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

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Question 214951: The length of a rectangular region is 20 meters less than four times its width. If the perimeter of the region is 135 meters, find the dimensions of the region.
Click here to see answer by drj(1380)

Question 214986: I need help with sloving quadractic equations by factoring:

Click here to see answer by jim_thompson5910(13787)

Question 214986: I need help with sloving quadractic equations by factoring:

Click here to see answer by drj(1380)

Question 214147: For Halloween, Mr. Olowitz bought 8 bags of candy bars and 4 bags of lollipops for a total cost of $51.56. Later that day he realized he didn’t have enough candy and went back to the same store and bought 3 more bags of candy bars and 3 more bags of lollipops at the same prices for a total cost of $23.82. While in the store on his second trip, Mr. Olowitz ran into his neighbor, Mrs. Pinion. If
Mrs. Pinion bought 3 bags of candy bars and 11 bags of lollipops at the same prices, what was her total cost?
Click here to see answer by elima4(15)

Question 215095: It took a patrol boat 5 hours to travel 60km up a river against the current, and 3 hours for the return trip with the current. Find the speed of the boat in still water and the speed of the current.
Can you please solve this, i cant seem to figure the answer when they mention still water. please can you show me how you do it please!
please and thank you
Click here to see answer by ankor@dixie-net.com(6691)

Question 215241This question is from textbook Applied Calculus
: A manufacturer sells a product at $8.80 per unit, selling all produced. The fixed cost is $2,160 and the variable cost is $7.25 per unit.
(a) At what level of production will there be a profit of $4,100?
(b) At what level of production will there be a loss of $1,200?
(c) At what level of production will the break-even point occur? This question is from textbook Applied Calculus

Click here to see answer by nerdybill(2446)

Question 215445: A rectangle is 6 times as long as it is wide. The perimeter is 100 cm. Find the dimensions of the rectangle. Round to the nearest tenth if necessary.
Click here to see answer by drj(1380)

Question 215570: Roman paid $150 to join a handball club. He pays an additional $15 every time he uses one of the club’s handball courts. Write an equation that describes Roman’s total cost for playing handball as a function of the number of times he plays. Let C = the total cost and n = the number of times he plays.
Click here to see answer by Alan3354(6059)

Question 215565: Marc sold 563 tickets for the school play. Student tickets cost $4 and adult tickets cost $6. Marc’s sales totaled $2840. How many adult tickets and how many student tickets did Marc sell?
Click here to see answer by drj(1380)

Question 215562: The Modern Grocery has cashews that sell for $3.75 a pound and peanuts that sell for $2.75 a pound. How much of each must Albert, the grocer, mix to get 40 pounds of mixture that he can sell for $3.00 per pound? Express the problem as a system of linear equations and solve using the method of your choice.
Click here to see answer by checkley77(7035)

Question 215658: Harry invested a total of $20,000.00 part at 7% and part at 10%. How much did he invest at each rate if the total interest earned in one year was $1640?
Click here to see answer by checkley77(7035)

Question 215549This question is from textbook Algebra Structure and Method Book 1
: The Audio Outlet purchased 60 cassette recorders, gave away three in a contest, and sold the rest at twice their purchase price. If the store"s total profit was 1188, how much did the store sell each recorder for?This question is from textbook Algebra Structure and Method Book 1

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

Question 215649: James works two part time jobs. one pays $7/hr and the other pays $10/hr. Last week he worked a total of 32 hours and made a total of $278. How many hours did he work at each job?
Click here to see answer by checkley77(7035)

Question 215677: An auto averaged 40 mph for part of a trip and 50 mph for the remainder.
If the 5-hour trip covered 210 miles, for how long did the car average 40mph?
Click here to see answer by drj(1380)

Question 215907: A technician measures the current in a circuit to be -6.1 ampers and the resistance is 7 ohms. find the voltage.
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Question 215920: The length of the rectangular tennis court at wimbledon is 6 feet longer than twice the width. If the courts perimeter is 228 feet,what are the courts dimensions
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Question 215981: 5 x 3^8 / (6 x 10^4)
Click here to see answer by checkley77(7035)

Question 216367: find the equation of the line in standard form through the point (-8,5) with slope -1/4.
Please tell me if i am working this out correctly.
5=-1/4(-8)+b
5=4/2+b
multiply by 2
14/4=b
b=7
Click here to see answer by Alan3354(6059)

Question 216348: how do i solve Seven less than four times a number equals 13?
Click here to see answer by bob123132(33)

Question 216479: The problem is this:
3x - 5y = -9
5x - 6y = -8
I believe that I did the first part of this problem correct but can not figure out how to solve for x. Please let me know if solving for y is correct and how to solve for x
15x - 25y = -45
15x - 18y = -24 I multiplied the first equation by 5 and the second equation by 3
0 - -7y = -21
I divided both by -7
y = 3
Click here to see answer by solver91311(5072)

Question 216576: The shoe store has twice as many black shoes as it does brown shoes. The total number of shoes is 66. How many brown shoes are there?

