Solve the variation problem.Suppose y varies directly with x, and y = 154 when x = 11. Find y when x = 12.

A. y = 168
B. y = 196
C. y = 144
D. y = 121


Answer: A

Mathematics

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Write an algebraic equation and use it to solve the problem.A hot air balloon spent several minutes ascending. It then stayed at a level altitude for three times as long as it had ascended. It took 5 minutes less to descend than it did to ascend. The entire trip took one hour and 20 minutes. For how long was the balloon at a level altitude?

A. 17 minutes B. 29 minutes C. 12 minutes D. 51 minutes

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Provide an appropriate response.Determine if  converges or diverges. If it converges, to what number does it converge?

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

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Solve the problem.A piece of cable which is  m long is to be cut into pieces  m long. How many pieces will there be? 

A. 32 pieces
B. 24 pieces
C.  piece
D. 6 pieces

Mathematics

Use the properties of limits to help decide whether the limit exists. If the limit exists, find its value.

A. -6 B. -3 C. Does not exist D. 0

Mathematics