35 Answered Questions for the topic Systems
application problem with a linear function
Suppose that the credit remaining on a phone card (in dollars) is a linear function of the total calling time (in minutes ). When graphed, the function gives a line with a slope of -0.15. There is...
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stuck again with percentage question
A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 65% salt and Solution B is 80% salt. She wants to obtain 150 ounces...
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I am not great at percentage problems, so I want someone help with this question
The Royal Fruit Company produces two types of fruit drinks. The first type is 40% pure fruit juice, and the second type is 100% pure fruit juice. The company is attempting to produce a fruit drink...
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A question about (Solving a tax rate or interest rate problem using a system of linear equations)
A theater group made appearances in two cities. The hotel charge before tax in the second city was $1500 lower than in the first. The tax in the first city was 6.5%, and the tax in the second city...
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A question about (Solving a tax rate or interest rate problem using a system of linear equations)
Last year, Shen had $20,000 to invest. He invested some of it in an account that paid 9% simple interest per year, and he invested the rest in an account that paid 7% simple interest per year....
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A question about (Solving a distance, rate, time problem using a system of linear equations)
Two buses leave a station at the same time and travel in opposite directions. One bus travels 13 mih faster than the other. If the two buses are 945 miles apart after 7 hours, what is the rate of...
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my question about (Solving a value mixture problem using a system of linear equations)
Two mechanics worked on a car. The first mechanic charged $105 per hour, and the second mechanic charged $110 per hour. The mechanics worked for a combined total of 15 hours, and together they...
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my question about (Solving a value mixture problem using a system of linear equations)
A family has two cars. During one particular week, the first car consumed 40 gallons of gas and the second consumed 15 gallons of gas. The two cars drove a combined total of 1825 miles, and...
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04/30/21
Find the complete solution of the system of linear equations.
Find the complete solution of the system of linear equations. Express your answer in terms of t where x=x(t), y=y(t), and z=t. { x + 4y - 2z = -3 2x - y + 5z = 12 8x + 5y + 11z = 30 }(x, y, z) =...
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01/08/21
System of Equations help (Urgent)
I came across this question but I could not figure it out. Could you please help me and explain how to find the answer? Thanks! A school's students sold masks for $10 and face shields for $15...
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System of Equations help (Urgent)
I came across this question but I could not figure it out. Could you please help me and explain how to find the answer? Thanks!Jack solved a system of equations and ended up with 3 = 5, without...
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What are the weights of the five boxes?
A shipping manager wants to determine the weight of five boxes. Each weighs a different integer amount less than 100 kg. Unfortunately, the only scales available measure weights greater than 100...
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How would I solve a system of equations that involve logs?
I'm encountering a problem with solving this system where I can't quite figure out what direction I should be going to start this off. Here are the equations. (logx)(logy) - 3log5y - log8x =...
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02/05/19
Math lab homework
A local business wants to donate $3000 in graduation scholarships. They are looking to split this amount into a math award and a science award, and want the math award to be worth
2
3
of the...
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What are the maximum & minimum values for f(x, y) = 3x - 2y using the given system of inequalities?
What are the maximum & minimum values for f(x, y) = 3x - 2y using the given system of inequalities?3x + 4y ≥ -82y - 5x ≥ -4y ≤ 4
Graphing a line given its slope and y-intercept.
slope: 8 y intercept: -8
Systems
10/29/18
Solve each system with substitution.
-4x + y =6-5x - y =21Please help us understand this for an 8th grade algebra class.
Systems
09/21/17
rate of the slower train and faster train
Two trains leave towns 744mi apart at the same time and travel toward each other. One train travels 10 /mih slower than the other. If they meet in 4 hours, what is the rate of each train?
Systems
03/28/17
the sum of two numbers is 47 and the difference is 15. What are the numbers?
i need help solving for this problem because i am very confused on it
01/25/17
(WORD PROBLEM) Solving Systems
A bicyclist heads east at 19 km/h. After she has traveled 22.5 kilometers, another cyclist sets out in the same direction going 28 km/h. About how long will it take the second cyclist to catch up...
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Systems Math
01/25/17
Solving Systems (Problem Solving)
(SOLVING SYSTEMS) the length of a rectangle is 5 times its width. The perimeter is 84. What system of equations can be solved to find its length and the width of the rectangle? And why?
I am...
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Systems
01/10/17
Writing a system of solutions
A library contains 2000 books. There are 3 times as many nonfiction books as fiction books. Write and solve a system of equations to determine the number of nonfiction and fiction books.
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