Questions on Word Problems: Miscellaneous Word Problems answered by real tutors!

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Question 120876: I have worked this problem and I'm not sure if I have done it correctly. Could someone please solve, so I can compare my work?

Solve by using either the substitution method or the addition-or-subtraction method.
5a over 6 - b over 3 = 6
a + 2b = 0
Click here to see answer by stanbon(57361)

Question 120871: Find the counterexample to show that the following statement is incorrect: "The sum of any two odd numbers is divisible by 4"
Click here to see answer by Edwin McCravy(8909)

Question 120908: Suppose you have a Venn diagram showing three sets. Call the sets A, B, and C. How many regions of the Venn diagram correspond to elements that are part of set A? Why so many?

Click here to see answer by Edwin McCravy(8909)

Question 120958:
Find an equation in slope-intercept form passing through the points (7.2,3.8) and (9.1,9.1).
Click here to see answer by checkley71(8403)

Question 120954: A furniture company sells 3000 chairs per week at a price of $150 apiece; when the price is lowered to $125, the company sells 3500 chairs per week. If the company wishes to liquidate its entire remaining inventory of 4250 chairs in the next week, what price should they seek?
Click here to see answer by ankor@dixie-net.com(15656)

Question 121009: How do you solve this problem? is there a formula A student has completed 32 credits with a GPA of 2.65 how many credits must he now complete with a grade of 3.5 in order to raise his GPA to 3.0 or higher it must be a whole number of credits.
This is what I have but I don't know if it is even set up correctly to answer the question
let c= additional credits GPA/credits 2.65 + 3.5/32c+c = 3.00
Click here to see answer by ankor@dixie-net.com(15656)

Question 121088: I am horrible at word problems and could really use some help. My problem reads: Sally bought three chocolate bars and a pack of gum and paid $1.75. Jake bought two chocolate bars and four packs of gum and paid $2.00. Find the cost of a chocolate bar and the cost of a pack of gum. Thanks!
Click here to see answer by nabla(475)

Question 120494: The function S=5000 +200x and D=9500-100x express the supply S and the demand D, respectively, for a popular compact disc brand as a function of its price x (in dollars).
a) Graph the functions on the same coordinate system.
b) What happens to the supply as the price increase?
c) What happens to the demand as the price increases?
d) The price at which supply and demand are equal is caled the equilibrium price. What is the equilibrium price?
Click here to see answer by nabla(475)

Question 121095: Jill and Jack play basketball. In the first game, Jill had a foul shot average of 0.60 (she made 12 of 20 shots), and Jack had a foul shot average of 0.50 ( he made 5 of 10 shots). In the second game Jill had a foul shot average of 0.80 (she made 8 of 10 shots), and Jack had a foul shot average of 0.75 (he made 15 out of 20 shots). Now, who do you think has the better overall average? Compute the averages for both games based on 30 shots for each player.
Compare the results for the two individual games to the overall average and discuss how this is possible.
Click here to see answer by stanbon(57361)

Question 121117: Car rental agency A will rent a compact car for $35 per day and an additional charge of $0.24 per mile. Car rental agency B will charge only $0.16 per mile but charges $41 per day. If Adam wanted to rent a car for three days, how many miles would Adam have to drive to make car rental agency B a better bargain?
Click here to see answer by stanbon(57361)

Question 121069: 76. Darren and Douglas must paint the 792 foot fence that encircles their family home. Because Darren is older, he has agreed to paint 20% more than Douglas. How much of the fence will each boy paint?
Click here to see answer by checkley71(8403)

Question 121217: One day the temperature at 1 AM was 44 degrees F, and by 4 pm the temperature was 59 degrees F. What was the hourly rate of temperature change?
Click here to see answer by checkley71(8403)

Question 121271: A seweage treatment plant has two inlet pipes to its settling pond. One can fill the pond in 10hr, the other in 12hr If the first pipe is open for 5hrs and then the second pipe is opened, how long will it take to fill the pond.
Click here to see answer by stanbon(57361)

Question 121153: Here's my question:
One day, the temperature at 8:00 A.M. was 41 degrees Farenheight, and by 1:00 P.M. the temperature was 61 degrees Farenheight. What was the hourly rate of temperature change??
I got 4 degrees farenheight/hour. Thanks!!
Click here to see answer by stanbon(57361)

Question 120796: Car rental agency A will rent a compact car for $35 per day and an additional charge of $0.24 per mile. Car rental agency B will charge only $0.16 per mile but charges $41 per day. If Adam wanted to rent a car for three days, how many miles would Adam have to drive to make car rental agency B a better bargain?
Click here to see answer by jamaica21(1)

Question 121347: - Determine how many solutions exist
- Use either elimination or substitution to find the solutions (if any)
- Graph the two lines, labeling the x-intercepts, y-intercepts, and points of intersection
2x + 3y = 8 and 3x + 2y = 7
Click here to see answer by jim_thompson5910(28595)

Question 121315: Find a counterexample to the statement "The square of a number added to the sum of the number and five is a prime number."
Click here to see answer by Edwin McCravy(8909)

Question 121392: Betty observed that the lamp post in front of her house cast a shadow of length 8 feet when the angle of inclination of the sun is 60 degrees. How tall is the lamp post? ( in a 30-60-90 right triangle, the side opposite 30 is one half the length of the hypotenuse.)
Click here to see answer by stanbon(57361)

Question 121377: Mark wants to have a semester average of 85 in his math class. The three 6-week grades and the semester exam grade count equally in figuring the semester average in his school. The first six weeks Mark scored 92, the second six weeks he scored 75, and the third sixweeks Mark scored 83. What does Mark score on the semester exam to have exactly an 85 average for the semester?

