A rectangular prism has a volume of 250 in3
2 answers:
Rectangular prism is also known as cuboid. The side lengths which can be of the considered rectangular pair are given by: Option D: 2 inches and 25 inches
<h3>What is the volume of a rectangular prism?</h3>Suppose that the rectangular prism considered has side lengths a, b, and c units.
Then its volume is given by
For the give case, it is given that the rectangular prism in consideration has got the volume as 250 cubic inches.
Its one of the 3 sides is given to be as of 5 inches.
That means, we get:
That means, other two sides should be such that their product comes out at 50 inch squared. (since one inch dimension is lost).
For the given cases in options, we can see that only the fourth option pairs (2 inch and 25 inches) are such that their product comes out as 50 sq. inches.
(since )
Thus, the side lengths which can be of the considered rectangular pair are given by: Option D: 2 inches and 25 inches
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Solving quadratic equations, it is found that he needs to charge:
1. He needs to charge $40 to break even.
2. He needs to charge $30 for a profit of $600.
<h3>What is a quadratic function?</h3>A quadratic function is given according to the following rule:
The solutions are:
In which:
The profit equation in this problem is:
P(x) = -3x² + 150x - 1200.
He breaks even when P(x) = 0, hence:
-3x² + 150x - 1200 = 0.
The coefficients are a = -3, b = 150, c = -1200, hence:
He needs to charge $40 to break even.
For a profit of $600, we have that P(x) = 600, hence:
-3x² + 150x - 1200 = 600.
-3x² + 150x - 1800 = 0.
The coefficients are a = -3, b = 150, c = -1800, hence:
He needs to charge $30 for a profit of $600.
More can be learned about quadratic equations at brainly.com/question/24737967
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