| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.21 |
| Score | 0% | 64% |
How many hours does it take a car to travel 200 miles at an average speed of 25 miles per hour?
| 9 hours | |
| 8 hours | |
| 3 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 = \( \frac{200mi}{25mph} \)
8 hours
What is \( 4 \)\( \sqrt{20} \) - \( 6 \)\( \sqrt{5} \)
| -2\( \sqrt{4} \) | |
| 24\( \sqrt{5} \) | |
| 2\( \sqrt{5} \) | |
| 24\( \sqrt{4} \) |
To subtract these radicals together their radicands must be the same:
4\( \sqrt{20} \) - 6\( \sqrt{5} \)
4\( \sqrt{4 \times 5} \) - 6\( \sqrt{5} \)
4\( \sqrt{2^2 \times 5} \) - 6\( \sqrt{5} \)
(4)(2)\( \sqrt{5} \) - 6\( \sqrt{5} \)
8\( \sqrt{5} \) - 6\( \sqrt{5} \)
Now that the radicands are identical, you can subtract them:
8\( \sqrt{5} \) - 6\( \sqrt{5} \)Which of these numbers is a factor of 32?
| 35 | |
| 1 | |
| 21 | |
| 19 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 32 are 1, 2, 4, 8, 16, 32.
What is \( \frac{5}{6} \) + \( \frac{2}{8} \)?
| 2 \( \frac{4}{13} \) | |
| 2 \( \frac{2}{24} \) | |
| 1\(\frac{1}{12}\) | |
| \( \frac{4}{24} \) |
To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80]. The first few multiples they share are [24, 48, 72, 96] making 24 the smallest multiple 6 and 8 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{5 x 4}{6 x 4} \) + \( \frac{2 x 3}{8 x 3} \)
\( \frac{20}{24} \) + \( \frac{6}{24} \)
Now, because the fractions share a common denominator, you can add them:
\( \frac{20 + 6}{24} \) = \( \frac{26}{24} \) = 1\(\frac{1}{12}\)
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Damon buys two shirts, each with a regular price of $33, how much money will he save?
| $4.95 | |
| $13.20 | |
| $6.60 | |
| $1.65 |
By buying two shirts, Damon will save $33 x \( \frac{15}{100} \) = \( \frac{$33 x 15}{100} \) = \( \frac{$495}{100} \) = $4.95 on the second shirt.