45% of the water consumption is industrial use and 22% is personal use so (45% - 22%) = 23% more water is used for industrial purposes. 50,000 gallons are consumed daily so industry consumes \( \frac{23}{100} \) x 50,000 gallons = 11,500 gallons.

To raise a term with an exponent to another exponent, retain the base and multiply the exponents:

To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 9 are [9, 18, 27, 36, 45, 54, 63, 72, 81, 90] and the first few multiples of 15 are [15, 30, 45, 60, 75, 90]. The first few multiples they share are [45, 90] making 45 the smallest multiple 9 and 15 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

\( \frac{3 x 5}{9 x 5} \) + \( \frac{3 x 3}{15 x 3} \)

\( \frac{15}{45} \) + \( \frac{9}{45} \)

Now, because the fractions share a common denominator, you can add them:

\( \frac{15 + 9}{45} \) = \( \frac{24}{45} \) = \(\frac{8}{15}\)

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

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.