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 204995: the question is: if we begin a graph of f(x)=the square root of x, shift 4 units to the right, shrink vertically by a factor of 1/2 , and shift upward 10 units, write an equation for the transformed graph.
so far I have:
(the square root of x)- 4(four units to the right) + 10( 10 units upwards)
I do not know how to do with the part that says shrink vertically by 1/2

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Question 205027: How many apples are on each tray if man carrying a square tray dropped his onto floor and girl carrying 4 trays drops 1 row of apples off each tray and there are 77 on the floor?
Is it ax^2+bx+c=0? If so, is 1(x)2+4(x)-77=0? How do I get the number representing how many apples are on each tray? Thank you,

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Question 205104: The tens digit of a two-digit number is half the units digit. If their difference is 4, what is the number?
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Question 205250: TJ plans to erect 132 feet of fencing around his rectangular garden, using his house as one side of the garden. Each width (x) is 3 feet longer than twice the length (y). Find the dimensions of the garden.
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Question 205260: I am trying to figure out a "word" problem. It goes, Let W be all the words in English. A relation L is defined from W to the positivei ntegers that associates each word with the number of letters in the word. For example, L(the)=3 since the word the has three letters.
The question is:
a) What pairs in L have second coordinate 1?
b) Is this relation a function and explain.

If I am using a word sample, I cannot come up with any words that would have a second coordinate of 1. The word "I" = 1 or would any letter in the alphabet have a coordinate of 1 but the question is asking for pairs.
Thanks,
Lori

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Question 205314: Graph the compound inequality. Write the solution using interval notation.
x<-3 or x>2

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Question 205361: Hockey teams receive 2 points when they win and 1 point when they tie. One season, a team won a championship with 60 points. They won 12 games than they tied,. How many wins and how many ties did the team have?
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Question 205401: The difference between two numbers is 15. When twice the smaller number is subtracted from three times the larger number the difference is 58. What is the larger number?
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Question 205558: the average of nine numbers is 40. if 1 is added to the first number, 2 is added to the second number, 3 is added to the third number and so on up to the ninth number, what is the new average?
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Question 205716: In 2004, the Diabetic Express charged 27.06 for a vial of Humulin insulin and 34.39 for a vial of Velsulin insulin. If a total of 1565.57 was collected for 50 vials of insulin, how many vials of each type were sold?
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Question 205771: A manufacturer of screened porches ells a model that seels for p dollars. The revenu from the sale if this model is given by the following polynomical:
R=-0.25p2+250p (-.25p squared plus 250p)if revenue is found by multiplying price and demand, what is the ploynomial representing the demand??



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Question 137785: I need help on this question:
A total of $30,000 is invested in two accounts paying 3% and 4% annual intrest. The combined annual interest is $1020
A. Write a system of linear equations that represent the situation.
B. How much of the $30,000 is invested in each account?
Thank you.

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Question 205901: I need help making a system of equations based on a word problem, this is the problem: Helen invested a total of $1,000 in two simple interest accounts. One account paid 4% annual interest; the other paid 6% annual interest. The total amount of interest earned was $58. Write and solve a system of equations to find the amount invested in each account.
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Question 205954: the area of a rectangular playground is 160 sq.m. and its perimeter is 52sq.m. what is the length and width of the playground?
please help...please also show the solution so i will know how to solve...thanks

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Question 205981: I need help making a system of equations based off of a word problem. Here is the problem: Mary and John save their quarters. Mary starts out with 34 quarters and saves 8 quarters a month. John starts out with 2 quarters and saves 16 quarters a month. In how many months will they have the same number of quarters?
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Question 206040: hello, I have a question on linear equation that models the following situation:
The World of Frying Pans buys a computer for 4000 dollars. After 3 years the computer will be worth 400 dollars. What is the linear equation that relates the value of the computer(V) to the age of the computer(a)?

