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 489413: A pond is enclosed by a wooden deck that is three feet wide.the fence is sorrounding the deck is 100 feet long.
if the pond is square,what are its dimensions?

Click here to see answer by jorel1380(2518) About Me 

Question 489560: The sum of two numbers is 15. Three times one of the numbers is 11 less than five times the other.Find the numbers
Click here to see answer by unlockmath(1599) About Me 

Question 489916: Table 10 contains state (both in millions) for the states with population over 1 million in 2006. The regression model for this data is y = 0.72x + 0.03 where x is the state population and y is the number of licensed drivers in the state.
B) If the population of Idaho in 2006 was about 1.5 million, use the model to estimate the number of licensed drivers in Idaho in 2006 to the nearest thousand.
C) If the number of licensed drivers in Rhode Island in 2006 was about 0.74 million, use the model to estimate the population of Rhode Island in 2006 to the nearest thousand.
Please help me....

Click here to see answer by deborabr(181) About Me 

Question 490029: Cruz decides that he would like to purchase some CD's. He knows that a new CD cost $15 and a used CD cost $8. If he bought 4 times as many used CD's as he did new CD's and used and spent a total of $153, what are the equations?
Click here to see answer by stanbon(57347) About Me 

Question 490125: The sum of two numbers is 4 less than twice the larger. If the larger is decreased by three times the smaller, the result is -20. Find the numbers.
Click here to see answer by stanbon(57347) About Me 

Question 490343: BUILDINGS: The Sears Tower in Chicago is 1450 feet tall. The John Hancock Center in Chicago is 1127 feet tall. Suppose you are asked to build a small-scale replica of each. If you make the Sears Tower 3 meter tall, what would be the approximate height of the John Hancock replica? Round your answer to the nearest hundredth.
Click here to see answer by josmiceli(9678) About Me 

Question 490368: A loaf of a bread and 6 rolls cost 100.00 . At the same prices, 2 loaves of bread and 3 rolls cost 128.00 . How much does one loaf and 3 rolls cost? How much does one loaf cost? What about one roll?
Click here to see answer by stanbon(57347) About Me 

Question 490372: What is the smallest square number that is the sum of two square numbers. Find two square numbers numbers whose sum is 100. How many square numbers are there between 100 and 1000?

Click here to see answer by MathLover1(6632) About Me 

Question 490339: I want to rent 65 thousand square feet for 12 dollars per foot per month. What is the figure per month i should charge?

Click here to see answer by rfer(12660) About Me 

Question 490379: You have two pails, one that will hold 4 quarts and one that will hold 9 quarts. There are no markings on either pail to indicate smaller quantities. How can you measure out 6 quarts of water, using these two pails?
Click here to see answer by scott8148(6628) About Me 

Question 490532: 4x-12y=6
15x4y=4
and
2x+5y=33.5
3x-10y=38

Click here to see answer by mananth(12270) About Me 

Question 490589: f(x)=(4-3x).f(3) how do i solve
Click here to see answer by nerdybill(6958) About Me 

Question 490789: Richard has a piggy bank containing only dimes and quarters. He has seven more quarters than dimes. If the total value of the coins is $3.85, how many dimes and quarters does Richard have?
Click here to see answer by stanbon(57347) About Me 

Question 490790: Investment: $20,000 Annual Income: $1,280
x = T-Bills, 5% yeild y = T-Bonds, 7% yeild z = Corp Bonds, 9% yeild
amount invested in t-bills must be 2 times the amount invested in Corp Bills.
Find the amount in each investment.
I have two of the three equations:
x+y+z= 20,000
5x+7y+9z=128,000
What would the third equation be?

Click here to see answer by stanbon(57347) About Me 

Question 490792: need help solving theequation using the quadratic formula
x^2+6x-10=0

Click here to see answer by stanbon(57347) About Me 

Question 491050: A rectangle serving tray is twice as long as it is wide. the area of the tray is 338in^2. Find the dimensions of the tray.
Click here to see answer by Alan3354(30993) About Me 

Question 491051: The length of a leg of a right triangle is 15 ft. The length of the hypotenuse is 5 ft longer than the other leg. Find the length of the hypotenuse and the second leg.
Click here to see answer by Alan3354(30993) About Me 

Question 491436: For a certain event, 821 tickets were sold, for a total of $1933. If students paid $2 per ticket and nonstudents paid $3 per ticket, how many student tickets were sold?

