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

\( \frac{4}{8} \) x \( \frac{4}{6} \) = \( \frac{4 x 4}{8 x 6} \) = \( \frac{16}{48} \) = \(\frac{1}{3}\)

If the tiger has consumed 99 pounds of food in 9 days that's \( \frac{99}{9} \) = 11 pounds of food per day. The tiger needs to consume 165 - 99 = 66 more pounds of food to reach 165 pounds total. At 11 pounds of food per day that's \( \frac{66}{11} \) = 6 more days.

There are 3 5-passenger taxis available so that's 3 x 5 = 15 total seats. There are 16 people needing transportation leaving 16 - 15 = 1 who will have to find other transportation.

To add these radicals together their radicands must be the same:

9\( \sqrt{125} \) + 5\( \sqrt{5} \)
9\( \sqrt{25 \times 5} \) + 5\( \sqrt{5} \)
9\( \sqrt{5^2 \times 5} \) + 5\( \sqrt{5} \)
(9)(5)\( \sqrt{5} \) + 5\( \sqrt{5} \)
45\( \sqrt{5} \) + 5\( \sqrt{5} \)

Now that the radicands are identical, you can add them together:

The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).