guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 30 x \( \frac{35}{100} \) = \( \frac{35 x 30}{100} \) = \( \frac{1050}{100} \) = 10 shots

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

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

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.

1

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

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

7\( \sqrt{112} \) + 8\( \sqrt{7} \)
7\( \sqrt{16 \times 7} \) + 8\( \sqrt{7} \)
7\( \sqrt{4^2 \times 7} \) + 8\( \sqrt{7} \)
(7)(4)\( \sqrt{7} \) + 8\( \sqrt{7} \)
28\( \sqrt{7} \) + 8\( \sqrt{7} \)

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