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

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Question 162041: The Ajax Company can sell gidgets for 10.97 a piece. What does it cost the company to manifacture each gidget if it makes a profit of 8%.

i need a break down of why the answer is x=10.16;the manufactering cost is $10.16

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Question 163040: The greater of two numbers is 8 more than 5 times the smaller. Their sum is 68. Find the numbers

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Question 163891: The Montegro Flooring Company can peplave 200 square feet of carpet wiht tile in on one day.They accept a job replacing carpet with tile in an apartment that measures 977.5 square feet. How many days will it take the Montegro Flooring Company to compltet this job
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Question 163889: days The Montegro Flooring Company can peplave 200 square feet of carpet wiht tile in on one day.They accept a job replacing carpet with tile in an apartment that measures 977.5 square feet. How many days will it take the Montegro Flooring Company to compltet this job
Click here to see answer by checkley77(12844) About Me 

Question 164275: Suppose you have 4 liters of paint that is 60 %green and 40 % white. How much green paint must you add to produce a mixture that is 80%green and 20 % white

answer: 4 liters of green are added
need a break down of how they got 4 liters of green were added

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Question 164469: A chemist has 20 liters of a solution which is 35 % salt. How much water must be added to make the solution 28% salt?

answer:5 liters of water are added
need a simple breakdown of how my text book got 5 liters of water are added as the answer

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Question 164570: What is three more than twice a certain number is seven less than three times the number?
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Question 164605: The product of the two-digit number and its tens digit is 54. Find the number if the sum of the digits when added to the number gives a result of 36?
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Question 165097: A circular flower bed is surrounded by a ring of grass with an Area of 314 square yards. Find the width of the ring of grass.
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Question 165097: A circular flower bed is surrounded by a ring of grass with an Area of 314 square yards. Find the width of the ring of grass.
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Question 165099: the perimeter of a rectangle is 88cm. Find the maximum area possible for a rectangle with this perimeter.
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Question 165093: A 10m by 34m garden is surrounded by a walkway of uniform width (call it "x"). The total area of the garden and walkway is 640 square meters. what is the width of the walkway?
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Question 165101: A baseball is hit at a point 3 ft above the ground at a velocity of 100ft/s and at an angle of 45 degrees with respect of the ground. The path of the baseball is given by the function f(x) = -0.0032x2 + x +3 where f(x) is the height of the baseball (in feet) and x is the horizontal distance from home plate (in feet). What's the maximum hieght reached by the baseball?
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Question 165098: Johnny uses 80m of fencing materials to enclose three sides of a rectangular garden. The side if his house will make up the fourth. Find the garden of the area is 700 square meters.
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Question 165098: Johnny uses 80m of fencing materials to enclose three sides of a rectangular garden. The side if his house will make up the fourth. Find the garden of the area is 700 square meters.
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Question 165237: Please help with:
Use substitution to determine whether -4, 2, and 1 are zeros of f(x)=x^3+3x^2-4x
Thanks.

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Question 165788: Hello, I'm trying to help my 5th grader with a word problem, it's below, will much appreciate it , if you would help, got your site from google. This problem is due tom. morning.Thank you

Ivan, Zoe, Denys and Ethan wanted to divided up a big old pickle 30 feet long.
Denys wants twice as much as Ivan does. Zoe wants twice as much as Denys does, but half as much as Ethan does.
How should they divide the pickle?

Click here to see answer by vleith(2983) About Me 
Question 165788: Hello, I'm trying to help my 5th grader with a word problem, it's below, will much appreciate it , if you would help, got your site from google. This problem is due tom. morning.Thank you

Ivan, Zoe, Denys and Ethan wanted to divided up a big old pickle 30 feet long.
Denys wants twice as much as Ivan does. Zoe wants twice as much as Denys does, but half as much as Ethan does.
How should they divide the pickle?

Click here to see answer by Fombitz(32388) About Me 
Question 165788: Hello, I'm trying to help my 5th grader with a word problem, it's below, will much appreciate it , if you would help, got your site from google. This problem is due tom. morning.Thank you

Ivan, Zoe, Denys and Ethan wanted to divided up a big old pickle 30 feet long.
Denys wants twice as much as Ivan does. Zoe wants twice as much as Denys does, but half as much as Ethan does.
How should they divide the pickle?