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Question 206043: I need help making a system of equations based off of a word problem. Here is the problem: Jose and Maria sell home theater systems; Jose earns a base salary of $2,400 per month, plus $100 for each system he sells. Maria earns a base salary of 2,200 per month, plus $120 for each system she sells.
- Write an equation to represent Jose's earning. Let y represent the total earnings and let x represent the number of systems sold.
-Write an equation to represent Maria's earning. Let y represent the total earnings and let x represent the number of systems sold.
-How many systems do Jose and Maria have to sell before they can earn the same amount of money?

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Question 206048: I need help on making a system of equations based on a word problem. Here is the problem: Tricia and Michael share a cell phone plan, together; they made a total of 52 calls last month for a total of 620 minutes. Tricia averaged 15 minutes for each of her calls, while Michael averaged 10 minutes.
-How many calls did Tricia make last month?
-How many calls did Michael make last month?
Thank you for help.

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Question 206048: I need help on making a system of equations based on a word problem. Here is the problem: Tricia and Michael share a cell phone plan, together; they made a total of 52 calls last month for a total of 620 minutes. Tricia averaged 15 minutes for each of her calls, while Michael averaged 10 minutes.
-How many calls did Tricia make last month?
-How many calls did Michael make last month?
Thank you for help.

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Question 206039: hello, I have a question on linear equation that models the following situation:
The World of Frying Pans buys a computer for 4000 dollars. After 3 years the computer will be worth 400 dollars. What is the linear equation that relates the value of the computer(V) to the age of the computer(a)?

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Question 206074This question is from textbook
: Donna invested her $33,000 bonus and received a total of $970 in interest after one year. If part of the money returned 4% and the remainder 2.25%, then how much did she invest at each rate?
This question is from textbook

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Question 206202: Your company produces two models of bicycles: Model A and Model B. Model A takes 2 hours to assemble, where Model B takes 3 hours to assemble. Model A costs $25 to make per bike where Model B costs $30 to make per bike. If your company has a total of 34 hours and $350 available per day for these two models, how many of each model can be made in a day?

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Question 205930: 2.)The denominator of a fraction is 4 less than the numerator. If the denominator is doubled and the numerator is increased by 6, the sum of the original fraction and the new one is 3. Find the original fraction.
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Question 206407: karen is 5 years older than the square age of daniel's age. In 20 years time Karens age will be double Daniels age. How old are they now
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Question 206038: my question is on linear equations.
Find the linear equation that models the following situation:
Your uncle Noah bought a house in 1960 for 16000 dollars. If the house value grew linearly and in 1990 the house had a value of 180000 dollars, what would the linear equation relating the value of the house(V) to the time your uncle has owned the house(t) be?

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Question 206564: I need help making a system of equations based on a word problem, here is the problem:"At the hardware store, Leslie bought 2 boxes of nails and 3 boxes of screws and paid $13.95 before tax. Michael bought 4 boxes of nails and 1 box of screws and paid $12.15 before tax. Find the cost of a box of nails and the cost of a box of screws.
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Question 206810: Please help me solve this problem: ( Geometric Problem )
1. A square garden has a walkway 3 ft wide around its outer edge. If the area of the entire garden, including the walkway, is 121 ft2, what are the dimensions of the planted area?

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Question 206812: Please help me solve this problem: (Mixture Problem)
1. A producer of packaged frozen meat wants to market mixed meat at P115.00 per kilogram. How many kilograms of pork meat worth P120.00 per kilogram must be mixed with 20 kilograms of chicken meat worth P100.00 per kilogram and 5 kilograms of beef meat worth P160.00 per kilogram to produce a satisfactory mixture?

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Question 206811: Please help me solve this problem: (Mixture Problem)

1. How many grams of Brand A coffee worth P4.00 per gram must be added to 100 grams of Brand B coffee worth P7.00 per gram to produce a mixture worth P6.00 per gram?

