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 = \( 30mph \times 7h \)
210 miles

The factors of 72 are [1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72] and the factors of 32 are [1, 2, 4, 8, 16, 32]. They share 4 factors [1, 2, 4, 8] making 8 the greatest factor 72 and 32 have in common.

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.

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:

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

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

4 + (4 + 2) ÷ 5 x 2 - 5²
P: 4 + (6) ÷ 5 x 2 - 5²
E: 4 + 6 ÷ 5 x 2 - 25
MD: 4 + \( \frac{6}{5} \) x 2 - 25
MD: 4 + \( \frac{12}{5} \) - 25
AS: \( \frac{20}{5} \) + \( \frac{12}{5} \) - 25
AS: \( \frac{32}{5} \) - 25
AS: \( \frac{32 - 125}{5} \)
\( \frac{-93}{5} \)
-18\(\frac{3}{5}\)