Questions on Word Problems: Evaluation, Substitution answered by real tutors!

Tutors Answer Your Questions about Evaluation Word Problems (FREE)

Question 353429: The sumof the squares of three consecutive positive integers is 77. Find the integers.
The book gives a hint: if one integer is x, the next consecutive positive integer is x+1, and the third is x+2
Click here to see answer by stanbon(57356)

Question 353440: 1. Jeff bicycles 160 miles at the rate of r mph. The same trip would have taken 2 hours longer if he had decreaased his speed by 4 mph. Find r.
2. A box with no top is to be made by cutting a 2-inch square from each corner of the square sheet of metal. After bending up the sides, the volume of the box is to be 200 cubic inches. How large should the piece of metal be?
Click here to see answer by mananth(12270)

Question 353445: Use the digits 2 through 7 (only once). Make the smallest answer you can. The smallest answer is less than 50.
Click here to see answer by Alan3354(30993)

Question 353629: Two numbers have the same sum of 25. One number is 5 more than the other. Find the numbers.
X + 5 Y = 25
This is the way I set it up and can't get this to work out. Any help would be appericated.
Click here to see answer by sofiyac(695)

Question 353479: Mason & Joe walked to a dock at 3 miles per hour, got on a boat, and traveled, to dillion at 8 miles per hour. if the total distance was 19 miles and the trip took 4.25 miles in all, how far did they go?
Click here to see answer by checkley77(12569)

Question 353925: Jasmine and her father are planting trees to create a border around the back yard. Jasmine plants a tree every 25 minutes and her father plants a tree every 15 minutes. If they started together how long before they would finish planting a tree at the same time? show your work
Click here to see answer by checkley77(12569)

Question 353961: Suppose x gallons of paint can cover y square feet of wall. If the paint costs z dollars per gallon, what expression gives the total cost of painting w square feet?

Click here to see answer by checkley77(12569)

Question 354017: 4x for x=4
Click here to see answer by rfer(12660)

Question 356707: solve x/4 - 3/5 = 3/4

Click here to see answer by Fombitz(13828)

Question 356480: Two friends rent an apartment for $975 per month. Since one bedroom is 60 square feet larger than the other bedroom, each person's rent contribution is based on bedroom size.Each person agrees to pay $3.25 per square foot of the bedroom area. Let x be the area (in square fee) of the larger bedroom, and let y be the area (in square foot) of the smaller bedroom. Write and solve a system of linear equations to find the area of each bedroom.
I tried:
60+y=3.25x?
Click here to see answer by Fombitz(13828)

Question 356836: The perimeter of a rectangle is 64cm. Twice the width is 4cm more than the length. Find the dimensions.

I don't understand how to do it. If you could show me some steps that'd be great.
Click here to see answer by sudhanshu_kmr(1152)

Question 357188: Find four consecutive integers so that if the first is increased by 2, the second decreased by 2, the third multiplied by 2 and the fourth divided by 2, then the sum of the four resulting numbers is 200.
Click here to see answer by stanbon(57356)

Question 357569: The sum of two numbers is twice their difference. The larger number is 8 more than twice the smaller. Find the numbers.

Click here to see answer by neatmath(300)

Question 357882: Mr. Ron Motti runs a small but exclusive dree shop for women. From his experience in the busienss, he estimates the probablility that a woman enterning the shop will make a purchase in 0.70. At present there are two women in the store
1. What is the probability tht both women make a purchase?
What is the probalility that at least one of the women will make a purchase?
Click here to see answer by Fombitz(13828)

Question 357851: A woman with a basket of eggs finds that if she removes
the eggs from the basket 3 or 5 at a time, there is always 1
egg left. However, if she removes the eggs 7 at a time,
there are no eggs left. If the basket holds up to 100 eggs,
how many eggs does she have? Explain your reasoning.
Click here to see answer by ankor@dixie-net.com(15652)

Question 357716: A carpenter makes bookcases in two sizes, large and small. It takes 6 hours to make a large bookcase and 2 hours to make a small bookcase. The profit on a large bookcase is $50 and the profit on a small bookcase is $20. The carpenter can only spend 24 hours per week making bookcases and must make at least two of each size per week. .....i need to find the constraints.
Click here to see answer by ankor@dixie-net.com(15652)

Question 358285: The cost for n bus tickets is 12n + 7 dollars. What is the cost of 5 tickets?
Click here to see answer by robertb(4012)

Question 358492: the difference of two numbers is 7. Twice the smaller is two more thanthe larger. Find the two numbers
Click here to see answer by ewatrrr(10682)

Question 358644: Hello, I am having some trouble on algebra word problems for instance this one:
Linda has 22 stamps in her collection and she gets 10 new stamps per week. How long will it take her to accumulate 152 stamps?
I really appreciate it
Click here to see answer by ewatrrr(10682)

Question 358917: the AVERAGE weight of the top 5 fish caught in the tournament was 12.3 lbs. The second fish weighed 12.8 lbs. the third fish weighed 12.6 lbs, the fourth fish weighed 11.8lbs and the 5th fish weighed 9.7 lbs. What was the weight of the heaviest fish?
PLEASE EXPLAIN THE STEPS INVOLVED. My teacher does not explain how to arrive at the answer or how to figure out a an average with one of the numbers missing.
Click here to see answer by stanbon(57356)

Question 359715: Mike discovered that the pool in his backyard is leaking slowly. The pool holds 16,968 gallons of water, and is leaking at a rate of 12 gallons per day. If Mike does not replace the water that has leaked from the pool, how many gallons of water will remain in the pool after 199 days?

