47% of the water consumption is industrial use and 26% is personal use so (47% - 26%) = 21% more water is used for industrial purposes. 20,000 gallons are consumed daily so industry consumes \( \frac{21}{100} \) x 20,000 gallons = 4,200 gallons.

To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:

\( \frac{-5x^7}{3x^2} \)
\( \frac{-5}{3} \) x^{(7 - 2)}
-1\(\frac{2}{3}\)x⁵

If a single cook can bake 2 large cakes per hour and the kitchen is available for 2 hours, a single cook can bake 2 x 2 = 4 large cakes during that time. 28 large cakes are needed for the party so \( \frac{28}{4} \) = 7 cooks are needed to bake the required number of large cakes.

If a single cook can bake 20 small cakes per hour and the kitchen is available for 2 hours, a single cook can bake 20 x 2 = 40 small cakes during that time. 340 small cakes are needed for the party so \( \frac{340}{40} \) = 8\(\frac{1}{2}\) cooks are needed to bake the required number of small cakes.

Because you can't employ a fractional cook, round the number of cooks needed for each type of cake up to the next whole number resulting in 7 + 9 = 16 cooks.

To simplify a radical, factor out the perfect squares:

\( \sqrt{48} \)
\( \sqrt{16 \times 3} \)
\( \sqrt{4^2 \times 3} \)
4\( \sqrt{3} \)

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

\( \frac{16 + 10 + 15 + 11}{4} \) = \( \frac{52}{4} \) = 13