There are 2 5-passenger taxis available so that's 2 x 5 = 10 total seats. There are 12 people needing transportation leaving 12 - 10 = 2 who will have to find other transportation.

First, solve for \( \left|y - 7\right| \):

\( \left|y - 7\right| \) - 4 = -5
\( \left|y - 7\right| \) = -5 + 4
\( \left|y - 7\right| \) = -1

The value inside the absolute value brackets can be either positive or negative so (y - 7) must equal - 1 or --1 for \( \left|y - 7\right| \) to equal -1:

So, y = 8 or y = 6.

To simplify a radical, factor out the perfect squares:

\( \sqrt{125} \)
\( \sqrt{25 \times 5} \)
\( \sqrt{5^2 \times 5} \)
5\( \sqrt{5} \)

The ratio of football cards to baseball cards is 7:2 and the ratio of baseball cards to basketball cards is 7:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 49:14 and the ratio of baseball cards to basketball cards as 14:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 49:14, 14:2 which reduces to 49:2.

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:

\( \frac{-2x^8}{2x^3} \)
\( \frac{-2}{2} \) x^{(8 - 3)}
-x⁵