
From Jayda:
how go you change a mixed number into a percent

Ex. 3 3/4

Answered by Penny Nom.
y = mx + c and Ax + By + C = 0 2016-10-18
From Erick:
please explain to me how to convert an equation from the form y=mx+c to Ax+By+C=o form.
Answered by Penny Nom.
The degree of 2x + 7 2016-10-17
From Deejay:
How about when the given has no degree and the other has a constant only, For example 2x + 7, where's the leading term and what is its leading coefficient?
Answered by Penny Nom.
Travelling upstream and downstream 2016-10-17
From Kathleen:
It took a boat 2 hours to reach town A going upstream. The way back was 1h20 min. What is the speed of the boat in still water if the speed of the stream is 3 mph?
Answered by Penny Nom.
A circle formed from bending a wire 2016-10-16
From Deszaree:
The same piece of a wire is bent to form a circle
calculate:
a, the radius of the circle
b, the area of the circle

Answered by Penny Nom.
A probability question concerning eggs 2016-10-16
From Brian:
Two participants are alternatively selecting eggs from a basket of 6 hard-boiled eggs and 6 uncooked eggs. Alternatively they are smashing the eggs on their foreheads. One participant gets 4 hard boiled eggs in a row and the other person gets 4 uncooked eggs in a row. What is the probability of this occurring (I watched this happen).

Thank you

Brian

Answered by Penny Nom.
A linear relationship 2016-10-16
From Bianca:
x represents the number of hours since 8am. y represents the number of children the school nurse has seen during the school day. The nurse has seen 3 children by 8am and 27 children by noon.
How many children has the nurse seen at 2pm?
If the nurse has seen 18 children, what time is it?

Answered by Penny Nom.
An airplane schedule 2016-10-14
From Stephanie:
Starting at 8:00a.m., a passenger plane leaves from an airport every 6 minutes and a cargo plane leaves every 7 minutes. When is the next time these kinds of planes will leave at the same time?
Answered by Penny Nom.
Selina saved $6 on a 20% off sale 2016-10-14
From Myra:
I don't know how to help my child answer this question - Selina bought a shirt on sale that was 20% less than the original price. The original price was $6 more than the sale price. What was the original price?
Answered by Penny Nom.
A five digit number 2016-10-12
From Massa:
Explain why any four digit number is less than any five digit number?
Answered by Penny Nom.
Subtraction of two numbers in different bases 2016-10-07
From Wica:
Hello,

So happy I found this site. I am having problems with bases. My question is :
Please perform the subtraction between two number over different bases :
A. (5874)base 12 - (216)base 9
B. (216)base 9 - (5874)base 12

Answered by Penny Nom.
How far is the boat from the harbour? 2016-10-06
From Karabo:
a boat sails 30 km due east from a harbour. Then it sails 40 km due north. How far is it from the harbour?
Answered by Penny Nom.
A kinky curve 2016-10-06
From tammie:
Koch’s kinky curve is created by starting with a straight segment and replacing it with four segments, each 1/3 as long as the original segment. So, at the second stage the curve has three bends. At the next stage, each segment is replaced by four segments, and so on. How many bends does the curve have at the third stage?
Answered by Penny Nom.
The remainder theorem 2016-10-04
From A student:
need help with this
f(x)=4x^4-15x^2-4; x-2
using the remainder theorem to find the remainder

Answered by Harley Weston.
A triple product 2016-10-03
From sam:
Let a and b are vectors such that
Vector a = (1,1,2)
Vector b = (2,-1,1)
And let vector c be a unit vector such that triple product of a,b,c is minimum . We have to find the value of c.

[Thoughts]
I thought triple product of a b, c means the volume occupied by parallelepiped. And we have to do volume minimum

Answered by Penny Nom.
The equation of a line 2016-10-01
From Miriam:
write the equation of the line that passes through (6,7) and is perpendicular to 3x+5y=0
Answered by Penny Nom.
The equation of a circle 2016-09-30
From Trent:
write the equation of circle B with center B(-2,3) that passes through (1,2)
Answered by Penny Nom.
Hexagonal pyramid bevel angles 2016-09-30
From Peter:
I have seen your response to a similar question from Steve which Chris and Harley responded to, however I am not familiar with some of the terms. Is there a formula that I can enter my details in which will give me the specific angles I require. The item I am constructing is much larger than the one you responded to previously. Thank you for any assistance you are able to provide.
Answered by Penny Nom.
Powers 2016-09-29
From Ezra:
i cant figure out this question. Can you please help
ezra

product of power (6x4)3

Answered by Penny Nom.
A 2 million gallon tank 2016-09-28
From Kimberly:
I have a tank that is shaped like a cylinder, and it has to hold 2 million gallons of water. There is a height limit of 30 ft. I know the equation is V=pi x r squared x h but I don't know if I need anything For the square foot of water.
Answered by Penny Nom.
Jenny, Charles and Chase have some butterflies 2016-09-26
From Kyla:
Jenny cares 7 times as many butterflies as Charles. Charles catches 2 times as much as Chase. All together they have 560 butterflies. How many butterflies does each person have? Please help, I am very confused on how to solve the problem.
Thank you!

Answered by Penny Nom.
A car chase 2016-09-25
From Ms.:
Car 1 is traveling down the road at 50 mph and passes Car 2 is sitting on the side of the road. Car 2 needs to catch Car 1 one half mile down the road. How fast must Car 2 drive to catch Car 1 if Car 2 waits 10 seconds before pursuing Car 1?

Yes, the assumption is that the Car 2 can accelerate from a standing position and over take Car 1 rate. What is the answer or formula for this type of question?
Respectfully
Befuddled Mom?

Answered by Penny Nom.
How fast and how far must Car 2 travel before catching Car 1? 2016-09-25
From Ms.:
Car 1 is traveling down the road at 50 mph and passes Car 2 is sitting on the side of the road. Car 2 needs to catch Car 1 one half mile down the road. How fast must Car 2 drive to catch Car 1 if Car 2 waits 10 seconds before pursuing Car 1?

Yes, the assumption is that the Car 2 can accelerate from a standing position and over take Car 1 rate. What is the answer or formula for this type of question?
Respectfully
Befuddled Mom?

