| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.63 |
| Score | 0% | 73% |
If there were a total of 450 raffle tickets sold and you bought 40 tickets, what's the probability that you'll win the raffle?
| 4% | |
| 9% | |
| 13% | |
| 1% |
You have 40 out of the total of 450 raffle tickets sold so you have a (\( \frac{40}{450} \)) x 100 = \( \frac{40 \times 100}{450} \) = \( \frac{4000}{450} \) = 9% chance to win the raffle.
The __________ is the greatest factor that divides two integers.
least common multiple |
|
greatest common multiple |
|
greatest common factor |
|
absolute value |
The greatest common factor (GCF) is the greatest factor that divides two integers.
How many hours does it take a car to travel 225 miles at an average speed of 75 miles per hour?
| 3 hours | |
| 6 hours | |
| 4 hours | |
| 5 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 = \( \frac{225mi}{75mph} \)
3 hours
How many 14-passenger vans will it take to drive all 39 members of the football team to an away game?
| 3 vans | |
| 6 vans | |
| 13 vans | |
| 9 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{39}{14} \) = 2\(\frac{11}{14}\)
So, it will take 2 full vans and one partially full van to transport the entire team making a total of 3 vans.
What is \( \frac{16\sqrt{49}}{8\sqrt{7}} \)?
| 7 \( \sqrt{2} \) | |
| 2 \( \sqrt{7} \) | |
| 7 \( \sqrt{\frac{1}{2}} \) | |
| \(\frac{1}{2}\) \( \sqrt{\frac{1}{7}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{16\sqrt{49}}{8\sqrt{7}} \)
\( \frac{16}{8} \) \( \sqrt{\frac{49}{7}} \)
2 \( \sqrt{7} \)