Solve the problem.Suppose that an open box is to be made from a square sheet of cardboard by cutting out  squares from each corner as shown and then folding along the dotted lines. If the box is to have a volume of 384 cubic inches, find the original dimensions of the sheet of cardboard. 

A. 20 in. by 20 in.
B. 8 in. by 8 in.
C. 8 in. by 8 in.
D. 2 in. by 4 in.


Answer: A

Mathematics

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First, use front-end rounding to round each number and estimate the answer. Then, find the exact answer.James is taking a road to Calistoga. He has already driven 73.38 kilometers. If the entire distance to Calistoga is 115 kilometers, how much further must James drive?

A. Estimate: 30 kilometers; exact: 42.62 kilometers B. Estimate: 30 kilometers; exact: 41.72 kilometers C. Estimate: 40 kilometers; exact: 51.62 kilometers D. Estimate: 30 kilometers; exact: 41.62 kilometers

Mathematics

Find the 4th term in the binomial expansion. ? ? Please enter your answer as a fraction.

What will be an ideal response?

Mathematics

Determine if the given ordered triple is a solution of the system.(-3, 2, -4)3x + 2y + z = -115x - 3y - z = -234x + y + 4z = -26

A. solution B. not a solution

Mathematics

Factor the polynomial.16x2 - 40x + 25 - y2

A. (4x - 5 + y)(4x - 5 - y) B. (4x + 5 + y)(4x + 5 - y) C. (4x - 5 + y)(4x + 5 - y) D. Prime

Mathematics