The ratio of football cards to baseball cards is 9:2 and the ratio of baseball cards to basketball cards is 9:1. 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 81:18 and the ratio of baseball cards to basketball cards as 18:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 81:18, 18:2 which reduces to 81:2.

To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:

z³ x 3z⁶
(1 x 3)z^{(3 + 6)}
3z⁹

guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 25 x \( \frac{40}{100} \) = \( \frac{40 x 25}{100} \) = \( \frac{1000}{100} \) = 10 shots

The center makes 25% of his shots so he'll have to take:

shots made = shots taken x \( \frac{\text{% made}}{100} \)
shots taken = \( \frac{\text{shots taken}}{\frac{\text{% made}}{100}} \)

to make as many shots as the guard. Plugging in values for the center gives us:

center shots taken = \( \frac{10}{\frac{25}{100}} \) = 10 x \( \frac{100}{25} \) = \( \frac{10 x 100}{25} \) = \( \frac{1000}{25} \) = 40 shots

to make the same number of shots as the guard and thus score the same number of points.

To add these radicals together their radicands must be the same:

9\( \sqrt{28} \) + 5\( \sqrt{7} \)
9\( \sqrt{4 \times 7} \) + 5\( \sqrt{7} \)
9\( \sqrt{2^2 \times 7} \) + 5\( \sqrt{7} \)
(9)(2)\( \sqrt{7} \) + 5\( \sqrt{7} \)
18\( \sqrt{7} \) + 5\( \sqrt{7} \)

Now that the radicands are identical, you can add them together:

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

\( \frac{3}{8} \) x \( \frac{4}{5} \) = \( \frac{3 x 4}{8 x 5} \) = \( \frac{12}{40} \) = \(\frac{3}{10}\)