| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.07 |
| Score | 0% | 61% |
On average, the center for a basketball team hits 35% of his shots while a guard on the same team hits 45% 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?
| 8 | |
| 14 | |
| 17 | |
| 11 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 10 x \( \frac{45}{100} \) = \( \frac{45 x 10}{100} \) = \( \frac{450}{100} \) = 4 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 = \( \frac{4}{\frac{35}{100}} \) = 4 x \( \frac{100}{35} \) = \( \frac{4 x 100}{35} \) = \( \frac{400}{35} \) = 11 shots
to make the same number of shots as the guard and thus score the same number of points.
Frank loaned Diane $100 at an annual interest rate of 5%. If no payments are made, what is the total amount owed at the end of the first year?
| $103 | |
| $105 | |
| $106 | |
| $104 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $100
i = 0.05 x $100
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $100 + $5What is \( \sqrt{\frac{64}{9}} \)?
| 2 | |
| 1\(\frac{3}{5}\) | |
| 2\(\frac{2}{3}\) | |
| \(\frac{5}{8}\) |
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:
\( \sqrt{\frac{64}{9}} \)
\( \frac{\sqrt{64}}{\sqrt{9}} \)
\( \frac{\sqrt{8^2}}{\sqrt{3^2}} \)
\( \frac{8}{3} \)
2\(\frac{2}{3}\)
Which of these numbers is a factor of 56?
| 15 | |
| 56 | |
| 16 | |
| 1 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56.
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common factor |
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least common multiple |
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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.