Questions on Word Problems: Linear Equations And Systems Word Problems answered by real tutors!

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Tutors Answer Your Questions about Linear Equations And Systems Word Problems (FREE)


Question 147629: Problem: In 1960, the United States generated 87.1 million tons of municipal solid waste and recovered (recycled) only 4.3% of it. The amount of municipal solid waste generated in the United States can be modeled by the formula w = 3.14n + 87.1, while the amount recovered can be modeled by the formula w = 0.576n + 3.78, where w is in millions of tons and n is the number of years since 1960.
(1) Use the formulas to determine the year in which the United States generated over 100 million tons of municipal solid waste.
(2) Find the year in which 13% of the municipal solid waste generated will be recovered.
(3) Will the recovery rate ever reach 25%?
(4) According to this model, what is the maximum percentage of solid waste that will ever be recovered?

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Question 147701: Can I have some help me with this problem?
Single Women - The precentage of women in the 20-24 age group who have never married went from 55% in 1970 to 73% in 2000 (Census Bureau, www.census.gov). Let 1970 be year 0 and 2000 by year 30.
a) Find and interpret the slope of the line through the points (0,55) and (30,73).
b) Find the equation of the line in the (a).
c) What is the meaning of the y-intercept?
d) Use the equation to predict the percentage in 2010.
e) If this trend continues, then in what year will the percentage of women in the 20-24 age group who have never married reach 100%

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Question 147634:
An item costs $900, has a scrap value of $50, and a useful life of five years. The linear equation relating book value and number of years is:

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Question 147713: If the probability that at least one person makes an A on the final exam is 0.15, then the probability no one makes an A is:
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Question 147779: trains a and b are traveling the same direction on parallel tracks. train a is traveling at 100mph and train b is traveling at 120mph. train a passes a station at 10:25am.if train b passes the same station at 10:40am, what time will train b catch up to train a?
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Question 147860: The difference of two numbers is 77. The second is 7 less than 5 times the first. What are the two numbers?
Can some one please help out with this question?
v/r
Jess

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Question 147905: in 1990, the life expectancy of males in a certain country was 63.1 years.in 1996, it was 65.4 years.let E represent the life expectancy in year t and let t represent the number of years since 1990.
the linear function E(t) that fits the data is E(t)=?
use the function to predict the life expectancy in males in 2007
E(17)=? all answers must be rounded to the nearest tenth

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Question 147925: Express the following statements in terms of algebraic symbols.
Q:The three angles A,B,C of a triangle ABC if angle A exceeds twice angle B by 20.

please and thank you

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Question 147925: Express the following statements in terms of algebraic symbols.
Q:The three angles A,B,C of a triangle ABC if angle A exceeds twice angle B by 20.

please and thank you

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Question 148017: I need a total of 100 birds from 3 different species.The total budget is 100 dollars.If the chickens cost .50 cents,the ducks 3 dollars and the turkeys 10 dollars,how many of each do I need to get the 100 birds with the 100 dollars budget?
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Question 147900: the equation y=-1777x+27,153 can be used to predict the number y of gun deaths in the united states, x years after 2000 that is, x= 0 corresponds to 2000, x=3 corresponds to 2003,x=6 corresponds to 2006 and so on.predict the number of gun deaths in 2006 and 2007. in what year will the number of gun deaths be 11,160?
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Question 148035: An item costs $1300 has a scrap value of $100, and a useful life of six years. The linear equation relating book value and number of years is:
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Question 148180: The sum of two numbers is 73. The second is 7 more than 5 times the first. What are the two numbers?
Can some please help out with this question.
v/r
Jess

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Question 148180: The sum of two numbers is 73. The second is 7 more than 5 times the first. What are the two numbers?
Can some please help out with this question.
v/r
Jess

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Question 148237: How do I set up the following word problem into a mathematical equation:
A customer walks into an electronics store and buys five MP3 players and eight sets of headphones, paying $840. A second customer buys three MP3 players and four sets of headphones, and pays $480. How much does an MP3 player cost? How much does a set of headphones cost?

