| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.07 |
| Score | 0% | 61% |
Diane scored 90% on her final exam. If each question was worth 2 points and there were 60 possible points on the exam, how many questions did Diane answer correctly?
| 41 | |
| 42 | |
| 27 | |
| 26 |
Diane scored 90% on the test meaning she earned 90% of the possible points on the test. There were 60 possible points on the test so she earned 60 x 0.9 = 54 points. Each question is worth 2 points so she got \( \frac{54}{2} \) = 27 questions right.
What is \( \frac{2}{9} \) ÷ \( \frac{1}{6} \)?
| \(\frac{6}{25}\) | |
| 12 | |
| 1\(\frac{1}{3}\) | |
| \(\frac{1}{28}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{2}{9} \) ÷ \( \frac{1}{6} \) = \( \frac{2}{9} \) x \( \frac{6}{1} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{9} \) x \( \frac{6}{1} \) = \( \frac{2 x 6}{9 x 1} \) = \( \frac{12}{9} \) = 1\(\frac{1}{3}\)
If a car travels 405 miles in 9 hours, what is the average speed?
| 45 mph | |
| 40 mph | |
| 35 mph | |
| 30 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)On average, the center for a basketball team hits 40% 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?
| 31 | |
| 58 | |
| 48 | |
| 38 |
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 40% 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 = \( \frac{15}{\frac{40}{100}} \) = 15 x \( \frac{100}{40} \) = \( \frac{15 x 100}{40} \) = \( \frac{1500}{40} \) = 38 shots
to make the same number of shots as the guard and thus score the same number of points.
Solve 5 + (3 + 2) ÷ 3 x 5 - 22
| 9\(\frac{1}{3}\) | |
| \(\frac{6}{7}\) | |
| \(\frac{5}{6}\) | |
| \(\frac{5}{9}\) |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
5 + (3 + 2) ÷ 3 x 5 - 22
P: 5 + (5) ÷ 3 x 5 - 22
E: 5 + 5 ÷ 3 x 5 - 4
MD: 5 + \( \frac{5}{3} \) x 5 - 4
MD: 5 + \( \frac{25}{3} \) - 4
AS: \( \frac{15}{3} \) + \( \frac{25}{3} \) - 4
AS: \( \frac{40}{3} \) - 4
AS: \( \frac{40 - 12}{3} \)
\( \frac{28}{3} \)
9\(\frac{1}{3}\)