







The sum and difference of two numbers 
20180917 

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. 





Robbie and fran run laps 
20180826 

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 cube in a cylinder 
20180813 

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. 





Creating a number sentence 
20180629 

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. 





$96 is 66 2/3% of what dollar amount? 
20180531 

From mary: $96 is 66 2/3% of what dollar amount? Answered by Penny Nom. 





Two expressions for the perimeter of a a rectangle 
20180513 

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. 





The mass of a durian 
20180414 

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 sum and difference of two numbers 
20180313 

From samima: Two numbers have a difference of 0.85 and the sum 1.What are the numbers? Answered by Penny Nom. 





Expand (5x9)(5x+9) 
20180301 

From adil: expand the following:
(5x9)(5x+9) Answered by Penny Nom. 





y as an expression in terms of x 
20180120 

From Mark: What is y as an expression in terms of x ? Answered by pennt. 





xy+x=2y. Solve for y 
20180110 

From Hugh: xy+x=2y. Solve for y Answered by Penny Nom. 





Macy and Camile's ages 
20170930 

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. 





(x18)/7=6 
20170808 

From David: (x18)/7=6 Answered by Penny Nom. 





A police officer spots a speeding car 
20170720 

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 
20170719 

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. 





y = g(x + 1) 
20170627 

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. 





Algebra 
20170528 

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. 





Jamie has twice as many video games as Mel. 
20170427 

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. 





Express x/a 2a/x =1 in terms of a. 
20170414 

From tony: express x/a 2a/x =1 in terms of a. Answered by Penny Nom. 





13  3x = x times the square root of 5 
20170329 

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. 





A total amount of $27,500 invested at 5% and 7% 
20170219 

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. 





Five equations 
20170116 

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. 





Renting an electric cart 
20170107 

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. 





Joining a fitness center 
20161218 

From Salem: A fitness center offers a special price for groupclass 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. 





1/1cosine(2x)  1/1+ cos(2x) 
20161214 

From Sean: 1/1cosine(2x)  1/1+ cos(2x) Answered by Penny Nom. 





3^2x5=27 
20161214 

From danaja: solve for the following 3^2x5=27 Answered by Penny Nom. 





A stone walkway around a garden 
20161127 

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. 





An equation with fractions 
20161109 

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. 





Standard form 
20160922 

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. 





Two equations 
20160917 

From Nilesh: How to solve (xy)^1/2 + 3(xy) = 30 ; xy + 3(xy) = 11? Answered by Penny Nom. 





Todd Matt and Jeff 
20160830 

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. 





I bought 3 books for $150.00 
20160820 

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. 





Carlos, Mark, Jeremy, and Alan collect Yugioh cards 
20160808 

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. 





The dimensions of a rectangle 
20160725 

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. 





The composition of a function with itself 
20160717 

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? 
20160717 

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 
20160714 

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. 





An equation involving pi 
20160626 

From Diaz: How would you solve :
( pie*X)/ 4 = pie/2
I have no idea.what to do! Answered by Penny Nom. 





One million is six percent of what number? 
20160426 

From Colleen: One million is six percent of what number?
Thanks! Answered by Penny Nom. 





A square of side length 4x3 units 
20160420 

From Bryan: Find an expression that represents the area of a square with side length 4x3 Answered by Penny Nom. 





Conversion of an equation 
20160411 

From Marie: How to you convert the equation of a line from xintercept form
(y=(xx1)(xx2)) 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. 





When does sqrt(x^2+y^2)=x+y? 
20160330 

From Margret: when does sqrt(x^2+y^2)=x+y Answered by Penny Nom. 





The perimeter of a rectangle 
20160317 

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 word problem 
20160310 

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. 





The area of a rectangle 
20160303 

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. 





Shooting a ball at a target 
20160216 

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. 





Two equations in two unknowns 
20160213 

From Anumba: 4x + 2y = 4
7x  y = 11 Answered by Penny Nom. 





Todd is 3 years older than his brother Jack 
20160213 

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. 





A 2 digit number 
20160208 

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. 





The equation of a vertical line 
20160207 

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? 
20160207 

From chris: 38 is what percent of 400? Answered by Penny Nom. 





When will Scott and Jill have earned the same amount? 
20160204 

From kalia: Scott starts with $10 and earns $5 and hour. Jill starts with $40 and earns $3 and hour. when will the two have the same amount of money in the same hours? Answered by Penny Nom. 





Solve 1/3 ( x5 ) + 4 =1/6 ( 2  3 x ) +1 for x 
20160115 

From edwin: 1/3 ( x5 ) + 4 =1/6 ( 2  3 x ) +1 Answered by Penny Nom. 





A rectangular enclosure 
20160115 

From Amber: A rancher wants to use 300ft of fencing to enclose a rectangular area of 4400 square feet. What dimensions should the rectangle be? Answered by Penny Nom. 





A triangular shaped garden 
20160113 

From Demetrie: Dwayne's garden is triangleshaped with two equal sides and a third side that is 4 ft more than the length of an equal side. If the perimeter is 49 ft, how long is the longest side? Answered by Penny Nom. 





Four consecutive integers 
20160105 

From sherica: my teacher gave us an assignment and it says here that;
THERE ARE FOUR CONSECUTIVE INTEGERS.IF THE SMALLEST ONE IS x ,FIND THE SUM OF THE FOUR INTEGERS. that is the question ...thanks hope that u can answer it Answered by Penny Nom. 





Proof that an erroneous algebraic statement is false 
20151214 

From Berteanu: I need help with this proposition:
"It exists x a real number that for every y real number 5*x2*y*y=1
This is false.
Let x be from R.
And I need an y real number that 5*x2*y*y!=1
Please,could you help me? Answered by Penny Nom. 





I was wondering what xy means. 
20150930 

From Eric: I was wondering what xy means. My two things I think it means are the two digits of x and y or x times y. thanks for your time,
Eric Answered by Penny Nom. 





The length of a rectangle 
20150926 

From Tris: Hi,
I'm trying to figure out the length of a rectangle but i forgot how. So, the width is
5cm and the perimeter is 34cm. Answered by Penny Nom. 





The weight of a pumpkin 
20150901 

From Lisa: A pumpkins weighs 10 pounds plus half of 10 pounds plus half it's own weight, what does the pumpkin weigh? Answered by Penny Nom. 





The diameter and circumference of a circle 
20150901 

From Tracey: Hello,
I own a custom workroom, I am figuring out fabric quantities or an estimate. When
at the job site, I forgot to measure the diameter of the semi circle shape that I have to
make a cushion for!!!
If the circumference of the semi circle is 165" what would the diameter be, maybe half
this measurement????
I appreciate any help...I basically need the width from left to right to see if I can fit
the cushion on one width of fabric that is 52" wide! Answered by Penny Nom. 





Manipulating an equation 
20150605 

From Leigh: Hi, I'm having trouble trying to find out how the equation y=mx+b for b comes up with the answer b=ymx. Could you please assist me with this Answered by Penny Nom. 





A two digit number 
20150605 

From Madison: Trini took some photos. The number of photos she took is a two digit number.
The sum of the digits is 11. The tens digit is 3 more than the ones digit.
How many photos did Trini take? Answered by Penny Nom. 





The perimeter of a rectangle 
20150528 

From Imran: The length of a rectangle is x+3 centimetres.
The width of the rectangle is x1 centimetres.
Find an expression in terms of x for the perimeter of the rectangle.
The perimeter of a rectangle The perimeter of a rectangle
Give your expressions in it's simplest form.
The perimeter of a rectangle The perimeter of a rectangle
Thank You. Answered by Penny Nom. 





A word problem 
20150508 

From JAMES: A businessman bought a number of similar articles for a total of sh. 6000. Three of the articles turned out to be defective with no resale value. He sold the remaining articles at 12.5% each above the cost price making a total profit of sh 480. How many articles had he bought? Answered by Penny Nom. 





Expand and Simplify (3x+5)(5x9) 
20150423 

From chloe: Expand and Simplify (3x+5)(5x9) Answered by Penny Nom. 





The area of a circle given the circumference 
20150412 

From F: How do you find the area of a circumference of 6?
Thanks. Answered by Penny Nom. 





Stopping distance 
20150211 

From Audrey: A Harley Davidson motor cycle weighing 650 lbs with a rider weighing 175 bs
was going 40 miles per hour. He had to make a sudden stop . Slammed on brakes. How long a distance for him to stop? Answered by Penny Nom. 





2x^22x+1=4x+1 
20150206 

From Caitlyn: 2x^22x+1=4x+1 Answered by Penny Nom. 





Russell is 6 years older than Samantha 
20150126 

From Kelli: Russell is 6 years older than Samantha.
In 4 years the sum of their ages will be 78. How old is Russell now? Answered by Penny Nom. 





h+h+h = 9 
20150112 

From juanita: How to solve h+h+h = 9 Answered by Penny Nom. 





Two quadratic equations 
20141120 

From rajesh: Sir,
I would like to discuss on question
Find the value of variable X and Y, equations are
X2+Y2+2XY=25
X2+Y22XY=1
Sir, my point is equation looks not so easy.My opinion is there many
(more than 4)value possible for both X and Y.
Kindly help me.
Waiting for your response.
regards,
rajesh Answered by Penny Nom. 





(x3)^2(x+3)^2 
20141113 

From Bernice: (x3)^2(x+3)^2 Answered by Penny Nom. 





1/6k=11 
20141113 

From Marty: Using the balance method, what is the answer to 1/6k=11, trying to find what k equals. Thanks Answered by Penny Nom. 





How does pir^2 = 1/4pid^2? 
20141014 

From al: Hi I cant work out the algebra. How does pir^2 = 1/4pid^2 Thanx Answered by Penny Nom. 





15  (5x)/ x = 30 
20141013 

From AMANDA: 15  (5x)/ x = 30
I thought you had to multiply both sides by x in order to remove the fraction?
15x  5x  x2 = 30x
then combine 10x  x2 = 30x
x2 =20x
then take the sqrt of each side...
what am I doing wrong?? Answered by Penny Nom. 





Pre algebra 
20141012 

From mohamed: i want to know the meaning of pre algebra Answered by Penny Nom. 





Sum of 22, product of 125 
20140703 

From marj: find two real numbers whose sum is 22 and whose product is 125. Answered by Paul Betts, Robert Dawson and Penny Nom. 





If x+y+z=1 then x^2 + y^2 + z^2 = ? 
20140430 

From Nitin: If x+y+z=1
then
x^2 +y^2+z^2 = ? ? Answered by Robert Dawson. 





The cost before the sales tax 
20140413 

From Juanda: Hello,
I know the customer cost with tax and I know the sales tax.
How do I find out the customer cost prior to the added sales tax?
Thank you Answered by Penny Nom. 





Manipulating an equation 
20140412 

From Paul: S=4wl+2wh and solve for h Answered by Penny Nom. 





Evaluate x(3x+5) if x=2 
20140403 

From Destiny: I wanted to know the value of x(3x+5) if x=2 Answered by Penny Nom. 





Ms. Werenich's nickels, dimes and quarters 
20140319 

From London: Ms. Werenich has twice as many dimes as nickels and 4 more quarters than nickels. If she has $4.50, how many of each coin does she have? What would the let statements be of this problem and can you solve it? Answered by Penny Nom. 





Find two numbers with a sum of 8 and a difference of 4 
20140319 

From Elisabeth: Find two numbers with a sum of 8 and a difference of 4. Let x be the greater number and y be the lesser number. Answered by Penny Nom. 





A word problem 
20140309 

From Joanne: Ashley weighs 5kgs more than Joyce. Their total weight is 41 kgs. What is the weight of Ashley? Answered by Penny Nom. 





A word problem 
20140223 

From Anh: The Texas State Legislature is comprised of state senators and state representatives. The sum of the number of senators and representatives is 181. There are 119 more representatives than senators. How many senators and how many representatives make up the Texas Legislature? Answered by Penny Nom. 





x^3+(1/x^3)=18√3 
20140223 

From Asiv: if x^3+(1/x^3)=18√3; then what is the value of x? Answered by Penny Nom. 





A fountain surrounded by a walk 
20140218 

From Maddie: A square Water Fountain is Surrounded by a walk 2 yards wide.
If the Area of the Fountain is 2/3 of the total area of the Fountain and the Walk.
What are the Outside Dimensions of the Walk Answered by Penny Nom. 





The graph of y=2x+4 
20140218 

From tyler: y=2x+4 graph Answered by Penny Nom. 





Paul is making banana bread 
20140217 

From John: Paul is making banana bread. The number of cups of bananas he uses is proportional to the number of loaves of bread. Paul uses 11 1/4 cups of bananas to make 5 loaves of bread. Which equation represents the relationship between c, the number of cups of bananas, and b, the number of loaves of bread?
A) C=4/9 b
B) C=2b
C) C= 2 1/4 b
D) C=5b Answered by Penny Nom. 





The growth of a tree 
20140216 

From Emily: If a tree is 10 ft tall after 2 years and 25 ft tall after 5 yrs , find the rate of change of growth
Of the tree if y is the height in ft and x is the number of years. Answered by Penny Nom. 





Rolls of window film 
20140214 

From Travis: This question is probably close to the same question as "roll of paper"
We have Rolls of Window Film that we are trying to figure out an equation for a spreadsheet that we can use to "inventory" our window film.
We use a caliper tool to measure the thickness of the roll in millimeters.
the core thickness = 1.90mm
Full Roll thickness(including core) = 9.08mm to 9.12mm
Film thickness = 0.06
Full Roll of Film is supposed to average 1200" of film
What equation could we use to get the approximate inches left remaining on the roll if we measured the roll including the core with the Caliper tool in Millimeters? Answered by Harley Weston. 





The dimensions of a room 
20140201 

From jenna: The length of a rectangular room is 2m more than the width. Find the dimensions if the perimeter of the room is 34m Answered by Penny Nom. 





Kate, Tess and Nina 
20140123 

From Sam: Kate is 16 yrs. younger then Tess. Nina is 8 yrs.older then Kate. The sum of their ages is 189. How old is each? Answered by Penny Nom. 





Reducing the area of a parking lot 
20140119 

From Robin: The school is reducing the area of its 20yd by 50yd parking lot by removing a strip at one end of the parking lot and another strip of the same width from one side. The new area of the parking lot is 504 said yes. Find the width of the removed strip Answered by Penny Nom. 





$9.50 in coins 
20140115 

From dana: you have $9.50 in coins. it has twice as many nickels as quarters and three times as many dimes as nickels. how many of each coin do you have? Answered by Penny Nom. 





Five cubes 
20140115 

From Bob: Rick has five cubes. When he arranges them from smallest to largest, the difference between the heights of any two neighbouring cubes is 2 cm. The largest cube is as high as a tower built from the two smallest cubes. How high is a tower built from all five cubes? Answered by Penny Nom. 