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Question 148524: I Don't want the answer I just need help getting started (setting up equation) and understanding a little more about the actual subject itself (proportion equations). If it's too much I understand.
1. A lawyer bills her clients $200 per hour of service. If a client's case requires 39 hours to complete, use proportion to calculate how much the client will owe the lawyer (excluding tax).
2. A new virus is released on the internet; the administrator of a department's Local Area Network ( LAN) is given five minutes by a manager to estimate the impact. The administrator samples 15 of the PCs connected to the LAN, and finds that 9 are infected; use proportion to estimate the number of infected PCs if there are a total of 202 PCs connected to the LAN.

3. An administrator of a popular web site is told that a new server can handle 41,000 "hits" (users accessing the site) per second. The web site currently experiences a peak demand of about 105,000 hits per second; but every month, the peak demand increases by 2800 hits per second. Use a proportion equation to determine how many new servers the administrator should buy to address expected traffic for the next 24 months.

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Question 148582: please help me to solve this equation.In 3 years ,Alex will be 3 times as old as his sister Percy.A year ago,Alex was 7 times as old as Percy.How old are they now?

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Question 148583: for each line discrbed find an equation of the line in slope intercept form and in standard form.
through (4,-2)and perpendiculap to the line (3,7) and (5,6)

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Question 148607: Over the weekend, Rachel and morgan drove to chicago to go shopping. Now they are preparing to go home. Morgan needs gas for her jeep, which get 26 miles per gallon for gas mileage, when she stops at the gas station, she already has 10 gallons of gas in her tank. She buys $1.60 per gallon.
If Morgan spends $21.00 on gas, what is the total distance the girls could travel? Round to the necessary, to the nearest tenth

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Question 148618: You and your pigeon start from home and drive north 30 miles then east 45 miles. Your pigeon decides to fly home. What is shortest distance he can fly?
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Question 148736: Low-Fat yogurt. Ziggy's Famous Yogurt blends regular yogurt that is 3%fat with its no-fat yogurt to obtain low-fat yogurt that is 1%fat.How many pounds of regular yogurt and how many pounds of no-fat yogurt should be mixed to obtain 60 pounds of low-fat yogurt?
I started with x pounds=3% yogurt .03x
y pounds=no fat yogurt 0.0y
60 pounds=1% yogurt .01(60) or .60
x+y=60 and .03x + 0.0y =.60
x=60-y
.03x = .60
.03(60-y)=.60
1.80-y=.60
y=1.20
x+y=.60
x+1.20=.60
x=.60-1.20
x=-.60
I am lost and confused , please help me understand how to do this word problem
Thank you

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Question 148744This question is from textbook GLENCOE Algebra 2
: The ideal surface area of a rubber ball shipped from the factory is 50.25 square inches. The company inspector insists that the balls shipped vary no more than 0.3 square inches of this total. To the nearest hundredth what is the minimum value for the surface area of rubber balls shipped, and what is the maximum value for the surface area of rubber balls shipped? I don't know how to even begin to put this into an equation. Thank you!This question is from textbook GLENCOE Algebra 2

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Question 148865: According to Dr. Aaron R. Folsom of the University of Minnesota School of Public Health, your maximum ideal waist size is directly proportional to your hip size. For a woman with 40 inch hips, the maximum ideal waist size is 32 inches. What is the maximum waist size for a woman with 35 inch hips?
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Question 148864: The volume of a gas is inversely proportional to the pressure on the gas. If the volume is 6 cubic centimeters when the pressure on the gas is 8 kilograms per square centimeter, then what is the volume when the pressure is 12 kilograms per square centimeter?
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Question 148934: Hi, I have to translate the following into a quadratic equation and solve it. Please help.
The length of a rectangular garden is three times its width: if the area of the garden is 75 square meters, what are its dimensions?

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Question 148933: Walt made an extra $9000 last year from a part-time job. he invested part of the money at 9% and the rest at 8%. he made a total of $770 in interest. How much was invested at 8%?
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Question 148933: Walt made an extra $9000 last year from a part-time job. he invested part of the money at 9% and the rest at 8%. he made a total of $770 in interest. How much was invested at 8%?
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Question 148932: Please help me put this word problem into a linear equation. Thank you in advance.
Joe has a collection of nickels and dimes that is worth $5.65. If the number of dimes were doubled and the number of nickels were increased by 8, the value of the coins would be $10.45. How many dimes does he have?