Click here to see answer by MathLover1(6632) About Me 

Question 491508: Suppose you have a budget of 450 dollars for one month. You would like to buy some textbooks and CDs.
The average cost of a book is 55 dollars each and that of a CD is
12 dollars each. Let x denote the number of books you buy and y denote the
number of CDs that you buy.
This is what I have tried and I just cannot get the right answer.
Write the equation of your budget constraint in the form y=mx+b, where m and b are some numbers.
y=55x+450 and
y=4.58x+37.5

Click here to see answer by oberobic(2304) About Me 

Question 491523: A cattle rancher has 2600 feet of fencing
that will be used to enclose a rectangular feed lot.
If one of the dimensions of the feed lot is
x,find a formula for the area y of the feed lot (in square feet)
as a function of x.

Click here to see answer by stanbon(57347) About Me 

Question 491770:  On a recent trip to CA, we averaged 50 miles per hour. On the return trip we averaged 60 miles per hour. What do you think the average speed of the trip to CA and back was? Algebraically determine the average speed of the trip to CA and back.
Click here to see answer by Alan3354(30993) About Me 

Question 493118: it costs $45 to manufacture one tent. each tent sells for $250. Write a function to represent the profit from manufacturing and selling x tents.
Click here to see answer by cw&mj101(1) About Me 

Question 493544: I would like to compare two phone plans from verizon using a graph of a system of linear equations. Plan A includes 450 minutes for $40.00 per month plus a charge of .45 per minute over 450. Plan B includes 900 minutes for $60.00 per month plus a charge of .40 per minute over 900. Solve for a user who averages 1250 minutes per month. Is there a solution set where the points merge? Thanks for taking a look :)
Click here to see answer by ankor@dixie-net.com(15652) About Me 

Question 494462: Suppose that next week you plan to work h hours. Write an expression that models the amount of money you will earn.
Click here to see answer by Alan3354(30993) About Me 

Question 495169: Goran will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $65 and costs an additional .40 per mile driven. The second plan has no initial fee but costs .60 per mile driven. How many miles would Goran need to drive for the two plans to cost the same?
Click here to see answer by rfer(12660) About Me 

Question 495193: A nearby resort rented a certain number of function rooms for 28,800.00 . When the price was reduced by 20.00 per room, 6 rooms were rented. How many function rooms were rented?
Click here to see answer by josmiceli(9678) About Me 

Question 495668: If 120 lollipops cost ninety dollars, how much does one lollipop cost?
Click here to see answer by oberobic(2304) About Me 

Question 495840: if six times a number is increased by 15.35, the result is 12.5 less than the number. what is the number?
Click here to see answer by NirMath4U(7) About Me 

Question 495560: a tourist agency can sell up to 1200 packages for a football game. the package includes airfare, weekend accomodations, and the choice of two types of flights: a nonstop flight or a two-stop flight. The nonstop flight can carry up to 150 passengers and the two-stop flight can carry up to 100 passengers. The agency can locate no more than 10 planes for the travel packages. Each package with a nonstop flight sells for $1200, and each package with a two-stop flight sells for $900. assume that each plane will carry the maximum number of passengers.
A. write a system of linear equalities to represent the constraints.
B. Write an objective function that maximizes the revenue for the tourist agency, and find the maximumrevenue for the given constraints.

Click here to see answer by ankor@dixie-net.com(15652) About Me 

Question 496641: chris earns four times vesna's wage and vensna earns $17 more than dawn. How many dollars does chris earn if their combined wages are $163
Click here to see answer by josmiceli(9678) About Me 

Question 496837: how do i solve this?
In a coordinate system, points A(-2, 3) and B(6, -1) have a midpoint of X. What is the midpoint between A and X?


