Christine scored 82% on the test meaning she earned 82% of the possible points on the test. There were 200 possible points on the test so she earned 200 x 0.82 = 164 points. Each question is worth 2 points so she got \( \frac{164}{2} \) = 82 questions right.

If the tiger has consumed 40 pounds of food in 5 days that's \( \frac{40}{5} \) = 8 pounds of food per day. The tiger needs to consume 72 - 40 = 32 more pounds of food to reach 72 pounds total. At 8 pounds of food per day that's \( \frac{32}{8} \) = 4 more days.

To divide fractions, invert the second fraction and then multiply:

\( \frac{2}{6} \) ÷ \( \frac{2}{7} \) = \( \frac{2}{6} \) x \( \frac{7}{2} \)

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{2}{6} \) x \( \frac{7}{2} \) = \( \frac{2 x 7}{6 x 2} \) = \( \frac{14}{12} \) = 1\(\frac{1}{6}\)

guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 25 x \( \frac{45}{100} \) = \( \frac{45 x 25}{100} \) = \( \frac{1125}{100} \) = 11 shots

The center makes 35% 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 = \( \frac{11}{\frac{35}{100}} \) = 11 x \( \frac{100}{35} \) = \( \frac{11 x 100}{35} \) = \( \frac{1100}{35} \) = 31 shots

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

First, solve for \( \left|c + 0\right| \):

\( \left|c + 0\right| \) - 3 = 2
\( \left|c + 0\right| \) = 2 + 3
\( \left|c + 0\right| \) = 5

The value inside the absolute value brackets can be either positive or negative so (c + 0) must equal + 5 or -5 for \( \left|c + 0\right| \) to equal 5:

So, c = -5 or c = 5.