The amount of flour you need is (2\(\frac{1}{2}\) - 1) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{20}{8} \) - \( \frac{8}{8} \)) cups
\( \frac{12}{8} \) cups
1\(\frac{1}{2}\) cups

A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.

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

Solving for distance:

distance = \( \text{speed} \times \text{time} \)
distance = \( 40mph \times 8h \)
320 miles

The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).

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

8\( \sqrt{112} \) + 2\( \sqrt{7} \)
8\( \sqrt{16 \times 7} \) + 2\( \sqrt{7} \)
8\( \sqrt{4^2 \times 7} \) + 2\( \sqrt{7} \)
(8)(4)\( \sqrt{7} \) + 2\( \sqrt{7} \)
32\( \sqrt{7} \) + 2\( \sqrt{7} \)

Now that the radicands are identical, you can add them together: