The factors of a number are all positive integers that divide evenly into the number. The factors of 16 are 1, 2, 4, 8, 16.

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

9\( \sqrt{112} \) + 9\( \sqrt{7} \)
9\( \sqrt{16 \times 7} \) + 9\( \sqrt{7} \)
9\( \sqrt{4^2 \times 7} \) + 9\( \sqrt{7} \)
(9)(4)\( \sqrt{7} \) + 9\( \sqrt{7} \)
36\( \sqrt{7} \) + 9\( \sqrt{7} \)

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

If the tiger has consumed 40 pounds of food in 8 days that's \( \frac{40}{8} \) = 5 pounds of food per day. The tiger needs to consume 75 - 40 = 35 more pounds of food to reach 75 pounds total. At 5 pounds of food per day that's \( \frac{35}{5} \) = 7 more days.

If 46% of the town's 11,000 voters cast ballots the number of votes cast is:

(\( \frac{46}{100} \)) x 11,000 = \( \frac{506,000}{100} \) = 5,060

The mayor got 52% of the votes cast which is:

(\( \frac{52}{100} \)) x 5,060 = \( \frac{263,120}{100} \) = 2,631 votes.

If a single cook can bake 3 large cakes per hour and the kitchen is available for 2 hours, a single cook can bake 3 x 2 = 6 large cakes during that time. 33 large cakes are needed for the party so \( \frac{33}{6} \) = 5\(\frac{1}{2}\) cooks are needed to bake the required number of large cakes.

If a single cook can bake 13 small cakes per hour and the kitchen is available for 2 hours, a single cook can bake 13 x 2 = 26 small cakes during that time. 240 small cakes are needed for the party so \( \frac{240}{26} \) = 9\(\frac{3}{13}\) cooks are needed to bake the required number of small cakes.

Because you can't employ a fractional cook, round the number of cooks needed for each type of cake up to the next whole number resulting in 6 + 10 = 16 cooks.