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

5\( \sqrt{112} \) - 8\( \sqrt{7} \)
5\( \sqrt{16 \times 7} \) - 8\( \sqrt{7} \)
5\( \sqrt{4^2 \times 7} \) - 8\( \sqrt{7} \)
(5)(4)\( \sqrt{7} \) - 8\( \sqrt{7} \)
20\( \sqrt{7} \) - 8\( \sqrt{7} \)

Now that the radicands are identical, you can subtract them:

Jennifer scored 87% on the test meaning she earned 87% of the possible points on the test. There were 270 possible points on the test so she earned 270 x 0.87 = 234 points. Each question is worth 3 points so she got \( \frac{234}{3} \) = 78 questions right.

The amount of flour you need is (2 - \(\frac{3}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{16}{8} \) - \( \frac{3}{8} \)) cups
\( \frac{13}{8} \) cups
1\(\frac{5}{8}\) cups

The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.

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