If 64% of the town's 29,000 voters cast ballots the number of votes cast is:

(\( \frac{64}{100} \)) x 29,000 = \( \frac{1,856,000}{100} \) = 18,560

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

(\( \frac{80}{100} \)) x 18,560 = \( \frac{1,484,800}{100} \) = 14,848 votes.

A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:

\( \frac{6!}{2!} \)
\( \frac{6 \times 5 \times 4 \times 3 \times 2 \times 1}{2 \times 1} \)
\( \frac{6 \times 5 \times 4 \times 3}{1} \)
\( 6 \times 5 \times 4 \times 3 \)
360

You have 6 out of the total of 200 raffle tickets sold so you have a (\( \frac{6}{200} \)) x 100 = \( \frac{6 \times 100}{200} \) = \( \frac{600}{200} \) = 3% chance to win the raffle.

The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).

Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

5 + (4 + 4) ÷ 5 x 2 - 2²
P: 5 + (8) ÷ 5 x 2 - 2²
E: 5 + 8 ÷ 5 x 2 - 4
MD: 5 + \( \frac{8}{5} \) x 2 - 4
MD: 5 + \( \frac{16}{5} \) - 4
AS: \( \frac{25}{5} \) + \( \frac{16}{5} \) - 4
AS: \( \frac{41}{5} \) - 4
AS: \( \frac{41 - 20}{5} \)
\( \frac{21}{5} \)
4\(\frac{1}{5}\)