Click here to see answer by ankor@dixie-net.com(15652) About Me 

Question 497240: Represent the number whose tens' digit is t and whose units digit is u.
I have no idea what the answer is that he is looking for. Is this close and if not what is the answer?
30=t
5=u

Click here to see answer by mananth(12270) About Me 

Question 497525: Amanda leaves with a basket of hard-boiled eggs to sell. At her first stop she sold half her eggs plus half an egg. At her second stop she sold half her eggs plus half an egg. The same thing occurs at her third, fourth, and fifth stops. When she finishes, she has no eggs in her basket. How many eggs did she start with. Answer is 31. What is the formula to figure out how many eggs?
Click here to see answer by josmiceli(9678) About Me 
Question 497525: Amanda leaves with a basket of hard-boiled eggs to sell. At her first stop she sold half her eggs plus half an egg. At her second stop she sold half her eggs plus half an egg. The same thing occurs at her third, fourth, and fifth stops. When she finishes, she has no eggs in her basket. How many eggs did she start with. Answer is 31. What is the formula to figure out how many eggs?
Click here to see answer by htmentor(789) About Me 

Question 497978: At a bake, it cost you $100 to make the baked goods.if you charge $2 for each goodie write an equation that models your total profit.
Click here to see answer by jorel1380(2518) About Me 
Question 497978: At a bake, it cost you $100 to make the baked goods.if you charge $2 for each goodie write an equation that models your total profit.
Click here to see answer by josmiceli(9678) About Me 

Question 498158: The admission tickets to a concert was sold $8 for each adult, and $5 for each child. The number of adult tickets sold was 50 less than twice the number of children's tickets sold. If the total sales amounted to $5,900, how many tickets of each type were sold?
Click here to see answer by lwsshak3(6505) About Me 

Question 498366: A dog is 3/4 its weight plus 3/4 lbs. How many lbs does the dog weigh?
Click here to see answer by KatieMose(5) About Me 

Question 498129: working together, it takes two roofers 4 hours to put a new roof on a portable classroom. if the first roofer can do the job by himself in 6 hours, how many hours will it take the second roofer to do the job by himself?
Click here to see answer by scott8148(6628) About Me 

Question 498715: In a chemistry class, 12 L of a 12% alcohol solution must be mixed with 20% solution to get a 14% solution. how many liters of the 20% solution are needed
Click here to see answer by mananth(12270) About Me 

Question 494655: I beg somebody to please help me with this problem.
Not only do I need to write the answer but also I have to explain HOW I ARRIVE TO THAT RESULT.
So, please, it would be very helpful if I could give me the equation needed to solve it, the result, and the explanation.
I am sorry for asking like too much, but I really need it and I thank you all in advance.
Tom and John share some grapes. The expressions g and 29 - g represent how many grapes each they ate.
How many grapes did they share? EXPLAIN.

Click here to see answer by vazlab(1) About Me 

Question 498778: A child is running on a moving sidewalk in an airport. When she runs against the sidewalk's motion, she travels in seconds. When she runs with the sidewalk's motion, she travels in the same amount of time. What is the rate of the child on a still sidewalk and what is the rate of the moving sidewalk?
Click here to see answer by josmiceli(9678) About Me 

Question 499179: in a class of 35 students the number of girls is two-fifth of the number of boys. find the number of girls in the class.
Click here to see answer by nerdybill(6958) About Me 

Question 499438: On Monday, Mr. Toad bought 10 gourmet flies and 4 gourmet worms for $34. On Tuesday he bought 6 gourmet flies and 12 gourmet worms for $30. Find the price of a gourmet fly and the price of a gourmet worm. (use a 5 step solution with two variables.) I tried working this out. Got 1.30 for the worms and 2.88 for the flies. This doesn't check out. I can guess $3.00 for flies and $1 for worms, it works out with a check, but the problem doesn't set up to that at all. I am lost please help.
Click here to see answer by chessace(471) About Me 

Question 499965: 20-foot piece of string is cut into two peices so that the longer piece is 5 feet longer than twice the shorter piece. find the lengths of both pieces.
Click here to see answer by oberobic(2304) About Me 

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