If the tiger has consumed 72 pounds of food in 9 days that's \( \frac{72}{9} \) = 8 pounds of food per day. The tiger needs to consume 112 - 72 = 40 more pounds of food to reach 112 pounds total. At 8 pounds of food per day that's \( \frac{40}{8} \) = 5 more days.

guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 15 x \( \frac{55}{100} \) = \( \frac{55 x 15}{100} \) = \( \frac{825}{100} \) = 8 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 = \( \frac{8}{\frac{35}{100}} \) = 8 x \( \frac{100}{35} \) = \( \frac{8 x 100}{35} \) = \( \frac{800}{35} \) = 23 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 add the coefficients and retain the base and exponent:

-1x⁷ + 9x⁷
(-1 + 9)x⁷
8x⁷

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

\( \frac{3}{7} \) ÷ \( \frac{2}{9} \) = \( \frac{3}{7} \) x \( \frac{9}{2} \)

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

\( \frac{3}{7} \) x \( \frac{9}{2} \) = \( \frac{3 x 9}{7 x 2} \) = \( \frac{27}{14} \) = 1\(\frac{13}{14}\)

A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.