| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.88 |
| Score | 0% | 58% |
On average, the center for a basketball team hits 45% of his shots while a guard on the same team hits 50% of his shots. If the guard takes 15 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?
| 16 | |
| 17 | |
| 33 | |
| 13 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 15 x \( \frac{50}{100} \) = \( \frac{50 x 15}{100} \) = \( \frac{750}{100} \) = 7 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 = \( \frac{7}{\frac{45}{100}} \) = 7 x \( \frac{100}{45} \) = \( \frac{7 x 100}{45} \) = \( \frac{700}{45} \) = 16 shots
to make the same number of shots as the guard and thus score the same number of points.
Which of the following is an improper fraction?
\(1 {2 \over 5} \) |
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\({a \over 5} \) |
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\({2 \over 5} \) |
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\({7 \over 5} \) |
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.
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common multiple |
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least common factor |
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absolute value |
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greatest common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
If the ratio of home fans to visiting fans in a crowd is 5:1 and all 30,000 seats in a stadium are filled, how many home fans are in attendance?
| 25,600 | |
| 25,000 | |
| 28,667 | |
| 26,667 |
A ratio of 5:1 means that there are 5 home fans for every one visiting fan. So, of every 6 fans, 5 are home fans and \( \frac{5}{6} \) of every fan in the stadium is a home fan:
30,000 fans x \( \frac{5}{6} \) = \( \frac{150000}{6} \) = 25,000 fans.
Convert a-5 to remove the negative exponent.
| \( \frac{1}{a^5} \) | |
| \( \frac{5}{a} \) | |
| \( \frac{1}{a^{-5}} \) | |
| \( \frac{-5}{a} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.