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shtirl [24]
3 years ago
12

A furniture company makes large and small chairs. A small chair takes 20 minutes of machine time and 60 minutes of labor to buil

d. A large chair takes 50 minutes
of machine time and 90 minutes of labor to build. The company has 66 hours of labor time and 30 hours of machine time available each day. How many of each
type of chair is built in a day?
Mathematics
1 answer:
bixtya [17]3 years ago
4 0

9514 1404 393

Answer:

  30 small chairs and 24 large chairs

Step-by-step explanation:

Let x and y represent the numbers of small chairs and large chairs built in a day. Then the relations for using available time are ...

  20x +50y = 30×60

  60x +90y = 66×60

Removing common factors, these can be written in standard form as ...

  2x +5y = 180

  2x +3y = 132

Subtracting the second equation from the first gives ...

  2y = 48

  y = 24 . . . . . divide by 2

Using the first equation to find x, we have ...

  2x +5(24) = 180

  2x = 60 . . . . . . . . . . subtract 120

  x = 30 . . . . . . . . divide by 2

The company can build 30 small chairs and 24 large chairs in a day.

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Neporo4naja [7]

Answer:

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Step-by-step explanation:

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<em>Hope that helps!</em>

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6 0
3 years ago
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sammy [17]

Answer:

for page 1, the answer is  y = x + 1

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Step-by-step explanation:

Why is it y = x + 1?

It is y = x + 1 because if you look at the steps, all of them are reasonable for having a multiplication equation. Step 1 has a equation of 1 x 1, step 2 has an equation of 2 x 2, and  step 3 has an equation of 3 x 3. So the relationship would be adding +1 to every step and count up from 1 - 3.

--------------------------------------------------------------------------------------------------------------

Why is it linear?

It's linear cause the relationship between x and y is called a linear relationship because the points so plotted all lie on a single straight line.

5 0
3 years ago
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Dennis_Churaev [7]
Pretty sure it's A. (X times .5 equals Y)
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Answer:

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Step-by-step explanation:

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