QUESTION: 109

If a car traveled 200 miles at an average rate of speed of r miles per hour, the time it took for the trip could be written as ______.

200/r
r/200
200r
r/60

Answer(s): A

Explanation:

The basic formula for travel is "distance equals rate multiplied by time," or D = rt. The car traveled 200 miles (D); therefore 200 =rt.
To solve for time, divide both sides of the equation by r. (You are undoing the multiplication.) 200/r = rt/rr200/r = t (time it took for trip)

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QUESTION: 110

An equilateral triangle has the same perimeter as a square whose side is 12 inches. What is the length of a side of the triangle?

9 inches
12 inches
18 inches
16 inches

Answer(s): D

Explanation:

The perimeter of a square is 4 times a side.
Therefore, the perimeter of this square is 4 × 12 inches or 48 inches. The equilateral triangle has the same perimeter as the square.
Since the 3 sides of an equilateral triangle are equal, divide by 3 to find the length of one side. (48 inches) ÷ 3 = 16 inches (length of one side).

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QUESTION: 111

What is the value of (0.1)3?

0.3
0.003
0.1
0.001

Answer(s): D

Explanation:

The exponent in (0.1)3 means you use 0.1 as a multiplier 3 times. (0.1)3 = (0.1) (0.1) (0.1) = 0.001
When multiplying decimals, count off one decimal place in the answer for each decimal place in the numbers you multiply.

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