It is a multiple choice question, but instead of going through all of the answers and wasting time, I would rather if you could explain to me how to do this problem faster[if there is one].
Click here to see answer by checkley71(8403)

Question 121346: - Determine how many solutions exist -
Use either elimination or substitution to find the solutions (if any)
- Graph the two lines, labeling the x-intercepts, y-intercepts, and points of intersection
y = 2x + 3 and y = -x - 4

Click here to see answer by checkley71(8403)

Question 121345: A bricklayer and an electrician together spend 90 hours working on a new house. If the bricklayer earns $12 per hour, the electrician earns $16 an hour, and the owner pays them a total of $1350 for their work, how many hours does each worker spend on the house?
Click here to see answer by checkley71(8403)

Question 121444: An alloy weighing 20 lbs is 30% copper. How many pounds of another alloy, which is 80% copper must be added for the final alloy t be 60% copper.
could you please help me with the set up of the equation for this problem to help me solve it.
thank you
Click here to see answer by ankor@dixie-net.com(15656)

Question 121454: At Gwen's garage sale, all books were one price, and all magazines were another price. harriet bought four books and three magazines for $1.45 and June bought two books and five magazines for $1.25. What was the price of a book and what was the price for a magazine?
Click here to see answer by algebrapro18(206)

Question 121532: I have been struggling on this problem for awhile. I was wondering if anyone could help me? Please and Thank You!!

solve each system by using multiplication with the addition-or-subtraction method.
p over 8 + q over 6 = 1
p over q = negative two-thirds

Click here to see answer by algebrapro18(206)

Question 121630: The average number of inches of rain in Tampa in August is one inch more than three times the average rainfall in December. The combined rainfall in August and December is 9.8 inches, find the rainfall for each month.
Click here to see answer by checkley71(8403)

Question 121644: The formula A=6V^2/3 gives the surface area of a cude in terms on its colume V. What is the volume of a cube with surface area of 12 square feet?
I come up with, 12=6(1)^2/3 So the colume is 1.
Am I correct?
Click here to see answer by oscargut(891)

Question 121640: the perimeter of a rectangular picture is 34 cm and the diagonal is 13 cm. find the dimensions of the picture.
Click here to see answer by checkley71(8403)

Question 121640: the perimeter of a rectangular picture is 34 cm and the diagonal is 13 cm. find the dimensions of the picture.
Click here to see answer by oscargut(891)

Question 121632: Find the exact area of a triangle with a base of square root of 30 meters and a height of square root 6 meters.
thank you for your help.
Click here to see answer by checkley71(8403)

Question 121626: the speed of a stream is 4mph. a boat travels 2miles upstream in the same time it takes to travel 10 miles downstream. What is the speed of the boat in still water?
Click here to see answer by josmiceli(9686)

Question 121668: One person can do a certain job in twenty-one minutes, and another person can do the same job in twenty-eight minutes. How many minutes will it take them to do the job altogether?
Click here to see answer by checkley71(8403)

Question 121672: The distance between two cities is ninety miles, and a woman drives from one city to the other at a rate of forty-five mph. At what rate must she return if the total travel time is three hours and forty minutes?
Click here to see answer by checkley71(8403)

Question 121691: A square plywood platform has a perimeter which is 7 times the length of a side, decreased by 18. Find the length of a side.
Click here to see answer by jainenderkapoor(61)

Question 121765: Here's my question: Bob invested $20,000, part at 14% and part at 13%. If the total interest at the end of the year is $2,720, how much did he invest at 14%? I got $11,000, but I don't think that's right.
Click here to see answer by oscargut(891)

Question 121770: The length of a rectangle is 8 in. more than twice its width. If the perimeter of the rectangle is 64 in., find the width os the rectangle. I got 10 in. Is that right?
Click here to see answer by oscargut(891)

Question 121760: Here's my question: Adult tickets for a play cost $11 and child tickets cost $10. If there were 23 people at a performance and the theater collected $246 from ticket sales, how many children attended the play? I got 16 children, but I have a feeling that's not right.
Click here to see answer by oscargut(891)

Question 121764: Here's my question: Bob invested $20,000, part at 14% and part at 13%. If the total interest at the end of the year is $2,720, how much did he invest at 14%? I got $11,000, but I don't think that's right.
Click here to see answer by checkley71(8403)

Question 121873: I have been working on this problem for 1 hour now and I am having troubles with it. I was wondering if someone could help me with it. Please and Thank You!!

Solve by whatever method you prefer, using one or two variables.

A chemist has 800g of a dye solution that is 20% of it original strength. How much dye must be added to increase the strength to 50%?

Click here to see answer by checkley71(8403)

Question 121910: Comparing Areas: A wire 360 inches long is cut into two pieces. One piece is formed into a square and the other into a circle. If the two figures have the same area, what are the lengths of the two pieces of wire (to the nearest tenth of an inch)?
I'm at a lost as to what to do here! I appreciate your help.
Click here to see answer by solver91311(16897)

Question 121972: The sum of two numbers is 72. One of the numbers is six more than twice the other. What are the two numbers?
Click here to see answer by oscargut(891)

Question 121970: In a triangle, the sum of the interior angles is 180 degrees. If angle A is three times as large as angle B, and angles B and C sum to 90 degrees, what is the measure of each angle?
Click here to see answer by oscargut(891)

Question 121964: A car that sold for $15,200 had a sales tax of $912. At the same rate, how much is the tax on a car that sells for $12,000?
Click here to see answer by bucky(2189)

Question 121882: Solve.
A garden area is 30 feet long and 20 feet wide. A path of uniform width is set around the edge. If the remaining garden area is 400 feet squared, what is the width of the path?''.

Click here to see answer by ankor@dixie-net.com(15656)

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