If 84% of the town's 42,000 voters cast ballots the number of votes cast is:

(\( \frac{84}{100} \)) x 42,000 = \( \frac{3,528,000}{100} \) = 35,280

The mayor got 73% of the votes cast which is:

(\( \frac{73}{100} \)) x 35,280 = \( \frac{2,575,440}{100} \) = 25,754 votes.

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

Solving for time:

time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{360mi}{45mph} \)
8 hours

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.

Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:

vans = \( \frac{71}{8} \) = 8\(\frac{7}{8}\)

So, it will take 8 full vans and one partially full van to transport the entire team making a total of 9 vans.

The factors of 56 are [1, 2, 4, 7, 8, 14, 28, 56] and the factors of 64 are [1, 2, 4, 8, 16, 32, 64]. They share 4 factors [1, 2, 4, 8] making 8 the greatest factor 56 and 64 have in common.