Answered by Penny Nom.
2,006-1-2-3-4-...-48-49-50 2016-09-24
From Mimi:
Compute the following:

2,006-1-2-3-4-…-48-49-50

Answered by Penny Nom.
The length of stock on a roll 2016-09-23
From Ken:
I have a roll that is 13.5 inches wide ( OD) , and is wound on a 3 inch core. the thickness of the material is 3.5 thick.
Do you know of a formula that can calculate the linear feet on that roll??

Answered by Harley Weston.
Standard form 2016-09-22
From anna:
ok. i have b=2/3x+5/7. im supposed to change it to standard form. how do i do that?
Answered by Penny Nom.
The width of a 300 foot long rectangular acre 2016-09-21
From Debbie:
If 2 sides of a 1 acre plot is 300 feet each what are the other 2 sides? The acre is a rectangle.
Answered by Penny Nom.
The distance around a warehouse 2016-09-21
From Chuck:
How far do I walk when I walk around a 751,000 sq. ft. warehouse?
Answered by Penny Nom.
Two equations 2016-09-17
From Nilesh:
How to solve (x-y)^1/2 + 3(x-y) = 30 ; xy + 3(x-y) = 11?
Answered by Penny Nom.
Integrate (x^2 - 4x + 4) ^4/3 2016-09-15
From Ifah:
Hi i have questions please answer
Integral 2 sampai 3 dari (x² - 4x + 4) ^4/3 dx

Answered by Penny Nom.
20/2 + 2 * 2^2 + 6 = 8 2016-09-15
From Simone:
20/2 + 2 * 2^2 + 6 = 8

insert brackets to make this true

Answered by Penny Nom.
The radius of a coffee cup 2016-09-12
From Brett:
What is inside radius, in centimeters of a coffee cup if it holds 350g of coffee when filled to a depth of 9.5 cm? Assume coffee has the same density of water, 1.00g/cm3. A numeric value is expected and not an expression.
Answered by Penny Nom.
Four digit numbers 2016-09-08
From ning:
0000-9999 there is ten thousand 4-digit numbers. How to find the number of ways that 4 digit are the same? How to prove it by using formula?
Answered by Penny Nom.
The equation of a ski slope 2016-08-31
From Hannah:
The information provided is
---A ski slope has a slope of -0.2. You start at an altitude of 10,000ft. Then the question is "Write the equation giving altitude (a) as a function of horizontal distance moved (d).
I know this is probably a very simple question but I didn't take a math class my senior year and now I'm a freshman in college, so some of it is very frustrating to me.
Any help is much appreciated, thank you!

Answered by Penny Nom.
The dimensions of a rectangle 2016-08-31
From Hazym:
How do I find the length(which is 15m longer than the breadth) and the breadth of a rectangle just by its perimeter which is 70 m?
Answered by Penny Nom.
Exponential form 2016-08-31
From Lily:
Hi! I was wondering, I was having a little issue understanding this one problem. It was "write 81 in exponential 2 different ways" and I already got 9(2) but I was wondering what the second one could be! Thanks! -Lily
Answered by Penny Nom.
Todd Matt and Jeff 2016-08-30
From Lisa:
Three brothers spent different amounts of money on their recent vacation.
Matt spent $25 less than Todd.
Jeff spent 3 times as much as Matt.
How much did each brother spend if they spent a total of $275?

Check answer required
T= Todd

Answered by Penny Nom.
Two sequences 2016-08-20
From Ting:
The first four terms of a sequence are 4, 20, 56 and 120. By comparing with the nth term of sequence 1,5,14 and 30 which is 1/6n(n+1)(2n+1), find a formula for nth term. Can you precisely show out how you do this questions ( with the steps please)
Answered by Penny Nom.
I bought 3 books for $150.00 2016-08-20
From Shavon:
if i bought 3 books for $150.00 and 1 of the books cost 50% more than both other books combined what's the price of the more expensive book?
Answered by Penny Nom.
A suspension bridge 2016-08-18
From sai:
The main cable of a suspension bridge has the shape of a parabola. The cables are strung from the top of two towers, 61 metres apart, each 15.25 metres high above the roadway. The cable is 1.5 metres above the roadway at the point that is directly between the towers.

h(x)=a(x-30.5)^2+1.5
where a is the constant and its value to be determined.

a) determine the value of the constant a by using that the fact that height of the suspension cable, h(x) is 15.25 metres at each tower. Hence, write the updated model equation.

Answered by Penny Nom.
The ages of 10 children 2016-08-17
From Diann:
Sum total of the ages of 10 children 10 children is 110, what are their ages if all are 2 years apart?
thank you

Answered by Penny Nom.
5/8 of 16 2016-08-14
From Michael:
What is the fraction of 5/8 of 16
Answered by Penny Nom.
A search area 2016-08-13
From tammy:
if your searching an area and you go 300 km from point A and search 380° what or how much area would you search?
Answered by Penny Nom.
Covering an octagonal region with sand 2016-08-13
From Lynn:
How much sand is needed to fill a 20 ft. wide octagon area 6 inches deep?
Answered by Penny Nom.
The area of a circle 2016-08-12
From sandeep:
if circumference of a circle is πd what is the area?
Answered by Penny Nom.
Five consecutive even integers 2016-08-12
From Marcelle:
The average of 5 even consecutive numbers is 112. What is the largest numbers?
Answered by Penny Nom.
A ship and a light 2016-08-11
From Kirby:
A ship is sailing due west when a light is observed with heading 297°50' from the ship. After the ship has travelled 2250 feet, the light heads 311°55' from the ship. If the course is continued, how close will the ship approach the light?
Answered by Penny Nom.
A 15% discount 2016-08-09
From eunice:
brian brought a printer sale at the store. the discount was 15%, and brian saved 550. what was the printer original price?
Answered by Penny Nom.
Two lots 2016-08-08
From Deniece:
I have 2 lots that are joined together. One lot is 38' X 105' and the other is 45' X 105'. What is the total in acre size. Or, how close are these lots to make one full acre? I want to sell both lots and want to advertise using the total lot size. Thank you.
Answered by Penny Nom.
Carlos, Mark, Jeremy, and Alan collect Yugioh cards 2016-08-08
From justin:
Carlos, Mark, Jeremy, and Alan all collect Yugioh cards. Mark has twice as many cards as Jeremy. Carlos has 3 times as many cards as Jeremy, and Alan has collected 12 less than 3 times as many cards as Jeremy. Together the four players have collected 456 cards. How many does each person have?
Answered by Penny Nom.
Spraying an acre 2016-08-07
From Sara:
I have a spray rig that is 80' wide. How many feet must I go to have sprayed an acre?
Answered by Penny Nom.
A cone inscribed in a hemisphere 2016-08-07
From anonymous:
A cone is inscribed in a hemisphere. the slant height of the cone is 20cm. When cut along its slant height, the cone forms a sector of a circle.
find the angle of the sector, to the nearest 1 decimal place.

