| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.83 |
| Score | 0% | 77% |
4! = ?
3 x 2 x 1 |
|
4 x 3 x 2 x 1 |
|
4 x 3 |
|
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 \( \frac{9\sqrt{14}}{3\sqrt{2}} \)?
| 3 \( \sqrt{\frac{1}{7}} \) | |
| \(\frac{1}{7}\) \( \sqrt{3} \) | |
| 3 \( \sqrt{7} \) | |
| \(\frac{1}{3}\) \( \sqrt{7} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{9\sqrt{14}}{3\sqrt{2}} \)
\( \frac{9}{3} \) \( \sqrt{\frac{14}{2}} \)
3 \( \sqrt{7} \)
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 $34, how much money will he save?
| $8.50 | |
| 92 | |
| $1.70 | |
| $5.10 |
By buying two shirts, Damon will save $34 x \( \frac{15}{100} \) = \( \frac{$34 x 15}{100} \) = \( \frac{$510}{100} \) = $5.10 on the second shirt.
What is the distance in miles of a trip that takes 5 hours at an average speed of 75 miles per hour?
| 210 miles | |
| 520 miles | |
| 300 miles | |
| 375 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 = \( 75mph \times 5h \)
375 miles
What is the least common multiple of 2 and 10?
| 18 | |
| 5 | |
| 11 | |
| 10 |
The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] and the first few multiples of 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [10, 20, 30, 40, 50] making 10 the smallest multiple 2 and 10 have in common.