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. 21 large cakes are needed for the party so \( \frac{21}{4} \) = 5\(\frac{1}{4}\) cooks are needed to bake the required number of large cakes.

If a single cook can bake 18 small cakes per hour and the kitchen is available for 2 hours, a single cook can bake 18 x 2 = 36 small cakes during that time. 230 small cakes are needed for the party so \( \frac{230}{36} \) = 6\(\frac{7}{18}\) 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 + 7 = 13 cooks.

Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

3 + (4 + 4) ÷ 4 x 3 - 3²
P: 3 + (8) ÷ 4 x 3 - 3²
E: 3 + 8 ÷ 4 x 3 - 9
MD: 3 + \( \frac{8}{4} \) x 3 - 9
MD: 3 + \( \frac{24}{4} \) - 9
AS: \( \frac{12}{4} \) + \( \frac{24}{4} \) - 9
AS: \( \frac{36}{4} \) - 9
AS: \( \frac{36 - 36}{4} \)
\( \frac{0}{4} \)

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

The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).

The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.