If the tiger has consumed 84 pounds of food in 7 days that's \( \frac{84}{7} \) = 12 pounds of food per day. The tiger needs to consume 132 - 84 = 48 more pounds of food to reach 132 pounds total. At 12 pounds of food per day that's \( \frac{48}{12} \) = 4 more days.

To fill a 8 gallon tank exactly halfway you'll need 4 gallons of fuel. Each fuel can holds 1 gallons so:

cans = \( \frac{4 \text{ gallons}}{1 \text{ gallons}} \) = 4

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 take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:

\( \sqrt{\frac{49}{25}} \)
\( \frac{\sqrt{49}}{\sqrt{25}} \)
\( \frac{\sqrt{7^2}}{\sqrt{5^2}} \)
\( \frac{7}{5} \)
1\(\frac{2}{5}\)

The greatest common factor (GCF) is the greatest factor that divides two integers.