| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.12 |
| Score | 0% | 62% |
What is \( \sqrt{\frac{49}{36}} \)?
| 1\(\frac{1}{6}\) | |
| 1\(\frac{1}{2}\) | |
| \(\frac{3}{5}\) | |
| \(\frac{2}{3}\) |
To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:
\( \sqrt{\frac{49}{36}} \)
\( \frac{\sqrt{49}}{\sqrt{36}} \)
\( \frac{\sqrt{7^2}}{\sqrt{6^2}} \)
\( \frac{7}{6} \)
1\(\frac{1}{6}\)
April scored 76% on her final exam. If each question was worth 3 points and there were 210 possible points on the exam, how many questions did April answer correctly?
| 60 | |
| 53 | |
| 67 | |
| 43 |
April scored 76% on the test meaning she earned 76% of the possible points on the test. There were 210 possible points on the test so she earned 210 x 0.76 = 159 points. Each question is worth 3 points so she got \( \frac{159}{3} \) = 53 questions right.
What is the least common multiple of 6 and 14?
| 33 | |
| 9 | |
| 84 | |
| 42 |
The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 14 are [14, 28, 42, 56, 70, 84, 98]. The first few multiples they share are [42, 84] making 42 the smallest multiple 6 and 14 have in common.
Convert c-3 to remove the negative exponent.
| \( \frac{-1}{-3c} \) | |
| \( \frac{1}{c^3} \) | |
| \( \frac{-3}{c} \) | |
| \( \frac{-3}{-c} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
On average, the center for a basketball team hits 40% of his shots while a guard on the same team hits 50% of his shots. If the guard takes 10 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?
| 12 | |
| 22 | |
| 13 | |
| 24 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 10 x \( \frac{50}{100} \) = \( \frac{50 x 10}{100} \) = \( \frac{500}{100} \) = 5 shots
The center makes 40% 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 = \( \frac{5}{\frac{40}{100}} \) = 5 x \( \frac{100}{40} \) = \( \frac{5 x 100}{40} \) = \( \frac{500}{40} \) = 13 shots
to make the same number of shots as the guard and thus score the same number of points.