To divide terms with radicals, divide the coefficients and radicands separately:

\( \frac{16\sqrt{24}}{8\sqrt{8}} \)
\( \frac{16}{8} \) \( \sqrt{\frac{24}{8}} \)
2 \( \sqrt{3} \)

You have 15 out of the total of 300 raffle tickets sold so you have a (\( \frac{15}{300} \)) x 100 = \( \frac{15 \times 100}{300} \) = \( \frac{1500}{300} \) = 5% chance to win the raffle.

To simplify this fraction, first find the greatest common factor between them. The factors of 36 are [1, 2, 3, 4, 6, 9, 12, 18, 36] and the factors of 44 are [1, 2, 4, 11, 22, 44]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).

Next, divide both numerator and denominator by the GCF:

\( \frac{36}{44} \) = \( \frac{\frac{36}{4}}{\frac{44}{4}} \) = \( \frac{9}{11} \)

If the tiger has consumed 16 pounds of food in 2 days that's \( \frac{16}{2} \) = 8 pounds of food per day. The tiger needs to consume 72 - 16 = 56 more pounds of food to reach 72 pounds total. At 8 pounds of food per day that's \( \frac{56}{8} \) = 7 more days.

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 $1,400
i = 0.09 x $1,400
i = $126