If the tiger has consumed 65 pounds of food in 5 days that's \( \frac{65}{5} \) = 13 pounds of food per day. The tiger needs to consume 130 - 65 = 65 more pounds of food to reach 130 pounds total. At 13 pounds of food per day that's \( \frac{65}{13} \) = 5 more days.

The factors of 20 are [1, 2, 4, 5, 10, 20] and the factors of 76 are [1, 2, 4, 19, 38, 76]. They share 3 factors [1, 2, 4] making 4 the greatest factor 20 and 76 have in common.

You have 40 out of the total of 450 raffle tickets sold so you have a (\( \frac{40}{450} \)) x 100 = \( \frac{40 \times 100}{450} \) = \( \frac{4000}{450} \) = 9% chance to win the raffle.

To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:

\( \frac{-9c^6}{3c^2} \)
\( \frac{-9}{3} \) c^{(6 - 2)}
-3c⁴

To simplify a radical, factor out the perfect squares:

\( \sqrt{12} \)
\( \sqrt{4 \times 3} \)
\( \sqrt{2^2 \times 3} \)
2\( \sqrt{3} \)