To simplify this fraction, first find the greatest common factor between them. The factors of 32 are [1, 2, 4, 8, 16, 32] and the factors of 76 are [1, 2, 4, 19, 38, 76]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).

Next, divide both numerator and denominator by the GCF:

\( \frac{32}{76} \) = \( \frac{\frac{32}{4}}{\frac{76}{4}} \) = \( \frac{8}{19} \)

You have 12 out of the total of 250 raffle tickets sold so you have a (\( \frac{12}{250} \)) x 100 = \( \frac{12 \times 100}{250} \) = \( \frac{1200}{250} \) = 5% 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 time:

time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{360mi}{60mph} \)
6 hours

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

2 + (5 + 3) ÷ 3 x 4 - 3²
P: 2 + (8) ÷ 3 x 4 - 3²
E: 2 + 8 ÷ 3 x 4 - 9
MD: 2 + \( \frac{8}{3} \) x 4 - 9
MD: 2 + \( \frac{32}{3} \) - 9
AS: \( \frac{6}{3} \) + \( \frac{32}{3} \) - 9
AS: \( \frac{38}{3} \) - 9
AS: \( \frac{38 - 27}{3} \)
\( \frac{11}{3} \)
3\(\frac{2}{3}\)

To divide terms with radicals, divide the coefficients and radicands separately:

\( \frac{18\sqrt{18}}{9\sqrt{6}} \)
\( \frac{18}{9} \) \( \sqrt{\frac{18}{6}} \)
2 \( \sqrt{3} \)