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

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Question 175060: If 6 is added to a number and then subtracted from the same number, the product of the sum and the difference is 189.What is the number?
Click here to see answer by Edwin McCravy(8909)

Question 175061: The difference between two positive numbers is 4 .If twice the number is added to three times the smaller ,the sum is 53.Which are the steps to the solution?
Click here to see answer by Mathtut(3670)

Question 175063: The area of a rectangle is the product of its length and width, and equals 1062.If the length is 5 more tthan three times the width and of the rectangle.
Click here to see answer by josmiceli(9697)

Question 175232: I can't figure out the following equation:
Paul jogged half as many miles (mi) as Lucy and 7 less than Isaac. If the three ran a total of 23 MI, how far did each person run?
Click here to see answer by gonzo(654)

Question 175412: If 25 is added to three times of a number 52 is obtained. find the numbers?
Click here to see answer by EMStelley(187)

Question 175419: a father is now four times as old as his son. If the sum of their ages ten years ago was sixty. find thrie present ages
Click here to see answer by rapaljer(4667)

Question 175418: a father is now four times as old as his son. If the sum of their ages ten years ago was sixty. find thrie present ages
Click here to see answer by rapaljer(4667)

Question 175416: 23.5x^2+3.25x+15.6=0
Click here to see answer by stanbon(57387)

Question 175441: who will feel colder: a person in Minneapolis at 10°F with a 15-mph wind or a person in Chicago at 20°F with a 25-mph wind.

Click here to see answer by Mathtut(3670)

Question 175467: Define A@B to be A/B + (A x B). What is the value of 20@(4@2)?
Click here to see answer by jim_thompson5910(28598)

Question 175467: Define A@B to be A/B + (A x B). What is the value of 20@(4@2)?
Click here to see answer by Mathtut(3670)

Question 175474: An angry construction worker throws his wrench downward from a height of 128 feet
with an initial velocity of 32 feet per second. The height of the wrench above the ground after t seconds is given by S(t)= - 16t - 32t - 128.
a) What is the height of the wrench after 1 second?
b) How long does it take for the wrench to reach the
ground?

Click here to see answer by ankor@dixie-net.com(15660)

Question 175468: Five Balls are numbered 1 through 5 and placed in a bowl. Josh will randomly choose a ball from the bowl, look at its number and then put it back into the bowl. Then Josh will again randomly choose a ball from the bowl and look at its number. What is the probability that the product of the two numbers will be even greater than 10? Express your answer as a common fraction.
Click here to see answer by Fombitz(13828)

Question 175723: A car purchased for $20,000 depreciates annually at a rate of 13%
a)write an equation that models the value of the car
V(t) = 20000*0.87^t
--------------------------
b)predict the value of the car after 6 years
V(6) = 20000*0.87^6 = $8672.52
====================================
Cheers,
Stan H.

Click here to see answer by stanbon(57387)

Question 175771: point A (-4,1) is in the standard (x,y) coordinate plane. What must be the coordinates of point B so that the line x=2 is the perpendicular bisector of line AB?

Click here to see answer by stanbon(57387)

Question 175952: When asked how old he is, a boy replied: " I am twice older than I was 5 years ago." How old is he now?

Click here to see answer by psbhowmick(529)

Question 176057: In a club, the ratio of boys to girls is 7:8. The ratio of one less than the number of girls to the total number of members is 1:2. How many boys and how many girls are in the club?
Click here to see answer by Mathtut(3670)

Question 176128: find 3 consecutive even integers such that the sum of the smallest and the largest integer is equal to 36.

Click here to see answer by vleith(2825)

Question 176076: Jasmine is deciding between two cell-phone plans. The first plan has a $50 sign-up fee and costs $20 per month. The second plan has a $30 sign-up fee and costs $25 per month. After how many months will the total costs be the same? What will the be? If Jasmine has to dign a one-year contract, which plan will be cheaper?
Click here to see answer by EMStelley(187)

Question 176291: The cheerleaders sold foam fingers for $5 and spirit bracelets for $4. They sold 40 more foam fingers than bracelets, and they earned $965. Write a system of equations to describe the situation and solve this system using at least two different methods and explain each method.
so far this is what i have and i'm not sure if its correct can't get past anything else.
5.00x+4.00y=965
x+y=40 more foam fingers
Click here to see answer by Edwin McCravy(8909)

Question 176310: Find two numbers whose sum is 64 ans whose difference is 14 the two numbers are x and y
Click here to see answer by EMStelley(187)

Question 176333: Two rainstorms occured in one week in a certain area in the first storm 30mL of rain fell per hour, and in the second storm 15 mL of rain fell per hour. Rain fell that week for a total of 45 hours for a total rain fall of 975 mL how long was each storm.

