| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.24 |
| Score | 0% | 65% |
If there were a total of 450 raffle tickets sold and you bought 27 tickets, what's the probability that you'll win the raffle?
| 4% | |
| 17% | |
| 14% | |
| 6% |
You have 27 out of the total of 450 raffle tickets sold so you have a (\( \frac{27}{450} \)) x 100 = \( \frac{27 \times 100}{450} \) = \( \frac{2700}{450} \) = 6% chance to win the raffle.
How many 7-passenger vans will it take to drive all 90 members of the football team to an away game?
| 13 vans | |
| 9 vans | |
| 6 vans | |
| 7 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{90}{7} \) = 12\(\frac{6}{7}\)
So, it will take 12 full vans and one partially full van to transport the entire team making a total of 13 vans.
13 members of a bridal party need transported to a wedding reception but there are only 3 3-passenger taxis available to take them. How many will need to find other transportation?
| 9 | |
| 3 | |
| 4 | |
| 2 |
There are 3 3-passenger taxis available so that's 3 x 3 = 9 total seats. There are 13 people needing transportation leaving 13 - 9 = 4 who will have to find other transportation.
Convert c-2 to remove the negative exponent.
| \( \frac{-1}{-2c} \) | |
| \( \frac{1}{c^{-2}} \) | |
| \( \frac{1}{c^2} \) | |
| \( \frac{-1}{c^{-2}} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
What is \( 9 \)\( \sqrt{45} \) - \( 7 \)\( \sqrt{5} \)
| 2\( \sqrt{16} \) | |
| 20\( \sqrt{5} \) | |
| 63\( \sqrt{45} \) | |
| 2\( \sqrt{225} \) |
To subtract these radicals together their radicands must be the same:
9\( \sqrt{45} \) - 7\( \sqrt{5} \)
9\( \sqrt{9 \times 5} \) - 7\( \sqrt{5} \)
9\( \sqrt{3^2 \times 5} \) - 7\( \sqrt{5} \)
(9)(3)\( \sqrt{5} \) - 7\( \sqrt{5} \)
27\( \sqrt{5} \) - 7\( \sqrt{5} \)
Now that the radicands are identical, you can subtract them:
27\( \sqrt{5} \) - 7\( \sqrt{5} \)