| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.59 |
| Score | 0% | 72% |
What is \( \sqrt{\frac{16}{49}} \)?
| 2\(\frac{2}{3}\) | |
| \(\frac{1}{3}\) | |
| 2\(\frac{1}{4}\) | |
| \(\frac{4}{7}\) |
To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:
\( \sqrt{\frac{16}{49}} \)
\( \frac{\sqrt{16}}{\sqrt{49}} \)
\( \frac{\sqrt{4^2}}{\sqrt{7^2}} \)
\(\frac{4}{7}\)
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common multiple |
|
absolute value |
|
least common factor |
|
greatest common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
What is the next number in this sequence: 1, 8, 15, 22, 29, __________ ?
| 31 | |
| 36 | |
| 44 | |
| 37 |
The equation for this sequence is:
an = an-1 + 7
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 7
a6 = 29 + 7
a6 = 36
How many hours does it take a car to travel 315 miles at an average speed of 35 miles per hour?
| 7 hours | |
| 9 hours | |
| 3 hours | |
| 8 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 = \( \frac{315mi}{35mph} \)
9 hours
If there were a total of 50 raffle tickets sold and you bought 2 tickets, what's the probability that you'll win the raffle?
| 5% | |
| 4% | |
| 17% | |
| 11% |
You have 2 out of the total of 50 raffle tickets sold so you have a (\( \frac{2}{50} \)) x 100 = \( \frac{2 \times 100}{50} \) = \( \frac{200}{50} \) = 5% chance to win the raffle.