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Question 148931: Please help me put the word problem below in linear equations. Thank you so much in advance. Please help me.
How do I go about this with the question?
An express and local train leave gray's Lake at 3 P.M. and head for Chicago 50 miles away. The express travels twice as fast as the local, and arrives 1 hour ahead of it. Find the speed of each train.

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Question 148931: Please help me put the word problem below in linear equations. Thank you so much in advance. Please help me.
How do I go about this with the question?
An express and local train leave gray's Lake at 3 P.M. and head for Chicago 50 miles away. The express travels twice as fast as the local, and arrives 1 hour ahead of it. Find the speed of each train.

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Question 148931: Please help me put the word problem below in linear equations. Thank you so much in advance. Please help me.
How do I go about this with the question?
An express and local train leave gray's Lake at 3 P.M. and head for Chicago 50 miles away. The express travels twice as fast as the local, and arrives 1 hour ahead of it. Find the speed of each train.

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Question 148958: the small soo at the park charges $12 for adult admission, $8 for child admission and $5 for senior admission. for one day, the zoo collected $839 and admitted 98 visitors. If the adult admission is 5 more than the senior admission, how many persons of each category were admitted on this day?
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Question 149033: 17 coins consisting of nickels dimes and quarters are collected for a newspaper vending machine. the total value of the coins is $2.05 and there are 4 more dimes than quarters. find the number of each coin type.
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Question 149034: A total of $3.45 constisting of dimes and quarters was collected from a soft drink vending machine. If there are 3 more dimes than quarters, find the numnber of dimes and quarters.
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Question 149067This question is from textbook
: hi, i need the step by step exact solution,thanks
find two positive numbers if one is three times the other and their difference is 8.
This question is from textbook

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Question 149067This question is from textbook
: hi, i need the step by step exact solution,thanks
find two positive numbers if one is three times the other and their difference is 8.
This question is from textbook

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Question 149086: Write an equation of the Line 1 passing through (3,-4) that is parallel to the Line II 5x-3y-9=0. Does the line I pass through the point (6,7)? Does the line II pass through the point (6,7)?

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Question 149174This question is from textbook
: hi, i need exactly step by step solution in this word problem.thanks

Five times the difference of two numbers is 6 less than twice their sum.Twice the first number added to one.third of the second number is 11.Find the numbers.
This question is from textbook

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Question 149182This question is from textbook
: Hi i need exactly step by step solution in this word problem,and check it.thanks
The sum of the digits of the two-digits number is 3.The tens digits is one more than the unit digit.Find the numbers.
This question is from textbook

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Question 149182This question is from textbook
: Hi i need exactly step by step solution in this word problem,and check it.thanks
The sum of the digits of the two-digits number is 3.The tens digits is one more than the unit digit.Find the numbers.
This question is from textbook

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Question 149179: Hockey teams receive 2 points for a win and 1 point for a tie. The wild cats once one a championship with 60 points. They won 9 more games than they tied. How many wins and how many ties did the Wildcats have? I thought I set this problem up correctly but it didnt work out right??
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Question 149183This question is from textbook
: Hi i need exactly step by step solution in this word problem,and check it.thanks
If the numerator and the denominator of a fraction are increased by 3,the resulting fractions is 3/4.But if the terms of the fractions are decreased by 2,the new fractions is 1/3.Find original fraction.
This question is from textbook

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Question 149183This question is from textbook
: Hi i need exactly step by step solution in this word problem,and check it.thanks
If the numerator and the denominator of a fraction are increased by 3,the resulting fractions is 3/4.But if the terms of the fractions are decreased by 2,the new fractions is 1/3.Find original fraction.
This question is from textbook

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Question 149185This question is from textbook
: hi, i need exactly step by step solution, thanks
If the numerator and the denominator of a fraction are increased by 3,the resulting fractions is 3/4.But if the terms of the fractions are decreased by 2,the new fraction is 1/3. Find the original faction?
This question is from textbook

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Question 149206: Joe has a collection of nickels and dimes tha is worth$5.65. If the number of dimes were doubled and the number of nickels were increased by 8, the value of the coins would be $10.45. How may dimes does he have? Please show all work...
So far all I can come up with is x =dimes, y= nickels.
x(2), y+8 =$10.45

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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, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240