Answered by Penny Nom.
The diameter of a cylindrical tin 2016-08-04
From Scott:
a cylindrical tin is 15 inches high and holds 5 gallons of paint when it is full. Find the diameter of the tin.
(1 gallon = 0.1605 cubic feet)

Answered by Penny Nom.
The sequence 13 17 23 27 33 37 2016-07-29
From Shriya:
The first term of a sequence is 13.
The following terms are found by alternately adding 4 and 6 to the previous term. The first six terms are 13 17 23 27 33 37.
Find the 80th term.

Answered by Penny Nom.
The modulus of a complex number 2016-07-29
From Cheyenne:
There's a question on my Summer Assignment I cant figure out. Here it is:

Find the absolute Value of the complex number. -5i

Please help?

Answered by Penny Nom.
The circumcentre of a triangle 2016-07-28
From Raj:
If the vertices of triangle ABC are A(-4,-1) B(1,2) C(4,-3) then find coordinates of circumcentre of triangle
Answered by Penny Nom.
The dimensions of a rectangle 2016-07-25
From Krunox:
A rectangle is twice as long as it is wide. Its perimeter (the sum of the lengths of its sides) is 60 cm. Find its length and width.
Answered by Penny Nom.
A cubic equation 2016-07-25
From Chinmay:
x³-2x²-7x+5
Answered by Penny Nom.
The number of sides of a polygon 2016-07-23
From Shriya:
All the angles of a polygon are either 155° or 140°.
There are twice as many angles of 155 °or 140°.
Find the number of sides of the polygon

Answered by Penny Nom.
The temperature inside and outside a greenhouse 2016-07-22
From Mehzad:
Every day, the temperature in a greenhouse is at its low temperature, 70 degrees Fahrenheit, at 2 a.m. and at its high temperature, 84 degrees Fahrenheit, at 2pm. Its temperature increases linearly between 2 am and 2pm , and decreases linearly from 2 pm and to 2am. The outside temperature follows the same linear patterns, but has a low temperature of 60 degrees Fahrenheit at 2 am and a high temperature of 78 degrees Fahrenheit at 2 pm. At which of the following times will the temperature inside and outside the greenhouse be the same?

a) 8:00 am
b) 12:00 noon
c) 4:00 pm
d) The two temperatures will never be the same

Answered by Penny Nom.
Two equations with fractions 2016-07-22
From kanesh:
p/2+q/3=3

p/4+2q/3=3

Answered by Penny Nom.
Which term of this sequence has value 8? 2016-07-20
From Lauren:
Hi there

Which term in the sequence -2; -5/3; -4/3 ; -1; ... has a value of 8.

Since term 2 and 3 of this sequence contain fractions which can be converted to recurring decimals. What is the best way to work out the common difference here.

I do however understand that to work out the nth term of an arithmetic series, the following formula Tn = a + (n-1)d. In this series a = -2

Answered by Penny Nom.
Writing numbers in the form a/b 2016-07-17
From Edward:
How to write these numbers in form of a/b: -7, 0.175, -3.25, 37/10, -16, 1/3, 2.04
Answered by Penny Nom.
A congruence theorem for two right angled triangles 2016-07-17
From Sayari:
Hello. Is it possible for two right angled triangles to have the same length of base and height and a different hypotenuse? If not so, then why in the congruence criteria RHS the hypotenuse is given more importance? It can also be like- 'two triangles are congruent if they are right angled and have the same base and height.' Thank You.
Answered by Penny Nom.
The composition of a function with itself 2016-07-17
From Mel:
If f(1 + 3x) = 1 * x, solve f(f(x))
Answered by Penny Nom.
If x+y=7 and x^2+y^2=42, then xy equals? 2016-07-17
From Mehzad:
If x+y=7 and x^2+y^2=42, then xy equals?
Answered by Penny Nom.
A train from Erie to New York 2016-07-14
From carol:
a train leaves Erie with twice as many women as men. At York, 17 men get on and 16 women . How many men and women were originally on the train?off. There are now the same number of men as women
Answered by Penny Nom.
Lisa went for a run 2016-07-14
From Olive:
Lisa ran 3km north and then 4 km east what was her total distance
Answered by Penny Nom.
The perimeter and area of a shape 2016-06-30
From Scott:
If I have a 16 x 32 rectangle the square feet is 512. So if I take a rope 96 feet long , which is the lineal feet of the rectangle, and manipulate it to any shape I want does the square footage inside the rope stay at 512 square feet? Thanks in advance!
Answered by Penny Nom.
A 1.4 acre square 2016-06-28
From Jamie:
Dear Faithfullness,

I was previously to be purchasing a square 1 acre plot, which I believe was to have 209feet, 4 sides perimeter.

How big would a 1.4 acre site be?
In sq feet length ie original 209ft + (the adeed 0.4)

Answered by Penny Nom.
Triakis 2016-06-27
From Gordon:
Some authorities treat "triakis" (and related terms "dyakis", "tetrakis", etc.) as attached prefixes; others treat them as separate adjectives. Thus I see one of the Catalan solids described as both "triakistetrahedron" and "triakis tetrahedron". Which usage is correct?
Answered by Chris Fisher.
Slope 2016-06-27
From Ashiq:
What is 1% slope if length 101 feet?
Answered by Penny Nom.
Subsets 2016-06-26
From Kats:
How Many sub sets are in set k={6,7,3}
Answered by Penny Nom.
find f+g 2016-06-26
From yzabelle:
find f+g
f(x)=x^2-1
g(x)=square root of x+2

Answered by Penny Nom.
An equation involving pi 2016-06-26
From Diaz:
How would you solve :

( pie*X)/ 4 = -pie/2

I have no idea.what to do!

