| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.72 |
| Score | 0% | 54% |
On average, the center for a basketball team hits 30% of his shots while a guard on the same team hits 50% 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?
| 33 | |
| 48 | |
| 18 | |
| 22 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 20 x \( \frac{50}{100} \) = \( \frac{50 x 20}{100} \) = \( \frac{1000}{100} \) = 10 shots
The center makes 30% 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 = \( \frac{10}{\frac{30}{100}} \) = 10 x \( \frac{100}{30} \) = \( \frac{10 x 100}{30} \) = \( \frac{1000}{30} \) = 33 shots
to make the same number of shots as the guard and thus score the same number of points.
Simplify \( \sqrt{32} \)
| 4\( \sqrt{2} \) | |
| 6\( \sqrt{4} \) | |
| 7\( \sqrt{2} \) | |
| 5\( \sqrt{4} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{32} \)
\( \sqrt{16 \times 2} \)
\( \sqrt{4^2 \times 2} \)
4\( \sqrt{2} \)
If \(\left|a\right| = 7\), which of the following best describes a?
a = 7 or a = -7 |
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a = 7 |
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none of these is correct |
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a = -7 |
The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).
Cooks are needed to prepare for a large party. Each cook can bake either 3 large cakes or 18 small cakes per hour. The kitchen is available for 4 hours and 35 large cakes and 300 small cakes need to be baked.
How many cooks are required to bake the required number of cakes during the time the kitchen is available?
| 8 | |
| 10 | |
| 6 | |
| 12 |
If a single cook can bake 3 large cakes per hour and the kitchen is available for 4 hours, a single cook can bake 3 x 4 = 12 large cakes during that time. 35 large cakes are needed for the party so \( \frac{35}{12} \) = 2\(\frac{11}{12}\) cooks are needed to bake the required number of large cakes.
If a single cook can bake 18 small cakes per hour and the kitchen is available for 4 hours, a single cook can bake 18 x 4 = 72 small cakes during that time. 300 small cakes are needed for the party so \( \frac{300}{72} \) = 4\(\frac{1}{6}\) cooks are needed to bake the required number of small cakes.
Because you can't employ a fractional cook, round the number of cooks needed for each type of cake up to the next whole number resulting in 3 + 5 = 8 cooks.
Diane scored 80% on her final exam. If each question was worth 4 points and there were 400 possible points on the exam, how many questions did Diane answer correctly?
| 80 | |
| 85 | |
| 82 | |
| 65 |
Diane scored 80% on the test meaning she earned 80% of the possible points on the test. There were 400 possible points on the test so she earned 400 x 0.8 = 320 points. Each question is worth 4 points so she got \( \frac{320}{4} \) = 80 questions right.