If the tiger has consumed 63 pounds of food in 7 days that's \( \frac{63}{7} \) = 9 pounds of food per day. The tiger needs to consume 90 - 63 = 27 more pounds of food to reach 90 pounds total. At 9 pounds of food per day that's \( \frac{27}{9} \) = 3 more days.

The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.

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

\( \frac{4}{5} \) x \( \frac{4}{9} \) = \( \frac{4 x 4}{5 x 9} \) = \( \frac{16}{45} \) = \(\frac{16}{45}\)

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

2\( \sqrt{18} \) + 4\( \sqrt{2} \)
2\( \sqrt{9 \times 2} \) + 4\( \sqrt{2} \)
2\( \sqrt{3^2 \times 2} \) + 4\( \sqrt{2} \)
(2)(3)\( \sqrt{2} \) + 4\( \sqrt{2} \)
6\( \sqrt{2} \) + 4\( \sqrt{2} \)

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

To divide fractions, invert the second fraction and then multiply:

\( \frac{4}{5} \) ÷ \( \frac{3}{9} \) = \( \frac{4}{5} \) x \( \frac{9}{3} \)

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

\( \frac{4}{5} \) x \( \frac{9}{3} \) = \( \frac{4 x 9}{5 x 3} \) = \( \frac{36}{15} \) = 2\(\frac{2}{5}\)