Is this operation associative? 
20140114 

From patrick: Associative test: Can you explain the following to me?
Is the following operation associative?: x*y=x+y+1
1) x*(y*z)=x*(y+z+1)=x+(y+z+1)+1=x+y+z+2
2) (x*y)*z=(x+y+1)*z=(x+y+1)+z+1=x+y+z+2
The answer is yes as 1) = 2)
My specific questions are:
1) How x*(y*z)=x*(y+z+1)=x+(y+z+1)+1 ?
2) How (x+y+1)*z=(x+y+1)+z+1?
Thank you!! Answered by Penny Nom. 





4x^37x^22x 
20140110 

From Alvi: 4x^37x^22x Answered by Penny Nom. 





conical lamp stand/staved wood 
20131207 

From Henry: need to make lamp stand that is wooden staved; need it to be 25 inches at bottom and 10 inches at top; need to know angles for staves to be cut; the lamp stand will be rounded on a lathe and will be 40 inches tall John Lucas built one and it is pictured on his web page. thank you for any help/direction; I checked out the answered for cone shaped objects on your page but didn't find what I could use. thanks again. Henrywoodturner, parent teacher student . . . . . Answered by Harley Weston. 





f(x)= a+b*lnx 
20131204 

From Kevin: How do I find the curve, algebraically on paper, for f(x)= a+b*lnx with data points
(6,1303) (9,1639). I can do it with LnReg on a calculator but I want to know how
to get the same results or close to the same results by working it out on paper.
When I run it through the LnReg on the calculator I get, f(x)=181.792+828.678 Ln x.
How did it achieve this solution? Answered by Penny Nom. 





Factor 
20131201 

From Rosa: How do you factor 9x^2  12y^2? Answered by Penny Nom. 





Problem solving 
20131126 

From Moira: Amy has £5 more than Ben. Ben has twice as much as Chris. In total they have £20 how much do they each have Answered by Penny Nom. 





A concrete walk around a pool 
20130918 

From poornima: circular Swimming pool is surrounded by a concrete walk 4 feet wide, if the area of the walk is 11/25 of the area of the pool, then the radius of the pool in feet is Answered by Penny Nom. 





A word problem 
20130905 

From Thomas: I'm trying to help my 9th grade child with their homework. The problem is the
Length of a rectangle is twice as long as it is wide. The perimeter is 68m. Find
It's length and width Answered by Penny Nom. 





An algebraic equation 
20130828 

From walter: i'm a parent helping my daughter can you do a step by step on this equation been out of school for years thanks (4w28)+(11w+13)=180 thanks Answered by Penny Nom. 





GST and PST 
20130722 

From Bev: Total sales revenues are 116391.38 this amount includes 5% GST and 80% of this amount includes a 7% provincial tax. The other 20% is PST exempt. GST is included in all. How do I figure the PST I owe? Answered by Penny Nom. 





Simultaneous equations 
20130710 

From Warren: solve this simultaneous equation: xy=4
2x+3y=14 Answered by Penny Nom. 





{(1+x)^1/31/3X(1+x)^2/3}/(1+x)^2/3 
20130617 

From STEPHEN: {(1+x)^1/31/3X(1+x)^2/3}/(1+x)^2/3 Answered by Penny Nom. 





A silver figurine 
20130503 

From Renee: I have a silver figurine, the density of silver is 10.5g/cm3. if the figurine weighed 149 g. to determine the volume, he dropped it into a cylindrical glas of water. the diameter of the glass is 6 cm and the figurine was pure silver, by how much should the water level in the glass rise? Answered by Penny Nom. 





A word problem 
20130503 

From Shaneaya: Keikio spent the day bird watching and counted 34 more birds in the morning than in the afternoon. If she counted a total of 76 birds, how many birds did she count in the afternoon? Answered by Penny Nom. 





How do i reverse this formula? 
20130420 

From MK: I have 22,000,000 worth of gold and wants to want to resell the gold back with a profit.
Each transaction of gold will have a transaction fee of 15%, so if i resell the gold back at 22,000,000, I will only get back 18,700,000 after 15% transaction cut.
The current formula is X15%X = Y where X = 22,000,000 and Y = 18,700,000
Will u be able to come up with a new formula if we don't know the value of X but we know the value of Y
Something like this X15%X = 22,000,000.
How do i reverse this formula to find the value of X
Thanks Answered by Penny Nom. 





An algebraic exercise 
20130318 

From autumn: given: f(x)=x/(x^2+2) determine: [f(xh)f(x)]/h Answered by Penny Nom. 





Driving a rental car 
20130313 

From teresa: Driving a rental car x miles cost y= 0.25x + 25 dollars.
(a) How much would it cost to rent the car but not drive it?
(b) How much does it cost to drive the car 1 additional mile?
(c) What is the yintercept of y= 0.25x + 25? What does it represent?
(d) What is the slope of y= 0.25x + 25? What does it represent? Answered by Penny Nom. 





What is the subtotal & GST? 
20130304 

From REBECCA: Hi, I have a total of $300.
What is the subtotal & GST?
How do I work backwards? Answered by Penny Nom. 





Swimming upstream and downstream 
20130215 

From Kimberly: a beaver swims down to its lodge 4 times faster than it swims upstream. how many times faster is its speed in still water than the speed of the stream? Answered by Penny Nom. 





Chocolate bars and puzzles 
20130215 

From sandy: Alan bought a box of puzzle and two bar of chocolate for $28.
Jan bought 3 boxes of puzzle and a bar of chocolate similar to
Alan for $69.
a) Find the cost of a box of puzzle
b) Find the cost of a bar of chocolate Answered by Penny Nom. 





A word problem involving toys 
20130214 

From sandy: Each boy gets 5 toys.Each girl gets 3 toys.There are 150 pupils.
The boys had 74 more toys than girls.
How many boys?
How many girls? Answered by Penny Nom. 





A cubical shipping container 
20130212 

From Chantel: The length, width and height of a cubical shipping container are all
decreased by 1.0 ft, thereby decreasing the volume of the cube by
37 ft3(feetcubed) What was the volume of the original container?
(recall: volume of cube with a side length x=x3) Define the variable,
write a quadratic equation and solve by factoring. Answered by Penny Nom. 





Brian is x years old 
20130206 

From Sabrina: Brian is x years old.
Peter is 4 years older than Brian.
Amy is 2 years younger than Brian.
The total of their ages is 26 years.
Work out the value of x. Answered by Penny Nom. 





7x1/41/3[2x 1x/2]=19/3 
20130203 

From M: 7x1/41/3[2x 1x/2]=19/3 Answered by Penny Nom. 





The area of a rectangle 
20130129 

From Bali: if the length of the
rectangular field is decreased by 5m,
its area is decreased by 70 sqm. if the
width is increased by 6m, the area is
increased by 180 sqm. determine the
length and width of the rectangular
field? Answered by Penny Nom. 





A 12 acre parcel of land 
20121228 

From John: What are the dimensions of a 12acre parcel if it is 3 square acres deep and 4 square acres wide? Answered by Penny Nom. 





Increasing the size of a gift box 
20121227 

From Tehmas: The dimensions of a gift box are consective positive integers such that the height is the lowest integer and the length is the greatest integer. If the height is increased by 1cm, the width increased by 2 cm, and the length increased by 3 cm, then a larger box is constructed and the volume is increased by 456 cm^3. Determine the dimensions of each box. Answered by Harley Weston. 





A parabolic bridge 
20121209 

From Elizabeth: 1) The figure below shows a bridge across a river. The arch of the bridge is a parabola and the six vertical cables that help support the road are equally spaced at 4m intervals. Figure B shows the parabolic arch in an xy coordinate system, with the leftend of the arch at the origin. As indicated in Figure B, the length of the leftmost cable is 3.072 m.
I'm suppose to find the (xh)^2=4a(yk) equation for this word problem and I really do not know where to begin.
Afterwards, I need to find the lengths of the other cables and the maximum height of the arch of the road as well which I am very confused about Answered by Penny Nom. 





An arrow is shot straight up in the air 
20121206 

From heather: The skywalk is a glass bottomed platform that hangs over the edge of the Grand Canyon and is suspended 4000 feet above the floor of the canyon. If a tourist shot an arrow straight up in the air from the observation platform, the arrow's height could be modeled by H(t) =16^2 + 240 + 4000 where H(t) is the height of the arrow above the canyon floor in feet t seconds after being shot, t>0.
(a) Find H(5) and explain its meaning Answered by Penny Nom. 





Factor (6a^25a+1)(8a^26a+1)(12a^27a+1) 
20121116 

From bailey: Factorise f(a)=(6a^25a+1)(8a^26a+1)(12a^27a+1)
thus find [f(a)]^1/2 Answered by Penny Nom. 





The sum of a number p and twentyone 
20121030 

From mayra: the sum of a number p and twentyone Answered by Penny Nom. 





Introductory algebra 
20121030 

From kevon: if x = 7 is used in the expression 2x + 5 what is the output Answered by Penny Nom. 





Forming an algebraic expression 
20121027 

From ashley: A sidewalk has a constant width W and comprises several short sections having lengths
12, 14,and 10 feet. How do I find the simplified expression that gives the number of square feet of sidewalk? Answered by Penny Nom. 





A label to cover a plastic cup 
20121023 

From Kevin: I'm trying to make a label to cover the entire outer area or a plastic cup. I know there must be a way to figure out the dimensions needed, but I can't seem to figure it out. The circumference of the bottom of the cup is 21.4cm and the circumference at the top of the cup is 29.8cm. The cup is 14.5cm tall. What should the height of the arc from the plane connecting the two ends of the 21.4cm arc. I attached a diagram where x is the value I'm looking for. I'm guessing there is some simple relationship between the length of a line and the arc needed to turn that line into a perfect circle, but I don't know what it is. Can you figure this out and share it with me? Thanks.
Kevin Answered by Penny Nom. 





Solving for a/b 
20121021 

From Jenny: If a + 3b is equal to 175% of 6b, what is the value of a/b? Answered by Penny Nom. 





Passing out graph paper 
20121018 

From Andrea: mr karnowski has a stack of 125 sheets of graph paper.He is passing out g sheets to each of his students. What is the expression for the number of sheets he will pass out to the first 5 students? Answered by Penny Nom. 





A tank with an inner walled compartment 
20121012 

From don: I have a tank 20 feet diameter, 19' 8" tall with an inner walled compartment that has a 7' 6" radius arc with in the tank. I need to figure out the volume of the inner area and the volume of the larger area. Answered by Harley Weston. 





A problem that yields a linear equation 
20121007 

From Eshraj: one fourth of a whole number is three more than one fifth of the next whole number.find the whole number Answered by Penny Nom. 





Find an algebraic expression 
20121003 

From Karen:
Question from Karen, a parent:
Find an algebraic expression relating the input and output.
input 
output 


3 
1 
9 
3 
15 
5 
21 
7 
27 
9 
Answered by Penny Nom. 





Solve 8tr=12t for t 
20120929 

From Monejah: I need help solving 8tr=12t for t Answered by Penny Nom. 





The dimensions of a rectangle 
20120912 

From Becky: A rectangle has an area of 48 square inches and perimeter of 32 inches. Find the dimensions of the rectangle. Answered by Penny Nom. 





(2y+1)/3=(1y1)/2 
20120906 

From jenna: (2y+1)/3=(1y1)/2 Answered by Penny Nom. 





The area of a rectangle 
20120831 

From mario: The area of a triangle when on side is x and the other is x+6 Answered by Harley Weston. 





Making a wind sock 
20120828 

From John: I am trying to build a wind sock and need to be able to lay the shape
out on cloth. I need the wind sock front opening (diameter) to be
3 1/2" and the rear opening diameter to be 1". The windsock needs
to be 9 1/2" long. I tried using the example of the person trying to
make a crayfish trap but got confused and could not figure out my
numbers. Any help would be greatly appreciated.
Thanks
John Answered by Penny Nom. 





A tapestry rod on a curved wall 
20120814 

From Marlyn: I have a curved wall with a radius of 6'. I am trying to have a 36" rod made to hang a tapestry and need to figure out the degree measure of the arc.
Can you help me please? Answered by Penny Nom. 





The difference between two numbers is 7. 
20120809 

From May: The difference between two numbers is 7. When the two numbers are multiplied the answer is 60. How do I work out the two numbers,I tried solving for one unknown and substitution and can not do it. Pleas show me how to do this. Answered by Penny Nom. 





A 10 inch circle using 2x4s 
20120519 

From Ralph: I want to form a 10" circle with 4"high pieces of 2 x4's. If each 2x4 piece sit next to each other,What degree would I have to cut
each side of the 2x4's, and how many would I need to form a 10 inch circle. I know there is a formula for this out there somewhere. Answered by Harley Weston. 





Measuring the liquid in a horizontal tank 
20120228 

From Philip: I have a steel gas tank that is 3' dia X 5' length. The total volume is 1000 litres.
But how much is left when I use a stick and measure 6" from the bottom or 12" or 24" ??
Is there a formula to use for this task?
Thanks. Answered by Harley Weston. 





Figures with dots 
20120215 

From A: Okay so my daughter came home and had this question for homework from her teacher. I have no idea what it means HELP!!
The question shows a figure that is a square. It has 5 dots on the top, bottom and on the sides looks similar to this:
. . . . .
. .
. .
. .
. . . . .
they want to know 3 more ways to show the number of dots in the figure. They have already shown one with just counting them
and the other one that they showed was circling the four corner dots and then taking the dots in between with a number sentence set up
like this: 4+4*(52) = 4+4*3= 16. They also besides giving 3 ways want us to write a number sentence and an algebraic sentence to show the number of
dots in the figure with "n" sides. Please help! So confusing ! I don't know if my square turned out or not but it should be 5 across the top and bottom and
on the sides and no dots in teh middle it is just the outside. Answered by Penny Nom. 





Building a tipi 
20120129 

From Lacy: Hi there!
We are building a tipi for our children. We want to build a large one about 15ft tall with a base of about 15 feet diameter. I am trying to figure out how much canvas we need to accomplish this. I graduated about 20 years ago and am struggling. Please help if you can. Answered by Penny Nom. 





8(3x+4)+6x=4(x8 )+4x 
20120118 

From bianca: 8(3x+4)+6x=4(x8 )+4x Answered by Penny Nom. 





What is the height of the triangle? 
20120112 

From Hailey: The area of a triangle is 77ft2. if the base is 11ft. how tall is the height? Answered by Penny Nom. 





Sum and difference of squares 
20111231 

From Anne: Se x e y são números reais distintos, então:
a) (x^2 + y^2) / (x  y) = x + y
b) (x^2 + y^2) / (x  y) = x  y
c) (x^2  y^2) / (x  y) = x + y
d) (x^2  y^2) / (x  y) = x  y
e) Nenhuma das alternativas anteriores é verdadeira. Answered by Harley Weston. 





i+i^2+i^3+i^4...+i^102 
20111213 

From megan: how do you solve i+i^2+i^3+i^4...+i^102 Answered by Robert Dawson. 





factor 6x219x+3 
20111210 

From pedro: factor 6x219x+3 Answered by Penny Nom. 





