guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 15 x \( \frac{45}{100} \) = \( \frac{45 x 15}{100} \) = \( \frac{675}{100} \) = 6 shots

The center makes 40% 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 = \( \frac{6}{\frac{40}{100}} \) = 6 x \( \frac{100}{40} \) = \( \frac{6 x 100}{40} \) = \( \frac{600}{40} \) = 15 shots

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

First, solve for \( \left|x + 8\right| \):

\( \left|x + 8\right| \) + 3 = 0
\( \left|x + 8\right| \) = 0 - 3
\( \left|x + 8\right| \) = -3

The value inside the absolute value brackets can be either positive or negative so (x + 8) must equal - 3 or --3 for \( \left|x + 8\right| \) to equal -3:

So, x = -5 or x = -11.

By buying two shirts, Bob will save $23 x \( \frac{5}{100} \) = \( \frac{$23 x 5}{100} \) = \( \frac{$115}{100} \) = $1.15 on the second shirt.

So, his total cost will be
$23.00 + ($23.00 - $1.15)
$23.00 + $21.85
$44.85

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = (\( \frac{6}{100} \)) x $100
i = 0.06 x $100

No payments were made so the total amount due is the original amount + the accumulated interest:

If the tiger has consumed 88 pounds of food in 8 days that's \( \frac{88}{8} \) = 11 pounds of food per day. The tiger needs to consume 143 - 88 = 55 more pounds of food to reach 143 pounds total. At 11 pounds of food per day that's \( \frac{55}{11} \) = 5 more days.