Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)
Question 1128172: There are 54 oranges in a crate. Harry wants to put them in smaller baskets with the same number of oranges in each. A. How does knowing if 54 is prime or composite help Harry make the baskets? B.How many baskets with the same number of oranges can Harry make? Name all the possible ways. Please
Click here to see answer by htmentor(1343)   |
Question 1128172: There are 54 oranges in a crate. Harry wants to put them in smaller baskets with the same number of oranges in each. A. How does knowing if 54 is prime or composite help Harry make the baskets? B.How many baskets with the same number of oranges can Harry make? Name all the possible ways. Please
Click here to see answer by josmiceli(19441)  |
Question 1128128: A rectangular storage container with an open top is to have a volume of 18 cubic meters. The length of its base is twice the width. Material for the base costs 10 dollars per square meter. Material for the sides costs 8 dollars per square meter. Find the cost of materials for the cheapest such container.
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 1128196: Hi!
I'm super confused by this word problem. Here it is:
A man walks 31 miles, partly at the rate of 2 miles per hour and the rest at the rate of 5 miles per hour. If he had walked at the the rate of 5 miles per hour for the same time as he actually walked at the rate of 2 miles per hour, and vice versa, he would have covered 15 miles more than he did. How long did it take him to walk the 31 miles?
Thank you very much!
Click here to see answer by josgarithmetic(39613) |
Question 1128317: Leo ran 1 1/8 miles every day for 7 days. He wrote the equation below to help him find the total number of miles he ran for the week. 1 1/8x7=
Leo ran(More than, less than, equal) 7 miles in all for the week because 7 is being multiplied by a factor(less than, equal)1, so the product must be(less than, equal)7.
Click here to see answer by josmiceli(19441) |
Question 1128463: retired has been increasing over the last decade. This is?
The percentage of Americans who are retired has been increasing over the last decade. This is causing some concern because health care, social security, and other costs will be the responsibility of a smaller group of people. That is, as the percentage of retired people increases, the percentage of working age people decreases. The following model predicts the percentage of retired people based on demographic data:
R = t/873.36 - 2.15
where R is the percentage (as a decimal) of Americans who are retired in the year t. Use this model to complete the table below.
Year % of Retired People
blank 10%
blank 15%
blank 20%
I tried to rearrange the formula as: t=(R+2.15)873.36
but I'm still not getting the correct answers.
Click here to see answer by greenestamps(13195)  |
Question 1128462: Lenders such as banks, credit unions, and mortgage companies make loans. The person receiving the loan usually pays the loan off in small payments over a long period of time. The lender earns money by charging interest, which is based on a percentage of the amount that is borrowed. There are different types of interest. Car loans are usually calculated using the formula for simple interest. The total amount repaid is based on the interest and the value of the original loan, called the principal. The formula for the total dollars needed to repay the loan, with interest, is found using the formula
A=P+Pxrxt
A is the amount (total principal plus interest) required to repay the loan,
P is the amount borrowed, the principal,
r is the annual interest rate, quoted as a percent, but used as a decimal in the formula.
t is the time, in years, taken to repay the loan (six months would be 1/2 year).
Suppose you get a loan of $5,000 at an annual interest rate of 4.25%.
A. Use the given information to write the formula for the total amount to be repaid in (t) years. Express the interest rate as a decimal.
b. Complete the table of values that shows the payoff amount after certain amounts of time.
t (years) A ($)
-----------------------
0: ____ ____
4 mo: 1/3 _____
6 mo:___ _____
1 yr: ___ _____
3 yr: ___ _____
6 yr:____ _____
Estimate the maximum time allowed to repay the loan if you want the total payoff to be less than $7,000.
Please help, I've been stuck on this question forever. :( Thank you!
Click here to see answer by Theo(13342)  |
Question 1128522: A company manufactures and sells a male grooming kit consisting of a nail clipper, a precision scissors and an ear hair remover. Each kit costs R120 to manufacture while the fixed monthly costs amount to R18 000. Each kit is sold for R160.
