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 176658: A cyclist traveled at a rate of 32 mph to visit a nearby town. The cyclist averaged 10 mph on the return trip. If the round trip took 6.3 hours, find the distance to the nearby town.
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Question 176734: find two numbers whose sum is 55 and whose difference is 15 let the numbers be x and y thank you
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Question 176748: Find two numbers whose sum is 64 and whose difference is 4 .
(We will call the two numbers x and y .)

I am trying to help my son with some school work but I am not having much luck can yo help?

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Question 176748: Find two numbers whose sum is 64 and whose difference is 4 .
(We will call the two numbers x and y .)

I am trying to help my son with some school work but I am not having much luck can yo help?

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

Question 176747: Flying against the jetstream, a jet travels 4410km in 9 hours. Flying with the jetstream, the same jet travels 7280 km in 8 hours. What is the speed of the jet in still air, and what is the speed of the jetstream?

I saw this question but it was a little different can you help please thanks.

Click here to see answer by ankor@dixie-net.com(6691) About Me 

Question 176776: Suppose a population of initial size 100 grows at the rate of 8% per year forever.
What is the size of the population at the end of year 1?
What is the size of the population at the end of year 2?
What is the size of the population at the end of year 3?
What is the size of the population at the end of year n (for any integer n)?
What algebraic equation would you need to solve to find the number of years x that it would take for our population to reach 200? Use a calculator to solve to x.

Click here to see answer by Mathtut(3670) About Me 
Question 176776: Suppose a population of initial size 100 grows at the rate of 8% per year forever.
What is the size of the population at the end of year 1?
What is the size of the population at the end of year 2?
What is the size of the population at the end of year 3?
What is the size of the population at the end of year n (for any integer n)?
What algebraic equation would you need to solve to find the number of years x that it would take for our population to reach 200? Use a calculator to solve to x.

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Question 176743: In a family there are two cars. The sum of the average miles per gallon obtained by the two cars in a particular week is 50 . The first car has consumed 30 gallons during that week, and the second has consumed 20 gallons, for a total of 1300 miles driven by the two cars combined. What was the average gas mileage obtained by each of the two cars in that week?

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Question 176743: In a family there are two cars. The sum of the average miles per gallon obtained by the two cars in a particular week is 50 . The first car has consumed 30 gallons during that week, and the second has consumed 20 gallons, for a total of 1300 miles driven by the two cars combined. What was the average gas mileage obtained by each of the two cars in that week?

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Question 176788: Two rainstorms occurred in one week in a certain area. In the first storm 15mL of rain fell per hour, and in the second storm 35mL of rain fell per hour. Rain fell that week for a total of 50 hours for a total rainfall of1450 mL . How long was each storm?

My sister asked for my help here but I am not sure if I am doing correctly

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Question 176796: old navy sells t-shirts for $8.00 a piece. They run a special where you can buy 3t-shirts for $20.00. One saturday morning they sold a total of 19 t shirts for a total of 136.00 , how many people took advantage of the special??



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Question 176738: hey I have had this question but not getting it yet here it is with different numbers thanks so much for the help.

Two rainstorms accured in one week in a certain area . In the first storm 15 mL
of rain fell per hour. in the second storm 35 mL of rainfell per hour.rain fell that week for a total of 50 hours for a total rainfall of 1450 ml how long was each storm.

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Question 176801: A motorboat travels 648km in 9 hours going upstream and 588km 6hours going downstream. What is the speed of the boat in still water, and what is the speed of the current?

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Question 176769: I may have already sent this but I was not sure I am having trouble with these word problems.
A motorboat travels 648km in 9 hours going upstream and 588km in 6 hours going downstream. What is the speed of the boat in still water, and what is the speed of the current?

Thank you

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Question 176740: A motorboat travels 648km in 9 hours going upstream and 588km in 6 hours going downstream. What is the speed of the boat in still water, and what is the speed of the current?

