Monica scored 90% on the test meaning she earned 90% of the possible points on the test. There were 240 possible points on the test so she earned 240 x 0.9 = 216 points. Each question is worth 3 points so she got \( \frac{216}{3} \) = 72 questions right.

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

Solving for time:

time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{455mi}{65mph} \)
7 hours

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

7\( \sqrt{3} \) x 4\( \sqrt{4} \)
(7 x 4)\( \sqrt{3 \times 4} \)
28\( \sqrt{12} \)

Now we need to simplify the radical:

28\( \sqrt{12} \)
28\( \sqrt{3 \times 4} \)
28\( \sqrt{3 \times 2^2} \)
(28)(2)\( \sqrt{3} \)
56\( \sqrt{3} \)

A number with an exponent (b^e) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b¹ = b) and a base with an exponent of 0 equals 1 ( (b⁰ = 1).

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 = \( 70mph \times 8h \)
560 miles