| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.32 |
| Score | 0% | 66% |
How many hours does it take a car to travel 220 miles at an average speed of 55 miles per hour?
| 3 hours | |
| 5 hours | |
| 4 hours | |
| 6 hours |
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 = \( \frac{220mi}{55mph} \)
4 hours
4! = ?
4 x 3 |
|
3 x 2 x 1 |
|
4 x 3 x 2 x 1 |
|
5 x 4 x 3 x 2 x 1 |
A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
What is \( 2 \)\( \sqrt{48} \) - \( 6 \)\( \sqrt{3} \)
| -4\( \sqrt{48} \) | |
| -4\( \sqrt{-7} \) | |
| 2\( \sqrt{3} \) | |
| 12\( \sqrt{3} \) |
To subtract these radicals together their radicands must be the same:
2\( \sqrt{48} \) - 6\( \sqrt{3} \)
2\( \sqrt{16 \times 3} \) - 6\( \sqrt{3} \)
2\( \sqrt{4^2 \times 3} \) - 6\( \sqrt{3} \)
(2)(4)\( \sqrt{3} \) - 6\( \sqrt{3} \)
8\( \sqrt{3} \) - 6\( \sqrt{3} \)
Now that the radicands are identical, you can subtract them:
8\( \sqrt{3} \) - 6\( \sqrt{3} \)If a mayor is elected with 56% of the votes cast and 54% of a town's 25,000 voters cast a vote, how many votes did the mayor receive?
| 10,665 | |
| 7,560 | |
| 7,965 | |
| 11,475 |
If 54% of the town's 25,000 voters cast ballots the number of votes cast is:
(\( \frac{54}{100} \)) x 25,000 = \( \frac{1,350,000}{100} \) = 13,500
The mayor got 56% of the votes cast which is:
(\( \frac{56}{100} \)) x 13,500 = \( \frac{756,000}{100} \) = 7,560 votes.
What is \( \frac{2}{9} \) x \( \frac{1}{6} \)?
| \(\frac{2}{9}\) | |
| \(\frac{3}{14}\) | |
| \(\frac{1}{27}\) | |
| \(\frac{1}{12}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{9} \) x \( \frac{1}{6} \) = \( \frac{2 x 1}{9 x 6} \) = \( \frac{2}{54} \) = \(\frac{1}{27}\)