Answered by Penny Nom.
Simultaneous equations 2016-06-25
From sena:
2x/3+3y/2=-1
4x-5y=22

simultaneous equation

Answered by Penny Nom.
Sin squared (x) + Sin (x) - 2 2016-06-25
From Sree:
Reduce the below to a single term

Sin squared (x) + Sin (x) - 2

Thanks

Answered by Penny Nom.
An open ball is an open set? 2016-06-23
From Aqeel:
Theorem: The open ball is an open set?
Answered by Harley Weston.
Cubic feet of soil 2016-06-19
From H:
A garden is 8 ft x 7 ft that needs to raised 6 inch's How many cubic feet of soil required ? What am I missing ?

Thanks

H

Answered by Penny Nom.
Profit 2016-06-15
From Toyia:
12.87 profit from 21.99 sale. What is the percentage that was taken off the 21.99
Answered by Penny Nom.
Quadrilateral 2016-06-14
From Muhib:
Is there a quadrilateral with 0 sets of parallel sides.
Answered by Penny Nom.
A ratio of boys to girls 2016-06-12
From Jasper:
There are 600 pupils in a school. The ratio of the boys to girls in the school is 3:5 how many girls and how many boys are in the school
Answered by Penny Nom.
The difference between the ares of two rectangles 2016-06-09
From Ingrid:
I am trying to help my son with an area question.
I have the answer, from the solutions, but I cannot figure out how to teach him.

Question:

Two rectangles have lengths 13cm and 19cm respectively.
Their total area is 376cm squared.
If both their widths are whole numbers, what is the difference in their areas?

I know that this is solvable once I determine the widths of the rectangles ,
but how do I go about finding that?

Thanks for your help

Answered by Chris Fisher and Harley Weston.
Implicit differentiation 2016-06-06
From Pranay:
Is a circle x^2+y^2=2 a function? If it is not a function, why is it possible to do implicit differentiation on it?
Thanks.

Answered by Penny Nom.
The lateral side length of a cone 2016-06-05
From Diane:
Question is find the lateral side length of a right cone with area of 372 sq. cm and base circle radius of 9 cm.
Answered by Penny Nom.
20 things taken 8 at a time 2016-05-30
From Jessie:
I need all of the 8 digit combinations using the numbers 1-20.
i.e 1 2 3 4 5 6 7 8, 2 3 4 5 6 7 8 9 like wise
no number should be repeated in one combination.
Thanks
Jessie

Answered by Penny Nom.
John and Max walk to meet each other 2016-05-29
From abhay:
The speeds of John and Max are 30 km/h and 40 km/h.Initially Max is at a place L and John is at a place M. The distance between L and M is 650 km. John started his journey 3 hours earlier than Max to meet each other. If they meet each other at a place P somewhere between L and M, then the distance between P and M is?
Answered by Penny Nom.
A barn roof 2016-05-29
From Joe:
Is it possible to build a barn roof (irregular pentagon?) with a 12' base and the other 4 sides 4' each? Thanks.
Answered by Penny Nom.
Placing a sphere in a cylinder of water 2016-05-27
From Fiona:
Hi the question i have is, if I have a cylinder filled with water and the volume of the water is 150Pi what would the rise in the level of the water be if you put a sphere into the cylinder with a volume of 500/3Pi? Sorry if it's a bit long winded
Answered by Penny Nom.
A cylinder in a cube 2016-05-25
From Sonia:
A cylinder has the same height and diameter as the sides of a cube use 3.14~ which has the greater volume
Answered by Penny Nom.
The area of a 4-sided lot 2016-05-25
From prasad:
How to find area of a land whose sides are 41ft,33ft,32.3ft and 33.2 ft. Pl give me the formula and proof.
Answered by Penny Nom.
Two pieces of rope 2016-05-21
From Render:
Fred cuts a 12- inch piece of rope. Then he cuts a second piece of rope that is 3/2 longer than the first piece. Is the second piece shorter or longer than the first piece? Explain.
Answered by Penny Nom.
A trough with a triangular cross section 2016-05-21
From Clarice:
A trough having an equilateral triangle end sections has sides equal to 0.4 m and 7m long.what is the volume of the liquid in the container if the depth of the water is one half the depth of the trough?
Answered by Penny Nom.
Euler's polyhedron formula 2016-05-20
From Antonia:
why does not cylinders follow Euler's polyhedron formula ( V-E+F=2) ?? if a cylinder has 3 faces, 2 edges and 0 vertices it doesn't follow Euler's formula???
Answered by Penny Nom.
The tens digit of a number is five times the unit digit 2016-05-19
From sanjeev:
The tens digit of a number is five times the unit digit. Find the number?
Answered by Penny Nom.
Filling a pit with glass pebbles 2016-05-17
From Sam:
I need to know how many pounds of glass pebbles are needed to fill a 24 inch across circular fire pit, if 5 pounds covers 4"H x 4"W x2"D? Thank u for any assistance, Sam
Answered by Penny Nom.
A puzzle embedded in a table top 2016-05-13
From Aaron:
I want to make a table with a puzzle embedded in it. The table top would be a 36" circle and the puzzle is 20"x27" I'm thinking that it's not going to fit, but not sure. Any help would be appreciated.
Thanks,
Aaron

Answered by Penny Nom.
The volume of a truncated rectangular pyramidal pond 2016-05-13
From Paul:
How do you calculate a partially filled truncated rectangular pyramid if you always know the bottom rectangle, the maximum height top rectangle perimeter, but have a varying height. Similar to filling up a pond you know the current height and dimensions at the max rectangle how do you calculate it half full i.e. 10x30 outside perimeter with a 2x8 base and a max height of 6ft how do you calculate it at 3ft without re-measuring the top perimeter. Thanks, Paul
Answered by Harley Weston.
A pair of equations with fractions 2016-05-11
From tiya:
hello, i want to know how to solve this question.

