| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.20 |
| Score | 0% | 64% |
On average, the center for a basketball team hits 25% of his shots while a guard on the same team hits 30% 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?
| 7 | |
| 15 | |
| 12 | |
| 5 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 10 x \( \frac{30}{100} \) = \( \frac{30 x 10}{100} \) = \( \frac{300}{100} \) = 3 shots
The center makes 25% 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 = \( \frac{3}{\frac{25}{100}} \) = 3 x \( \frac{100}{25} \) = \( \frac{3 x 100}{25} \) = \( \frac{300}{25} \) = 12 shots
to make the same number of shots as the guard and thus score the same number of points.
| 3.6 | |
| 3.0 | |
| 1 | |
| 4.2 |
1
What is -8x7 x 3x6?
| -5x42 | |
| -24x6 | |
| -5x7 | |
| -24x13 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
-8x7 x 3x6
(-8 x 3)x(7 + 6)
-24x13
If a car travels 150 miles in 2 hours, what is the average speed?
| 25 mph | |
| 30 mph | |
| 75 mph | |
| 45 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Simplify \( \sqrt{125} \)
| 5\( \sqrt{5} \) | |
| 9\( \sqrt{10} \) | |
| 2\( \sqrt{5} \) | |
| 8\( \sqrt{5} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{125} \)
\( \sqrt{25 \times 5} \)
\( \sqrt{5^2 \times 5} \)
5\( \sqrt{5} \)