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

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Word Problems: Evaluation, Substitution

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Question 152192: A,B and C can do a piece of work together in 3 days. A can do it alone in 10 days and B can do it alone in 8 days. How long will it take C to do the job alone?
Click here to see answer by edjones(3299)

Question 152191: A can paint a certain house in 10 days and B can paint the same house in 12 days. How long will it take to paint the house if both men work?
Click here to see answer by Alan3354(6097)

Question 152453: ``anne buys a plant whose height is 8cm. the plant is growing at a rate of 4/5 cm per week. when will its height exceed 13 3/5 cm.''. This problem needs to have < and > in it. someone please help me.
Click here to see answer by vleith(1977)

Question 152624: First equation is x + y = 56
Second equation is where I am having the problem with interperting:
The sales representative later indicates that there are 3 times as many homes available with second floor plan than the first. Write an equation that illustrates this situation. Heres what I think the secon equation should look like: x + 3y =0?
When trying to solve with substitution my answers become false.
y= -x + 56 x + 3(-x + 56)= 0
x -3x + 168 = 0
-2x + 168 = 0
-2x = -168
x = 84
y= 84 + 56
y= 140
x + y = 56
84 + 140= 196

Click here to see answer by Fombitz(2113)

Question 152913This question is from textbook introductory mathematical analysis , for business ,economics and the life and social science

: Hi iam having some problems with this question, i would appreciate it very much if you could solve it for me, thank you.
Equalizing cost.
United products co. manufactures calculators and has plants in the cities of Exton AND WHYTON .At the Exton plant, fixed cost are $7000 per month , and cost of producing each calculator is $7.50.At the Whyton plant ,fixed cost are $8800 per month ,and each calculator costs $6.00 to produce .Next month ,United products must produce 1500 calculators.How many must be made at each plant if the total cost at each plant is be the same
This question is from textbook introductory mathematical analysis , for business ,economics and the life and social science

Click here to see answer by Earlsdon(4900)

Question 155011: the total population of a region in a certain country is 15 500.A village with a population of 620 is situated in this region.Express the population of the village as a percentageof the totalpopulation of this region

Click here to see answer by oscargut(682)

Question 155294: Could you show me the steps you take to solve:
The sum of two integers is thirty. Eight times the smaller integer is six more than five times the larger integer. Find the integers.
Click here to see answer by stanbon(26297)

Question 157065: find the volume of cube when each side x is 10 ft
Click here to see answer by atique.ah(23)

Question 157769: A train leaves the station at 6p traveling west, going 80 miles per hour on a parallel track,a second train leaves the station three hours later traveling west at 100 miles and hour, at what time will the second train catch up with the first?
Click here to see answer by nerdybill(2448)

Question 158450: I have no idea how to set up this problem! Once the equation is set up i know how to solve it. Do you have any suggestions concerning word problems?

HERE'S THE EQUATION...
A coin purse contains an equal number of nickels, dimes and quarters. The total amount of money in the purse is 680 cents. How many nickels are in the coin purse?

Click here to see answer by Electrified_Levi(103)

Question 158853: The sum of the digits of a two-digit number is 7. When the digits are reversed, the number formed is 27 more than the original number. Find the original number.

Click here to see answer by nerdybill(2448)

Question 159172: At a minor league stadium, grandstand seats cost
$10 and bleacher seats cost $6. The total receipts
from the tickets sales for a certain game were less
than $10,000. Write a linear inequality that describes
the number of each kind of ticket sold.

Click here to see answer by checkley77(7072)

Question 159383: There are 210 students doing the morning exercise. Kinder, Grade Five, and grade six. There are 15 more grade five children than Kinder and 45 less grade six children than kinder. How many children from each grade are exercising?
Click here to see answer by nerdybill(2448)

Question 159843This question is from textbook
: Two friends are renting an apartment. They pay the landlord the 1st months rent. The landlord also requires them to pay an additional half of a months rent for a security deposit. The total amount they pay landlord before moving in is $1725. What is the monthly rent?This question is from textbook

Click here to see answer by petvetizhere(5)

Question 160902: A photograph that measures 20 cm by 35 cm is to be surrounded by a matte before framing. The
width of the matte will be equal on all four sides. If the area of the matte will be twice the area of
the photograph, determine the width of the matte.
Click here to see answer by ankor@dixie-net.com(6693)

Question 161029: twice the greater of two consecutive odd integers is 13 less than three times the lesser number. find the integers
Click here to see answer by ankor@dixie-net.com(6693)

Question 161028: two less than one third of a number equals 3 more than fourth of the number. find the number
Click here to see answer by ankor@dixie-net.com(6693)

Question 161094: Apply scientific notation to scientific models/ word problems.

