Provide an appropriate response.If one pulley is 8 inches bigger in diameter than another and they are connected by a belt, how big are the pulleys if the smaller pulley turns at 120 rpm and the larger turns at 40 rpm?

Fill in the blank(s) with the appropriate word(s).


4 and 12 inches

Mathematics

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Show the solution set of each inequality on a number line.-2 < x < 2

A.
B.
C.
D.

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Factor when possible.7x2 - 21xy - 28y2

A. 7(x - y)(x + 4y) B. (7x - 7y)(x + 4y) C. 7(x + y)(x - 4y) D. Prime

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Simplify the exponential expression. Write any negative exponents as positive exponents. Assume all variables represent positive real numbers.-321/5

A. 32 B. -2 C. 16 D. -8

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Solve and graph.4x2 + 19x - 30 ? 0

A. x ? -6

B. x ? -6 or x ? 

C. x ? 

D. -6 ? x ? 

Mathematics