| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.16 |
| Score | 0% | 63% |
Latoya scored 91% on her final exam. If each question was worth 2 points and there were 200 possible points on the exam, how many questions did Latoya answer correctly?
| 94 | |
| 103 | |
| 91 | |
| 77 |
Latoya scored 91% on the test meaning she earned 91% of the possible points on the test. There were 200 possible points on the test so she earned 200 x 0.91 = 182 points. Each question is worth 2 points so she got \( \frac{182}{2} \) = 91 questions right.
On average, the center for a basketball team hits 50% of his shots while a guard on the same team hits 55% 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?
| 31 | |
| 19 | |
| 22 | |
| 46 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 20 x \( \frac{55}{100} \) = \( \frac{55 x 20}{100} \) = \( \frac{1100}{100} \) = 11 shots
The center makes 50% 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 = \( \frac{11}{\frac{50}{100}} \) = 11 x \( \frac{100}{50} \) = \( \frac{11 x 100}{50} \) = \( \frac{1100}{50} \) = 22 shots
to make the same number of shots as the guard and thus score the same number of points.
Alex loaned Latoya $700 at an annual interest rate of 2%. If no payments are made, what is the total amount owed at the end of the first year?
| $707 | |
| $714 | |
| $756 | |
| $735 |
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 $700
i = 0.02 x $700
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $700 + $14Find the average of the following numbers: 16, 12, 17, 11.
| 14 | |
| 17 | |
| 15 | |
| 18 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{16 + 12 + 17 + 11}{4} \) = \( \frac{56}{4} \) = 14
Which of these numbers is a factor of 32?
| 32 | |
| 2 | |
| 14 | |
| 28 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 32 are 1, 2, 4, 8, 16, 32.