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ludmilkaskok [199]
3 years ago
12

A furniture shop refinishes chairs. Employees use one of two methods to refinish each chair. Method I takes 0.5 hours and the ma

terial costs $9. Method II takes 2.5 hours, and the material costs $7. Next week, they plan to spend 199 hours in labor and $1226 in material for refinishing chairs. How many chairs should they plan to refinish with each method?
Physics
1 answer:
satela [25.4K]3 years ago
4 0

Answer:

method I = 88 chairs

method II = 62 chairs

Explanation:

This problem can be modeled by a system of two linear equations.

Define x as the number of chairs refinished by method I and y by method II

The sum of hours spent on both methods should equal 199 and the sum of total material cost should equal $1226, therefore:

0.5x + 2.5y = 199

9x+7y = 1226

Multiplying the first equation by -18 and adding it to the second equation we can solve for the value of y:

9x+7y +(-9x - 45)= 1226+(-3582)\\y=\frac{2356}{38} = 62\\

We can now apply the value of y found to the first equation and solve for x:

0.5x+2.5*62 = 199\\x=\frac{199 - (2.5*62)}{0.5} = 88

Therefore, they should refinish 88 chairs with method I and 62 chairs with method II

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Answer:

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3 years ago
What is the potential difference between the plates of a 3.7-f capacitor that stores sufficient energy to operate a 75.0-w light
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The potential difference between the plates will be 1552 Volts.

<h3>What is a potential difference?</h3>

Voltage, or the difference in electric potential between two points, is defined as the amount of labor per unit of charge needed to move a test charge between the two points.

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1 year ago
An object is thrown directly up (positive direction) with a velocity (vo) of 20.0 m/s and do= 0. How high does it rise (v = 0 cm
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The object rises to a height of 20.4 m. So option C is correct.

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To make gravity smaller, decrease mass or increase distance.
To make gravity bigger, increase mass or decrease distance.
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