Solve the problem.A box with an open top is formed by cutting squares out of the corners of a rectangular piece of cardboard and then folding up the sides. If x represents the length of the side of the square cut from each corner, and if the original piece of cardboard is 18 inches by 11 inches, what size square must be cut if the volume of the box is to be 180 cubic inches? 

A. 2 in. by 2 in. square
B. 12 in. by 12 in. square
C. 3 in. by 3 in. square
D. 5 in. by 5 in. square


Answer: C

Mathematics

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Completely factor the polynomial or state that the polynomial is prime.x3 + 125

A. (x + 5)(x2 - 5x + 25) B. (x - 125)(x2 - 1) C. (x - 5)(x2 + 5x + 25) D. (x + 5)(x2 + 25)

Mathematics

Solve.A common equation used in business is a demand equation. It expresses the relationship between the unit price of some commodity and the quantity demanded. In the demand equation  for a certain style of calculator, p is the price per calculator in dollars and x is the quantity demanded in thousands of units. Find the demand for the calculator if the price is $5 per calculator.

A. 7 thousand units
B. 24 thousand units
C. 29 thousand units
D. 8 thousand units

Mathematics

The vertices of quadrilateral ABCD lie on . It is correct to say that:

A. Quadrilateral ABCD is inscribed in
B. Quadrilateral ABCD is circumscribed about
C. is inscribed in quadrilateral ABCD
D. None of These

Mathematics

Solve the equation. 

A. {6, -1 } B. { -1} C. {6} D. {7, -1} E. {-6, 1}

Mathematics