Solve the problem.A man rode a bicycle for 12 miles and then hiked an additional 8 miles. The total time for the trip was 5 hours. If his speed when he was riding a bicycle was 10 miles per hour faster than his speed walking, what was each speed?

A. Bike: 11.5 mph
Hike: 1.5 mph
B. Bike: 14.5 mph
Hike: 4.5 mph
C. Bike: 13 mph
Hike: 3 mph
D. Bike: 12 mph
Hike: 2 mph


Answer: D

Mathematics

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Provide a response as requested.The city council gave a questionnaire to its citizens, asking them to rank their priorities for next year's budget. People were asked to rank the following four choices: (P)olice, (R)oads, (S)chools, and (T)rash removal. The results are summarized in the table below.Number of Ballots  State who the Borda count winner is. Explain whether this satisfies the majority, Condorcet, and independence-of-irrelevant-alternatives criteria.

What will be an ideal response?

Mathematics

Estimate the indicated component or components of the vector. Round to an appropriate number of significant digits. = 20.2, ? = 58.1°; Find the horizontal component of v.

A. 17.1 B. 27.8 C. 10.7 D. 6.4

Mathematics

Determine if the matrix is in row-echelon form.

A. No B. Yes

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Find partial fraction decomposition for the following function.f(x) = 

A. f(x) =  + 
B. f(x) =  + 
C. f(x) =  + 
D. f(x) =  + 

Mathematics