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).

guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 25 x \( \frac{50}{100} \) = \( \frac{50 x 25}{100} \) = \( \frac{1250}{100} \) = 12 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 = \( \frac{12}{\frac{40}{100}} \) = 12 x \( \frac{100}{40} \) = \( \frac{12 x 100}{40} \) = \( \frac{1200}{40} \) = 30 shots

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

A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.

To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 400 meters to kilometers, divide the distance by 1000 to get 0.4km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.4km + 50.2km + 3.0km
total distance = 53.6km

Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

5 + (3 + 5) ÷ 4 x 5 - 3²
P: 5 + (8) ÷ 4 x 5 - 3²
E: 5 + 8 ÷ 4 x 5 - 9
MD: 5 + \( \frac{8}{4} \) x 5 - 9
MD: 5 + \( \frac{40}{4} \) - 9
AS: \( \frac{20}{4} \) + \( \frac{40}{4} \) - 9
AS: \( \frac{60}{4} \) - 9
AS: \( \frac{60 - 36}{4} \)
\( \frac{24}{4} \)
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