-72 + 12 x 4 / (-6) solve it

Mathematics

1 answer:

erastova [34]4 years ago

8 0

Answer:

The answer is -80.

Step-by-step explanation:

First, you need to multiply 12x4.

-72+12x4/(-6)

-72+48/(-6)

Now, we divide 48/-6. (Using P.E.M.D.A.S)

-72+48/-6

-72+-8

Finally, we add the negatives.

This gives us... -80 as your answer.

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Answer:

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Refer to the figure shown below.
x = the width of the rectangle (meters)
y = the height of the rectangle (meters(

The fencing for the perimeter of the rectangle costs $30 per meter.
The two inner partitions cost $25 per meter.

The total cost of the fencing is
C = 2(x+y)*$30 + 2y*$25
= 60(x+y) + 50y
= 60x + 110y

Because the amount available to spend is $600, therefore
60x + 110y = 6000
or
6x + 11y = 600
That is,
y = (600 - 6x)/11 (1)

The area is
A = x*y (2)

Substitute (1) into (2).
A = (x/11)*(600 - 6x) = (1/11)*(600x - 6x²)

To maximize A, the derivative of A with respect to x is zero.
That is,
600 - 12x = 0
x = 600/12 = 50
From (1), obtain
y = (1/11)*(600 - 6*50) = 300/11 = 27.273

Because the second derivative of A with respect to x is negative, x=50, y = 27.273 will yield the maximum area.

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Answer: 1364 m² (nearest integer)