| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.89 |
| Score | 0% | 58% |
The __________ is the smallest positive integer that is a multiple of two or more integers.
absolute value |
|
least common factor |
|
least common multiple |
|
greatest common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
Ezra loaned Frank $1,500 at an annual interest rate of 8%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $48 | |
| $120 | |
| $104 | |
| $117 |
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 $1,500
i = 0.08 x $1,500
i = $120
Convert c-4 to remove the negative exponent.
| \( \frac{4}{c} \) | |
| \( \frac{-1}{c^{-4}} \) | |
| \( \frac{-4}{-c} \) | |
| \( \frac{1}{c^4} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
If a mayor is elected with 67% of the votes cast and 82% of a town's 49,000 voters cast a vote, how many votes did the mayor receive?
| 26,921 | |
| 33,751 | |
| 33,349 | |
| 20,492 |
If 82% of the town's 49,000 voters cast ballots the number of votes cast is:
(\( \frac{82}{100} \)) x 49,000 = \( \frac{4,018,000}{100} \) = 40,180
The mayor got 67% of the votes cast which is:
(\( \frac{67}{100} \)) x 40,180 = \( \frac{2,692,060}{100} \) = 26,921 votes.
On average, the center for a basketball team hits 30% 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?
| 17 | |
| 7 | |
| 13 | |
| 8 |
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 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 = \( \frac{4}{\frac{30}{100}} \) = 4 x \( \frac{100}{30} \) = \( \frac{4 x 100}{30} \) = \( \frac{400}{30} \) = 13 shots
to make the same number of shots as the guard and thus score the same number of points.