| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.84 |
| Score | 0% | 57% |
How many 11-passenger vans will it take to drive all 60 members of the football team to an away game?
| 5 vans | |
| 4 vans | |
| 8 vans | |
| 6 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{60}{11} \) = 5\(\frac{5}{11}\)
So, it will take 5 full vans and one partially full van to transport the entire team making a total of 6 vans.
If there were a total of 450 raffle tickets sold and you bought 13 tickets, what's the probability that you'll win the raffle?
| 9% | |
| 3% | |
| 13% | |
| 19% |
You have 13 out of the total of 450 raffle tickets sold so you have a (\( \frac{13}{450} \)) x 100 = \( \frac{13 \times 100}{450} \) = \( \frac{1300}{450} \) = 3% chance to win the raffle.
What is \( 4 \)\( \sqrt{80} \) - \( 9 \)\( \sqrt{5} \)
| 7\( \sqrt{5} \) | |
| 36\( \sqrt{80} \) | |
| 36\( \sqrt{16} \) | |
| -5\( \sqrt{5} \) |
To subtract these radicals together their radicands must be the same:
4\( \sqrt{80} \) - 9\( \sqrt{5} \)
4\( \sqrt{16 \times 5} \) - 9\( \sqrt{5} \)
4\( \sqrt{4^2 \times 5} \) - 9\( \sqrt{5} \)
(4)(4)\( \sqrt{5} \) - 9\( \sqrt{5} \)
16\( \sqrt{5} \) - 9\( \sqrt{5} \)
Now that the radicands are identical, you can subtract them:
16\( \sqrt{5} \) - 9\( \sqrt{5} \)How many 1\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 6 gallon tank to fill it exactly halfway?
| 4 | |
| 5 | |
| 9 | |
| 2 |
To fill a 6 gallon tank exactly halfway you'll need 3 gallons of fuel. Each fuel can holds 1\(\frac{1}{2}\) gallons so:
cans = \( \frac{3 \text{ gallons}}{1\frac{1}{2} \text{ gallons}} \) = 2
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 3 to 2 and the ratio of baseball to basketball cards is 3 to 1, what is the ratio of football to basketball cards?
| 9:4 | |
| 5:1 | |
| 1:4 | |
| 9:2 |
The ratio of football cards to baseball cards is 3:2 and the ratio of baseball cards to basketball cards is 3:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 9:6 and the ratio of baseball cards to basketball cards as 6:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 9:6, 6:2 which reduces to 9:2.