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:

\( \frac{5!}{3!} \)
\( \frac{5 \times 4 \times 3 \times 2 \times 1}{3 \times 2 \times 1} \)
\( \frac{5 \times 4}{1} \)
\( 5 \times 4 \)
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 = \( 60mph \times 2h \)
120 miles

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

4 + (3 + 4) ÷ 4 x 4 - 5²
P: 4 + (7) ÷ 4 x 4 - 5²
E: 4 + 7 ÷ 4 x 4 - 25
MD: 4 + \( \frac{7}{4} \) x 4 - 25
MD: 4 + \( \frac{28}{4} \) - 25
AS: \( \frac{16}{4} \) + \( \frac{28}{4} \) - 25
AS: \( \frac{44}{4} \) - 25
AS: \( \frac{44 - 100}{4} \)
\( \frac{-56}{4} \)
-14

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 = \( \frac{140mi}{70mph} \)
2 hours

49% of the water consumption is industrial use and 22% is personal use so (49% - 22%) = 27% more water is used for industrial purposes. 15,000 gallons are consumed daily so industry consumes \( \frac{27}{100} \) x 15,000 gallons = 4,050 gallons.