To add these radicals together their radicands must be the same:

4\( \sqrt{63} \) + 8\( \sqrt{7} \)
4\( \sqrt{9 \times 7} \) + 8\( \sqrt{7} \)
4\( \sqrt{3^2 \times 7} \) + 8\( \sqrt{7} \)
(4)(3)\( \sqrt{7} \) + 8\( \sqrt{7} \)
12\( \sqrt{7} \) + 8\( \sqrt{7} \)

Now that the radicands are identical, you can add them together:

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

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

2\( \sqrt{5} \) x 7\( \sqrt{5} \)
(2 x 7)\( \sqrt{5 \times 5} \)
14\( \sqrt{25} \)

Now we need to simplify the radical:

14\( \sqrt{25} \)
14\( \sqrt{5^2} \)
(14)(5)
70

Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:

vans = \( \frac{52}{6} \) = 8\(\frac{2}{3}\)

So, it will take 8 full vans and one partially full van to transport the entire team making a total of 9 vans.

guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 30 x \( \frac{55}{100} \) = \( \frac{55 x 30}{100} \) = \( \frac{1650}{100} \) = 16 shots

The center makes 50% 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 = \( \frac{16}{\frac{50}{100}} \) = 16 x \( \frac{100}{50} \) = \( \frac{16 x 100}{50} \) = \( \frac{1600}{50} \) = 32 shots

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