A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.

To multiply terms with radicals, multiply the coefficients and radicands separately:

9\( \sqrt{4} \) x 6\( \sqrt{5} \)
(9 x 6)\( \sqrt{4 \times 5} \)
54\( \sqrt{20} \)

Now we need to simplify the radical:

54\( \sqrt{20} \)
54\( \sqrt{5 \times 4} \)
54\( \sqrt{5 \times 2^2} \)
(54)(2)\( \sqrt{5} \)
108\( \sqrt{5} \)

1

guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 10 x \( \frac{50}{100} \) = \( \frac{50 x 10}{100} \) = \( \frac{500}{100} \) = 5 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 = \( \frac{5}{\frac{45}{100}} \) = 5 x \( \frac{100}{45} \) = \( \frac{5 x 100}{45} \) = \( \frac{500}{45} \) = 11 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 = \( 25mph \times 9h \)
225 miles