What does 2xy mean? 
20111207 

From dana: I don't know what is 2xy what does that mean? is it 2x+2y or 2x times y
Please help! thank you for your time!! :) Answered by Penny Nom. 





The dimensions of a rectangle 
20111111 

From Ivan: The length of a rectangle is 31 centimeters less than five times its width. Its area is 72 sq centimeters. Find the dimensions of the rectangle. Answered by Penny Nom. 





3 fish 
20111027 

From Ann: You have 3 fish weighing a total of 21 lbs. The largest fish weighs twice as much as the second fish and the third fish weighs half the amount of the second fish.
So how much does the third fish weigh? Answered by Penny Nom. 





Expanding the size of a table 
20111016 

From Ericka: You are working as a carpenter in an industrial Shop. A customer came to you and inquired about the size of the table which would be fitted in her room. She informed you that she had already a 1.5 x 1m table in her room but she wanted to maximize the space by adding the same amount to is length and width. She is planning to occupy a 3 square meter place on her room for her to work comfortably. She is requesting you a written recommendation before she asked to make a table. What amount should be added to both sides to maximize a 3 square meter area? Answered by Penny Nom. 





A rectangular wall 
20110912 

From Jimi: The area of a rectangular wall of a barn is 110 square feet. It's length is 12 feet longer than twice its width. Find the length and width of the wall of the barn. Answered by Penny Nom. 





A beginning algebra question 
20110910 

From Tobby: A=1/2 solve for h.area of a rectangle with b and h Answered by Penny Nom. 





A stained glass lamp 
20110725 

From Guy: Like Kay, I also work in stained glass, but in 3dimensions. I am
frequently asked to replicate lamp shades in stained glass where the
diameter of the top is different (narrower) from the diameter of the
bottom (which is wider). Some people want 5, 6, 7, 8, 10, 12, 16, ,,,
nsided shades. Is there a formula I can use to determine the width
of the sides using the angle, if I remember correctly, I think it's
called theta. In other words, is there a formula where I can plug
in the angle which describes the arc of the circle. For instance, if
someone asks for a 7 sided shade, plugging in 51.43 (360/7). I
could then use that to determine the width at the top and bottom
rings to create the appropriate trapezoids. I've visited a few sites
so the formula looks like its a function of sin & cos but they are
presented like proofs for teaching. Your site appears to want to
actually answer questions without making the inquirer feel stupid. Answered by Harley Weston. 





The height of a fluid in a horizontal tank 
20110724 

From jason: Same set up as many others, cylindrical tank on its side, but I am interested in defining the change in volume and/or fluid level as a function of time at a constant volumetric outflow. I plan on hooking a pump to the tank so "gpms' will be constant. I have a couple different sized tanks and pumps so I want a general equation. Thanks for your help. Answered by Harley Weston. 





The length of a belt around three pulleys 
20110518 

From Grant: I need to calculate the belt length around these pulleys, please can you
help or refer me?
Known variables
D  Large Pulley Diameter
d  Small Pulley Diameter
c  Center Distance between D and d
T  Tension Pulley Diameter
x  Horizontal Distance between T and d' Centers
y  Vertical Distance between T and d's Centers
I need to calculate the belt length around these pulleys.
Kind Regards,
Grant Answered by Harley Weston. 





What was his salary before the raise? 
20110516 

From Annette: Need to show all my work and round to the nearest dollar.
If James received a 9% raise and is now making $102.00 per year, what was his salary before the raise? Answered by Penny Nom. 





The dimensions of a rectangle 
20110508 

From yolanda: If the length of a rectangle is 3ft less than twice its width and the area of the rectangle is 54ft^2,what are the dimensions of the rectangle? Answered by Penny Nom. 





(4x5)(3x+2)=0 
20110504 

From Corina: solve: (4x5)(3x+2)=0 Answered by Penny Nom. 





How many students are 25 and under? 
20110501 

From ella: use the five steps of problem solving to answer the following question
Enrollment at a local university is 8,500. There are one third as many students over the age of25. there are 25 and under. how many students are 25 and under and how many are 25 and older(p 5) Answered by Penny Nom. 





The area of a rectangle 
20110430 

From Hayley: A rectangles width is exactly twice its length. The area of the rectangle is 450 square feet. What are the length
and width of the rectangle? Answered by Penny Nom. 





Deciding where to bowl 
20110429 

From ella: the bowling alley on wedge street charges $5.50 for shoe rentals plus $2.50 per game. lawerence bowing alley charges $4.00 shoe rentals and $3.00 per game . how many games should they bowl to make wedge street cheaper than lawerence street Answered by Penny Nom. 





x/6 + 4/5 = x/9 
20110410 

From Khadija: x/6 + 4/5 = x/9 Answered by Penny Nom. 





The perimeter of a rectangle 
20110404 

From aspen: the perimeter of a rectangle is twice the sum of its length and its width. the perimeter is 40 meters and its length is 2 meters more then twice its width. what is the length? Answered by Penny Nom. 





[(90+364) ÷ 2] x 15 = 
20110330 

From ken: [(90+364) ÷ 2] x 15 = Answered by Penny Nom. 





6(M1/9)=55/12 
20110315 

From Colleen: 6(M1/9)=55/12 Answered by Penny Nom. 





Three consecutive odd numbers 
20110311 

From George: Write an equation three consecutive odd numbers whose sum is 75 Answered by Penny Nom. 





Calibrating a conical tank 
20110205 

From Bill: Hi, I have a round tank with tapered sides where I know the diameter at the top and bottom. Is there a formula I can use to calculate the volume by measuring from the bottom up the side (at the angle of the side) to any given point? Thanks, Bill Answered by Stephen La Rocque and Penny Nom. 





A fence around a water tank 
20110201 

From Heath: I am building a fence around a water tank. the fence is to be in the shape of a normal octagon. The tank has a circumference of 57 ' 6''. I would like the fence to be 3 ft from the tank at the skinny point . How would I calculate(for the simple guy) where to set each of my 4x4 posts at the 8 corners. Any help would be greatly appreciated. Answered by Harley Weston. 





The area of a rectangle 
20110131 

From T.S.: for which value of w does the rectangle below have an area of 864 square units if sides are width=w+15 and length=w15 Answered by Penny Nom. 





A rectangle 
20110116 

From meg: if a rectangle has a length that is 3cm less than 4 times its width and its perimeter is 19cm, what are the dimension? Answered by Penny Nom. 





2x = 2+2x 
20110115 

From james: 2x=2+2x can you help me find what x epauls? Answered by Penny Nom. 





Matt is thinking of two numbers 
20110114 

From mary: Matt is thinking of two numbers. One number is 9 more than the other number. The sum of the numbers is 45. What are the numbers? Answered by Penny Nom. 





An algebra problem with fractions 
20101016 

From Morgan: Hi my math teacher has given us this question for our grade nine math
class and I always get confused about multiple x algebra, could you help me?
6x+4 3x+2
 = 
3 5
I have no problems until it comes to combining integers, or x's Answered by Penny Nom. 





A linear system 
20101015 

From Sandy: HARD!! algebra (Linear Systems) question?
An Airplane cruises at 120km/h in still air. One day, when the wind was blowing steady from the west, the airplane travelled west (flying into the wind) and landed at its desination after 1.5h. The airplane's return trip (flying with the wind) was only 1.0 h long. On both legs, the airplane travelled at its cruising speed. (meausred with respect to the air surrounding the airplane).
Part A
Write a System of equations that would allow you to determine the speed of the wind blowing that day and the distance travelled each way
Part B
When solving the system of equations graphically, what equations would you enter into the equation editior (to make graphs on your calculator)
Part C
Indicate what the X and the Y represent Answered by Stephen La Rocque. 





2x − 1 ( 1 − 2x) = 1 ( 2x − 2x) 
20101008 

From MC: Solve 2x − 1 ( 1 − 2x) = 1 ( 2x − 2x) for x
I am befuddled! Thank you for any explanation you can give that show me the steps.
I know the order in which I should tackle it, but am so confused regarding how to
assume x. Thank you! Answered by Penny Nom. 





20% profit on the selling price 
20100924 

From ata: My cost is 100 and I want to make 20% profit on my selling price (not 20% of the cost). So, what should be calculation formula? Let's say my cost is 493.71 and I want to make 53.28% profit on the selling price; so how to determine the selling price? Answered by Penny Nom. 





A reverse PST calculation 
20100923 

From Manning: Hi, I'm a manufacturing contractor in Saskatoon. The way to calculate PST for us is using total contract amount x 70% then 5%.
For example, contract amount of $100 x 70% x 5% = $3.5 (PST). The subtotal is using contract amount + PST.
$100 + $3.50 = $103.50.
If you only know the subtotal is $103.50 including PST, how do you reverse calculation to get the contract amount?
Thank you very much for your help. Answered by Harley Weston. 





An algebraic equation with fractions 
20100910 

From leah: If 6/x  (x1)/2 = 4
then the LCD is 2x, right?
so you get 12/2x  (x2x)/2x = 8x/2x, right?
then what do you do with the 2x when you turn it into a quadratic equation? Answered by Penny Nom. 





Algebraic Equations 
20100810 

From Justin: the amount of money that Mika has if she has some quarters
how fast Rya runs if she runs 5 mi/h slower than Danae
please help,
thanks, justin Answered by Robert Dawson. 





A shrunken car 
20100731 

From Diana: Car manufacturers have outdone themselves. They have discovered how to shrink a car to make parking easier. At the touch of a button, a car shrinks by 2 feet in the width and 4 feet in the length. The original car base is 24 square feet longer than that of the shrunken car. If the original cars length is twice the width, find the dimensions of both cars. Identify the unknowns carefully. Answered by Penny Nom. 





An octagon shaped bench 
20100709 

From rob: i am trying to build a octagon shaped bench to fit inside a 69 inch round hot tub so that the tip of each point touches the edge of the circle where it will be fastened. Answered by Stephen La Rocque. 





An algebraic fraction 
20100628 

From luis: 3x2//43x=12 Answered by Stephen La Rocque. 





Which values of x satisfy (x2) / (x+4) <7 
20100523 

From Rocco: Which values of x satisfy (x2) / (x+4) <7 Answered by Harley Weston. 





(x+1)(x+2)(x+3)/(x+1)(x+2) 
20100519 

From Nazrul: Simplify : (x+1)(x+2)(x+3)/(x+1)(x+2)
Which answer is correct:
(i) x+3
(ii) (x+2)^2(x+3)
Please help me. Answered by Harley Weston. 





A loop 
20100505 

From Amir: what is loop theory in algebra? Answered by Chris Fisher. 





How many terms are in the simplified expression? 
20100429 

From Anu: The expression (x+y+z)^2006 + (xyz)^2006 is simplified by expanding it and combining like terms.
How many terms are in the simplified expression?
I've spent hours on this. pls help!!!
Also, is answering these questions a paid job for you or is it volunteer work?
I'd like to join an ask and answer site for math, (when I grow up)
How does one go about doing that? Answered by Robert Dawson. 





The width of a picture frame 
20100428 

From Daniel: The frame of a picture is 28 cm by 32 cm outside and is of uniform
width. What is the width of the frame if 200 cm ^2 shows? Answered by Penny Nom. 





A rectangular garden 
20100425 

From Billy: Tanisha wants to make a rectangular garden with a perimeter of 38 feet. What is the greatest area possible that tanisha can make the garden? Answered by Penny Nom. 





Algebraic fractions 
20100422 

From rory: 3x/(x²64)+4/(x²6x16)= Answered by Robert Dawson and Harley Weston. 





The length and width of a table 
20100419 

From Linda: The length of the top of a table is 2 feet longer than 4 times the width.
The area is 72m squared. Find the dimensions of the table. Answered by Penny Nom. 





Four less than three times a number is 14 
20100416 

From David: My daughter has two questions that we could use some help with.
First ?
Four less than three times a number is 14
Secound?
The quotient of 15 and w Answered by Penny Nom. 





A rectangle problem 
20100412 

From Charlene: The ratio of the width to the length of a certain rectangle is equal to the ratio of its length to the difference between its length and twice its width. If the area of the rectangle is 25cm^2, then what are its dimensions? Present a non algebraic solution? Answered by Tyler Wood. 





Coins in 3 parking meters 
20100327 

From Zena: There are 227 coins altogether in 3 parking meters.
The second meter has 37 more coins than the first meter.
The third meter has twice as many coins as the second.
How many coins in each meter? Answered by Penny Nom. 





y = kx 
20100326 

From harold: if y =kx and y =4/15 and x=2/3, what is value of k Answered by Penny Nom. 





Selling lettuce 
20100311 

From Mike: Day 1 started with 80 heads of lettuce and x were sold.
Day 2 started with two times the number of heads of lettuce that was left
over. Again, only x were sold. Day 3 started with 3 times the number
of lettuce from what was left over from day 2 and all was sold. What
was the # of lettuce sold on each day? Answered by Penny Nom. 





Log[f(x)] 
20100308 

From sourabh: What is the number of solutions of the equation
9 x 2  18 x + 5 = 0 for x, such that the expression
log10[(x+1)(x+2)] exists? Answered by Harley Weston. 





Redwood Park and Glendale Park 
20100305 

From Shaun: Question from Shaun, a student:
Redwood and Glendale Parks are each surrounded by 100 yards of
fencing. The are of Redwood Park is 25 square yards more than the area
of Glendale Park. If both parks are rectangles, what is the measurement
of each rectangle? Answered by Harley Weston. 





Standard form 
20100305 

From Laura: How do I change 3y=4x+1 into standard Ax+By=C standard form. This is my son's schoolwork. I homeschool him. I got the answer to the problem as 3y=4x+1, but it needs to be written in standard form and I know it needs to read 4x3y=1, but how do I get that answer into standard form. I need to know how to explain it to him. Can you show me? Thank you so much. Answered by Penny Nom. 





The dimensions of a rectangle 
20100303 

From Kirsten: A rectangle is twice as long as it is wide. Its area is 128 square meters. What are the dimensions of the rectangle? Answered by Tyler Wood. 





An algebraic equation with fractions 
20100219 

From Ingrid: What is the solution set of the equation x over x plus 4 = 1 over x plus 3 = 28 over x to the 2nd power  x 12? Answered by Penny Nom. 





The center of a rectangular room 
20100216 

From Diana: Consider a rectangular room, 15 feet wide, 30 feet long and 12 feet high. What is the exact distance from any of the 8 corners of the room and its geometric center? Can you write a generic formula for such a distance? And if we keep the same proportions on all dimensions, can you write an expression for the same distance as a function of the floor perimeter? Answered by Penny Nom. 





