44% of the water consumption is industrial use and 11% is personal use so (44% - 11%) = 33% more water is used for industrial purposes. 30,000 gallons are consumed daily so industry consumes \( \frac{33}{100} \) x 30,000 gallons = 9,900 gallons.

If a single cook can bake 4 large cakes per hour and the kitchen is available for 2 hours, a single cook can bake 4 x 2 = 8 large cakes during that time. 20 large cakes are needed for the party so \( \frac{20}{8} \) = 2\(\frac{1}{2}\) cooks are needed to bake the required number of large cakes.

If a single cook can bake 18 small cakes per hour and the kitchen is available for 2 hours, a single cook can bake 18 x 2 = 36 small cakes during that time. 170 small cakes are needed for the party so \( \frac{170}{36} \) = 4\(\frac{13}{18}\) 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 3 + 5 = 8 cooks.

If the tiger has consumed 60 pounds of food in 12 days that's \( \frac{60}{12} \) = 5 pounds of food per day. The tiger needs to consume 75 - 60 = 15 more pounds of food to reach 75 pounds total. At 5 pounds of food per day that's \( \frac{15}{5} \) = 3 more days.

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:

-9c⁴ - 1c⁴
(-9 - 1)c⁴
-10c⁴

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.