1. Write down an expression for the profit made by this company.
2. Determine the break even level.
3. Draw a neat graph illustrating the profit as a function of the number of kits sold. Include the break even level on the graph.
Click here to see answer by josmiceli(19441) |
Question 1128530: Average movie prices in the United States are, in general, lower than in other countries. It would cost $79.46 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost $75.89. How much does an average movie ticket cost in each of these countries?
Click here to see answer by MathLover1(20849)  |
Question 1128530: Average movie prices in the United States are, in general, lower than in other countries. It would cost $79.46 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost $75.89. How much does an average movie ticket cost in each of these countries?
Click here to see answer by rothauserc(4718)  |
Question 1128530: Average movie prices in the United States are, in general, lower than in other countries. It would cost $79.46 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost $75.89. How much does an average movie ticket cost in each of these countries?
Click here to see answer by MathTherapy(10549)  |
Question 1128536: After the release of radioactive material into the atmosphere from a nuclear power plant in a country in 1981
,
the hay in that country was contaminated by a radioactive isotope (half-life 7
days). If it is safe to feed the hay to cows when 15
%
of the radioactive isotope remains, how long did the farmers need to wait to use this hay?
Click here to see answer by ankor@dixie-net.com(22740) |
Question 1128521: A wealthy businessman owns a complex which contains 30 apartment. He gets paid R3 000 per month for renting out a two-bedroom apartment and R5 000 per month for renting out a three-bedroom apartment. He collects R106 000 in rent at the end of each month. How many of each type of apartments are in the complex?.
Click here to see answer by stanbon(75887) |
Question 1128635: A bike is traveling at 10 mph. Wheel diameter is 28 in. Determine number of revolutions per min.
Portion of solution with problem-
n revolutions per min.
Wheel travels pi * 28 * n in. in 1 min.
Wheel travels pi * 28 * n * 60 in. in 1 hr.
pi * 28 * n * 60 / (5280 * 12)
pi * 28 * n * 60 / (5280 * 12) = 10
pi * 7 * n / (88 * 3) = 10
n = 10 * 88 * 3 / (pi * 7)
10 * 88 / 7 = approx. 130
n = 120
Please explain solution with missing steps. Non-homework.
Click here to see answer by josgarithmetic(39613) |
Question 1128725: For the following exercise, use the compound interest formula, A(t) = P(1 + r/n)^nt , where money is measured in dollars.
After a certain number of years, the value of an investment account is represented by the expression
10,200(1 + 0.05/12)^ 120.
What was the initial deposit made to the account?
I'm confused as to how to solve the equation. Am I suppose to solve the second equation and then multiply it by 10, 200? or solve it a different way?
Click here to see answer by josmiceli(19441) |
Question 1128725: For the following exercise, use the compound interest formula, A(t) = P(1 + r/n)^nt , where money is measured in dollars.
After a certain number of years, the value of an investment account is represented by the expression
10,200(1 + 0.05/12)^ 120.
What was the initial deposit made to the account?
I'm confused as to how to solve the equation. Am I suppose to solve the second equation and then multiply it by 10, 200? or solve it a different way?
Click here to see answer by MathTherapy(10549) |
Question 1128727: Consider this scenario: For each year t, the population of a forest of trees is represented by the function
A(t) = 116(1.023)^t.
In a neighboring forest, the population of the same type of tree is represented by the function
B(t) = 81(1.021)^t.
By how many trees does forest B over forest A after 20 years?
Can someone explain how to properly set up the equation to solve it?
Click here to see answer by josgarithmetic(39613) |
Question 1128727: Consider this scenario: For each year t, the population of a forest of trees is represented by the function
A(t) = 116(1.023)^t.
In a neighboring forest, the population of the same type of tree is represented by the function
B(t) = 81(1.021)^t.
By how many trees does forest B over forest A after 20 years?
Can someone explain how to properly set up the equation to solve it?