The dimensions of a flag 
20100215 

From dawn: a state flag was twice as long as it was wide and had an area of 288 sq inches, what were its, dimensions
Thanks Answered by Penny Nom. 





Mixing oil 
20100203 

From Andrew: A dealer wishes to produce 300 gallons of oil worth 40cents a quart. He has oil worth 36cents a quart and oil worth 52cents a quart. How many quarts of each should he mix? Answered by Penny Nom. 





divide the product of 'x' and '3y' by '2z' 
20100119 

From shradheya: write all fall using variable ,number, and basic operation
1. divide the product of 'x' and '3y' by '2z'. Answered by Penny Nom. 





Setting up an algebraic equation 
20100118 

From jerry: the 1st of 4 books has twice as many pages as the 3rd. The 2nd book has 30 pages less than the 1st. The 4th has 42 pages more than the 1st and 2nd books combined. there are 567 pages in total. How many pages are in each book. Answered by Penny Nom. 





4x +3/4 = 1/4 
20091212 

From Lynda: 4x +3/4 = 1/4
I know the answer is 1/8 but I don't know how to show the process of getting the answer Answered by Penny Nom. 





Books on a shelf 
20091025 

From Julie: a bookshelf is 36 inches long and contains (x) books each (n) inches thick. If each book half an inch thinner, the shelf would hold six more of the same book. What is x/n Answered by Penny Nom. 





f(x + h)f(x) 
20090907 

From Marie: For each function defined as follows, find a.) f (x+h) b. f(x+h)f(x) c. [f(x+h) f(x)]/h.
Problem: f(x)= 1/ x^2. Answered by Harley Weston. 





The area of a rectangle 
20090821 

From roxanne: the dimensions of the rectangle: 3x length and 4x width. What is the area of the rectangle in square units? Answered by Penny Nom. 





PreAlgebra Resources 
20090716 

From M: What is the best pre algebra book that is inexpensive and will really help
me to understand pre algebra? Answered by Janice Cotcher. 





Finding the Line Joining Perpendicular Feet 
20090716 

From mukulu: Please help I've been tryng to search in your data but i failed to get the solution Find the equation of a straight line joining the feet of the perpendiculars drawn from the point A(1,1) to the line 3x3y4= 0 and 3x+y6=0. Answered by Janice Cotcher. 





The product of two consecutive integers 
20090713 

From kelly: the product of two consecutive integers is 9 less than the square of the second integer Answered by Penny Nom. 





x^3+1/x^3=18*sqrt(3) 
20090708 

From Nazrul: If x^3+1/x^3=18*sqrt(3) then how can I evaluate the value of x+1/x?
Thank you for your help. Answered by Robert Dawson. 





Solving an Algebraeic Equation with Fractions 
20090604 

From olivia: solve for x
(3x1)/4 + (x+3)/6 = 3 Answered by Janice Cotcher. 





Solve 18(C3)=162 for C 
20090529 

From Alicia: 18(C3)=162
adult student returning to school after 20 years and
then never had it in school. Just doesn't click yet Answered by Penny Nom. 





Winding paper after a break 
20090410 

From Olen: Question from Olen:
I work in a paper mill and have been handed the task to search for a formula to determine how much paper needs to be added to a parent roll to make up the difference at the winder. (Ex. The spool diameter at the reel is 18.25" we measure roughly 33.5" to make two 58" rolls in the winder. If the is a paper break and the roll diameter in the winder is 30" how much do I add to a single parent roll (22" roughly) to make one 58 " and the 28" needed at the winder. I would appreciate any help to complete this task. I would like to be able to build a chart that operators can refer to based on what is needed. Thank you. Answered by Harley Weston. 





A five game average of 148 
20090401 

From Shelly: (128 + 145 + 139 + 157 + x) divided by 5 = 148 matches the situation stated below:
A person bowled four games and scored 128, 145, 139, and 157. Find x, the score the person would need to have in the fifth game to average 148 for all five games.
How do I solve this and how am I supposed to add x like it says in the equation? Answered by Penny Nom. 





x^2/5  4/5 = 3/5x 
20090325 

From Lorrie: x^2/5  4/5 = 3/5x Answered by Penny Nom. 





Fertilizer in a bin 
20090203 

From Todd: Hello I am looking for a formula to figure out the fertilizer volume in a hopper bottom bin not only when it is full but part full as well. When you are filling it is heaped up in the middle to make a cone and when you are emptying the bin the cone is inverted so it would be nice to be able to quickly figure out the tonnes partly filled and when full.
Lets say the bin is 32 feet high from top of bin where you fill to the bottom where the product goes out and it is 16 feet in diameter. I know how to calculate the cylinder it is the cones on the top and bottom of the bin I have the main question on. Answered by Harley Weston. 





Calculating markup 
20090203 

From Tonya: I'm trying to figure out the formula for the following, I have a product that I want to receive a certain profit, but with this product I also have to pay a percentage of commission to someone. I need to know how to calculate my new selling price taking into account the markup percentage, but I don't want my cut to be lowered. I have calculated the markup percentage to get my new selling price with the commission, but it lowers my cut once I pay the commission and I don't want it to do that. Thanks Answered by Penny Nom. 





Find area of the rectangle in terms of L. 
20090127 

From Arlen: The length of a rectangle is L. The width is 8 less than the length. Find area of the rectangle in terms of L. Answered by Penny Nom. 





Solve (3x2)/4  3x = 12 
20090126 

From michelle: 3x2/4  3x = 12 Answered by Penny Nom. 





The whole number that precedes a number w+3 
20090117 

From Morgan: write a variable expression for
"The whole number that precedes a number w+3" Answered by Penny Nom. 





An expression for q quarters and n nickles 
20090116 

From Morgan: a variable expression for:
"The value in cents of q quarters and n nickels" Answered by Penny Nom. 





For which integers a, b, c does a  b  c = a  (b  c)? 
20090113 

From Johanna: For which integers a, b, c does a  b  c = a  (b  c)? Answered by Penny Nom. 





Eric bought 3 sweaters and 1 pair of pants 
20090101 

From maya: eric bought 3 sweaters and 1 pair of pants. Each sweater cost d dollars and the pants cost 20 dollars. Eric spent a total of 95 dollars. The equation below can be used to determine the cost of each sweater. what is the answer? Answered by Penny Nom. 





Solve for x 
20081216 

From Melissa: I have a test tomorrow and I'm hoping you can help me before then. I can never seem to solve the "RESOLVE X" problems, or in french resous pour x/
They look like this. 3x+2\6=2x5\3. I only understand NOTHING from that.
Another equation is 2(x+1)=3(x+2). Answered by Robert Dawson and Penny Nom. 





Determining the Unknown Numbers 
20081206 

From jacob: the sum of two numbers is 45 and their difference is 15. what are the two numbers? Answered by Janice Cotcher. 





An algebraic exercise with fractions and radicals 
20081118 

From Rubén: Question from Rubén, a teacher:
I have the ecuation:
U = [yb / (ab+a^2)]^1/2 + [ya / (ab+b^2)]^1/2
I know for sure this reduces to
U = [y (1/a + 1/b)]^1/2
but I cannot find a way to get into that result!
Thanks Answered by Rubén Osuna. 





Equations with fractional powers and roots 
20081112 

From David: Find all real solution to each equation.
x^2/3 = 9 how do you do this if its to the power
x + 1= Square root (3x +13) can you explain how to get an solution with square root? Answered by Penny Nom. 





Algebraic equations with fractions 
20081107 

From John: Solve each equation. Check each solution.
1/8+5x/x+2=5/2 10/2y+8  7y+8/y(squared)16 = 8/2y8 Answered by Harley Weston. 





Solve the equation 2x + y = 6 for y. 
20081107 

From fatiuma: Solve the equation 2x + y = 6 for y. Answered by Penny Nom. 





Algebraic fractions 
20081006 

From Kayla: (x^29)/x times (x^34x)/(x^2+5x+6) Answered by Harley Weston. 





Adding fractions 
20080917 

From amanpreet: please can you help me to simplify:
2(c3) / 7 + 3(4c2)/2 Answered by Penny Nom. 





Two Step Equation 
20080917 

From calea: i really dont now what twostep equation means? Answered by Janice Cotcher. 





Cows, chickens, heads and feet 
20080901 

From marina: Iam helping my 6th grader son solve this problem. I found similar problem in the Q&A.I understood the simple answer without using an equation. I want to solve this using the equation.This is the question about chicken and cows. There are cows and chickens in the farm. There are 65 heads and 226 legs. How many chicken are there? Answered by Harley Weston. 





v4(4v) = 2(2v1) 
20080829 

From c: Please explain all the steps to solving this
v4(4v) = 2(2v1) Answered by Penny Nom. 





An algebraic expression 
20080829 

From Antonio: write a variable expression for 9 less than k Answered by Penny Nom. 





Algebra 
20080810 

From Reasat: How to understand algebra? Answered by Stephen La Rocque. 





1/X2 + 3/X+3 = 4/X^2+X6 
20080806 

From Molly: Hi, I'm beginning precalc this semester, and for practice over the summer, the teacher has given us a review packet with algebra 2 stuff. Well, I've forgotten most of the fraction stuff on it. Would you please help?
Here's the question:
1/X2 + 3/X+3 = 4/X^2+X6 Answered by Penny Nom. 





Solving with the Natural Log 
20080728 

From CB: I am trying to solve lnx +3ln2 = ln 2/x. Every way I've tried when I go to plug in the solution it doesn't come out right. Answered by Penny Nom. 





Solving for Two Variables 
20080724 

From Mary: can you help,
2/35= 1/x +1/y ; x Answered by Janice Cotcher, Victoria West and Harley Weston. 





Four Positive Integers 
20080720 

From william: let a, b, c and n be positive integers. If a+b+c=(19)(97) and a+n=bn=c/n, compute the value of a. Answered by Janice Cotcher. 





multiply = 3a  3b by a+b 
20080715 

From chaleen: multiply = 3a  3b by a+b Answered by Penny Nom. 





x=(14x+16)/x8 
20080611 

From Kory: Solve the equation.
x=(14x+16)/x8 Answered by Penny Nom. 





Substitution into a formula 
20080602 

From beth: Given q(x) = 7xsquared + 9, find q(7)
These were the choices I had for the answers to this problem
1.) 343
2.) 40
3.) 334
4.) 89
5.) 352 Answered by Penny Nom. 





1+1/1+1/x 
20080521 

From nadean: 1+1/1+1/x Answered by Penny Nom. 





The sides of a rectangle 
20080516 

From bill: The area of the rectangle is 170 sq.ft. the width is unknown and the length is the width plus 7 ft.
I set it up like this w(w+7)=170 and this is where I get lost. Thanks, Bill Answered by Penny Nom. 





The rectangle with smallest perimeter 
20080401 

From nicole: when given an area,squares are the rectangles with the smallest perimeter write the length and width of the rectangle with the smallest perimeter Answered by Penny Nom. 





Algebraic fractions 
20080221 

From sergio: how to simplify
(x^2 +5x+6)/(x^2  4) x (x^2 5x+6)/(x^29) Answered by Stephen La Rocque. 





18x=6(x*x) 
20080220 

From peyton: 18x=6(x*x) Answered by Stephen La Rocque. 





Subtracting two algebraic fractions 
20080217 

From Willie: Subtract and express the answer in simplest form. 5x3/6x+3/6 Answered by Penny Nom. 





The angles in a parallelogram 
20080211 

From lauren: if the sum of the measures are 360 in a parallelogram. a and d are same measures, c and b are same too. If c is twice the measure of a what are all the angles? Answered by Penny Nom. 





A 20 foot board is cut into two pieces 
20080211 

From Sherry: A 20 foot board is cut into two pieces. If we let x= the length of the longer piece, what is the length of the shorter piece? Answered by Stephen La Rocque. 





Sum and difference of cubes 
20080130 

From Amanda: It has been a really long time since I was in Algebra and I can't remember how to factor cubes such as x^3 +81 or subtracting/adding fractions with variables such as [1/(x+h)+2][1/x+2]. Please help!!! Answered by Penny Nom. 





8/9 + x = 9/5 
20080117 

From nas: 8/9+x=9/5 Answered by Penny Nom. 





2 divided by x plus 1 is equal to 3 
20080114 

From chilly: with x being the subject of the formula, what is the answer of 2 divided by x plus 1 is equal to 3? Answered by Penny Nom. 





2(x  5) + 45 = 4  (3  2x) 
20080109 

From Kieran: Solve
2(x5)+45=4(32x) Answered by Penny Nom. 





An algebra exercise 
20071022 

From Math: The number of moles of an ideal gas can be found from the formula:
PV/RT=N
solve the formula for "R", the ideal gas constant. Answered by Penny Nom. 





sin 43= y/20 
20071021 

From stefany: if sin 43= y/20, what is the value of y to the nearest tenth? Answered by Penny Nom. 





3x2/3 = 12/3 
20070928 

From Shafan: 3x^2=12 Answered by Penny Nom. 





The country with the most universities 
20070928 

From j: the country with the most universities is india followed by the united states. If india has 2649 more universities than united state and there combine total is 14,165, find the number of universities in india and the number in the united states. Answered by Stephen La Rocque. 





1/2+X=5/8 
20070924 

From Tasha: What is the sum of X in the problem below and explain your answer please?
1/2+X=5/8 Answered by Chris Langdon. 





2x+1+x4+4x+1 
20070906 

From laurie: 2x+1+x4+4x+1 Answered by Penny Nom. 





13 = x/20 
20070906 

From Melissa: can u please help me with this question?
13 = x/20 Answered by Penny Nom. 





The quotient of thirty and ten times a number. 
20070902 

From Jenna: I need help on How to translate a phrase into an algebraic expression:
The quotient of thirty and ten times a number. Answered by Penny Nom. 





Adding algebraic fractions 
20070814 

From John: Ive completely forgot anything to do with the subject mentioned, so my question is straight to the point..
I need to know how to do the following problem (Preferably do not give me an answer though)
(k/3k8)  (4/k+2) Answered by Penny Nom. 





10r^2  35r = 0 
20070813 

From Aranxa: how do u solve this equation by factoring:
10r^2  35r = 0 Answered by Penny Nom. 





If x = 2 then 4 + 5x / 4 + x = ? 
20070718 

From Daniel: If x = 2 then 4 + 5x / 4 + x = ? Answered by Stephen La Rocque. 





How many women and men math students are there? 
20070709 

From Bing: there are 38 math students. How many men and women strudents are there if the women exceeded one half of the men by 17? Answered by Stephen La Rocque. 





Algebraic EquationsAx+By=C 
20070702 

From Juan: The general "Standard" form of an equation is Ax+By=C.
ReWrite this equation in slopeintercept (y=mx+b) form. Answered by Harley Weston. 





