If a single cook can bake 3 large cakes per hour and the kitchen is available for 4 hours, a single cook can bake 3 x 4 = 12 large cakes during that time. 37 large cakes are needed for the party so \( \frac{37}{12} \) = 3\(\frac{1}{12}\) cooks are needed to bake the required number of large cakes.

If a single cook can bake 10 small cakes per hour and the kitchen is available for 4 hours, a single cook can bake 10 x 4 = 40 small cakes during that time. 480 small cakes are needed for the party so \( \frac{480}{40} \) = 12 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 4 + 12 = 16 cooks.

First, solve for \( \left|x + 6\right| \):

\( \left|x + 6\right| \) + 1 = -2
\( \left|x + 6\right| \) = -2 - 1
\( \left|x + 6\right| \) = -3

The value inside the absolute value brackets can be either positive or negative so (x + 6) must equal - 3 or --3 for \( \left|x + 6\right| \) to equal -3:

So, x = -3 or x = -9.

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).

By buying two shirts, Ezra will save $40 x \( \frac{15}{100} \) = \( \frac{$40 x 15}{100} \) = \( \frac{$600}{100} \) = $6.00 on the second shirt.

The greatest common factor (GCF) is the greatest factor that divides two integers.