100 Answered Questions for the topic linear systems

Linear Systems

09/16/16

word problems
suppose an antique car club publishes a newsletter. expenses is $.35 for printing and mailing each copy, plus $770 for research and writing. The price of the news letter is $.55 per copy. How many... more
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09/14/16

Excel solver word problem
Hi there I need help modeling this problem. I cant figure out how to set it up in excel solver. Norman Bates is the General Manager of the Bates Motel. Each evening, he visits people in their... more
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Linear Systems

09/01/16

-2x + 3y = 7.5, 7x - 2y = -2.5
Is this or not a Linear System and why?
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Linear Systems

07/31/16

How many pounds of each must be mixed together to get 10 pounds of this new mixture that will sell for $5.60 per pound?
A candy store wants to mix two types of candies that will create a mixture that will sell for 5.50 per pound. The first type of candy costs $4 per pound, and the second costs $6 per pound. How many... more
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Linear Systems

04/18/16

is y(t) = 3 f(t-2) +4 a LTI system?
i just had a pop quiz in one of my classes, i am wondering if i got the answers correct (the solution hasn't been posted online yet).   y(t) is the output f(t) is the input   y(t) = 3 f(t-2)... more
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Linear Systems Linear Equations

04/14/16

need help : t+2t-8=5-10t
 i need help with this 
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Linear Systems

03/09/16

If an order of french fries costs $1.75, what are the prices of a hot dog and a veggie burger?
The Crawford and Smith families ordered lunch at the football game. The Crawford family ordered 4 hot dogs, 3 veggie burgers, and 7 orders of french fries, and paid $36. The Smith family ordered 6... more
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Linear Systems Algebra Equations

03/07/16

Linear Systems
A total of 450 shares worth $2100 was invested in the stock market. Some "World Oil" shares were bought at $7.50 each. Some "Zinco Mines"  were bought at $3.25 each. How many shares of each company... more
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Linear Systems

03/02/16

Find the length and width of the rectangle.
The perimeter of a rectangle is 36 meters. The length of the rectangle is 4 meters longer than the width. 
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Linear Systems

03/02/16

How much of each type of ticket was sold?
The school sold 120 tickets to last year's carnival. Student tickets cost $2.50 and adult tickets cost $4.00. Total ticket sales equaled $345. 
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Linear Systems

03/02/16

What are the dimensions of the rectangle?
A rectangle has a perimeter of 88 inches. Its length is two more than twice its width.
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Linear Systems

03/02/16

What are the numbers?
The sum of two numbers is 56. The second number is 4 less than 3 times the first number.
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Linear Systems

01/30/16

Clive is training to run a marathon. Each day he runs and walks a total of 24 km. If he runs 5km more than twice as far as he walks, how many km does he run
I know the first equation is w+r=24 (w rep. walking and r rep. running) but the second equation is giving me difficulties 
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Linear Systems

12/09/15

Solve x,y,z
X+y+z=4 X+y+2z=5 4x+4y+6z=18   Solve for x,y,z
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Linear Systems

11/17/15

Linear systems, Equations and inequalities
Arthur has sold candy bars in two different sizes, small and large. He has sold 120 bars in total and made $186.00in total. If small candy bars cost $1.25 and large cost $1.75, how many of each... more
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Linear Systems

11/05/15

Linear Systems word problem
How many pounds of peanuts at $2.50 per pound and cashews at $3.60 per pound should be used to obtain 100 pounds of mixed nuts valued at $316.00?
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Linear Systems

11/05/15

Linear system word problem
A chemical storeroom has a 90% acid solution and a 40% acid solution. How many centiliters of the 90% solution should be added to the 50 centiliters of the 40% solution to yield a 50% solution?
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Linear Systems

10/22/15

One-half of bob's age plus one-third of terri's age is 24. One-fifth of bob's age less one-ninth of terri's age is 3. How old is terri?
One-half of bob's age plus one-third of terri's age is 24. One-fifth of bob's age less one-ninth of terri's age is 3. How old is terri?
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Linear Systems

10/21/15

Your start up costs for the business are $1250 and each filter kit costs $40. If you sell the filters for $60, how much must you sell to break even?
must be solved using substitution
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10/15/15

Linear Systems Word Problem
Josie wants to buy Internet access. One service provider charged a flat rate of $34.95/month. A second charges $25/month plus $0.33/hour. For what number of hours per month should Josie choose the... more
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09/22/15

Two gears have a total of 89 teeth. One has 4 less than twice the number of teeth the other gear has. How many teeth do each gear have?
Two meshing gears in a printer have a total of 89 teeth. One of the gears has 4 teeth less than twice the number of teeth of the other gear. How many teeth does each gear have?
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09/22/15

Straight 10% commission or $250 per month plus 5% commission. Write an equation and solve so the plans both earn the same amount.
A sales clerk has to choose between two salary options: Straight 10% commission or $250 per month plus 5% commission. Write an equation and solve so the plans both earn the same amount. 
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Linear Systems

07/29/15

find how many kilometers they traveled by bike.
George and Carmen went on a bike ride. they took a bus to their starting point, and then biked the rest. they traveled 275 kilometers in total, and they biked 55 kilometers more than they were... more
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Linear Systems

07/18/15

please help me
For the equation 2x+3y=18, find the missing values of the following ordered pairs   (3,?)   (-6,?)   (0,?)   (?,0)   (?.-4)   (?,2)
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Linear Systems

06/03/15

how do I set this up?
A mixture containing 6% tartaric acid is to be mixed with 2 quarts of a mixture that is 15% tartaric acid. How much of the 6% solution should you use to obtain a solution that is 12% tartaric acid?
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