m/6+2n/3=6
-m/10=2n/5=2

Answered by Penny Nom.
A 70% off sale 2016-05-11
From virginia:
If the sale price is $129.99 @ 70% off - what was the original price?
Answered by Penny Nom.
At what time will Sara catch up with Jake? 2016-05-07
From Laura:
At 11:00 a.m., Jake started driving along a highway at constant speed of 50 miles per hour. A quarter of an hour later, Sara started driving along the same highway in the same direction as Jake at the constant speed of 65 miles per hour. At what time will Sara catch up with Jake?
Answered by Penny Nom.
A rectangular field 2016-05-07
From Jan:
A rectangular field is 63m long and 21m wide. A fence of 2m in height is needed to fence the field and fencing is also required to divide the field in three square sections. There are three wooden gates measuring at 1.5m to the three sections of the field. What is the total surface area of the fence needed for fencing and diving the field?
Answered by Penny Nom.
A 3 hour river cruise 2016-05-06
From Jan:
A 3 hour river cruise goes 15km upstream and then back again.The river has a current speed of 2km/h.what is the boat's speed and how long was the upstream journey?
Answered by Penny Nom.
A six digit code 2016-05-06
From Ralph:
How many combinations are possible if a "safe" has four buttons and you can use a six digit code? (these are just single press buttons..)For example, this could be one possible combination: Button 4 Button 1 Button 1 Button 3 Button 2 Button 4. Thanks!
Answered by Penny Nom.
Trigonometry 2016-04-30
From Joel:
I am bored with what I'm learning in 6th math class and want a challenge. I decided to look at trig. I couldn't find a good resource to teach me. Could someone either explain trig to me or show me a resource? Please don't say I'm too young to learn trig. I just am trying to learn.
Answered by Penny Nom.
Converting ml to g 2016-04-28
From Lerato:
I would like to know which formula should I use to convert ml to g?
Answered by Penny Nom.
A patio slab 2016-04-27
From Heaven:
Allie used 11.7m^3 of cement to make a square patio. If the thickness of the patio is 15 cm,what is the length of the patio?
Answered by Penny Nom.
Solve 2^2x + 3(2^x) - 4 = 0 2016-04-27
From Lloyd:
Solve the equation 2^2x + 3(2^x) - 4 = 0
Answered by Penny Nom.
Covering a site with 6 inches of rock 2016-04-26
From Carla:
if a pump house that measures 20'x16' sits in the middle of a site that is 50'x60' and you apply crushed rock to the site at depth of 6", how many yards will you need to haul?
Answered by Penny Nom.
One million is six percent of what number? 2016-04-26
From Colleen:
One million is six percent of what number?
Thanks!

Answered by Penny Nom.
Dimes and pennies 2016-04-26
From Renae:
Charity has 42 more pennies than dimes. Hope has 7 times as many pennies than dimes. Hope and Charity have the same number of dimes. Together they have $5.46. How many dimes and pennies do each have?
Answered by Penny Nom.
sin 2x - sin x = 0 2016-04-24
From lilly:
sin 2x - sin x = 0 0
Answered by Penny Nom.
The inverse function for f(x)=2x^2+5x 2016-04-23
From Ashini:
The inverse function for f(x)=2x^2+5x
Answered by Penny Nom.
A triangle inscribed in a circle 2016-04-22
From Olyana:
I am struggling with this question! Help!

So, there is a circle. In the circle, there is an equilateral triangle inscribed. Each side of the triangle is 20. There is no other info given, other than the triangle is inscribed in the circle and the sides of the triangle are 20. I am supposed to find the radius of the circle! Please help!

Answered by Penny Nom.
600(1+0.05)^7 2016-04-21
From chelsey:
I am unsure on how to solve this problem, 600(1+0.05) 7 ?
Answered by Penny Nom.
Two tax rates 2016-04-21
From Vishal:
Total amount paid annually $444 for 2014 which is inclusive for tax. tax rate for first six month is 7% then it is changed to 15% for second six months. calculate the total basic amount paid before tax.

the basic amount on which tax paid in first and second six month is same.

Answered by Penny Nom.
A sector of a circle 2016-04-21
From mustafa:
In a sector of a circle, the arc length is equal to half the perimeter of a sector.find the area of a sector in terms of r
Answered by Penny Nom.
15.86 acres 2016-04-21
From Ronald:
If a rectangular piece of land is 1320 ft. on one side, how many feet would be required on the other side to equal 15.86 acres?
Answered by Penny Nom.
A square of side length 4x-3 units 2016-04-20
From Bryan:
Find an expression that represents the area of a square with side length 4x-3
Answered by Penny Nom.
External and interior angles of a regular polygon 2016-04-19
From pearl:
a polygon has n sides.The exterior angle is 8 times the interior angle
find the value of the interior angle
find the value of n

Answered by Penny Nom.
The derivative of x! 2016-04-16
From Sang:
How to find the derivative of x! and integral of x!
Answered by Penny Nom.
Heights at various points along an arc 2016-04-15
From Isiah:
So I am working on a problem with a few friends; you have an arc with the center of its chord at 0,0. We also have a known sagitta and a known radius of curvature. How do we calculate the height extending in both the positive and negative directions?
Central sag: 2.48
Chord length: 9.6

Answered by Penny Nom.
Sloping my yard away from my house 2016-04-15
From Harold:
I need to slope a area of my yard away from my house and garage. The length of my house is 80 feet long and i need to slope it 22 feet away. I want to raise the dirt at the foundation by 6 inches and slope it down to nothing at the width of 22 feet. How much soil would i require?
Answered by Penny Nom.
A scale factor 2016-04-13
From tonya:
What is the scale factor for the two figures regular octagon with 15 and 9 written in decimal form
Answered by Penny Nom.
Mrs. Gibson has 3 children 2016-04-12
From MJ:
Mrs. Gibson has 3 children. The older ones are twins. The youngest one is 3 years younger than the twins. If the sum of their ages is 102, how old is the youngest one?
Answered by Penny Nom.
The area and the perimeter of a rectangle 2016-04-12
From kimberly:
is there a relationship between the are and the perimeter of a rectangle? explain.
Answered by Penny Nom.
tan15° 2016-04-11
From JOHN:
find the exact value of tan15° in surd form.
Answered by Penny Nom.
The diagonal of a 10 acre square 2016-04-11
From Derrick:
I own 100 acre square of land. I want to run from farthest corner of property to farthest corner, Diagonally. How many miles would I have traveled?
Answered by Penny Nom.
Conversion of an equation 2016-04-11
From Marie:
How to you convert the equation of a line from x-intercept form (y=(x-x1)(x-x2)) to general form (y=ax^2+bx+c) if it involves square roots?