Thank you
Click here to see answer by MathTherapy(1425)

Question 176339: Find two numbers whose sum is 65 and such that one is 4 times as large as the other.

Click here to see answer by user_dude2008(1861)

Question 176332: Two rainstorms occured in one week in a certain area in the first storm 30mL of rain fell per hour, and in the second storm 15 mL of rain fell per hour. Rain fell that week for a total of 45 hours for a total rain fall of 975 mL how long was each storm.

Thank you
Click here to see answer by ptaylor(2048)

Question 176337: Flying against the jetstream, a jet travels 4440km in 6 hours. Flying with the jetstream, the same jet travels 8540 km in 7 hours. What is the speed of the jet in still air, and what is the speed of the jetstream?

Click here to see answer by Fombitz(13828)

Question 176334: A child in an airport is able to cover 339 meters in 3 minutes running at a steady speed down a moving sidewalk in the direction of the sidewalk's motion. Running at the same speed in the direction opposite to the sidewalk's movement, the child is able to cover 308 meters in 4 minutes. What is the child's running speed on a still sidewalk, and what is the speed of the moving sidewalk?

Click here to see answer by ankor@dixie-net.com(15660)

Question 176336: 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 75 . The first car has consumed 25 gallons during that week, and the second has consumed 35 gallons, for a total of 2275 miles driven by the two cars combined. What was the average gas mileage obtained by each of the two cars in that week?

Click here to see answer by ankor@dixie-net.com(15660)

Question 176432: Hey how would you set up this equation?
Istas rides her bicycle down a hill. For every kilometer that she rides, her altitude changes by -9m. What is Istas’s altitude relative to her starting point after she rides 7km?
I’m thinking it would be (-9)(7)
Since the rider is going down hill, then would that make the distance a negative number or positive number?
A) 16m
B) -16m
C) 63m
D) -63m

Click here to see answer by solver91311(16897)

Question 176462: can you help with this problem:
ten gallons of a 30% acid mixture is obtained by mixing a 20% solution with a 50% solution. How much of each must be used?
i've tried creating two linear equations (one for total volume and one for concentration) but i don't know where to go from there.
Click here to see answer by Mathtut(3670)

Question 176487: During a sale an automobile dealer sold 69 cars and trucks. If she sold 27 more cars than trucks how many trucks did she sell?
Click here to see answer by Mathtut(3670)

Question 176557: At a restaurant, one hamburger and two orders of fries costs $2.50. Two hamburgers and three orders of fries costs $4.25. At this rate, find the cost of one hamburger and one order of fries.
Click here to see answer by Mathtut(3670)

Question 176643: How would you set up this equation
Steve gave 195 water balloons to the people who came to a summer party. Each person received 15 balloons. Which equation can be used to fine n, the number of people who came to the party?
A 195/n=15
B 15=n/195
C 195=15/n
D n/15=195

Click here to see answer by gonzo(654)

Question 176642: I would like to see how you set up this equation?
A soccer team held a car wash to raise money. They earned 6.50 for each car they washed. The team raised a total of 234.00 by washing cars. Which equation can be used to solve for n, the number of cars the team washed?
A 6.5= 234/n
B 6.5/n=234
c. 234 = n/6.5
d. n/234=6.5
Click here to see answer by gonzo(654)

Question 176649: A stamp collection consists of 3, 8, and 15 cent stamps. The number of 8 cent stamps is one less than triple the number of 3 cent stamps. The number of 15 cent stamps is six less than the number of 8 cent stamps. The total value of all the stamps is $2.47. Find the number of 8 cent stamps in the collection.
Click here to see answer by ankor@dixie-net.com(15660)

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.
Click here to see answer by ankor@dixie-net.com(15660)

Question 176734: find two numbers whose sum is 55 and whose difference is 15 let the numbers be x and y thank you
Click here to see answer by checkley75(3666)

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 checkley75(3666)

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(15660)

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)

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?

Click here to see answer by Mathtut(3670)

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