Algebra : 9x + 7 = 5x  3 
20070615 

From Allen: I am having a problem solving for x. The problem is:
9x + 7 = 5x  3 Answered by Stephen La Rocque. 





Algebra  find the number 
20070604 

From Fabiola: When 4 times a number is increased by 40, the answer is the same as
when100 is decreased by a number. Find the number Answered by Stephen La Rocque. 





2x + 3x = 30 
20070601 

From Jessica: 2x+3x=30 Answered by Stephen La Rocque. 





Factor Completely 
20070529 

From Ema: Question 1:
Factor completely.
3x(x – 4) + 5(x – 4)
Question 2:
Factor completely.
x^2 + 2x + 3 Answered by Penny Nom. 





y=mx+b 
20070529 

From molly: Im having a problem with the y=mx+b for our homework we have a table that goes from 0 to 6 , 1 to 7 and 2 to 8 and we have to make a equation of that. Please help. Answered by Penny Nom. 





x/2+3=2 
20070528 

From Ethel: what is the formula and the answer to x/2+3=2? Answered by Penny Nom. 





Algebra (Solve for B) 
20070523 

From Mark: A = .250 * (B^2*SIN(C)) / (D*COS^2(E)). I need to solve for B. Answered by Stephen La Rocque. 





(3x2(x3)+2)(3x2(x3)+2) 
20070517 

From Jeff: (3x2(x3)+2)(3x2(x3)+2) Answered by Penny Nom. 





Algebra problem 
20070510 

From Sam: What is the proper answer for this equation?
3x  2 ( 5y (4x +2)) Answered by Stephen La Rocque. 





Prealgebra volume of a prism 
20070510 

From Brenda: Find the volume of a triangular prism with a base of 5 cm by 5 cm and a height of 12.5 cm. Round to the nearest tenth. Answered by Stephen La Rocque. 





Interest Rates 
20070509 

From Julia: Using the formula I=PRT to figure out the missing variable.
P=$9530, T=7 months, A= $9919.14 Answered by Stephen La Rocque. 





What number am I? 
20070509 

From austin: i am a positive integer if im squared 5 is added to me. 10 is subtracted from me, and the remainder is divided by 2 the result is 7. what integer am i Answered by Stephen La Rocque. 





Who was the mathematician that united algebra and geometry? 
20070508 

From Victor: who was the mathematician that united algebra and geometry Answered by Penny Nom. 





Algebra 
20070416 

From Eugene: X over 2, 3 =0 ? Answered by Haley Ess. 





Algebra 
20070403 

From Emily: 9,365 and 2,242 added to the difference between 255 and half of a number is 11,784. What is the number? Answered by Haley Ess. 





An equation with fractions 
20070403 

From deanna: x x
 +  =8
9 3
need help with showing work and answer Answered by Penny Nom. 





4x=1/5 
20070403 

From deanna: 4x=1/5 need help with showing work and answer Answered by Stephen La Rocque. 





Find the expression that represents it perimeter. 
20070401 

From Amy: A rectangle has sides of 3x4 and 7x+10. Find the expression that represents it perimeter. Answered by Steve La Rocque and Haley Ess. 





Solve for x and y 
20070327 

From anthony: solve y=4x and x+y=5 Answered by Sara Ulmer. 





Examples of algebra used in life 
20070321 

From Arianna: i need to find about 5 different examples of algebra used in life, and im not sure where to start. does anyone have any suggestions as to topics that i should choose for my project?
thank you so much for all of your input.
Arianna Leigh Answered by Penny Nom. 





18x  5 = 3(6x  2) 
20070319 

From Lordyne: How do I work this math problem? 18x  5 = 3(6x  2) Answered by Pam Fowler and Penny Nom. 





Algebra 
20070213 

From B.Wilson: The teacher has asked to solve the following, but I have never seen this before: 6x/2 = 4x/5 Answered by Haley Ess. 





Dividing money unequally 
20070206 

From Linda: I have a total of $13,826.48. It is to be divided by 15 kids  2 of the kids only get half of what the other 13 do  how much do the 13 get and how much does the 2 get? Thanks Answered by Haley Ess and Steve La Rocque. 





Nickels, dimes and quarters 
20070205 

From Avinash: Mary has 48 coins made up of nickels, dimes and quarters with a total value of $5.10. She has 4 more dimes than nickels and quarters combined. How many coins of each kind does she have? Use matrix to solve the system Answered by Stephen La Rocque. 





An algebra exercise 
20070124 

From Clara: Given x + 2y = 2 and x  2y = 18, find: a) x^2  4y^2 b) x^2 + 4y^2 Answered by Stephen La Rocque and Penny Nom. 





p=2l+2w find l 
20070123 

From Jadesola: p=2l+2w find l Answered by Stephen La Rocque and Penny Nom. 





How do you write the equation y= 4x2 in ax+by=c form? 
20070117 

From Evan: How do you write the equation y= 4x2 in ax+by=c form? Answered by Penny Nom. 





y = 5 x  3 
20070110 

From Richard: Question is the function y = 5 x  3 for the given value of x 7 , 1 or 4 Answered by Stephen La Rocque and Penny Nom. 





Products with symbols 
20070109 

From Jennifer: Find the product of each (8x)(4) (3x)(5y)(7z) (8x^3y)5X^2) (6a)(3a)(b^2) Answered by Penny Nom. 





Tiles arranged in rows 
20070102 

From Ann: Some tiles are arranged in rows so that the number of tiles in each row is 8 more than the number of rows. The same number of tiles can be arranged in 3 more rows than the first pattern with 16 tiles in each row. Find the total number of tiles. Answered by Stephen La Rocque. 





6/x2y  15/x+y = 0.5 
20061221 

From Emeka: 6/x2y  15/x+y = 0.5 Answered by Stephen La Rocque. 





How many M&Ms are in a container? 
20061101 

From Jill: How do we algebraically figure out how many M&Ms are in a container? Answered by Stephen La Rocque and Penny Nom. 





How do you write a variable expression 
20061011 

From Josh: How do you write a variable expression for the following:
The amount of money Waldo has if he has $10 more than Joe and
How much weight Kirk can lift if he lifts 30 lbs more than his brother. Answered by Stephen La Rocque. 





30+7(x1)=3(2x+7) 
20060929 

From Art: 30+7(x1)=3(2x+7)
I know with the distributive law I multiply 7 by x and 7 by 1 and the same thing to the right, only 3 by 2 and 7 than I am lost? Answered by Penny Nom. 





How many items must the company produce to begin to make a profit? 
20060924 

From Devon: The profit a manufacturing company makes can be found using the formula
P=120n  n^2  2200
How many items must the company produce to begin to make a profit? Answered by Stephen La Rocque. 





What was the total cost of the dinners he served 
20060910 

From Connie: Walter is a waiter at the town diner. He earns a daily wage of $100 plus tips that equal to .15 of the total cost of the dinners he serves. What was the total cost of the dinners he served if he earned $170 on Tuesday? Answered by Stephen La Rocque. 





How much did I spend on the first trip? 
20060910 

From Alexander: I have $600 to spend.
I take 10 shopping trips.
Each trip I spend $10 more than the last trip.
How much did I spend on the first trip?
Answered by Stephen La Rocque. 





How many marbles are there? 
20060830 

From Cathey: Four children are playing with marbles. At the end of the day, one child has four less than half the marbles. The second child has six more than onefifth the marbles. The third child has one third of what the first child has and the fourth child has one less than the third child. How many marbles are there? Answered by Stephen La Rocque. 





How many total worker are in the factory? 
20060826 

From Sherine: One quarter of the workers at the factory are clerical, one fifth are technical, half are are administrative,and the remaining 25 are managerial.
How many total worker are in the factory? Answered by Penny Nom. 





A board is cut into two pieces... 
20060711 

From DeAnna: A 102" board is cut into 2 pieces. One piece is two times the length of the other. Find the lengths of the two pieces. Answered by Stephen La Rocque. 





Two algebra questions 
20060702 

From Majeedah:
I'm upgrading thru correspondence and haven't been in school for a long while, so I have no class or teacher to explain the basics to me.
I have a couple of questions:
The problem is this:

f(x) = x^{2}  2, Find the expression.
Q f(x)
A x^{2}  2
Why is the answer not x^{2}  2?

A relation f, is given by f(x) = x  2/x. Find the expression.
Q 2/f(3)
A 6
How do you get the answer.
Answered by Stephen La Rocque. 





simplify 7x + 4y + 2x  6y 
20060621 

From Alan: simplify 7x + 4y + 2x  6y Answered by Paul Betts. 





The hardest algebra question you know 
20060608 

From Steven: could you send me the hardest algebra question you know and the work with it , i want to test a tutor. he a friend. Answered by Stephen La Rocque. 





Solving an equation without using algebra 
20060501 

From Kenneth: How can the following be solved without using algebra?
10 times some number is 3 times the same number plus 14.
Answered by Paul Betts. 





Finding the supplementary angles 
20060422 

From Kendra: Angles ABC and DBA are supplementary. If m Answered by Stephen La Rocque. 





Finding c in 4x=10cy 
20060419 

From Jennifer: A solution of the equation 4x=10cy is (5,2). What is the value of c? Answered by Stephen La Rocque. 





x7=20 and 2x+5=17 
20060404 

From Janette: I'm trying to help out my daughter, it has been much too long since I've been in school. The question is x7=20 and the other question is 2x+5=17. What are the formulas? Answered by Penny Nom. 





what is 9x3h for h = 2 
20060325 

From Dillon: what is 9x3h for h = 2 just don't get it. Answered by Penny Nom. 





Two squares 
20060325 

From Debbie: A small square is constructed. Then a new square is made by increasing each side by 2 meters. The perimeter of the new square is 3 meters shorter than 5 times the length of one side of the original square. Find the dimension of the original square Answered by Stephen La Rocque. 





The kangaroo high school band 
20060312 

From Cristy: Two hundred students joined the kangaroo high school band. Based on statistics from previous years, 1/3 of the students will drop out. of the remaining members, only 6% will qualify for the state band. How many of the original members can be expected to qualify for the state band? Answered by Stephen La Rocque. 





How many students and how many cookies are there? 
20060310 

From Stephanie: A group of students is trying to evenly divide the cookies remaining from a bake sale. If each student takes three cookies, there are five cookies left. If each student takes four cookies, they are two cookies short. How many students and how many cookies are there? Answered by Penny Nom. 





25+36+12=52+m, m= 
20060302 

From Jenny: 25+36+12=52+m, m= Answered by Stephen La Rocque. 





Separate 35 into two parts such that 4 times the larger is 4 less than five times the smaller 
20060301 

From Barbara: Separate 35 into two parts such that 4 times the larger is 4 less than five times the smaller Answered by Stephen La Rocque. 





8  5r / 6 = 3 
20060215 

From Scott: I was trying to help my daughter with the following problem:
8  5r / 6 = 3
Can you give me a quick refresher.
Answered by Stephen La Rocque. 





How long and how wide is the table? 
20060202 

From A student: the perimeter of a table is 24 feet. the table is twice as long as it is wide. how long and how wide is the table? Answered by Penny Nom. 





The sum of two numbers is 21. 
20060131 

From Dan: The sum of two numbers is 21. One number is three less than the other. Find the numbers Answered by Penny Nom. 





The three angles in a triangle 
20060123 

From A student: the measure of the 2nd angle in a triangle is 4 more than the measure of the 1st angle. the measure of the 3rd angle is eight more than twice the measure of the 1st angle. find the measure of each angle. Answered by Penny Nom. 





y  y1 = m(x  x1) 
20060108 

From Greg: How do you change 2x + 3y = 7 into y  y1 = m(xx1)?
Answered by Penny Nom. 





Why do we bother learning prealgebra and algebra 1? 
20051223 

From Priya: My students always ask "Why do we bother learning prealgebra and algebra 1?" and I haven't found an answer to satisfy them yet. Can you help me? My students are from grade 9 to 11. I have tried giving them real life examples in each topic but it just feels like they are not satisfied!!! Answered by Penny Nom. 





A rectangle has a length that is 7cm more than twice the width 
20051221 

From Stephanie: A rectangle has a length that is 7cm more than twice the width. The area of the rectangle is 60cm squared. Find the dimensions of the rectangle. Answered by Penny Nom. 





Skeeball 
20051221 

From Jenny: Kira and Dajuan decided to have a Skeeball contest. They each played one game to see who would get the highest score. A description of their contest follows: Answered by Denis Hanson. 





If 7 times a number is decreased by 8 ... 
20051217 

From Joyce: If 7 times a number is decreased by 8, the result is the same as when 3 times the number is increased by 6. Find the number. Answered by Penny Nom. 





Pat invested a total of $3000 dollars 
20051214 

From Duane: Pat invested a total of $3000 dollars. part of the money yields 10 percent interest per year and the rest yields 8 percent interest per year if the total yearly interest is $256 how much did pat invest at 10 per cent and how much at 8 percent. Answered by Penny Nom. 





2/n +4 = 10 4/3n 
20051211 

From Jennifer:
2/n +4 = 10 4/3n
5(x3/4) = x+1
Answered by Penny Nom. 





Solve for x 
20051204 

From Lisa: 5(x4)=3(23x) Answered by Penny Nom. 





An integer equation 
20051201 

From Henry: 3x = 2y + 7
I know the answer: x=9 and y=10, but what are the algebraic steps to solve the equation? Answered by Penny Nom. 





Solve for g 
20051109 

From Cassandra: solve each equation or formula for the variable specified
5g+h=g, for g Answered by Penny Nom. 





Coefficients, constants and like terms 
20051005 

From Elizabeth: In the equation 8y+6ab+73ab what are the coefficients; the like terms and constants? Answered by Penny. 





2x/x^29  6/x^2+x12 
20050927 

From Emily Ann: 2x/x^{2}9  6/x^{2}+x12 Answered by Penny Nom. 





6x+7=8x13 
20050927 

From A student: show me how to do 6x+7=8x13 Answered by Penny Nom. 





14p  8 = 22 + 20p 
20050927 

From Tiffany: 14p  8 = 22 + 20p Answered by Penny Nom. 





x = (y^2  b^2)/2b 
20050904 

From Bob: while looking at x=(y^{2}b^{2})/2b on a table I was preparing for a graph, I saw that there is a point where x and y get closer to each other's value. By trial and error I tried to find the point where x=y. I saw a number which looked familiar and I realized it was the square root of 2. and so, if y=b(1+square root of 2) then x=b(1+square root of 2) also, or as x=y.
My question is: How can this result x=y when y=b(1+square root of 2) be algebraically derived from the equation x=(y^{2}b^{2})/2b without pre knowing it is so? Answered by Penny Nom. 