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Question 206918: This is not for homework; however, it is one in a homework text for the University of Phoenix Introductory and Intermediate Algebra.
In order to disuss with my classmates about how to solve linear equations, I need to be able to understand this one by today. Rod is a pilot for Crossland Airways. He computes his flight time against a headwind for a tip of 2900 mi. at 5 hr. The flight would take 4 hr and 50 min if the headwind were half as great. Find the headwind and the plane's air speed.
I understand I must use d=rxt. How do I come up with the two equations? I thought maybe it was 2,900= R x 5 and D = r 1/2 x 4.50; but, they do not look right. I came up with an air speed of 124.7? Please help.Reference:
Bittenger, M. L. & Beecher, J. A. (2007). Introductory and intermediate algebra (3rd ed.). Boston: Pearson-Addison Wesley.

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Question 206918: This is not for homework; however, it is one in a homework text for the University of Phoenix Introductory and Intermediate Algebra.
In order to disuss with my classmates about how to solve linear equations, I need to be able to understand this one by today. Rod is a pilot for Crossland Airways. He computes his flight time against a headwind for a tip of 2900 mi. at 5 hr. The flight would take 4 hr and 50 min if the headwind were half as great. Find the headwind and the plane's air speed.
I understand I must use d=rxt. How do I come up with the two equations? I thought maybe it was 2,900= R x 5 and D = r 1/2 x 4.50; but, they do not look right. I came up with an air speed of 124.7? Please help.Reference:
Bittenger, M. L. & Beecher, J. A. (2007). Introductory and intermediate algebra (3rd ed.). Boston: Pearson-Addison Wesley.

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Question 207271: It took me 6 minutes to walk 500 meters, how fast was i TRAVELLING?

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Question 207379: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 60 mph and train B is traveling at 70 mph. Train A passesa station at 12:20 P.M. If train B passes the same station at 12:32 P.M., at what time will train B catch up to train A?"
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Question 207379: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 60 mph and train B is traveling at 70 mph. Train A passesa station at 12:20 P.M. If train B passes the same station at 12:32 P.M., at what time will train B catch up to train A?"
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Question 207565: simplify -9[-78 - (-83c- 55)]= ?
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Question 207571: 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 2003, x=6 corresponds to 2006 and so on. Predict the number of gun deaths in 2006 and 2008. In what year will the number of gun deaths be 9383?
Gun deaths in 2006
Gun deths in 2008
Predicted number of gun deaths will be 9383 in the year


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Question 207804: kelly had 12 dollars and spent x dollars. ami had 6 dollars and collected x dollars. the two girls then had the same amount of money. form an equation and solve it to determine the value of x.
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Question 207840: Use the intercepts and graph the equation.
x + 4y = 8

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Question 207838: Solve: -2x > 1/9
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Question 207838: Solve: -2x > 1/9
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Question 207803: if four shirts and five jerseys cost $370, calculate the cost of a shirt given that the cost of a jersey is $30.
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Question 207835: Solve: 5/8x + 1/16x = 5/16 + x
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Question 207898: Graph the equation using slope and the y-intercept.
y= 5/3x + 4

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Question 207761: I have received the solution that you sent to me..thanks a lot. but i need again your help..ive been trying to solve this a lot of times but it seems that my knowledge is not yet enough...can you help me solve these two problems??
1)A water tank is supplied by pipes A and B and emptied by pipe C. If the pipes are open, the tank can be filled in 15 hours. If the tank is full and pipes A and C are open, the tank can be emptied in 10 hours. If the tank is full and pipes B and C are open, the tank can be emptied in 6 hours. If pipe A supplies 50 more liters a minute than pipe B and the capacity of the tank is 45 000 liters, find the number of liters that pass through each pipe per minute.
2)A contractor worked for 7 days after which he sought the help of his son and together they finished a painting job in 5 days. Had he sought the help of his son 3 days after he started working, they would have finished the job in 7 days. How long would it take each to finish the job alone?
Im hoping for an immediate response, thanks a lot.godbless

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Question 207910: Two cars leave City A st the same time to travel to City B. One car travels at 72 km/h and other at 78 km/h. If the slower car arrives 20 min. after the faster car, how far apart are City A and City B?
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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