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

vans = \( \frac{95}{12} \) = 7\(\frac{11}{12}\)

So, it will take 7 full vans and one partially full van to transport the entire team making a total of 8 vans.

The factors of a number are all positive integers that divide evenly into the number. The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56.

First, solve for \( \left|a - 9\right| \):

\( \left|a - 9\right| \) - 4 = 0
\( \left|a - 9\right| \) = 0 + 4
\( \left|a - 9\right| \) = 4

The value inside the absolute value brackets can be either positive or negative so (a - 9) must equal + 4 or -4 for \( \left|a - 9\right| \) to equal 4:

So, a = 5 or a = 13.

The ratio of football cards to baseball cards is 9:2 and the ratio of baseball cards to basketball cards is 9:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 81:18 and the ratio of baseball cards to basketball cards as 18:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 81:18, 18:2 which reduces to 81:2.

If 72% of the town's 17,000 voters cast ballots the number of votes cast is:

(\( \frac{72}{100} \)) x 17,000 = \( \frac{1,224,000}{100} \) = 12,240

The mayor got 85% of the votes cast which is:

(\( \frac{85}{100} \)) x 12,240 = \( \frac{1,040,400}{100} \) = 10,404 votes.