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

8\( \sqrt{48} \) + 9\( \sqrt{3} \)
8\( \sqrt{16 \times 3} \) + 9\( \sqrt{3} \)
8\( \sqrt{4^2 \times 3} \) + 9\( \sqrt{3} \)
(8)(4)\( \sqrt{3} \) + 9\( \sqrt{3} \)
32\( \sqrt{3} \) + 9\( \sqrt{3} \)

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

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:

\( \frac{3a^5}{6a^2} \)
\( \frac{3}{6} \) a^{(5 - 2)}
\(\frac{1}{2}\)a³

If the tiger has consumed 18 pounds of food in 3 days that's \( \frac{18}{3} \) = 6 pounds of food per day. The tiger needs to consume 60 - 18 = 42 more pounds of food to reach 60 pounds total. At 6 pounds of food per day that's \( \frac{42}{6} \) = 7 more days.

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

\( \frac{3}{7} \) x \( \frac{4}{8} \) = \( \frac{3 x 4}{7 x 8} \) = \( \frac{12}{56} \) = \(\frac{3}{14}\)

Latoya scored 77% on the test meaning she earned 77% of the possible points on the test. There were 120 possible points on the test so she earned 120 x 0.77 = 92 points. Each question is worth 4 points so she got \( \frac{92}{4} \) = 23 questions right.