If 33% of the town's 21,000 voters cast ballots the number of votes cast is:

(\( \frac{33}{100} \)) x 21,000 = \( \frac{693,000}{100} \) = 6,930

The mayor got 77% of the votes cast which is:

(\( \frac{77}{100} \)) x 6,930 = \( \frac{533,610}{100} \) = 5,336 votes.

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

2 + (3 + 5) ÷ 4 x 4 - 3²
P: 2 + (8) ÷ 4 x 4 - 3²
E: 2 + 8 ÷ 4 x 4 - 9
MD: 2 + \( \frac{8}{4} \) x 4 - 9
MD: 2 + \( \frac{32}{4} \) - 9
AS: \( \frac{8}{4} \) + \( \frac{32}{4} \) - 9
AS: \( \frac{40}{4} \) - 9
AS: \( \frac{40 - 36}{4} \)
\( \frac{4}{4} \)
1

You have 12 out of the total of 200 raffle tickets sold so you have a (\( \frac{12}{200} \)) x 100 = \( \frac{12 \times 100}{200} \) = \( \frac{1200}{200} \) = 6% chance to win the raffle.

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

Solving for distance:

distance = \( \text{speed} \times \text{time} \)
distance = \( 20mph \times 2h \)
40 miles

To add these radicals together their radicands must be the same:

9\( \sqrt{32} \) + 2\( \sqrt{2} \)
9\( \sqrt{16 \times 2} \) + 2\( \sqrt{2} \)
9\( \sqrt{4^2 \times 2} \) + 2\( \sqrt{2} \)
(9)(4)\( \sqrt{2} \) + 2\( \sqrt{2} \)
36\( \sqrt{2} \) + 2\( \sqrt{2} \)

Now that the radicands are identical, you can add them together: