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3 years ago

Solve the equation ( 1 point) 3/4x=9 A) X=12 B) X=108 C) X=72 D) X= 4/9

Mathematics

1 answer:

Elena L [17]3 years ago

3 0

Answer:

x = 12

Step-by-step explanation:

Solve for x:

(3 x)/4 = 9

Multiply both sides of (3 x)/4 = 9 by 4/3:

(4×3 x)/(3×4) = 4/3×9

4/3×3/4 = (4×3)/(3×4):

(4×3)/(3×4) x = 4/3×9

4/3×9 = (4×9)/3:

(4×3 x)/(3×4) = (4×9)/3

(4×3 x)/(3×4) = (3×4)/(3×4)×x = x:

x = (4×9)/3

9/3 = (3×3)/3 = 3:

x = 4×3

4×3 = 12:

Answer: x = 12

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2 years ago

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3 years ago

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A container manufacturer plans to make rectangular boxes whose bottom and top measure x by 4x. The container must contain 12ft^3

zheka24 [161]

The height of the container should be equal to 2.57 cm, so as to minimize cost.

<h3>How to calculate the height?</h3>

First of all, we would determine the volume of the rectangular container by using this formula:

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Where:

l represents the length.

w represents the width.

h represents the height.

Substituting the given parameters into the formula, we have;

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At a volume of 12 ft³, we have:

12 = 4x²h

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For the total area of top and bottom, we have:

Area = (x × 4x) + (x × 4x)

Area = 4x² + 4x²

Area = 8x² sq. units.

Thus, the cost of top and bottom is given by:

Cost = 8x² × 1.50

Cost = $12x²

For the total area of all four sides, we have:

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Area = 10xh sq. units.

Thus, the cost of all four sides is given by:

Cost = 10xh × 4.50

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Also, the cost function would be given by:

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Read more on minimum height here: brainly.com/question/27308167

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