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Question 176997: Divide 5x3 – 5x + 1 by x – 3
EXPLAIN WHAT YOU ARE DOING

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Question 176998: Multiply out ( x + 6 )( x3 – x2 – 5x + 1 )
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Question 176903: find the equation of the line that is perpendicular to 3y=4x-12 and passes through the x intercept
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Question 176995: Simplify 3x2 – x [ 4 – 3 ( x – 4 )] = 6x _ x [ 4 _ 3x _ 12 ] = 5x [ 3x _8 ] = 15x _ 4ox
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Question 176996: Multiply as required and collect terms
( x – 4)(2x2 + 4) + ( x + 4)(x3 – 1) – ( x2 – x – 1)

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Question 177232: A two-digit number is three less than the product of four and the
sum of its digits. The tens digit is 4 less than the units digit.
Find the number.
I used 10T + U = 4(T+U) - 3 and T= U-4
was this correct?

I got U=3 when I know T=3 and U=7
Is there a better equation to use?

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Question 177316: A triangle has sides 2x – 5, 3x + 1, and 4x + 2. Find the polynomial that represents its perimeter.
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Question 177312: Divide x3 + 2 x2 + x +12 by ( x + 3)
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Question 177353: World Auto uses the formula p + -3000n + 17,000 to determine the wholesale price for a used Ford Focus, where P is the price in dollars and n is the age of the car in years.
a.) find the price for a Focus that is 1,2, or 3 years old
b.) Find the slpoe and p- intercept for the line
P = -3000n+ 17,000.
c.) Interpret the slope and P -intercept
0 solutions

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Question 177375: A washer a dryer cost $ 600 combined . The price of the washer is 3x the price of the dryer. what is the cost dryer?
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Question 177402: Bob will rent a car for the weekend. He can choose one of two payment plans. The first plan costs 57.98 for two days plus 13 cents per mile. The second plan costs 45.98 for two days plus 18 cents per mile. How many miles does Bob need to drive for the two plans to cost the same?
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Question 177407: Give an ordered pair (x,y)of numbers that satisfy the equation
4x-y=4

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Question 177421: what is the length and the width if the lenght is 8cm more than 4 times the width. And the perimeter is 96cm.
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Question 177430: Multiply. (5a – 3b)2
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Question 177430: Multiply. (5a – 3b)2
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Question 177431: Simplify ( 3x3 – 9x – 3) / ( 3x + 3 )
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Question 177449: Find two numbers whose sum is 65 and such that one is 4 times as large as the other.
(We will call the two numbers and .)

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Question 177406: The surface area S of a right prism is given by
, S=2b+ph
where B is the area of the base, P is the perimeter of the base, and H is the height of the prism.
Solve for .P

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Question 177629: To strengthen a mixture of 10% alcohol to 30% alcohol, how much pur alcohol must be added to 7 L of the 10% solution? Can you how me step by step
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Question 177638: Factor completely 3x^2 + 9x – 6x – 18
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Question 177775:
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Question 177778: How many bushels from a mixture that is 1/3 oats must be added to 480 bushels of a mixture that is 75% corn to get a mixture that will be 70% corn?
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Question 177887: A coin bank contains only qurarters and dimes. The total value of the coins is $10.40. If the dimes were quarters and the quarters were dimes the total value of the coins would be $9.20. Find the total number of dimes in the bank.
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Question 177960: Factor completely 16x^4 – 40x^2 + 9
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Question 177978: Factor 15 + 3y – 5x^2 – x^2y
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Question 177979This question is from textbook Algebra 1
: A migrating elephant herd started moving at a rate of 6 miles per hour. ONe elephant stood still and was left behind. Then this stray elephant sensed danger and began running at a rate of 10 miles per hour to reach the herd. The Stray caught up in 5 min.
How long (in hours) did the Stray run to catch up? How far did it run?
This question is from textbook Algebra 1

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Question 177981: Find a value for k that will make 4x^2 + 6.4 x + k a perfect square. Describe the procedure that you used which requires algebra [that is, not trial and error].


been on this 1 for awhile just can't find the appropiate equation to make it work.

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Question 177981: Find a value for k that will make 4x^2 + 6.4 x + k a perfect square. Describe the procedure that you used which requires algebra [that is, not trial and error].


been on this 1 for awhile just can't find the appropiate equation to make it work.

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Question 177639: Factor completely. 20x^2 – 3x – 9
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Question 178019: Bruce has 5.50 in dimes and quarters. He has 8 more quarters than dimes. How many quarters does Bruce have?
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