An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.

Monica scored 92% on the test meaning she earned 92% of the possible points on the test. There were 150 possible points on the test so she earned 150 x 0.92 = 138 points. Each question is worth 3 points so she got \( \frac{138}{3} \) = 46 questions right.

A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:

\( \frac{4!}{5!} \)
\( \frac{4 \times 3 \times 2 \times 1}{5 \times 4 \times 3 \times 2 \times 1} \)
\( \frac{1}{5} \)
\( \frac{1}{5} \)

First, solve for \( \left|a + 3\right| \):

\( \left|a + 3\right| \) - 6 = 4
\( \left|a + 3\right| \) = 4 + 6
\( \left|a + 3\right| \) = 10

The value inside the absolute value brackets can be either positive or negative so (a + 3) must equal + 10 or -10 for \( \left|a + 3\right| \) to equal 10:

So, a = -13 or a = 7.

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

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

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

\( \frac{3}{5} \) x \( \frac{5}{3} \) = \( \frac{3 x 5}{5 x 3} \) = \( \frac{15}{15} \) = 1