For example:
Convert this equation to general form: y=(x+the square root of 5)^2

Thanks for the help!

Answered by Penny Nom.
A road trip word problem 2016-04-10
From Marc:
While on a road trip I imagined this random word problem. Suppose I start a trip of 75 miles. My initial speed is 75 miles per hour. After every mile traveled I decrease my speed by one mile per hour. After the first mile I decrease my speed to 74 miles per hour and so on for each subsequent mile traveled. How long will it take to complete the 75 mile journey?
Answered by Penny Nom.
The area of a circle and a square 2016-04-10
From Richard:
I cannot understand why if you have a perimeter say of 4 units as the circumference of a circle then you reshape it into a square you lose very approximately some 20% of its volume but the perimeter length stays the same.
Can you please explain this to me as to why the volume decreases.

Answered by Penny Nom.
A stained glass cone lamp 2016-04-09
From Edwin:
In making a 16" dia. cone lamp (stained glass), how many square feet of glass do I need.
Answered by Penny Nom.
Setting up a pool 2016-04-09
From BETH:
i am trying to cover an area for a 15x15 foot round pool with play sand before I set up the pool. My playsand bag is 50 lbs , says it covers .5 cubic feet per bag. How many bags do I need?
Answered by Penny Nom.
Filling a hole with 14 tons of rock 2016-04-08
From Barry:
If I had 14 tons of inch and one half sized aggregate rock, how large of a square or rectangular shaped hole would I need to hold that amount?
Answered by Penny Nom.
4 carpenters can build 8 houses in 10 days. 2016-04-05
From Kenneth:
Hello:

Here is my question:

4 carpenters can build 8 houses in 10 days. 2 carpenters can build how many houses in 15 days?

Here is one solution:

The number of houses built is jointly proportional to the number of carpenters and the number of days. So h = kcd where k is a constant. Substituting the given: 8 = k*40, so k = 1/5. Our formula is then h = cd/5. I'm not sure how to determine whether or not one unit is jointly proportional to any other unit.

However, if 2 carpenters are unknown as in 4 carpenters can build 8 houses in 10 days. How many carpenters can build 6 houses in 15 days? What is the solution using this method? And likewise, if days are unknown, as in 4 carpenters can build 8 houses in 10 days. 2 carpenters can build 6 houses in how many days?

I thank you for your assistance.

Answered by Penny Nom.
Pizza delivery 2016-04-03
From Andrew:
Suppose you own a local pizza restaurant, Pizza with Pizzazz, and in order to compete with the big pizza chains in your area you are considering an advertising campaign offering customers a free pizza if their pizza is not delivered in 30 minutes or less. Even though your pizza restaurant is known for its fast and friendly delivery service, you are not sure if you can afford to give away too many pizzas for free. Looking over your past 12,421 pizza deliveries you find out 97% of the pizzas were delivered in 30 minutes or less.

Calculate the probability that all 100 randomly selected pizza deliveries will have been made in 30 minutes or less? Hint: Use the multiplication rule. (Round 4 decimals)

I'm really stumped on how exactly to do this problem. I don't need the answer just the steps broken down to show me how to get it! It would be gladly appreciated if you could help!

Answered by Penny Nom.
Maximizing the area of a two lot region 2016-04-03
From yousef:
A man wishes to enclose two separate lots with 300m of fencing. One lot is a square and the other a rectangle whose length is twice its width. Find the dimensions of each lot if the total area is to be a minimum.
Answered by Penny Nom.
The last two digits of a phone number 2016-04-03
From Joshua:
I want to find the last two digits of a phone number whose first eight numbers of a ten digit phone numbers are known.
Answered by Penny Nom.
20 mangoes 2016-04-01
From Mussharat:
I have 20 mangoes and have to put them in 5 boxes such that the numbers will be odd numbers.Also I can't cut or take the seed out from the mango . What should I do. It's really confusing.
I'll be more than happy if you could help me.

Answered by Penny Nom.
The volume of a cone 2016-03-31
From Odum:
Find the volume of a cone with radius 6.5cm and height 12.6cm
Answered by Penny Nom.
When does sqrt(x^2+y^2)=x+y? 2016-03-30
From Margret:
when does sqrt(x^2+y^2)=x+y
Answered by Penny Nom.
A tilted cylinder tank 2016-03-28
From Astri:
I have a problem determining the fluid level for tilted cylinder tank. Actually I've found some solution here for horizontal cylinder tank. What if the cylinder is tilted at a certain degree, for example 30 degree from the vertical axis.
Thank you.

Answered by Penny Nom.
The remainder theorem 2016-03-27
From Pratyasha:
A quadratic polynomial when divide by x+2 leaves a remainder of 1 and when divided by x-1 leaves a remainder of 4. What will be the remainder if it is divided by (x+2)(x-1)?
Answered by Penny Nom.
The volume of a box with a hexagonal base 2016-03-27
From Frank:
how many gallons of water in an 8" hexagon shaped box. 6" sides x 12.5" high ? The walls are 1" thick , beveled @ 30 degrees, so inside dimensions are 6"
Answered by Penny Nom.
A square based box and a cylinder 2016-03-26
From rajpal:
i m trying to calculate an area required to hold 4.4 mln cubic metres of volume. I used square and I get below result

A box shape that has dimensions 1500 meters (1.5km) by 1500 meters (1.5km) by 2 meters depth has a volume of:
= 4,500,000 cubic meters (4.5 mln cubic meters)

but when I use a cylinder shape, i get below result

A cylindrical shape that has a radius of 850 meters and a depth of 2 meters has a volume of:
= 4,539,600 cubic meters (4.54 mln cubic meters approx)

why is it that the cylinder, though of same depth holds more volume than a square? kindly clarify.

