| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.43 |
| Score | 0% | 69% |
What is the distance in miles of a trip that takes 2 hours at an average speed of 35 miles per hour?
| 70 miles | |
| 125 miles | |
| 525 miles | |
| 200 miles |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 35mph \times 2h \)
70 miles
9 members of a bridal party need transported to a wedding reception but there are only 3 2-passenger taxis available to take them. How many will need to find other transportation?
| 2 | |
| 7 | |
| 8 | |
| 3 |
There are 3 2-passenger taxis available so that's 3 x 2 = 6 total seats. There are 9 people needing transportation leaving 9 - 6 = 3 who will have to find other transportation.
Simplify \( \sqrt{125} \)
| 4\( \sqrt{5} \) | |
| 5\( \sqrt{5} \) | |
| 2\( \sqrt{10} \) | |
| 9\( \sqrt{5} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{125} \)
\( \sqrt{25 \times 5} \)
\( \sqrt{5^2 \times 5} \)
5\( \sqrt{5} \)
On average, the center for a basketball team hits 50% of his shots while a guard on the same team hits 60% of his shots. If the guard takes 15 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?
| 18 | |
| 45 | |
| 30 | |
| 22 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 15 x \( \frac{60}{100} \) = \( \frac{60 x 15}{100} \) = \( \frac{900}{100} \) = 9 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 = \( \frac{9}{\frac{50}{100}} \) = 9 x \( \frac{100}{50} \) = \( \frac{9 x 100}{50} \) = \( \frac{900}{50} \) = 18 shots
to make the same number of shots as the guard and thus score the same number of points.
Find the average of the following numbers: 12, 6, 12, 6.
| 5 | |
| 14 | |
| 9 | |
| 11 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{12 + 6 + 12 + 6}{4} \) = \( \frac{36}{4} \) = 9