| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.57 |
| Score | 0% | 71% |
How many hours does it take a car to travel 495 miles at an average speed of 55 miles per hour?
| 2 hours | |
| 7 hours | |
| 9 hours | |
| 1 hour |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{495mi}{55mph} \)
9 hours
What is the distance in miles of a trip that takes 4 hours at an average speed of 40 miles per hour?
| 360 miles | |
| 160 miles | |
| 225 miles | |
| 260 miles |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 40mph \times 4h \)
160 miles
What is \( \frac{21\sqrt{40}}{7\sqrt{8}} \)?
| 3 \( \sqrt{5} \) | |
| 3 \( \sqrt{\frac{1}{5}} \) | |
| \(\frac{1}{3}\) \( \sqrt{5} \) | |
| \(\frac{1}{5}\) \( \sqrt{3} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{21\sqrt{40}}{7\sqrt{8}} \)
\( \frac{21}{7} \) \( \sqrt{\frac{40}{8}} \)
3 \( \sqrt{5} \)
What is \( \frac{1}{6} \) x \( \frac{4}{6} \)?
| \(\frac{1}{9}\) | |
| \(\frac{2}{3}\) | |
| \(\frac{3}{64}\) | |
| \(\frac{4}{35}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{1}{6} \) x \( \frac{4}{6} \) = \( \frac{1 x 4}{6 x 6} \) = \( \frac{4}{36} \) = \(\frac{1}{9}\)
Which of the following statements about exponents is false?
b1 = b |
|
b1 = 1 |
|
b0 = 1 |
|
all of these are false |
A number with an exponent (be) 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).