Answered by Penny Nom.
An isosceles triangle inscribed in a circle 2016-03-25
From NIHAL:
A isosceles triangle is inscribed in a circle having sides 20cm,20cm,30cm. find the radius of circle
Answered by Penny Nom.
Polynomial division 2016-03-25
From Ashley:
(4x-4+6x^3-x^2)/(3x-2)

The instructions say to "perform the division".

Answered by Penny Nom.
A problem in base x 2016-03-25
From Malith:
determine the value of base x of (211)x = (152)8

please mentioned the steps
Thank you

Answered by Penny Nom.
Travelling in a spacecraft 2016-03-25
From julie:
if i was travelling in a spacecraft at the speed of light and i turned on my headlight would i see the beam ?
Answered by Robert Dawson.
A rotating schedule for a softball team 2016-03-25
From Caroline:
I couldn't find a similar question, hopefully there isn't one!

I have a softball team of 18 people (7 girls and 11 boys), but am limiting each game to 13 players (6 girls and 7 boys). The season is 10 games long. How do I create a rotating schedule which allows members to play evenly? I tried separating the boys and girls to create rotation for each but I got confused. Some are unable to attend all games but for the simplicity of a rotation schedule can you please help?

Answered by Robert Dawson and Victoria West.
The inverse of a function 2016-03-20
From Billy:
f(x) = Square root(x^2 + 2x)

What is the inverse?

Answered by Penny Nom.
Biking and jogging 2016-03-17
From alondra:
Ricky went on a bike ride. After 6 miles he got a flat tire and had to jog home. He jogs 3mph slower than he bikes, so the jog took 1 hour longer than the bike ride. At what rate did he travel each way?
Answered by Penny Nom.
The perimeter of a rectangle 2016-03-17
From Linda:
Noel correctly adds the length of three sides of a rectangle and gets 88 cm her brother Ryan correctly adds the lengths of three sides of the same rectangle and gets 80cm. What is the number of cm in the perimeter of the rectangle
Answered by Penny Nom.
A block wall 2016-03-15
From Robert:
I have a wall 40 ft. long and 4 ft. tall as well as another one that is 30 ft by 3.5 ft. tall that I am trying to build. how many 6 inch by 12 inch landscaping blocks do I need?
Answered by Penny Nom.
The sides of a triangle 2016-03-15
From Hitarth:
Why we cannot construct a triangle ofngiven sides 5cm,5cm and 10cm?
Answered by Penny Nom.
tan inverse 1/4 2016-03-14
From nazz:
prove; tan inverse 1/4=1/3 cot inverse 52/47
Answered by Chris Fisher.
Angles 2016-03-12
From Laurynn:
What are angles in general (please include the 'angle of incline')

Thank you
Laurynn

Answered by Penny Nom.
The integral of a sum 2016-03-10
From Rahul:
How to solve definite integral of a sum. The specific problem is as follows,
Integral of ( 1+ sum of x^k, k=1 to k=n), x=0 to x=b *dx.
The answer is b + sum of b^(k)/k, k=2, to k=n+1. I understand only the integral of first term. But integral of the sum I do not understand at all.

Answered by Penny Nom.
A circle and a chord 2016-03-10
From Mujtaba:
The distance of a chord of length 16 cm, from the centre of the circle of diameter 20 cm
Answered by Penny Nom.
A word problem 2016-03-10
From Sam:
Jo is 10 cm taller than Ruth. Pam is 16cm taller than Ruth .Rod is 8cm taller than Pam. How much taller than Jo is Rod?
Answered by Penny Nom.
An equation with fractions 2016-03-09
From Ed:
7/10-___ +3/2=6/5
Answered by Penny Nom.
Can you construct a regular 21-gon? 2016-03-08
From Peter:
hi, i know that if i use a compass to draw a circle, i can use the same setting to mark 6 intervals along the circle circumference, how would i go about marking out 21 equally spaced points around the circumference?

if there an online calculator i can us, or some other interesting trick?

tia

peter

Answered by Robert Dawson.
Tiling a floor 2016-03-05
From joanne:
How many floor tiles 20x20 inch do I need for area of 8x 12 ft.?
Answered by Penny Nom.
The area of a rectangle 2016-03-03
From Lucas:
The area of a rectangle is given by A=x2+18x+72
-use factoring to find an expression for the dimensions of the rectangle.
-if the area of the rectangle is 7 square feet, what are the possible values of x?
-what are the dimensions of a rectangle?

Answered by Penny Nom.
A geometric progression 2016-03-03
From Pauline:
A woman measures the height of her child at birth and at monthly intervals afterwards.The child's height increases by 5% per month. Find the number of measurements she has made before the child's height is twice what it was at birth
Answered by Penny Nom.
Corrosion inhibitor in a pipeline 2016-03-02
From Edu:
I have a 12 in pipeline and 5 miles long. I need to coat it with corrosion inhibitor how much chemical will I need
Answered by Penny Nom.
Compressed Earth blocks 2016-03-02
From John:
how many 14"x10"x4" blocks do I need for a 1300sq foot house 8 foot high
Answered by Penny Nom.
A percentage problem 2016-03-02
From jehanzaib:
if x is a percentage: e.g. 40% than what does "x/(1+x)" = 29%. what is the explanation.
Answered by Penny Nom.
A rectangular prism 2016-03-02
From Paula:
Trying to help with a math problem. I don't know how to set up the equation for this.

A rectangular prism has a volume of 7.875m3rd and a height of 3.5 m. What is the area of the base of the prism?

Thanks for your help!

Answered by Penny Nom.
An algebra problem with a sphere 2016-02-29
From Sania:
If the number of square centimeters on the surface area of a sphere is equal to the number of cubic centimeters in its volume find its diameter
Answered by Penny Nom.
A deck that is half an ellipse 2016-02-28
From Steve:
On your website, I was reading a question and your response from a girl named Angela in which you provided a formula by which her father, a welder, could figure out points on an arc corresponding to equal 3' intervals on a 30' chord where the vertex was 1' off the chord. Is there an equivalent formula when working with an ellipse? I suspect this change will make the calculations significantly more complex. I am building a deck that is half an oval, and would like to be able to mark out the perimeter by measuring the distance from regular intervals on the primary access to a corresponding point on the perimeter. I will then connect the points on the perimeter and cut a reasonably smooth arc. The length of the primary access will be 22' and width of the deck at the vertex is 9'. I would like to be able to know the distance from the primary axis to a point on the perimeter at equal intervals of 6" along the primary axis. Can you help?
Answered by Penny Nom.
A 13 game bet 2016-02-28
From farah:
I'm trying to calculate the odds of a 13 game bet. Each game has 2 teams with 3 possible outcomes (win,draw,lose).

