guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 25 x \( \frac{45}{100} \) = \( \frac{45 x 25}{100} \) = \( \frac{1125}{100} \) = 11 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 = \( \frac{11}{\frac{25}{100}} \) = 11 x \( \frac{100}{25} \) = \( \frac{11 x 100}{25} \) = \( \frac{1100}{25} \) = 44 shots

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

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:

\( \frac{-5x^9}{6x^2} \)
\( \frac{-5}{6} \) x^{(9 - 2)}
-\(\frac{5}{6}\)x⁷

The area of a circle is given by the formula A = πr² where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))². If the diameter of the logo increases by 70% the radius (and, consequently, the total area) increases by \( \frac{70\text{%}}{2} \) = 35%

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:

1b² + 4b²
(1 + 4)b²
5b²

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

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