| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
What is \( 4 \)\( \sqrt{12} \) + \( 9 \)\( \sqrt{3} \)
| 36\( \sqrt{3} \) | |
| 17\( \sqrt{3} \) | |
| 13\( \sqrt{36} \) | |
| 36\( \sqrt{12} \) |
To add these radicals together their radicands must be the same:
4\( \sqrt{12} \) + 9\( \sqrt{3} \)
4\( \sqrt{4 \times 3} \) + 9\( \sqrt{3} \)
4\( \sqrt{2^2 \times 3} \) + 9\( \sqrt{3} \)
(4)(2)\( \sqrt{3} \) + 9\( \sqrt{3} \)
8\( \sqrt{3} \) + 9\( \sqrt{3} \)
Now that the radicands are identical, you can add them together:
8\( \sqrt{3} \) + 9\( \sqrt{3} \)If a car travels 180 miles in 6 hours, what is the average speed?
| 70 mph | |
| 30 mph | |
| 45 mph | |
| 40 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 next number in this sequence: 1, 3, 7, 13, 21, __________ ?
| 36 | |
| 40 | |
| 31 | |
| 25 |
The equation for this sequence is:
an = an-1 + 2(n - 1)
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 + 2(6 - 1)
a6 = 21 + 2(5)
a6 = 31
How many hours does it take a car to travel 180 miles at an average speed of 30 miles per hour?
| 9 hours | |
| 6 hours | |
| 4 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 = \( \frac{180mi}{30mph} \)
6 hours
If there were a total of 300 raffle tickets sold and you bought 9 tickets, what's the probability that you'll win the raffle?
| 15% | |
| 8% | |
| 10% | |
| 3% |
You have 9 out of the total of 300 raffle tickets sold so you have a (\( \frac{9}{300} \)) x 100 = \( \frac{9 \times 100}{300} \) = \( \frac{900}{300} \) = 3% chance to win the raffle.