What are the odds.

Answered by Penny Nom.
10800 sq. ft equal approx what part of an acre? 2016-02-27
From David:
10800 sq. ft equal approx what part of an acre
Answered by Penny Nom.
A word problem 2016-02-27
From KRK:
amrutha thinks of a number, multiplies it by 5 & 6, devides the result by 3 and takes away the number first thought of to get an answer 36. find out the number
Answered by Penny Nom.
Solve for x and y 2016-02-27
From ntshidi:
Y=1/2x+4and1/4x-6
Answered by Penny Nom.
A place value drawing 2016-02-24
From Kristin:
Make a place value drawing of a number that has double the number of tens as ones and three times the number of thousands as hundreds write the number.
Answered by Penny Nom.
The sum of the angles of a triangle 2016-02-24
From Sophia:
Does every triangle add up to 180 degrees? (Such as a unique triangle)
Answered by Penny Nom.
The weight of some dirt 2016-02-24
From Michael:
How many tons of dirt are in a triangle 14M x10M x 8.1M x .8M deep?
Answered by Penny Nom.
Converting a fraction to a percentage 2016-02-22
From Preitty:
How can I turn fractions into percentages when the denominator is not a number that can multiply to 100?
Answered by Penny Nom.
How can I express Sin 4A in term of Sin A? 2016-02-22
From Odukoya:
How can I express Sin 4A in term of Sin A?
Answered by Penny Nom.
A bonus of 8% of sales 2016-02-22
From Barghavi:
A man earns $325 per week plus an additional 8% on any sales over $500. If he makes $6,250 in sales, how much money in total does he earn that week? thank you!
Answered by Penny Nom.
The evaluation of a 3 by 3 determinant 2016-02-19
From Kristen:
What is the step-by-step process on how to evaluate the determinant of a 3*3 matrix, using the expansion method (not the diagonal method)
Answered by Penny Nom.
The domain and range of a function 2016-02-19
From Genius:
State the domain and range g(x)=x(x-1)
Answered by Penny Nom.
The interior and external angles of a regular polygon 2016-02-17
From percy:
a regular polygon has n sides .The size of each interior angle is eight times the size of each exterior angle .
1.find the size of each exterior angle
2.calculate the value of n

Answered by Penny Nom.
Shooting a ball at a target 2016-02-16
From Thys:
Hi
I have a problem with the formula that i use .(for programming)
I have looked all over the web to find a solution but no luck.
I have a cannon that shoots a ball at a target
I use this formula to calculate what my initial velocity must be to hit the target at a angle of 30 degrees and a distance of 15m (the cannon and target position is known) It works perfectly if both is at same height but if one is higher or lower it miss.

In an example I am working with the range is 30m, the angle is 45 degrees and the target is 10m higher than my position.
Please help
Formula = V0 = √RG / Sin(2α)

Answered by Harley Weston.
0/0 2016-02-14
From Noni:
Q. 0÷0=1 Why it is wrong when 4÷4=1; 3÷3=1; 2÷2=1: 1÷1=1 ?
Answered by Penny Nom.
Speed and velocity 2016-02-14
From kechi:
A boat sails south through Chesapeake Bay. It takes 10 hours to sail 110 kilometers. Describe the boat's motion. Calculate the boat's speed and velocity, showing the calculations. Explain how the boat's speed is different from its velocity
Answered by Penny Nom.
Perpendicular lines 2016-02-14
From Brendon:
points A (-4; 6) , B (1;-2), C (5;-3) and D (4; 1) are given prove that AC and BD are perpendicular to each other
Answered by Penny Nom.
Calendar arithmetic 2016-02-14
From Jenalee:
January 1, 2001 is Julian Day 2 451 911 (the number of days that have passed since Day 0, January 1, 4713 BC).

If Julian Day 0 was a Monday, what day of the week was January 1, 2001?

Answered by Victoria West.
Two equations in two unknowns 2016-02-13
From Anumba:
4x + 2y = 4
7x - y = -11

Answered by Penny Nom.
Todd is 3 years older than his brother Jack 2016-02-13
From Victoria:
Todd is 3 years older than his brother Jack. If Jack is x years old and Todd is y years old, write a rule that relates their ages over time. When Jack is 28 years old, how old will Todd be?
Answered by Penny Nom.
Travelling with and against he current 2016-02-09
From Lloyd:
A boat travelled 210 miles downstream and back. The trip downstream took 10hrs, the trip back took 70hrs
1. what is the speed of the current?
2. what is the speed of the boat in still water?

Answered by Penny Nom.
A 2 digit number 2016-02-08
From Lloyd:
The sum of digits of a certain 2 digit number is 7. Reversing its digits increases the number by 9. Find the number
Answered by Penny Nom.
Backfilling a rectangular hole for a shop foundation 2016-02-08
From Jeremy:
Hello, I'm going to be backfilling a rectangular hole for a shop foundation and need to know how much concrete and gravel I'm going to need to fill it in. The shop foundation is 38 feet wide by 30 feet long and 4 feet deep, there is also a concrete perimeter going inside the foundation that measures 16 inches wide and goes all the way around the inside of the foundation
Answered by Penny Nom.
The equation of a vertical line 2016-02-07
From Kagiso:
The equation for a vertical line that goes through the point (7; -3) is?
Answered by Penny Nom.
38 is what percent of 400? 2016-02-07
From chris:
38 is what percent of 400?
Answered by Penny Nom.
An exercise with factorials 2016-02-07
From vidhi:
find the value of n: (1-1/2) (2-2/3) (3-3/4)...(15-15/16) = n!/16
Answered by Penny Nom.
How many acres? 2016-02-06
From JOHN:
How many acres of land is in a strip that is 5000 foot long and 100 feet wide?
Answered by Penny Nom.