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

4\( \sqrt{75} \) - 4\( \sqrt{3} \)
4\( \sqrt{25 \times 3} \) - 4\( \sqrt{3} \)
4\( \sqrt{5^2 \times 3} \) - 4\( \sqrt{3} \)
(4)(5)\( \sqrt{3} \) - 4\( \sqrt{3} \)
20\( \sqrt{3} \) - 4\( \sqrt{3} \)

Now that the radicands are identical, you can subtract them:

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

The factors of a number are all positive integers that divide evenly into the number. The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40.

The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.

If a single cook can bake 2 large cakes per hour and the kitchen is available for 2 hours, a single cook can bake 2 x 2 = 4 large cakes during that time. 33 large cakes are needed for the party so \( \frac{33}{4} \) = 8\(\frac{1}{4}\) cooks are needed to bake the required number of large cakes.

If a single cook can bake 19 small cakes per hour and the kitchen is available for 2 hours, a single cook can bake 19 x 2 = 38 small cakes during that time. 480 small cakes are needed for the party so \( \frac{480}{38} \) = 12\(\frac{12}{19}\) 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 9 + 13 = 22 cooks.