1. Suppose the number of people who live in St. Jerome and pay a water bill is 1,430,000. If the average water bill per month is $80, what is the total amount of money received by the city for water yearly? (Write answer in scientific notation form.)

Click here to see answer by checkley77(7072)

Question 161323: A youth group with 26 members is going skiing. Each of the five chaperons will drive a van or a sedan. The vans can seat seven people, and the sedans can seat five people. How many of each type of vehicle could transport all 31 people to the ski area in one trip?
I really need help I do not understand this word problem at all please help me
Click here to see answer by vleith(1977)

Question 161483: I need help to solve this "Tom’s uncle owns a triangular piece of land. The perimeter fence that surrounds the land measures 378 yards. The shortest side is 30 yards longer than one-half of the longest side. The second longest side is 2 yards shorter than the longest side. What is the length of each side?"
Click here to see answer by checkley77(7072)

Question 161736: a certain number, if two digits equals 4 times thew sum of its digits. the number made by reversing the order of the digits is 27 greater than the given number. what is the number?
Click here to see answer by Fombitz(2113)

Question 161731: A man rowed 10 km up ariver in 5 hours and back in 21/2 hours. Find the rate of the current and his rate of rowing in still water.
Click here to see answer by josmiceli(3013)

Question 161784This question is from textbook

: jessica ran a marathon. it took her 3 hours and 2 minutes to run 26 miles. if she ran at the same rate for the whole race how many minutes did it take for her to run each mile?This question is from textbook

Click here to see answer by checkley77(7072)

Question 161988: The scale distance on a map varies directly as the actual distance. If the actual distance of 1500 km is represented by 5 cm on the map, what is the actual distance represented by 12 cm?
Click here to see answer by KnightOwlTutor(292)

Question 161985: In y=4x, what happens to y when x is doubled?increased by 2?decreased by 3?halved?
Click here to see answer by KnightOwlTutor(292)

Question 161984: In y=4x, what happens to y ehn x is doubled?increased by 2?decreased by 3?halved?
a) Lets double x: so x becomes 2x
y=4x
y=4(2x)
y=8x....y is doubled
b) Lets increase x by 2; so x becomes x+2
y=4x
y=4(x+2)
y=4x+8 so y increased by 8
c) Let x be decreased by 3 so x becomes x-3
y=4x
y=4(x-3)
y=4x-12....so y is decreased by 12
d) Let x be halved, so x becomes x/2
y=4x
y=4(x/2)
y=4x/2..... so y is halved
Click here to see answer by eperette(173)

Question 161986: A weight of 250g stretches a spring to a distance of 9.5 cm. If the distance stretched is directly proportional to the attached weight, what weight will stretch the spring to 5.7cm?
Click here to see answer by Edwin McCravy(2922)

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
Click here to see answer by checkley77(7072)

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

Click here to see answer by joecbaseball(37)

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
Click here to see answer by josmiceli(3013)

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(7072)

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
Click here to see answer by Fombitz(2113)

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
Click here to see answer by Fombitz(2113)

Question 164570: What is three more than twice a certain number is seven less than three times the number?
Click here to see answer by jojo14344(1483)

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?
Click here to see answer by vleith(1977)

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.
Click here to see answer by Alan3354(6097)

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.
Click here to see answer by jim_thompson5910(13794)

Question 165099: the perimeter of a rectangle is 88cm. Find the maximum area possible for a rectangle with this perimeter.
Click here to see answer by Alan3354(6097)

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?
Click here to see answer by jim_thompson5910(13794)

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?
Click here to see answer by jim_thompson5910(13794)

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.
Click here to see answer by Alan3354(6097)

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.
Click here to see answer by themathprof(21)

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(1977)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630