53% of the water consumption is industrial use and 27% is personal use so (53% - 27%) = 26% more water is used for industrial purposes. 15,000 gallons are consumed daily so industry consumes \( \frac{26}{100} \) x 15,000 gallons = 3,900 gallons.

To simplify this fraction, first find the greatest common factor between them. The factors of 36 are [1, 2, 3, 4, 6, 9, 12, 18, 36] and the factors of 80 are [1, 2, 4, 5, 8, 10, 16, 20, 40, 80]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).

Next, divide both numerator and denominator by the GCF:

\( \frac{36}{80} \) = \( \frac{\frac{36}{4}}{\frac{80}{4}} \) = \( \frac{9}{20} \)

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.

Jennifer scored 94% on the test meaning she earned 94% of the possible points on the test. There were 400 possible points on the test so she earned 400 x 0.94 = 376 points. Each question is worth 4 points so she got \( \frac{376}{4} \) = 94 questions right.

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

-1x⁵ + 6x⁵
(-1 + 6)x⁵
5x⁵