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.

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 = \( 65mph \times 5h \)
325 miles

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{1}{8} \) x \( \frac{1}{7} \) = \( \frac{1 x 1}{8 x 7} \) = \( \frac{1}{56} \) = \(\frac{1}{56}\)

You have 18 out of the total of 300 raffle tickets sold so you have a (\( \frac{18}{300} \)) x 100 = \( \frac{18 \times 100}{300} \) = \( \frac{1800}{300} \) = 6% chance to win the raffle.

To find the average of these 4 numbers add them together then divide by 4:

\( \frac{10 + 2 + 8 + 4}{4} \) = \( \frac{24}{4} \) = 6