guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 15 x \( \frac{65}{100} \) = \( \frac{65 x 15}{100} \) = \( \frac{975}{100} \) = 9 shots

The center makes 45% 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 = \( \frac{9}{\frac{45}{100}} \) = 9 x \( \frac{100}{45} \) = \( \frac{9 x 100}{45} \) = \( \frac{900}{45} \) = 20 shots

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

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:

-8c⁴ x 5c⁴
(-8 x 5)c^{(4 + 4)}
-40c⁸

To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [30, 60, 90] making 30 the smallest multiple 6 and 10 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

\( \frac{2 x 5}{6 x 5} \) + \( \frac{3 x 3}{10 x 3} \)

\( \frac{10}{30} \) + \( \frac{9}{30} \)

Now, because the fractions share a common denominator, you can add them:

\( \frac{10 + 9}{30} \) = \( \frac{19}{30} \) = \(\frac{19}{30}\)

There are 3 4-passenger taxis available so that's 3 x 4 = 12 total seats. There are 15 people needing transportation leaving 15 - 12 = 3 who will have to find other transportation.

To find the average of these 4 numbers add them together then divide by 4:

\( \frac{19 + 11 + 18 + 12}{4} \) = \( \frac{60}{4} \) = 15