3A/4 +1=(2A1)/3 
20050821 

From Rachael:
I'm doing a practice test question and the answer I keep turning out is different from the answer on the answer sheet. I think I might be forgetting a step. The problem is:
3A/4 +1=(2A1)/3
The answer is 16. If anyone could explain the steps to me to getting the answer I would be grateful. Whenever I do it I get something completely different.
Answered by Penny Nom. 





Solve for x 
20050720 

From Ed: ^{(x1)}/_{3}  1 = ^{(x + 2)}/_{2} Answered by Penny. 





Explain why 3(x+2) = 3x+2 is incorrect 
20050328 

From Cynthia: An algebra student incorrectly used the distributive property and wrote 3(x+2) = 3x+2. How would you explain to him the correct result, without the use of the distributive law?
Explain why the square of the sum of two numbers is different from the sum of the squares of two numbers. Answered by Penny Nom. 





A product equals a sum 
20050327 

From Tor: Can you please help me with a general formula for the following system:
2+2=2*2
3+3/2=3*3/2
4+4/3=4*4/3
and how will you prove the formula?
Answered by Penny Nom. 





Multiplying two algebraic fractions 
20041031 

From A parent: Multiply:
x+2 x²4
 x 
x2 x²+x2 Answered by Harley Weston. 





The price of a book 
20040918 

From Dorly: If the number of toonies required to buy a book is nine more than the number of
fivedollar bills required to buy the same book, determine the cost of the book. Answered by Penny. 





Pizza for Jack? 
20040916 

From Grace: Jack is playing pool with Jim for $1 a game. He has only $2 and decides to play until he goes broke or has $5, at which point he will quit and go out for a pizza with Jim(Dutch treat). Jack knows from past experience that he beats Jim 60% of the time. What is the probability that Jack will get to eat pizza? Hints: Let A be the 6x6 matrix defined by A=[aij], where aij is the probability that Jack will have $(i1)after one game is he starts with $(j1). For example, a23  .40 since there is a 40% probability that Jack will end up with $1 after a game is he starts the game with $2 (If Jack wins 605 of the time, he must lose 40% of the time). Also, for example, a52 = 0 since there is no way jack can have $4 after one game if he had $1 at the beginning of the game. Since Jack will stop if he goes broke or accumulates $5, a11 and a66 are both 1.
Let x0 = [0 0 1 0 0 0 ] transposed, which we interpret as saying that initially Jack has $2 with a probability 1. Then Ax0 will represent the porbability of each amount of money, $0$5, after one game. What is the probability that Jack will be able to eat pizza by computing Akx0 for large k and finding a limiting value. Answered by Penny Nom. 





Three word problems 
20040912 

From Adrian: 1. Increasing area
of a field: Julia's soybean field is 3m longer than it is wide. To
increase her production, she plans to increase her to increase both the
length and width by 2m. If the new field is 46m2(2nd power) larger
than the old field, then what are the dimensions of the old field?
2. Width of a Football Field: If the perimeter of a football
field in the NFL including the end zones is 1040 ft and the field is
120 yd long, then what is the width of the field in feet?
3. Fencing dog pens Clint is constructing two adjacent rectangular
dog pens. Each pen will be three times as long as it is wide, and the
pens will share a common long side. If Clint has 65 ft of fencing, what
are the dimensions of each pen? Answered by Penny Nom. 





(2x+5y6) + (3x4y+12) 
20040904 

From GG: I am a grade 9 student and i do not understand a question. Plz help!
OK here it is........ (2x+5y6) + (3x4y+12) Answered by Penny Nom. 





Simplify 
20040627 

From Tiff: Simplify:
3x (x2 + 2)
(x + 2) (x + 3) Answered by Penny Nom. 





Volume of a box 
20040523 

From A student: The area of the top of a closed rectangular box is 252cm2, the area of the front of the box is 105cm2, and the surface of the box is 834in2 (or 5380.64cm2). What is the volume of the box? Answered by Penny Nom. 





Subtracting fractions 
20040511 

From Filipe: Question:
_5_  __7__
6ab 8a Answered by Penny Nom. 





Area and perimeter 
20040312 

From Sandy: The rectange has an area of M square units and a perimeter of 2M units. What is the value of x?
The length of the rectange is 3, while the width of the rectange is x1. Answered by Penny Nom. 





Three numbers are added in pairs 
20040212 

From Jane: When three numbers are added in pairs, the sums of the pairs are 22, 39, and 45. What are the three numbers? Answered by Penny Nom. 





Difference of squares 
20031124 

From Susie:
Factor assuming that n is a positive #
Problem: (I will give it to you in words beacuse I don't know how to do exponents on the computer.)
Fortyfive r to the 2n power minus five s to the 4n power.
I was hoping you could walk me through it not just give me the answer.
Answered by Penny Nom. 





4(r2) = r(2+8) 
20031120 

From Angela: I not going to give you the problem that I have, but a problem like it.
4(r2) = r(2+8)
I get mix up trying to solve a problem like this could you help me. So that I will be able to handle the ones on my homework. Answered by Penny Nom. 





Solve for Q 
20031103 

From Anwaar:
The problem is: QT  X ________ + H = HT QS Answered by Peny Nom. 





Solve for x 
20031027 

From Lonnie: i need help with solving equations and formulas such as 3x+b=6x, for x. I do not understand how you find x. Answered by Penny Nom. 





Domain of a function 
20031014 

From Karim: Find the Domain of the Function H(x) = Log3 (4x + 7)10 H(x) = log base 3 times 4X plus 7 minus 10 i am having problem solving these kinds of problems. Answered by Penny Nom. 





5x  y 
20031011 

From Candace: math problem 5xy for x=12 and y=14 do you mulitilpy 5x12 and than the answer from 14 which gives you 46? is this right Answered by Penny Nom. 





Area of a rectangular room 
20030911 

From Kelly: The area of a rectangular room is 238 square feet. The width is 3 feet less than the length. What are the dimensions? Answered by Penny Nom. 





The quadratic formula 
20030831 

From Alex: I am using Houghton Mifflin's Precalculus with Limits book, 2nd edition. However, the first chapter encompasses Algebra review, and I am stuck on a problem. All that's required is to solve the following and verify using a calculator: 3y2+6y+2=0 I have solved the problem using the quadratic formula, but from what I remember, the quadratic formula is used in the case of equations following the AX2+BX+C=0 pattern. As the problem I am attempting uses a yvariable, can I still use the quadratic formula? Since I am not sure what route to take in solving this problem, I am hoping you can assist me. Answered by Harley Weston. 





The domain of 1/g(x)  5 
20030703 

From Barbara: If the range of g(x) is ( neg. infinity,4] and the domain of g(x) is ( neg. infinity, infinity), how do I find the domain of 1/g(x)  5? Answered by Penny Nom. 





ABCD*4 = DCBA 
20030507 

From Dee:
In the following problem, if the letters A, B, C and D represent some number, what numbers would they represent so that: ABCD*4 = DCBA Answered by Penny Nom. 





Two intersecting graphs 
20030423 

From Patty:
a) graph the equation x^{2}  y  4 = 0
x^{2} + y^{2} = 9 on the same set of coordinate axes. I did not have a problem with this. The problem is part (b) of the question ask: Find all solutions of the system in part (a) algebraically. Express answers in decimal form, accurate to two decimal places. Answered by Penny Nom. 





The substitution method 
20030414 

From Patty:
I need help with the following: 5x  4y = 13 2y + 3x = 1 Answered by Penny Nom. 





12*nC2 = n! 
20030330 

From A tutor: Solve for "N"
12*nC2=N! Answered by Walter Whiteley. 





Two algebra problems 
20030318 

From Kayla: 1st question If a+b divided by a equals 6 and b+c divided by c equals 9, compute the numerical value of a divided by c. ( Your answer will be mumbers only, no variables.)
2nd question Three adjacent faces of a box (a rectangular prism) have areas of 7, 14, and 18 square inches. Find the volume of the box. (Hint: Choose variables to represent the three sides of the box and then figure out the problem.) Answered by Peny Nom. 





Monomials 
20030311 

From Roxy: Explain why (x+y)z is not equal to xz+yz? P.S. Z is an exponent Answered by Penny Nom. 





Sasha's candies 
20030218 

From Pat: Ticktactoe
Sasha and Trudy are playing ticktactoe. Sasha agrees to give trudy two pieces of candy for each game Sasha loses, and Trudy agrees to give Sasha three pieces of candy for each game that Trudy loses. After playing thirty games, Sasha has the amount of candy that he started with. If no ties occurred, how many games did Sasha win? Answered by Paul Betts. 





Factoring a trinomial 
20030126 

From A student: how do you factor: Xsquared + 8x + 12 Answered by Penny Nom. 





Two numbers have a ratio of 5:3 
20030101 

From Patricia: Two numbers have a ratio of 5:3. The larger number is 36 more than half the difference of the two numbers. What are the two numbers? Answered by Penny Nom. 





Find a, b and c 
20021210 

From Sameer: Question:
a+b+c=180 b=a+(120/25) c=b(13010)/6 a=? b=? c=? Answered by Penny Nom. 





[x*(x+2)] + 1 = (x+1)(x+1) 
20021127 

From Melissa: While teaching the multiplication table to my daughter I noticed an interesting pattern. It goes something like ...Take a whole number ...add two to it ...multiply the two numbers together ...add one to the resulting number ...it will now be equal to the original number plus one, squared. Answered by Claude Tardif. 





The substitution method 
20021115 

From A student: Solve by using the substitution method. x = 3y  1 x + 2y = 9 Answered by Penny Nom. 





Algebra 
20021113 

From Carol: I am a confused parent trying to help my dau hgter solve some math problems and I need help. 3[x4]=27 Answered by Penny Nom. 





(93+n)+158=93+(28+158) 
20021110 

From Parents: (93+n)+158=93+(28+158) Answered by Penny Nom. 





G = 3H  5 
20021107 

From Kash: G=3H5, for H solve for the given variable Answered by Penny Nom. 





18m11+ 7 
20021106 

From Sophia: what is 18m11+ 7 (m = to 12)? Answered by Penny Nom. 





Mrs. Klein has been losing 1 pound a week for the last year 
20021030 

From Brett: On her diet, Mrs. Klein has been losing 1 pound a week for the last year. Her husband weighs 110 pounds more than she does now. If his weight is twice what her weight was 6 weeks ago, how much does mrs. Klein weigh now? Answered by Penny Nom. 





Jimmy's hits 
20021027 

From Patty: One seventh of Jimmy's hits were doubles 12.5% of his hits were homeruns Jimmy had 82 singles He did not have any triples
How many hits did Jimmy have? (Be sure to include the equation that represents the number of hits) Answered by Penny Nom. 





How many trees were planted in March? 
20021020 

From Allison: The number of trees planted by the Alpine Nursery in April was 3 more than twice the number of trees planted in March. If 71 trees were planted in april, write and solve an equation to find how many trees were planted in March. Answered by Penny Nom. 





Simplify 
20021019 

From A student: well i need to simplify this problems out and i cant do it so here is one 3x^2+6x45  = 3x^2+21x+30 Answered by Penny Nom. 





Three algebra problems 
20021013 

From Veronica: Solve the following inequality: 5(xsqured4)/(xto the 5th(2x5)to the 3rd) < or equal 0 Solve the following equations for all roots square root of x+2=1+square root of 2x+3 what's ZERO FACTOR PROPERTY??? The hypotenuse of an isosceles right triangle is 7cm. long. Determine the lenghts of the other sides. Answered by Leeanne Boehm. 





$100 is split between four guys. 
20021003 

From Stephan: $100 is split between four guys. A,B, C, and D. How much money does if person get if B has four more dollars than A, C has 8 more dollars than B, and D has twice as much money as C? Answered by Penny Nom. 





Formulating equtions 
20020914 

From Theresa: Hello. In math class we have to formulate equations for certin questions for extra credit. We are allowed to ask anyone and anyone can do it for us and explain it to us. Could you please do that? Here are the questions  Jordan has 3 times as much money as Reva. Together they have $44. How much money does each have?
 The Tigers played 48 games. They won twice as many as they lost. How many did they win?
 There are 900 students in Sewickley Academy. There are 20 more girls than boys. How many girls are there?
 A board 400 cm long is cut into 2 pieces. One piece is 66 cm longer than the other. Find the lenght of the shorter piece.
Answered by Penny Nom. 





Algebra 
20020908 

From Heather: This question is from an 8th grade Algebra classs. I am a parent asking for help to explain to my child. Q: d=25t^{2}. Answered by Leeanne Boehm. 





Express 5120 as a sum of consecutive numbers 
20020825 

From Todd: Express 5120 as a sum of more than 1 consecutive number. Answered by Leeanne Boehm. 





Variable expressions 
20020815 

From Brittany: I am just learning variable expressions. My homework is to write a variable expression for each word phrase;
example :
the number of minutes in s seconds the cost of x cartons of juice at $.75 each And etc.
I don't understand it Answered by Penny Nom. 





x + 5 + x, if x = 4 
20020723 

From Elisa: x + 5 + x, if x = 4 Answered by Leeanne Boehm. 





Jack and Jill wrote letters 
20020619 

From Angel: jack and jill each bought a stationary # of sheets of paper in each box were the same # of envelopes were the same jill wrote letters consisting of 3 pages jack wrote letters consisting of 1 page
when they wrote all letters jill had 50 envelopes left and jack had 50 sheets of paper left how many pieces of paper and how many envelopes? Answered by Leeanne Boehm. 





The cross country team 
20020612 

From Denae: In cross country, a team's score is the sum of the first five finishers on the team. The captain of the team finished 2nd in the meet. The next four finishers on the team placed in consecutive order. The team score was 40. in what places did the other members finish? Answered by Penny Nom. 





A polynomial 
20020605 

From Melissa: I'd like to know what is a polynomial( the definition and an explication)? And is 7x a polynomial? and why? Answered by Penny Nom. 





Onefourth of a number is added to onethird of the same number 
20020526 

From A student: When onefourth of a number is added to onethird of the same number, the result is 28. What is the number? Answered by Penny Nom. 





 n + 4  +  3  2n  = 16 
20020524 

From Randall: I don't seem to be able to solve this:  n + 4  +  3  2n  = 16 Answered by Penny Nom. 





Find the angle measures 
20020518 

From Amanda: In triangle ABC; the measure of angle A is 20 degrees more than twice the angle B. The measure of angle C Is five times angle B. Find the angle measures. Answered by Penny Nom. 





Some algebra 
20020511 

From A student:
/x  2 ^4/x = 8
/ = square root sign ^ = 4th root of x
also, dividing 2x3 3 6x __________ 4 + 2x
the 2x3 is 2x to the third Answered by Penny Nom. 





3 = 2x 
20020505 

From Timothy: My question is 3 = 2x How do I isolate the variable here? Answered by Penny Nom. 





Factor 12x^2  20x  8 
20020430 

From Crystal: Factor Completely: 12x^{2}  20x  8 Answered by Penny Nom. 