Click here to see answer by Edwin McCravy(20054) About Me 

Question 166729: I really need some help solving this word problem. I have answered parts a & b but not sure if the answers I gave are correct. Part c. I do not understand how to do. Would someone mind please helping me out on this one...I would so appreciate it lots!!! Thank you!

****I answered part a. as ....x+y(3)=56 and part b. as ....x+y=56
not sure if these are the correct answers but these answers are needed in order to answer part c. and part d*****


1. Suppose you are in the market for a new home and are interested in a new housing community under construction in a different city
a) The sales representative informs you that there are two floor plans still available, and that there are a total of 56 houses available. Use x to represent floor plan #1 and y to represent floor plan #2. Write an equation that illustrates the situation.
b) The sales representative later indicates that there are 3 times as many homes available with the second floor plan than the first. Write an equation that illustrates this situation. Use the same variables you used in part a.
c) Use the equations from part a and b of this exercise as a system of equations. Use substitution to determine how many of each type of floor plan is available. Describe the steps you used to solve the problem.
d) What are the intercepts of the equation from part a of this problem? What are the intercepts from part b of this problem? Where would the lines intersect if you solved the system by graphing?


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Question 167252: arielle has a collection of grasshoppers and crikets.she has 561 insects in all. the number of grasshoppers is twice the number of crickets.find the number of each type of insect that she has
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Question 167258: Pam is playing with red and black marbles. the number of red marbles she has is three more than twice the number of black marbles she has. she 42 marbles in all. how many red marbles does pam have?
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Question 167534: In order to achieve maximum results from aerobic exercise, one should maintain ones heart rate at a certain level. A 45 year old woman with a resting heart rate of 85 beats per minute should keep her heart rate between 139 and 157 beats per minute while exercising. She checks her pulse for 10 sec while exercising. What should the number of beats be?
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Question 168015: liza sells candies and chocolates. she had already 25 chocolates which costs 2.25 pesos each and a number of candies which costs 1.75 pesos each. all in all, she gained an amount of 87.75 pesos. how many candies did liza sell?
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Question 168393: A pastry chef created a 50 ounce sugar solution that was 34% sugar from a 20% sugar solution and a 40% sugar solution. How much of the 20% sugar solution and how much of the 40% sugar solution were used?
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Question 168932: The weight of an object varies inversely with the square of the distance from earth's center (3,960 miles). A man weighs 250 lbs on the surface of the earth. How much would he weigh in an airplane flying at 30,000 ft?
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Question 169032: John is twice as old as Tom. In three years Tom will be 11 years old. How old will John be in three years?
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Question 169619: I could really use help on the below problem. If any one can help me I would appreciate it very much. It has to do with forming two equations and solving the system of equations either by elimination or substitution method.

Q. You recently started the paperwork to purchase your new home, and you were just notified that you can move into the house in 2 weeks. You decide to hire a moving company, but are unsure which company to choose. You search online and are interested in contacting two companies, Heavy Lifters and Quick Move, to discuss their rates. Heavy Lifting charges an $80 fee plus $35 per hour. Quick Move charges $55 per hour with no additional fees.
a) Which mover provides a better deal for 2 hours of work? How did you arrive at your answer?
b) Which mover provides a better deal for 15 hours of work? How did you arrive at your answer?
c) For what values h (hours) does Quick Move offer the better deal? Express your answer as an inequality. Explain how you reached your answer.

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Question 170229: evaluate {3(7 - 9) + 16}^3 ÷ (-5) - 2^4
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Question 170401: 2. As you are leaving the community, you notice another new community just down the street. Because you are in the area, you decide to inquire about it.
a) The sales representative here tells you they also have two floor plans available, but they only have 38 homes available. Write an equation that illustrates the situation. Use x and y to denote floor plan #1 and floor plan #2 respectively.
b) The representative tells you that floor plan #1 sells for $175,000 and floor plan #2 sells for $200,000. She also mentions that all the available houses combined are worth $7,200,000. Write an equation that illustrates this situation. Use the same variables you used in part a.
c) Use elimination to determine how many houses with each floor plan are available. Explain how you arrived at your answer.

