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:

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

The amount of flour you need is (1\(\frac{7}{8}\) - \(\frac{7}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{15}{8} \) - \( \frac{7}{8} \)) cups
\( \frac{8}{8} \) cups
1 cups

Christine scored 75% on the test meaning she earned 75% of the possible points on the test. There were 180 possible points on the test so she earned 180 x 0.75 = 135 points. Each question is worth 3 points so she got \( \frac{135}{3} \) = 45 questions right.

To multiply terms with radicals, multiply the coefficients and radicands separately:

6\( \sqrt{7} \) x 2\( \sqrt{5} \)
(6 x 2)\( \sqrt{7 \times 5} \)
12\( \sqrt{35} \)

The equation for this sequence is:

a_n = a_n-1 + 4(n - 1)

where n is the term's order in the sequence, a_n is the value of the term, and a_n-1 is the value of the term before a_n. This makes the next number:

a₆ = a₅ + 4(6 - 1)
a₆ = 41 + 4(5)
a₆ = 61