25m = 100 
20020422 

From Megan: If 25m = 100, Then m equals what number? Answered by Penny Nom. 





An augmented matrix 
20020420 

From A student: Hi my math teacher asked us to solve an augmented matrix. I am in twelfth grade and need help. The book we are working on is college algebra. Here it is a+2b+c=0 2a+5b+4c=1 ab9c=5 Answered by Penny Nom. 





Solving for x 
20020419 

From Susan: I'm having a little trouble solving these equations for x. I can't seem to separate x fully from the other numbers. Please help! Here are the problems: (2x1)/(x2)(x^{ 2}+3) = 0 and y/(x+1)=z/x Answered by Penny Nom. 





Two algebra problems 
20020414 

From Ashley: Question 1: For all values of a, let < a > be defined as < a > = 4a  4 . Which of the following equals < 6 >  < 5 >? A: < 2 > B: < 3 > C: < 4 > D: < 5 > E: < 6 > Question 2: If 5n + p = 3 and 2m  10n = 2, what is the value of m + p? Answered by Penny Nom. 





3/4n6=12 
20020407 

From Diane: I am in 6th grade advanced math and I just started Algebra. My teacher tries to explain it to me but I just can't get it. I am having difficulty understanding it. Please HELP!!! I will type a problem, if you could answer it and show your work so i can understand it that would be great. Please explain in simple terms. here is a couple problems I am having trouble with, PROBLEM #1 3/4n6=12 Answered by Penny Nom. 





If the matrix A is inverible and AB =AC, then B = C 
20020327 

From Vikki: i hope you can help i am soooo stuck here goes: a)
A= 0 1 B= 1 1 c= 2 5 0 2 3 4 3 4
A,B and c are matrices Evaluate AB and Ac (which I can do) then
b) I need to prove that if the matrix A is inverible and AB =AC, then B = C. Why does this not contradict what happened in part a)? Answered by Leeanne Boehm. 





Adding algebraic fractions 
20020320 

From Dolores: I get totally confused with this problem. I get confused with the getting the lowest terms. 4/x5 + 2/x 10/x^25x Answered by Penny Nom. 





Simplify this expression 
20020226 

From Francine: 2X power 5 Y power 3 times 18 X power 5 Y power 3 divided by X power 1/3 Y power 1/4.
I came up with 36  X 1/3 Y 1/4 The book says 36 x1/3 y1/4. I don't get it. Answered by Penny Nom. 





Adding algebraic fractions 
20020123 

From Francine:
Hello, I've come up with an answer for the following problem but it's not the same as the book's answer. However, the book has a lot of mistakes in it and I don't know if I'm doing it properly or not. Your help would be soooo appreciated. It's driving me crazy.The problem is:
2 + 3 + 4
 +  + 
(x1)^3 (x1)^2 (x1)
[(x1)^3 is (x1) to power of 3 etc.] Answered by Penny Nom. 





Algebra review questions 
20020114 

From A student:
 A wildebeast was observed racing a distance of 86.4m in 4.8 seconds. Find the speed of the wildebeast in m/s.
 8x  7  5x = 23
 7 z  3 (z + 2) = 26
Answered by Penny Nom. 





A simplification problem 
20020110 

From A Parent: FIND (A / B) . (C / D) where A = Y squared + 3 . Y cubed B = Y squared + 4 C = 2 . Y + Y squared D = Y + 4 Y squared + 3 Y cubed Answered by Penny Nom. 





Two algebra problems 
20011224 

From Cass: if the graph of a equation is 2x^{2}  y^{2} = 8 passes through point (6,k), find the positive value of k. if 5^{x2  2 x} = 1, find positive value of x Answered by Penny Nom. 





Composition of functions 
20011216 

From Paula:
 if f(x)= 3x1 and g(x)= 1/2x + 3 find fog(2)
 find the values of x for which tanx=0
Answered by Penny Nom. 





Algabra 
20011213 

From Stephanie: My name is Stephanie. My grade 7 class is doing some strange form of algebra which I've never done nor seen before. We are doing equations like these: 3y  6 + 7  4y = 6y  6. I don't really understand them and was wondering if you could help me do my homework and explain how to at the same time. It would be really great if you could!!!!! Thank you so much! Stephanie  9x  5  8 + x = ?
 5 + 6x  3y + x + 8y = ?
 x  3 + 5x + 6y + 8x  9= ?
Answered by Penny Nom. 





y = zx  x  c 
20011211 

From Andrew: Could you please help me work out the value of x where: y = zx  x  c Answered by Penny Nom. 





y= (3x+2)/(4x5) 
20011205 

From Courtney: y= (3x+2)/(4x5) solve for x Answered by Penny Nom. 





what number doubled plus 20 will give you 4/3 the original number 
20011115 

From Hank: what number doubled plus 20 will give you 4/3 the original number
2 x__ + 20 = 4/3 of the original number Answered by Penny Nom. 





(a+b) squared and a squared plus b squared 
20011114 

From Kristen:
(a+b)^{2} = a^{2} + b^{2} Is this true for all whole numbers, and why? Answered by Penny Nom. 





A cubic 
20011110 

From Louise: x^{3} + 9x^{2}  7x  63 Answered by Penny Nom. 





1 minus 5(y) equals negative 2 
20011110 

From Judy: 1 minus 5(y) equals negative 2 Answered by Penny Nom. 





A circle and triangle overlap 
20011109 

From Tara: A circle and triangle overlap as shown.the area of the circle is three times the area of the triangle.If the common region is removed,then the area of the rest of the circle would be 14 sq cm more than the area of the rest of the triangle.How many sq cm are in the area of the complete triangle. Answered by Penny Nom. 





8w15 = 3w10 
20011101 

From A student: 8w15=3w10, w =????? Answered by Paul Betts. 





m  8 
20011030 

From Danita: Can you please email me the answer to m 8 for m = 20 and how you got the answer Answered by Penny Nom. 





An algebraic fraction 
20011025 

From brandi: 4x  5 _____ =4 37x Answered by Penny Nom. 





Dimensions of a frame 
20011016 

From Rachel: A rectangular picture frame has a perimiter of 44.2 cm.The width of the frame is seven tenths of its length what are the dimensions of the frame? Answered by Penny Nom. 





Some algebra 
20011015 

From James: I cannot figure these out I was wondering if you could help me? I have no one to answer my questions.  (7x^{2} – 3yz)^{2} – (7x^{2} + 3yz)^{2}
 Use Pascal’s triangle to expand (2x – y)^{4}
 8x^{3} y  x^{3} y^{4}
 (m + 3n)^{2} – 144
 12x^{4} y – 16x^{3} y^{2} – 60x^{2} y^{3}
 p^{3} q^{2} – 9p^{3} + 27q^{2} – 243
Answered by Peny Nom. 





Simplify the expression 
20011008 

From Natalia: simplify expression 4(x7)+(5x)=10 Answered by Leeanne Boehm. 





Investing in a yacht 
20010926 

From Junior: Marvin and his four friends wish to invest in a yacht by sharing equally in the cost. As the date of sale approaches, Marvin realizes that if three more people join the partnership, each partner's share would decrease by $18,000. How much does the yacht cost? Answered by Penny Nom. 





Solve for h 
20010917 

From Kim: s=2lw+2wh+2hl solve for h Answered by Penny Nom. 





Multiplying binomials 
20010908 

From A student: (x+1)(x+2)=? (2x1)(x4)=0 please tell me this question!! Answered by Leeanne Boehm. 





Matrix reconstruction 
20010719 

From Guy: Is there a way to get the sums of rows, columns and diagonals of an n x n matrix to reconstruct the original matrix? Answered by Walter Whiteley and Patrick Maidorn. 





Simplifying algebraic expressions 
20010512 

From A student: How do you simplify algebra expressions? Answered by Penny Nom. 





Solving some equations 
20010416 

From Justin: Solve the following equations for x  x+7=10
x=
 x7=10
x=
 3x=7
x=
 x/3=10
x=
 .
 .
 .
 .
Answered by Penny Nom. 





Parabola problems 
20010410 

From Kathleen:
 Graph each function and state its domain and range. y = 3x^{2} + 4
 For each parabola find: i) the direction of opening
ii) the coordinates of the vertex iii) the yintercept iv) the xintercepts y = x^{2} + 3
 Find the equation of each parabola vertex at (0, 2) and passing through the point (3,7)
Answered by Harley Weston. 





(8 + 5)5 = (y + 4)4 
20010401 

From Kelley: (8 + 5)5 = (y + 4)4 What is the value of y? Answered by Penny Nom. 





Factoring 
20010322 

From Kaleena: Factor this equation: 5x^{7}10x^{5}+4x^{3}8x Answered by Harley Weston. 





Radicals 
20010318 

From Nikki: 3) squareroot of x^{2} + 10x + 25 4) sixthroot of (m + 4)^{6} 5) cuberoot of 64r^{6}w^{15} . . . . Answered by Penny Nom. 





Powers 
20010304 

From A student: Hey, can you show me how you do .. (2xy)to the 3rd power (x) to the 2nd power? Answered by Penny Nom. 





What is the value of n? 
20010303 

From Adam: When I add n to 7 and then divide my answer by 4,I get 5. What is the value of n? Answered by Penny Nom. 





Solve for the variable 
20010228 

From Ashley: I've got 2 questions. We (my dad and I) can not figure them out. please help me.  21 = 9  2 (4a + 2) and I am supposed to find out what the variable is.
 2/3 n + 3/8 n = 15/16 (those are fractions). Again, I need to find out what the variable is.
Answered by Penny Nom. 





Three sheep 
20010228 

From A student: A farm sold three sheep. the weight of the three sheep combine wae 152 lbs. The smallest sheep weighted 7 lbs less than the middle size sheep. The largest sheep weighted three times the smallest sheep. what is the weight of each sheep? Answered by Penny Nom. 





Difference of Squares 
20010222 

From BrunoPierre: I noticed the other day that if you substract two consecutive squared positive numbers, you end up with the same result as if you add up the two numbers. Ex. 5 and 6 (2 consecutive positive numbers) 5^{2} = 25 6^{2} = 36 36  25 = 11 (Substraction of the squared numbers) 5 + 6 = 11 (Sum of the numbers) A more algebric view: a^{2}  b^{2} = a + b where a and b are consecutive positive positive numbers. (b = a + 1) I wondered if this rule had a name, and who discovered it. Answered by Penny Nom. 





Difference of squares 
20010220 

From Janna: Hi! I was just wondering how you would factor x^{2}  9y^{2}. Answered by Harley Weston. 





g(g+5)=0 
20010220 

From Jenna: g(g + 5) = 0 Answered by Penny Nom. 





Dividing polynomials 
20010219 

From Janna: I have two questions involving dividing polynomials by polynomials. Here's the first one: Two factors of 12a^{4} 39a^{2} + 8a  8a^{3} + 12 are a  2 and 2a + 1. Find the other factors. The other question I'm stuck on is: When 10x^{3} + mx^{2}  x + 10 is divided by 5x3, the quotient is 2x^{2} + nx  2 and the remainder is 4. Find the values of m and n. Answered by Penny Nom. 





Adding functions 
20010219 

From Jackie: f(x) = x^{2} + 1; g(x) = x^{2}  1 find a) ((f+g) of h)) (x) b) ((fg) of h)) (x) c) ((f of h)  (g of h)) (x) Answered by Penny Nom. 





A quartic equation 
20010215 

From George: Let P(x) = x^{4} + ax^{3} + bx^{2} + cx + d. The graph of y = P(x) is symmetric with respect to the yaxis, has a relative max. at (0,1) and has an absolute min. at (q, 3) a) determine the values for a, b c, and d using these values, write an equation for P(x) b) find all possible values for q. Answered by Harley Weston. 





Linear equations 
20010213 

From Jamie: I have a question how do you do linear equation? Answered by Penny Nom. 





Rewrite as an addition problem and Simplify 
20010213 

From A student: On my homework sheet it says "Rewrite as an addition problem and Simplify" and the gives this problem "16  120 =" how do i do that problem? Answered by Penny Nom. 





L  R 
20010212 

From A student: If L = (ab)c and R=a ( bc), then LR = ??? Answered by Penny Nom. 





Chris' cards 
20010211 

From A student: Chris gave Jane x cards. He gave Bety one card more than he gave Jane and he gave Paul two cards fewer than he gave Betty. In terms of x, how many cards did Chris give Bety, Jane, and Paul together? Answered by Penny Nom. 





Some algebra 
20010123 

From Thomas: If a is 4 more than the quotient of b and 3, and if b=2, then what is the value of a? Answered by Penny Nom. 





A piecewise linear equation 
20001124 

From Jacky: There is a light bulb and it is given that the light bulb cost $0.75 and the cost of operating it is $0.0081 per hour. From the information give, I came up with the linear equation: Let c be total cost and Let h be hours used. Therefore: c = 0.0081h + 0.75 represents the total cost of the light bulb and the electricity. However, the second part of the question added the fact that the light bulb will only last for 800 hours. If the light bulb is replaced as soon as it burns out exactly after every 800 hours, how can I write an equation that represents that? Is it possible? What would it look like on the graph. Answered by Harley Weston. 





Integral solutions 
20001120 

From David: determine all pairs of integers (x,y) which satisfy the equation 6x^{2}  3xy  13x + 5y = 11 I got y= (6x^{2}13x+11)/(3x5) and i don't konw how to continue Answered by Claude Tardif. 





Solving an equation 
20001114 

From Heather: 4x3 = 3x+4 these kinds of problems i dont get but everything else in my math class i have got. i just dont understand it. Answered by Penny Nom. 





Square roots 
20001029 

From Pamela: HERE GOES(I WILL USE Q AS THE SYMBOL FOR SQUARE ROOT): 8(Q2)  5(Q2) + Q2 SECOND PROBELM IS (1 + Q2)^{2} LAST ONE 3/(2Q5) Answered by Claude Tardif. 





Mr. Edgecomb's math exam 
20000917 

From Rachel: 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. 





Trinomial 
20000906 

From Lea: I need to find the trinomial value of k which makes a perfect square. The problem is x^{2}  6x + k Answered by Penny Nom. 





A equation with a square root 
20000903 

From Lea: Please help with 2 plus the square root ( and under it has x plus 1) = 6 Thank you Answered by Penny Nom. 





Subtracting fractions 
20000826 

From Sarah Stanczyk: how is this problem solved?? 3/ x+1  5/x ( 3 divided by x +1 subtracted by 5 divided by x) Answered by Penny Nom. 





Two linear systems 
20000801 

From A student: please help me with this homework question. 5/x + 6/y= 19/6 3/x + 4/y =2 hint: let a = 1/x and b = 1/y substitute these expressions into the system to find a and b. Then find x and y. This is a question I answered wrong on a test: solve the given system for x, y, and z. Express your solutions in terms of a, b, and c. Answered by Penny Nom. 