Click here to see answer by Mathtut(3670) About Me 

Question 170702: The sum of two numbers is 175. The larger number is three more than three times the smaller number. Write a system of equations, and solve the system to find the numbers.
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Question 172056: Need help please
1.solve for k
-3 - 2k = -2
_______
5

3.Solve for y
16= y-5
_____
4

W15.anda missed 8 out of 64 questions on a test.What percent of the test did she get right?

23.Recent survey of high school students reported that 43% of them kept their money in a savings account, while 13% used a checking account. If 1,500 students were interviewed for the survey, how many survey responders DO NOT have money in either a checking or savings account?


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Question 172735: Hockey Teams receive 2 points when they win and 1 point when they tie. One season, a team won a championship with 69 points. They won 12 more games than they tied. How many wins and how many ties did the team have?
How many wins __
How many ties __
I'm sorry, but i am just drawing a total blank today. Thank you all.

Click here to see answer by stanbon(75887) About Me 

Question 173110: Harvey has some 1 dollar bills and some 5 dollar bills. In all he has a total of 6 bills worth 22 dollars. Let x represent the number of 1 dollar bills and y represent the number of 5 dollar bills. Write a system of equations the information and use to determine how many of each denomination Harvey has.
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Question 173389: The formula for the height of a ball as a function of time is given by the equation h = -16t^2 + vt + h, where h is the height of a ball in feet, v is the initial velocity of the ball in feet per second, h is the initial height of the ball in feet, and t is the time in seconds after the ball was thrown.
If a ball is thrown from an initial height of 5 feet at an initial velocity of 20 feet per second, what is its height after 1 second?

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Question 173444: The height in feet for a bal thrown upward at 48 feet per second is given by s(t)=-16t^2+48t, where t is the time in seconds after the ball is tossed what is the maximum height that the ball will reach?
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Question 173665: How do you solve by the addition-or-subtraction method.
12a-5b=18
15a-5b=30

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Question 173765: the sum of two numbers is 52. twice the first number is 17 more than the second. find the numbers.
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Question 173765: the sum of two numbers is 52. twice the first number is 17 more than the second. find the numbers.
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Question 173781: Jimmy the Rat invested part of $20,000 at 12% annually and the rest at 14%. The total income from these investments is $2560. How much did Jim invest at each rate?
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Question 173888: The sum of two numbers is 15. Three times one of the numbers is 11 less than five times the other. Find the numbers.
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Question 173958: 1. The perimeter of a rectangle is 120 feet. The width of the rectangle is
equal to one half the length. Find the length and width of the rectangle?
2. The area of a rectangle is 576msqaured. The length of the rectangle is 4 times greater than the width. What are the length and width of the rectangle?

3, One integer is 8 less than another integer. The product of the lesser integer and -5 is 28 more than the greater integer. What are the integers?

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Question 174452: As a participant in your school's community service project, you volunteer a total of 40 hours over the course of the school year. Your volunteer hours include serving at a soup kitchen, picking up trash at several local parks, and collecting toys for needy children. You spend 4 times as many hours collecting toys as picking up trash, and 2 hours less serving at the soup kitchen than picking up trash.
1. Write a system of equations to represent the given information and solve using the substitution method.
Please help and try to show every bit of work that you can to help me better understand the problem, Thank You! =)

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Question 174550: My son and I have been trying to solve question 37 on page 380. I believe we need to establish a rate of change for both countries and then use substitution to solve. The problem I'm having is coming up with the two slopes.
Here is the question: In 2000, approximatly 40.3 million tourists visited south america and the caribbean. The number of tourists to that area had been increasing at an average rate of .8 million tourists per year. In the same year, 17 million tourists visited the middle east. The number of tourists to the middle east had been increasing at an average rate of 1.8 million tourists per year. If the trend continues, when would you expect the number of tourists to South America and the caribbean to equal the number of tourists to the middle east?

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Question 174602: Members of the Ski Club contributed equally to obtain $1800 for a holiday trip. When 6 members found that they could not go, their contributions were refunded and each remaining member then had to pay $10 more to raise the $1800. How many went on the trip?
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