A ratio of 2:1 means that there are 2 home fans for every one visiting fan. So, of every 3 fans, 2 are home fans and \( \frac{2}{3} \) of every fan in the stadium is a home fan:

44,000 fans x \( \frac{2}{3} \) = \( \frac{88000}{3} \) = 29,333 fans.

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:

\( \frac{-9z^7}{7z^4} \)
\( \frac{-9}{7} \) z^{(7 - 4)}
-1\(\frac{2}{7}\)z³

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:

-4b⁴ x 9b⁵
(-4 x 9)b^{(4 + 5)}
-36b⁹

guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 10 x \( \frac{45}{100} \) = \( \frac{45 x 10}{100} \) = \( \frac{450}{100} \) = 4 shots

The center makes 35% 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 = \( \frac{4}{\frac{35}{100}} \) = 4 x \( \frac{100}{35} \) = \( \frac{4 x 100}{35} \) = \( \frac{400}{35} \) = 11 shots

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

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