Click here to see answer by greenestamps(13195) |
Question 1128727: Consider this scenario: For each year t, the population of a forest of trees is represented by the function
A(t) = 116(1.023)^t.
In a neighboring forest, the population of the same type of tree is represented by the function
B(t) = 81(1.021)^t.
By how many trees does forest B over forest A after 20 years?
Can someone explain how to properly set up the equation to solve it?
Click here to see answer by Cityscape16(2)  |
Question 1128727: Consider this scenario: For each year t, the population of a forest of trees is represented by the function
A(t) = 116(1.023)^t.
In a neighboring forest, the population of the same type of tree is represented by the function
B(t) = 81(1.021)^t.
By how many trees does forest B over forest A after 20 years?
Can someone explain how to properly set up the equation to solve it?
Click here to see answer by ikleyn(52752)  |
Question 1128729: Consider this scenario: For each year t, the population of a forest of trees is represented by the function
A(t) = 114(1.027)^t.
In a neighboring forest, the population of the same type of tree is represented by the function
B(t) = 86(1.029)^t.
If forest A had the greatest number of trees, how many trees did it have initially?
Click here to see answer by josgarithmetic(39613) |
Question 1128729: Consider this scenario: For each year t, the population of a forest of trees is represented by the function
A(t) = 114(1.027)^t.
In a neighboring forest, the population of the same type of tree is represented by the function
B(t) = 86(1.029)^t.
If forest A had the greatest number of trees, how many trees did it have initially?
Click here to see answer by greenestamps(13195) |
Question 1128765: Please include the following in your work on each word problem:
a) A statement defining any unknown quantities in the problem in terms of variables. b) An equation involving the variable(s) corresponding to the information given in the problem. c) A complete solution to the equation, showing all work. d) A complete sentence that answers the question asked, including appropriate units.
The time required to do a job varies inversely as the number of people working. It takes 7 hours for 10 bricklayers to build a park well. How long will it take 14 bricklayers to complete the job? Round to the nearest tenth if needed.
Click here to see answer by rothauserc(4718) |
Question 1128754: How to solve this problem:
The price p of a certain product and the quantity sold x obey the demand equation p = -2/3x + 200 where x is greater than or equal to 0 and less than or equal to 300. Suppose that the cost C of producing x units is C = sqrt(x) / 20 + 800.
Assuming that all items produced are sold, find the cost C as a function of the price p. Simply your answer.
Click here to see answer by ankor@dixie-net.com(22740) |
Question 1128915: A door-to-door salesman gets 12% commission on the selling price for the first 20 kg that he sells. He gets 20% commission on the excess he sells, if he sells more than 20 kg. If he sold 48 kg in a month, at 80$ per kg, calculate his total commission.
Click here to see answer by rapture1965(18)  |
Question 1128923: A lead ball is formed into a circular sheet. Find diameter of sheet.
Ball diameter; 2 in.
Sheet thickness; 0.01 in.
A ball is a sphere.
Volume; 4/3 * pi * r^3
Area of circle; pi * r^2
4/3 * 3.1416 * 1^3 = 1.3333 * 3.1416 * 1^3 = 4.18869 cu. in.
Unsure how to proceed. Non-homework.
Click here to see answer by greenestamps(13195) |
Question 1128923: A lead ball is formed into a circular sheet. Find diameter of sheet.
Ball diameter; 2 in.
Sheet thickness; 0.01 in.
A ball is a sphere.
Volume; 4/3 * pi * r^3
Area of circle; pi * r^2
4/3 * 3.1416 * 1^3 = 1.3333 * 3.1416 * 1^3 = 4.18869 cu. in.
Unsure how to proceed. Non-homework.
Click here to see answer by Alan3354(69443)  |
Question 1128839: A train travels due North for 450km at a rate of 65km/hr. It then turns sharply due East and travels for an additional 500km at a slower rate of 60km/hr
What is the average speed?
What is the average velocity?
Click here to see answer by addingup(3677)  |
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