| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.61 |
| Score | 0% | 72% |
If a car travels 135 miles in 9 hours, what is the average speed?
| 60 mph | |
| 35 mph | |
| 40 mph | |
| 15 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)If \(\left|a\right| = 7\), which of the following best describes a?
a = 7 or a = -7 |
|
none of these is correct |
|
a = -7 |
|
a = 7 |
The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).
What is \( \frac{16\sqrt{14}}{8\sqrt{7}} \)?
| \(\frac{1}{2}\) \( \sqrt{2} \) | |
| 2 \( \sqrt{2} \) | |
| 2 \( \sqrt{\frac{1}{2}} \) | |
| \(\frac{1}{2}\) \( \sqrt{\frac{1}{2}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{16\sqrt{14}}{8\sqrt{7}} \)
\( \frac{16}{8} \) \( \sqrt{\frac{14}{7}} \)
2 \( \sqrt{2} \)
Latoya scored 84% on her final exam. If each question was worth 2 points and there were 100 possible points on the exam, how many questions did Latoya answer correctly?
| 46 | |
| 36 | |
| 42 | |
| 52 |
Latoya scored 84% on the test meaning she earned 84% of the possible points on the test. There were 100 possible points on the test so she earned 100 x 0.84 = 84 points. Each question is worth 2 points so she got \( \frac{84}{2} \) = 42 questions right.
How many 7-passenger vans will it take to drive all 95 members of the football team to an away game?
| 8 vans | |
| 5 vans | |
| 4 vans | |
| 14 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{95}{7} \) = 13\(\frac{4}{7}\)
So, it will take 13 full vans and one partially full van to transport the entire team making a total of 14 vans.