Perform the indicated operations, expressing the answer in simplest form with rationalized denominators. 

A. 2yz2
B. 128y7z9
C. 128yz 
D. 2yz 


Answer: D

Mathematics

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Find the sum of the geometric series.2 + 6 + 18 + 54 + 162 + . . . + 2 ? 310

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Solve the problem.Benjamin never has more than 23 hours free during the week. He is trying to make a weekly plan for dividing his free time between reading and working out. He wants to spend at least 6 hours per week reading. Write a system of inequalities to describe the situation. Let x represent the number of hours for reading and y represent the number of hours for working out.

A. x + y ? 23 y ? 6 x ? 0 B. x + y ? 23 x ? 6 y ? 0 C. x + y ? 23 x ? 6y x ? 0 y ? 0 D. x + y ? 23 x ? 6y x ? 0 y ? 0

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Solve.If the area of a rectangle is 21 square miles and its length is 7 miles, what is its width?

A. 7 mi
B.  mi
C. 147 mi
D. 3 mi

Mathematics

Estimate the sum or difference by rounding each number to the nearest hundred.

A. 400 B. 328 C. 1600 D. 300

Mathematics