Click here to see answer by drj(1380)

Question 216556: The total number of students absent from B. Jones High School on a Monday after a significant snow fall was 218. The total attendance that day was 1487. How many students, in total, attend B. Jones High School?
Click here to see answer by drj(1380)

Question 216522: a log 78 feet is to be cut into three peices of varying lengths. The longest piece is to be 4 times the length of the shortest peice and the middle sized piece is to be 6 feet less than twice the length of the shortest piece. How long is the shortest piece?
Click here to see answer by ankor@dixie-net.com(6691)

Question 216840: Linear programming solve and graph
Lumber Company can convert logs into either Lumber or plywood. In a given week the mill can turn out 400 units of production, of which 100 units of lumber and 150 units of plywood are required by regular customers. The profit on a unit of lumber is $20 and on a unit of plywood is $30. How many units of each type should the mill produce in order to maximize profit.
I'm looking for an answer on how to do the calculations, step by step, and not just a fast answer.
Thanks
Click here to see answer by stanbon(26259)

Question 216916: A trapezoid has an area of 117 square feet and a height of 9 feet. One base is 4 feet shorter than the other base. How long is each base? Write an equation and solve it.
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Question 217108: The length of a rectangular photo is 2 inches greater than the width. The perimeter is 20 inches. Find the length and width.

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Question 217226: 1) Solve the system of linear equations

a) What is the value of z?
b) What is the value of x?
c) What is the value of y?
Click here to see answer by ichudov(404)

Question 217445: there are 7066 known nesting pairs of bald eagles in the lower 48 states today. this is 6649 more pairs than in 1963, howmany nesting pairs of bald eagles were there in the lower 48 states in 1963?
Click here to see answer by Theo(671)

Question 217463: Can you show the work as well as the problem please.
Problem:
There are 55 blades of grass in 1 in.^2 of lawn. There are 230 blades of grass in 4 in.^2 of the same lawn. How many blades of grass are in 3 in.^2 of lawn?
Click here to see answer by Theo(671)

Question 217466: the modern grocery store has cashews that sell for 4$ a pound and peanuts that sell for $2.25 a pound. how much of each must albert mix to get 70 pounds of mixture he can sell for $3 a pound
Click here to see answer by checkley77(7035)

Question 217532: If a moving van travels at 35MPH and the family car travels at 50 MPH. How long will it take the car to catch up, if the car leaves 45 minutes after the van?
Click here to see answer by checkley77(7035)

Question 218283: find m and b in f(x)=mx+b such that f(2)=2 and f(-2)= -2.
I am stumped!!!
Click here to see answer by drj(1380)

Question 218369: Isabel invested $8000 dollars, part at 9% per annum and the remainder at 4% per annum. After one year, the total interest from these investments was $420. How much did she invest at each rate?
Click here to see answer by checkley77(7035)

Question 218719: A store is offering a 15% discount on all items. Write a linear equation giving the sale price "S" for an item with a list price "L"
Click here to see answer by rapaljer(3620)

Question 218785: Kristina makes $8.50 per hour. She makes double time for every hour that she works on Saturday. If she works forty hours during the week and earns $425, how many hours did she work on Saturday?

Click here to see answer by rfer(2688)

Question 218787: A total of 366 tickets were sold for the school play. The number of student tickets sold was tow times the number of adult tickets sold. How many adult tickets were sold?
Click here to see answer by josmiceli(3003)

Question 218795: 5 times the sum of a number and 2 is 11 less than 8 times that number.
Click here to see answer by chibisan(120)

Question 219001: Tim had $5.03 in quarters, nickels, dimes, pennies, and half-dollars in a desk drawer. He has five more nickels than quarters, the number of pennies is two-thirds the number of nickles, there are half as many dimes as nickels.How many coins of each type does he have?
Click here to see answer by josmiceli(3003)

Question 219604: I am very lost with this problem. Here it is: Arnie Waldman has chosen a workout that combines weight training and aerobics. If he does 30 min of weight training, followed by a 30-min aerobics class, he will burn a total of 374 calories. If he burns 12/5 as many calories doing aerobis as doing weight traing, how many calories will he burn in each activity?
Click here to see answer by stanbon(26259)

Question 219626: The sum of two consecutive checkbook check numbers is 357. What is the numbers? Can you please help me figure this problem out?
Click here to see answer by stanbon(26259)

Question 219626: The sum of two consecutive checkbook check numbers is 357. What is the numbers? Can you please help me figure this problem out?
Click here to see answer by TrackStar18(1)

Question 219673: a rectangular soccer field has perimeter 360 yd. its length is 20 yd more than its width. what are the dimensions?
Click here to see answer by rfer(2688)

Question 219686: Rise and run: If the rise is 3/2 and the run is 5, then what is the ratio of the rise to the run?
Click here to see answer by nerdybill(2446)

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