Click here to see answer by checkley77(12569)

Question 360092: the sum of two numbers is 57. If the larger number is increased by 3 it is equal 4 times the smaller number
Click here to see answer by mananth(12270)

Question 360092: the sum of two numbers is 57. If the larger number is increased by 3 it is equal 4 times the smaller number
Click here to see answer by ewatrrr(10682)

Question 360815: Rachel is t years old. How old will she be in 12 years?

Click here to see answer by ewatrrr(10682)

Question 362283: On the first of three tests, Charlotte scored 72 points. On the third test, her score was one point more than on her second test. Her average on the three tests were 83. What were her scores on the second and third tests?
Click here to see answer by mananth(12270)

Question 362368: hello i was wondering if anyone could help me with this word problem that i have been struggling with. it reads: find two whole numbers whose product is 15 such that one of the numbers is seven more than four times the other number. thank you for your time, it is greatly appreciated.
Click here to see answer by mananth(12270)

Question 362995: Students can buy tickets to a basketball game for $1. The admission for nonstudents is $2. If 350 tickets are sold and the total receipts are $450, how many student tickets are sold?
Click here to see answer by mananth(12270)

Question 363881: A new cruise ship line has just launched 3 new ships: the Pacific Paradise, the Caribbean Paradise, and the Mediterranean Paradise. The Caribbean Paradise has 13 more deluxe staterooms than the Pacific Paradise. The Mediterranean Paradise has 23 fewer deluxe staterooms than four times the number of deluxe staterooms on the Pacific Paradise. Find the number of deluxe staterooms for each of the ships if the total number of deluxe staterooms for three ships is 752.
Click here to see answer by ewatrrr(10682)

Question 364956: how to get this definite integral, i need the steps not just the answer
integral(limits from 0 to 1) {x*exp(x)/(1+x^2)} dx
Click here to see answer by Fombitz(13828)

Question 365180: The width of a rectangle is 3 yards less than its length .The perimeter is 130 yards .Find the length and the width of the rectangle.

Click here to see answer by JBarnum(2044)

Question 365171: Hello, I stumbled on a Algebra problem in my Algebra Problem book today.
The problem is:
Joe thought of two numbers, their sum was 20 and the sum of their squares was 300. What is their product?
I am guessing you have to find all the sums of 20 first?
But the "sum of their squares is 300" part is confusing me.
Is it the two numbers, squared, and the squares then added to receive 300?
WOuld the numbers be negative?
Help would be appreciated, these are the kinds of algebra problems I will require to know for the upcoming quiz.
Click here to see answer by Alan3354(30993)

Question 365939: How long will it take for the population of a certain country to triple if its annual growth rate is 3.6%? Round to the nearest year.
Click here to see answer by robertb(4012)

Question 365938: Randy invested his inheritance in an account that paid 6.3% interest,
compounded continuously. After 6 years, he found that he now had $48,541.33
What was the original amount of his inheritance?
Click here to see answer by mananth(12270)

Question 365941: Find the logarithm using the change-of-base formula.
log100 20
Click here to see answer by Fombitz(13828)

Question 365992: A tank can be filled in 4 days using pipe A alone, and in 3 days using both A and B. How many days will take to pipe B to fill the tank?
Click here to see answer by amoresroy(333)

Question 366442: Find an equation of variation for the given situation.
y varies inversely as the square of x, and y = 7 when x = 3
Click here to see answer by robertb(4012)

Question 366434: Sove the logarithmic equation.
ln(x+1)-ln(x-2)=ln5
Click here to see answer by Fombitz(13828)

Question 366635: Use given information to write a system of equations; then, solve the system. Be sure to clearly identify all unknowns in the equation.
An auto mechanic student needs 25 gallons of a 21% antifreeze solution. She has available a 40% solution and a 15% solution. How much of each solution should she use to end up with 21% solution?

Click here to see answer by edjones(7569)

Question 365936: The number of miles per gallon of gasoline that a vehicle averages varies inversely as the average speed the car travels. A vehicle gets 13 miles per gallon at 52 mph. How many miles per gallon will it get at 54 mph?
Click here to see answer by maui6marquez(1)

Question 367652: a store mixes kenyan coffee worth $11 per kilogram and venezuelan coffee worth $13 per kilogram. The mixture is to sell for $12 per kilogram. Find how much of each should be used to make a 252-kilogram mixture.
Click here to see answer by ewatrrr(10682)

Question 367611: Jade's mum buys a pack of 8 kiwi fruit for $1.92.Individual kiwi fruit cost 30p each.How much cheaper is each kiwi fruit by buying in a pack?
Click here to see answer by ewatrrr(10682)

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