The ratio of football cards to baseball cards is 5:2 and the ratio of baseball cards to basketball cards is 5:1. 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 25:10 and the ratio of baseball cards to basketball cards as 10:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 25:10, 10:2 which reduces to 25:2.

A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.

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:

2z⁵ + 9z⁵
(2 + 9)z⁵
11z⁵

By buying two shirts, Charlie will save $19 x \( \frac{35}{100} \) = \( \frac{$19 x 35}{100} \) = \( \frac{$665}{100} \) = $6.65 on the second shirt.

So, his total cost will be
$19.00 + ($19.00 - $6.65)
$19.00 + $12.35
$31.35

To divide terms with radicals, divide the coefficients and radicands separately:

\( \frac{56\sqrt{20}}{8\sqrt{4}} \)
\( \frac{56}{8} \) \( \sqrt{\frac{20}{4}} \)
7 \( \sqrt{5} \)