If 65% of the town's 16,000 voters cast ballots the number of votes cast is:

(\( \frac{65}{100} \)) x 16,000 = \( \frac{1,040,000}{100} \) = 10,400

The mayor got 80% of the votes cast which is:

(\( \frac{80}{100} \)) x 10,400 = \( \frac{832,000}{100} \) = 8,320 votes.

The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.

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

vans = \( \frac{59}{9} \) = 6\(\frac{5}{9}\)

So, it will take 6 full vans and one partially full van to transport the entire team making a total of 7 vans.

The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.

By buying two shirts, Frank will save $21 x \( \frac{40}{100} \) = \( \frac{$21 x 40}{100} \) = \( \frac{$840}{100} \) = $8.40 on the second shirt.

So, his total cost will be
$21.00 + ($21.00 - $8.40)
$21.00 + $12.60
$33.60