LOG(LN(x)) = 1 
20000728 

From An algebra student: LET F(x)=LOG X AND G(x)= LN X. SOLVE (f *G)(x)= 1 SHOW COMPOSITION AND USE DEFINITION OF LOGS. Answered by Harley Weston. 





Completing a square 
20000710 

From Lexa Michaels: How do you complete a square? the textbook question is: x^{ 4} + 64 Answered by Penny Nom. 





Simplify 21+2[3z+5(3z+8)] 
20000702 

From Dennis Dyer: My daughter has a math problem that I can't help her with. The problem is 21+2[3z+5(3z+8)] I can get the answer 101 +36z but I can't show her the correct way to write it out. Would you please show the correct way to show her work... Answered by Penny Nom. 





Simplifing 
20000615 

From Angie Herbert: My daughter is having problems with her algebra homework. She is a year 7 pupil at high school in the UK. She has been given homework on simplifying formulae and she doesn't understand how to do them. Here is an example of one of the questions : 9s+7t+5c+5s3t can you help her to understand how to do these and perhaps me too. Answered by Penny Nom and Claude Tardif. 





Rectangles and algebra 
20000613 

From Kirstin: A rectangle's length is 4 more than twice its width. The area of the rectangle is 336m squared. What is its length? Answered by Paul Betts and Penny Nom. 





Two problems 
20000612 

From Sharon: If f(4)=0 and f(6)=6, which of the following could represent f (x)? A. 2/3x4 B. x+2 C. x4 D. 3/2x+6 E. 3x12 these are problems to study for a test so I need to know the answer and how it was solved! I have one more question If 180^{o} < theta < 270^{o} and tan theta = 4/3, then sin theta =? A. 5/4 B. 4/5 C. 3/5 D. 12/5 E. 3/5 Answered by Harley Weston. 





A conic in standard form 
20000518 

From Tara McConkey: Im havign trouble converting the following conic to standard form, i know that the conic is a hyperbola but that is all 16x^{2}9y^{2}160x18y+247=0 Answered by Harley Weston. 





Subtracting polynomials 
20000513 

From Teresa: I am suppose to subtract the lower polynomial from the one above it. 3a+11b+2f 3a 6b+8f ________________ Answered by Penny Nom. 





4x  [2x (3x  2)] = 13 
20000513 

From Teresa: I need to find the following equation. 4x  [2x (3x  2)] = 13 Answered by Penny Nom. 





Trig functions 
20000509 

From Melissa: Find all solutions in the interval (0,2pi) 2cos^{2}x3cosx4=0 Answered by Paul Betts and Harley Weston. 





Uniting algebra and geometry 
20000416 

From Beth: Who is the mathmatician that united algebra and geometry??? Answered by Claude Tardif. 





Finding a Quadratic Equation given the roots 
20000416 

From A secondary student: How do I find the equation for the quadratic with roots at 2i and its complex conjugate? Answered by Harley Weston. 





Increasing the weight 
20000323 

From Lee Millard: A weight of dimension a, b is to have its weight increased by w% by bolting plates of the same material along the top and one side (but not at both ends). The top plate and side plate have the thickness, x. Find the thickness of the plates for a given weight increase of w%. Answered by Penny Nom. 





A system of equations in five unknowns 
20000320 

From Will: I have been having some problem with the following question for some time. I would appreciate any help on solving the problem or a solution. Q: Assume that a system of equations in the unknowns x1, x2, x3, x4 and x5 when converted to row echelon form gives . . . Answered by Penny Nom. 





Simultaneous equations 
20000311 

From Laura Molck: My name is Laura Molck and I am in Year 11 in Australia. Please help me with the following. I know that they are all simultaneous equations which I can do but I have trouble with the formulae to work the equations. Can you please help!! 1. A tent manufacturer produces 2 models, Outback and Bushwalker. From earlier sales records it is known that 20% more of the Outback model is sold than the Bushwalker. A profit of $200 is made on each Outback sold, but $350 is made on each Bushwalker. If during the next year a profit of $177,000 is planned how many of each model must be sold? Answered by Penny Nom. 





Some equations 
20000308 

From Maria: Hi, could you help me with these questions: Find x & solve  72x/3=9
 4x+3/5=2
 62x=14
 1/7x=4/3+1/6
Answered by Penny Nom. 





Fractions in algebra 
20000227 

From Leslie: Question:
add (4x+1)/(x8) + (3x+2)/(x+4) + (49x+4)/(x^24x32) and
solve x  6/(x3) = 2x(x3) Answered by Penny Nom. 





Irrational algebraic functions 
20000221 

From Bucky Cadena: Here is the multipart problem: Given f(x) = x3* squareroot of x + 4 What does the f(x) intercept equal Find the two values for which f(x) = 5 Find the one value for which f(x) = 3 Answered by Harley Weston. 





Can't make an equation! 
20000130 

From Maggie Clarke: An estate is to be distributed among the wife, 3 children and 2 grandchildren. The children will each receive 2x as much as each grandchild, and the wife will receive 4x as much as each child. If the estate amounted to $115,000, how much will each person receive? Answered by Penny Nom. 





Quadratics 
20000127 

From Lori:
Hi my name is Lori. I'm a student, in the 11th grade.I have a problem in quadratic functions. I don't know how to get the numbers into the problem and then how to do the problem. here is one problem the rest are sort of similar to it... y=2x squared. If I were to find out how to get the (x,y) answers then I could graph it but as I said I can't find the numbers to go into the problem. Also in the equation g: x arrow to y = x + 4..... how would you know weather it is or isn't a quadratic equation???? Answered by Penny Nom. 





Quadratic 
20000126 

From Karen Johnson: What is the reasoning behind the title quadratic equation? Answered by Penny Nom. 





Complex Roots 
20000124 

From Jess Rutherford: How do I find the value of k when 5x^{2} + k = 3x and has complex roots ? Answered by Penny Nom. 





Word problem 
20000124 

From April:
Ok, my algerbra teacher gave me this problem and by just looking at it I can tell what the answer is but he wants me to show how I got the answer in an equation form. The tempature at 7am on a cold day was 4 degrees Celcius. At 3pm the tempature was 1 degree Celcius. Write and solve an equation to find out how many degrees the tempature rose between 7am and and 3pm. Answered by Penny Nom. 





Domain of a function 
20000119 

From Stacey Hutchison:
What is the domain of: f(x) = 1/(x + 4) Answered by Patrick Maidorn. 





Algebra 
20000118 

From Candis: I want to know what exactly is Algebra? Not how to do it, or methods. Just what is it? Answered by Allen Herman. 





Ax + By = C 
20000118 

From Fatiha Khanboubi: I was wondering if you could please explain to me how I would write the equation of line through the given points [(4,1), (6,3)] in Ax+By=C form. Answered by Harley Weston. 





Solving an equation 
20000117 

From Shelley's Mom:
My daughter has an assignment in math that includes this equation: 6b+5= 10 I've tried to help her with a scale. We've figured that you subtract 5 from each equation so its not 6b = 15. Is this correct and can you help us figure out the next step? Answered by Penny Nom. 





Algebra 
20000113 

From Tim Merrill: "please help me out with these four algebra questions"  Rewrite the following using positive exponents only.
xy ^{3}  x ^{2}  Find the following quotients.
9a^{3}+3a^{2}+6a  3a . . . Answered by Penny Nom. 





Parallel lines 
20000112 

From Lori: Find an equation of the line parallel to the given line containing the given point. x + y = 2; (1,2) We know parallel line have the same slope and we know the answer y = x + 3. Answered by Penny Nom. 





Three algebra problems 
19991228 

From Stephanie Branton:
 If P represents the product of all prime numbers less than 1000, what is the value of the unit's digit of P?
 Do any real numbers a and b exist such that: ln(a+b)=ln a + ln b? if so, what are they?
 Define a function by: f(x)=1/1x where x is not equal to 0,1. what is f(f(f(a)))?
Answered by Harley Weston. 





Two algebra problems 
19991217 

From Michael Standfest: If x+4 is a factor of 2x^{4}+kx^{3}3kx^{2}+6x40, find k and Prove that n^{2}n is even for all n, using the proof of contradiction Answered by Penny Nom. 





Solve for v 
19991209 

From Beth: 13/4(v+2)=5 Answered by Penny Nom. 





Two conics 
19991207 

From Quinn: I know the formula to find the axis of symmetry of a conic section (I'm not sure what shape  circle for the first one??) is (D/2A,E/2C) but I obviously don't get how to calculate it, because when I check the answer it's wrong, but I'm so close!! For the following equations my teacher suggested to "divide the x term coefficient, D, by the x squared term coefficient before...do the same for y." 2x^{2}+2y^{2}8x+12y+16=0 . . . Answered by Penny Nom. 





The sixth game 
19991116 

From Stephanie Sprunger: Janice scored 18,21,27,16,and 19 points in five basketball games. How many points must she score in the next game to raise her average to 22 points per game? Answered by Penny Nom. 





Multiple step problems 
19991109 

From Maria Rainsdon: I don't understand how to solve these multiple step problems. I wasn't there when my teacher explained it and I am really lost. Here is one of the probs I don't understand: 3m+6=m6. Answered by Penny Nom. 





Transforming a triangle 
19991102 

From Wilder Maldonado: The height, H, of a triangle is increased by a lenth M, How much must be subtracted from the corresponding base,b, so that the area of the new triangle is onehalf that of the original triangle. Answered by Penny Nom. 





Equations with fractions 
19991010 

From Lori: I'm a secondary student. How would you figure out a problem such as t2/t =14/3t  1/3. The book gave one example but it is really easy. The work YOU have to do is totally different. You don't have to tell me the answer just how to do such problems like these. Answered by Penny Nom. 





Common factors 
19991006 

From Tommygirl98: Ok I have a question about common factoring I'm not to sure if you could help me but it's worth a try here it goes. Ok I have a test on Friday and i'm having trouble understanding how to do it here's an example, Factor, 10 + 2b how do you do it and what do they mean by factor? Answered by Penny Nom. 





8*(5a)=15 
19990922 

From Shelby: 8*(5a)=15 i cannot get this question!! please help me!! Answered by Harley Weston. 





Bob and his dad 
19990914 

From Yvette: "Bobs dad is 27 yrs older then Bob. The sum of their ages 5 yrs ago was 45 yrs. How old is Bob now?" Answered by Penny Nom. 





The sum of the cubes is the square of the sum 
19990825 

From Bernard Yuen: How to prove 1^{3} + 2^{3} + 3^{3} + 4^{3} + ... n^{3} is equal to (1+2+3+...n)^{2}? (for n is positive integer) Answered by Harley Weston. 





The three cousins 
19990601 

From Irena: I have three cousins on my dad's side. The product of their ages is 84. Next year the youngest will be 1/4 the age of the middle cousin. In 2 years from now, the oldest will be twice the current age of the middle. What is the age of my oldest cousin? Answered by Harley Weston. 





A problem with powers 
19990601 

From Bill: solve for the variable: 5^{x} = 25^{x+6} Answered by Penny Nom. 





Graphing a linear equation 
19990527 

From Dylan Bradley: Im in Grade ten and am doing linear equations, I cann't figure out how to make a chart for questions like y = 2x + 3 Answered by Penny Nom. 





Introductory Algebra 
19990519 

From Pat: (2 + sq. root of 3) x (2  sq. root of 3) = 1 Please show me the work. Answered by Harley Weston. 





A 
19990502 

From Leah: a=b a^2=ab a^2+b^2=abb^2 (ab)(a+b)=b(ab) a+b=b b 2=1 why is this proof wrong? Answered by Penny Nom. 





y=mx+b 
19990415 

From Selena Royle: When solving a problem on slopes,and in the formula y=mx+b what do the M and B stand for? Why M and B? Answered by Penny Nom. 





Extra point questions 
19990415 

From W Troy Council: My teacher has given me 5 extra point questions. I have figured out two, but i need a little assistance with 3 others, could you help me with:  A stablehand agreed to work for 1 year. At the end of that time, she was to receive $240 and one horse. After 7 months she quit the job, but still received the horse and $100. What was the value of the horse?
 If the roots of x^{2} + bx + c are pi and square root 2, then find "b" and "c."
 ...
Answered by Penny Nom. 





Grade 10 math 
19990408 

From Ron: the type of question i'm having trouble with is 5(2x1)=3(x4) Answered by Penny Nom. 





Factoring 
19990308 

From L. Sivad: Question: m^{2}+6m+9n^{2} Answered by Penny Nom. 





An airplane problem 
19990308 

From B.M.R.: A plane left New York and headed East to its destination 3600 miles away across the Atlantic. On the way back its speed was boosted by a 50 mph tail wind and it arrived an hour early. What was its normal speed? Answered by Jack LeSage. 





Enlarging a Rink 
19990306 

From Jennifer Rudd: I've been having difficulty with this one question involving area. The level of the question is Grade 11/12. Here it is! A rink is 40 m long by 20 m wide. There are plans to enlarge it by 700m^{2} by adding a strip at one end and a strip of the same width along one side. Find the width of the strip. (Let the width of the strip by x meters.) Answered by Jack LeSage. 





Algebra 
19981125 

From Casey: yeah my son brought home a math worksheet and he was wondering and me too if u could help him and me out . he has problems like this 4n+9=7n+2= ??? and he has to show work so if u could help us out that would be great Answered by Jack LeSage. 





Adding Fractions 
19981003 

From Pam Bailey: Can you help me simplfy this? (1/2a + 1/3b)  (1/4a  1/5b) + (1/6a  1/7) thanx Answered by Harley Weston. 





Grade 9 Algebra 
19980607 

From Tarah Kostenko: I am a grade 9 student and I cannot figure out how to solve these two similar problems. can you please help? 3(y1/2)=1/2 also 2/3(x + 1)=6 I don't come up with the same answers as the book and I can't figure out what I'm doing wrong. Thank you,
Answered by Harley Weston. 





Espaces vectoriels 
20020818 

From Bacar: Comment montrer que trois (ou plus que trois) sous espaces vectoriels sont en somme directe. Answered by Claude Tardif. 





Les equations 
19991209 

From Enciso Alberto: j'ai les equations suivantes: X1=Rs + A1/(B+W^2) X2=Rs + A2/(B+W^2) X3=Rd + A3/(B+W^2) X4=Rd + A4/(B+W^2) X5=Rg + A5/(B+W^2) X6=Rg + A6/(B+W^2) dont les coefficients Ai (i=1,2,..) et B sont constants (mais on ne conais pas leur valeur) et Rs, Rd, et Rg sont inconnues. Nous pouvons constater que la dependence de ces differentes expessions en fonction de W^2 est identique. Le tracé de l'une de ces expressions en fonction d'une autre est donc une driote. . . . Answered by Claude Tardif. 

