Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)
Question 1033141: The total cost of production varied linearly with the number produced. When 20 were produced, the cost was $450. When 30 were produced, the cost was $650. Write an equation that gives the cost as a function of the number produced, and find out what it would cost if 100 were produced.
--- I do not understand what it means to vary linearly. I understand varying inversely, and varying directly, but linearly is a new concept for me. An explanation of how to solve this word problem would be greatly appreciated. Thanks!
Click here to see answer by Theo(13342)  |
Question 1033346: Ben sold his used snow plow and accessories for $352. If he received seven times as much money for the snow plow as he did for the accessories, find how much money he received for the snow plow. Create an equation for this situation.
Click here to see answer by josmiceli(19441)  |
Question 1033351: The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 320 minutes, the monthly cost will be $132. If the customer uses 520 minutes, the monthly cost will be $202.
Find an equation in the form of y = mx + b where x is the number of monthly minutes used and y is the total monthly of the Splint plan.
Use your equation to find the total monthly cost if 997 minutes are used.
Answer: If 997 minutes are used, the total cost will be dollars.
Click here to see answer by stanbon(75887) |
Question 1033394: Gold has a density of 19 320kg/m3. A salesman wants to sell you a metallic cube that weighs 500 grams, with side lengths of 3cm, for $80, which he claims is solid gold. Investigate whether you believe this item to be solid gold or another metal and justify your choice with clear mathematical working and explanations.
Click here to see answer by ikleyn(52754)  |
Question 1033413: Stacy has 30 meters of fencing that she wishes to use to enclose a rectangular garden. If all of the fencing is used, what is the maximum area of the garden, in square meters, that can be enclosed?
A)48.75
B)56.25
C)60.50
D)168.75
Click here to see answer by Boreal(15235)  |
Question 1033408: Hi
the ratio of apples in box a to that in box b was 6:7.after one third of yhe apples in box a were moved to box b, there were 35 more apples in box b than in box a. How many were in box a initially.
thank you
Click here to see answer by Boreal(15235)  |
Question 1033017: You drop a ball from a height of 1.5 meters. Each curved path has 71% of the height of the previous path.
a. Write a rule for the sequence using centimeters. The initial height is given by the term n = 1.
b. What height will the ball be at the top of the sixth path?
Click here to see answer by jorel555(1290) |
Question 1030292: For every 75 cars made at a factory, 1/3 are red, 20 are blue, and the rest are green. Seven out of every 10 blue cars have CD players and 40% of the red cars have CD players. No green cars are produced with CD players. If the factory produced 960 cars with CD players, how many green cars were produced?
Click here to see answer by jorel555(1290) |
Question 1029220: Minh and Mikayla are selling wrapping paper for a school fund-raiser. Customers can buy either packages of folded paper or rolls of paper. Minh sold 6 rolls of paper and 2 packages of folded paper for a total of $44. Mikayla sold 3 rolls of paper and 9 packages of folded paper for a total of $54. How much does each roll cost? How mush does each package of folded paper cost?
Click here to see answer by jorel555(1290) |
Question 1026909: The school that scott goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 10 adult tickets and 8 child tickets for a total of $246. The next day the school took in $102 by selling 2 adult tickets and 6 child tickets. Whats the price of an adult ticket, and the price of a childs ticket
Click here to see answer by jorel555(1290) |
Question 1033569: A cell phone plan charge is $34 per month +$0.08 per text message once you have gone over the allowed 5000. You are allowed to spend no more than $50 per month on your phone bill. What is the maximum number of takes you can send in a month?
Click here to see answer by addingup(3677)  |
Question 1032482: A large pizza at a pizzeria is a circle with a diameter of 14 inches. Its box is a rectangular prism that is 14 1/8 inches long, 14 1/8 wide and 1 3/4 tall. Your job is to create a new shape for the large pizza
It can be any irregular polygon shape BUT
It must have at least 5 sides
Fit inside the large box listed above
And be cut into 8-12 equal slices.
Please help!
I know the area of the circle is 153.94inches
And the area of the rectangular prism is 496.91 inches
Now I was looking to use a 6 sided object but I have no idea what I am doing. Can someone please help me?
Click here to see answer by fractalier(6550)  |
Question 1033689: The equation is the equation of a circle. Complete the square to change this equation to standard form. Find the radius and the coordinates of the center of the circle.
Not sure what the first step would be to solve this problem. Any help would be great. Thank you :)
Click here to see answer by stanbon(75887) |
Question 1033601: Political polls typically sample randomly from the U.S population to investigate the percentage of voters who favor some candidate or issue. The number of people polled is usually on the order of 1000. Suppose that one such poll asks voters how they feel about the President’s handling of the crisis in the financial markets. The results show that 575 out of the 1280 people polled say they either “approve” or “strongly approve” of the President’s handling of this matter. Based on the sample referenced above, find a 95% confidence interval estimate for the proportion of the entire voter population who “approve” or “strongly approve” of the President’s handling of the crisis in the financial markets.
Now, here’s an interesting twist. If the same sample proportion was found in a sample twice as large—that is, 1150 out of 2560—how would this affect the confidence interval?
Click here to see answer by rothauserc(4718)  |
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