| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.66 |
| Score | 0% | 73% |
What is 6\( \sqrt{8} \) x 3\( \sqrt{6} \)?
| 9\( \sqrt{6} \) | |
| 72\( \sqrt{3} \) | |
| 18\( \sqrt{6} \) | |
| 9\( \sqrt{8} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
6\( \sqrt{8} \) x 3\( \sqrt{6} \)
(6 x 3)\( \sqrt{8 \times 6} \)
18\( \sqrt{48} \)
Now we need to simplify the radical:
18\( \sqrt{48} \)
18\( \sqrt{3 \times 16} \)
18\( \sqrt{3 \times 4^2} \)
(18)(4)\( \sqrt{3} \)
72\( \sqrt{3} \)
What is \( \frac{4}{6} \) x \( \frac{4}{8} \)?
| \(\frac{1}{3}\) | |
| \(\frac{3}{20}\) | |
| 2 | |
| \(\frac{3}{56}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{6} \) x \( \frac{4}{8} \) = \( \frac{4 x 4}{6 x 8} \) = \( \frac{16}{48} \) = \(\frac{1}{3}\)
How many 16-passenger vans will it take to drive all 51 members of the football team to an away game?
| 8 vans | |
| 5 vans | |
| 7 vans | |
| 4 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{51}{16} \) = 3\(\frac{3}{16}\)
So, it will take 3 full vans and one partially full van to transport the entire team making a total of 4 vans.
If a car travels 20 miles in 1 hour, what is the average speed?
| 15 mph | |
| 20 mph | |
| 40 mph | |
| 55 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)What is the distance in miles of a trip that takes 9 hours at an average speed of 45 miles per hour?
| 360 miles | |
| 350 miles | |
| 405 miles | |
| 200 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 = \( 45mph \times 9h \)
405 miles