A ratio of 5:1 means that there are 5 home fans for every one visiting fan. So, of every 6 fans, 5 are home fans and \( \frac{5}{6} \) of every fan in the stadium is a home fan:

39,000 fans x \( \frac{5}{6} \) = \( \frac{195000}{6} \) = 32,500 fans.

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

9\( \sqrt{112} \) + 9\( \sqrt{7} \)
9\( \sqrt{16 \times 7} \) + 9\( \sqrt{7} \)
9\( \sqrt{4^2 \times 7} \) + 9\( \sqrt{7} \)
(9)(4)\( \sqrt{7} \) + 9\( \sqrt{7} \)
36\( \sqrt{7} \) + 9\( \sqrt{7} \)

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

The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).

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 30% 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 = \( \frac{5}{\frac{30}{100}} \) = 5 x \( \frac{100}{30} \) = \( \frac{5 x 100}{30} \) = \( \frac{500}{30} \) = 17 shots

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

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:

-2a⁴ - 5a⁴
(-2 - 5)a⁴
-7a⁴