To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{4}{6} \) x \( \frac{2}{5} \) = \( \frac{4 x 2}{6 x 5} \) = \( \frac{8}{30} \) = \(\frac{4}{15}\)

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:

\( \frac{3!}{4!} \)
\( \frac{3 \times 2 \times 1}{4 \times 3 \times 2 \times 1} \)
\( \frac{1}{4} \)
\( \frac{1}{4} \)

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:

-7z² - 6z²
(-7 - 6)z²
-13z²

There are 4 5-passenger taxis available so that's 4 x 5 = 20 total seats. There are 22 people needing transportation leaving 22 - 20 = 2 who will have to find other transportation.

If 47% of the town's 17,000 voters cast ballots the number of votes cast is:

(\( \frac{47}{100} \)) x 17,000 = \( \frac{799,000}{100} \) = 7,990

The mayor got 61% of the votes cast which is:

(\( \frac{61}{100} \)) x 7,990 = \( \frac{487,390}{100} \) = 4,874 votes.