Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

5 + (3 + 4) ÷ 3 x 4 - 4²
P: 5 + (7) ÷ 3 x 4 - 4²
E: 5 + 7 ÷ 3 x 4 - 16
MD: 5 + \( \frac{7}{3} \) x 4 - 16
MD: 5 + \( \frac{28}{3} \) - 16
AS: \( \frac{15}{3} \) + \( \frac{28}{3} \) - 16
AS: \( \frac{43}{3} \) - 16
AS: \( \frac{43 - 48}{3} \)
\( \frac{-5}{3} \)
-1\(\frac{2}{3}\)

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

8\( \sqrt{3} \) x 6\( \sqrt{6} \)
(8 x 6)\( \sqrt{3 \times 6} \)
48\( \sqrt{18} \)

Now we need to simplify the radical:

48\( \sqrt{18} \)
48\( \sqrt{2 \times 9} \)
48\( \sqrt{2 \times 3^2} \)
(48)(3)\( \sqrt{2} \)
144\( \sqrt{2} \)

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 = \( 15mph \times 2h \)
30 miles

guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 20 x \( \frac{35}{100} \) = \( \frac{35 x 20}{100} \) = \( \frac{700}{100} \) = 7 shots

The center makes 25% of his shots so he'll have to take:

shots made = shots taken x \( \frac{\text{% made}}{100} \)
shots taken = \( \frac{\text{shots taken}}{\frac{\text{% made}}{100}} \)

to make as many shots as the guard. Plugging in values for the center gives us:

center shots taken = \( \frac{7}{\frac{25}{100}} \) = 7 x \( \frac{100}{25} \) = \( \frac{7 x 100}{25} \) = \( \frac{700}{25} \) = 28 shots

to make the same number of shots as the guard and thus score the same number of points.

Jennifer scored 93% on the test meaning she earned 93% of the possible points on the test. There were 200 possible points on the test so she earned 200 x 0.93 = 186 points. Each question is worth 2 points so she got \( \frac{186}{2} \) = 93 questions right.