| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.22 |
| Score | 0% | 64% |
What is (a3)3?
| a0 | |
| a9 | |
| 3a3 | |
| a6 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(a3)3On average, the center for a basketball team hits 35% of his shots while a guard on the same team hits 50% of his shots. If the guard takes 30 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?
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| 43 | |
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| 63 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 30 x \( \frac{50}{100} \) = \( \frac{50 x 30}{100} \) = \( \frac{1500}{100} \) = 15 shots
The center makes 35% 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 = \( \frac{15}{\frac{35}{100}} \) = 15 x \( \frac{100}{35} \) = \( \frac{15 x 100}{35} \) = \( \frac{1500}{35} \) = 43 shots
to make the same number of shots as the guard and thus score the same number of points.
A tiger in a zoo has consumed 48 pounds of food in 8 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 84 pounds?
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| 14 | |
| 6 | |
| 47 |
If the tiger has consumed 48 pounds of food in 8 days that's \( \frac{48}{8} \) = 6 pounds of food per day. The tiger needs to consume 84 - 48 = 36 more pounds of food to reach 84 pounds total. At 6 pounds of food per day that's \( \frac{36}{6} \) = 6 more days.
Which of the following is a mixed number?
\({a \over 5} \) |
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\({5 \over 7} \) |
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\({7 \over 5} \) |
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\(1 {2 \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.
Diane scored 88% on her final exam. If each question was worth 4 points and there were 160 possible points on the exam, how many questions did Diane answer correctly?
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| 38 | |
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| 35 |
Diane scored 88% on the test meaning she earned 88% of the possible points on the test. There were 160 possible points on the test so she earned 160 x 0.88 = 140 points. Each question is worth 4 points so she got \( \frac{140}{4} \) = 35 questions right.