guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 20 x \( \frac{50}{100} \) = \( \frac{50 x 20}{100} \) = \( \frac{1000}{100} \) = 10 shots

The center makes 40% 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 = \( \frac{10}{\frac{40}{100}} \) = 10 x \( \frac{100}{40} \) = \( \frac{10 x 100}{40} \) = \( \frac{1000}{40} \) = 25 shots

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

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

Solving for distance:

distance = \( \text{speed} \times \text{time} \)
distance = \( 55mph \times 1h \)
55 miles

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:

-9z⁶ x 3z⁷
(-9 x 3)z^{(6 + 7)}
-27z¹³

Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

4 + (3 + 3) ÷ 2 x 3 - 4²
P: 4 + (6) ÷ 2 x 3 - 4²
E: 4 + 6 ÷ 2 x 3 - 16
MD: 4 + \( \frac{6}{2} \) x 3 - 16
MD: 4 + \( \frac{18}{2} \) - 16
AS: \( \frac{8}{2} \) + \( \frac{18}{2} \) - 16
AS: \( \frac{26}{2} \) - 16
AS: \( \frac{26 - 32}{2} \)
\( \frac{-6}{2} \)
-3

The greatest common factor (GCF) is the greatest factor that divides two integers.