The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.

You have 13 out of the total of 450 raffle tickets sold so you have a (\( \frac{13}{450} \)) x 100 = \( \frac{13 \times 100}{450} \) = \( \frac{1300}{450} \) = 3% 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 = \( 65mph \times 9h \)
585 miles

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

2 + (3 + 2) ÷ 2 x 4 - 5²
P: 2 + (5) ÷ 2 x 4 - 5²
E: 2 + 5 ÷ 2 x 4 - 25
MD: 2 + \( \frac{5}{2} \) x 4 - 25
MD: 2 + \( \frac{20}{2} \) - 25
AS: \( \frac{4}{2} \) + \( \frac{20}{2} \) - 25
AS: \( \frac{24}{2} \) - 25
AS: \( \frac{24 - 50}{2} \)
\( \frac{-26}{2} \)
-13

Diane scored 90% on the test meaning she earned 90% of the possible points on the test. There were 90 possible points on the test so she earned 90 x 0.9 = 81 points. Each question is worth 3 points so she got \( \frac{81}{3} \) = 27 questions right.