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 radicals, multiply the coefficients and radicands separately:

7\( \sqrt{2} \) x 2\( \sqrt{2} \)
(7 x 2)\( \sqrt{2 \times 2} \)
14\( \sqrt{4} \)

Now we need to simplify the radical:

14\( \sqrt{4} \)
14\( \sqrt{2^2} \)
(14)(2)
28

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).

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:

-1b⁷ - 9b⁷
(-1 - 9)b⁷
-10b⁷

The number of students taking German or Spanish is 5 + 11 = 16. Of that group of 16, 5 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 16 - 5 = 11 who are taking at least one language. 25 - 11 = 14 students who are not taking either language.