| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.96 |
| Score | 0% | 59% |
Monica scored 77% on her final exam. If each question was worth 4 points and there were 280 possible points on the exam, how many questions did Monica answer correctly?
| 58 | |
| 64 | |
| 54 | |
| 47 |
Monica scored 77% on the test meaning she earned 77% of the possible points on the test. There were 280 possible points on the test so she earned 280 x 0.77 = 216 points. Each question is worth 4 points so she got \( \frac{216}{4} \) = 54 questions right.
On average, the center for a basketball team hits 45% of his shots while a guard on the same team hits 55% 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 | |
| 11 | |
| 15 | |
| 9 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 10 x \( \frac{55}{100} \) = \( \frac{55 x 10}{100} \) = \( \frac{550}{100} \) = 5 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 = \( \frac{5}{\frac{45}{100}} \) = 5 x \( \frac{100}{45} \) = \( \frac{5 x 100}{45} \) = \( \frac{500}{45} \) = 11 shots
to make the same number of shots as the guard and thus score the same number of points.
What is 3\( \sqrt{7} \) x 3\( \sqrt{6} \)?
| 9\( \sqrt{7} \) | |
| 6\( \sqrt{6} \) | |
| 9\( \sqrt{42} \) | |
| 6\( \sqrt{42} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
3\( \sqrt{7} \) x 3\( \sqrt{6} \)
(3 x 3)\( \sqrt{7 \times 6} \)
9\( \sqrt{42} \)
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 45% off." If Damon buys two shirts, each with a regular price of $50, how much money will he save?
| $22.50 | |
| $12.50 | |
| $5.00 | |
| $25.00 |
By buying two shirts, Damon will save $50 x \( \frac{45}{100} \) = \( \frac{$50 x 45}{100} \) = \( \frac{$2250}{100} \) = $22.50 on the second shirt.
If a car travels 360 miles in 8 hours, what is the average speed?
| 55 mph | |
| 50 mph | |
| 45 mph | |
| 15 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)