| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.16 |
| Score | 0% | 63% |
A factor is a positive __________ that divides evenly into a given number.
fraction |
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improper fraction |
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mixed number |
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integer |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
What is \( \frac{1}{9} \) ÷ \( \frac{1}{5} \)?
| \(\frac{2}{9}\) | |
| \(\frac{16}{35}\) | |
| \(\frac{5}{9}\) | |
| \(\frac{3}{35}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{1}{9} \) ÷ \( \frac{1}{5} \) = \( \frac{1}{9} \) x \( \frac{5}{1} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{1}{9} \) x \( \frac{5}{1} \) = \( \frac{1 x 5}{9 x 1} \) = \( \frac{5}{9} \) = \(\frac{5}{9}\)
If there were a total of 400 raffle tickets sold and you bought 32 tickets, what's the probability that you'll win the raffle?
| 8% | |
| 17% | |
| 4% | |
| 13% |
You have 32 out of the total of 400 raffle tickets sold so you have a (\( \frac{32}{400} \)) x 100 = \( \frac{32 \times 100}{400} \) = \( \frac{3200}{400} \) = 8% chance to win the raffle.
Simplify \( \sqrt{12} \)
| 8\( \sqrt{3} \) | |
| 5\( \sqrt{3} \) | |
| 9\( \sqrt{6} \) | |
| 2\( \sqrt{3} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{12} \)
\( \sqrt{4 \times 3} \)
\( \sqrt{2^2 \times 3} \)
2\( \sqrt{3} \)
On average, the center for a basketball team hits 45% of his shots while a guard on the same team hits 65% of his shots. If the guard takes 20 shots during a game, how many shots will the center have to take to score as many points as the guard assuming each shot is worth the same number of points?
| 37 | |
| 24 | |
| 29 | |
| 43 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 20 x \( \frac{65}{100} \) = \( \frac{65 x 20}{100} \) = \( \frac{1300}{100} \) = 13 shots
The center makes 45% of his shots so he'll have to take:
shots made = shots taken x \( \frac{\text{% made}}{100} \)
shots taken = \( \frac{\text{shots taken}}{\frac{\text{% made}}{100}} \)
to make as many shots as the guard. Plugging in values for the center gives us:
center shots taken = \( \frac{13}{\frac{45}{100}} \) = 13 x \( \frac{100}{45} \) = \( \frac{13 x 100}{45} \) = \( \frac{1300}{45} \) = 29 shots
to make the same number of shots as the guard and thus score the same number of points.