| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.85 |
| Score | 0% | 57% |
If the ratio of home fans to visiting fans in a crowd is 3:1 and all 32,000 seats in a stadium are filled, how many home fans are in attendance?
| 24,750 | |
| 24,000 | |
| 37,600 | |
| 29,250 |
A ratio of 3:1 means that there are 3 home fans for every one visiting fan. So, of every 4 fans, 3 are home fans and \( \frac{3}{4} \) of every fan in the stadium is a home fan:
32,000 fans x \( \frac{3}{4} \) = \( \frac{96000}{4} \) = 24,000 fans.
What is \( 2 \)\( \sqrt{80} \) + \( 6 \)\( \sqrt{5} \)
| 8\( \sqrt{16} \) | |
| 12\( \sqrt{80} \) | |
| 14\( \sqrt{5} \) | |
| 8\( \sqrt{80} \) |
To add these radicals together their radicands must be the same:
2\( \sqrt{80} \) + 6\( \sqrt{5} \)
2\( \sqrt{16 \times 5} \) + 6\( \sqrt{5} \)
2\( \sqrt{4^2 \times 5} \) + 6\( \sqrt{5} \)
(2)(4)\( \sqrt{5} \) + 6\( \sqrt{5} \)
8\( \sqrt{5} \) + 6\( \sqrt{5} \)
Now that the radicands are identical, you can add them together:
8\( \sqrt{5} \) + 6\( \sqrt{5} \)What is 8a3 - 2a3?
| 10a9 | |
| 10a6 | |
| 6a3 | |
| 10a3 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:
8a3 - 2a3
(8 - 2)a3
6a3
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?
| 11% | |
| 3% | |
| 10% | |
| 9% |
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.
The __________ is the greatest factor that divides two integers.
absolute value |
|
greatest common factor |
|
greatest common multiple |
|
least common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.