| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.27 |
| Score | 0% | 65% |
Find the average of the following numbers: 16, 10, 15, 11.
| 18 | |
| 17 | |
| 15 | |
| 13 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{16 + 10 + 15 + 11}{4} \) = \( \frac{52}{4} \) = 13
What is \( \frac{28\sqrt{56}}{4\sqrt{8}} \)?
| 7 \( \sqrt{\frac{1}{7}} \) | |
| \(\frac{1}{7}\) \( \sqrt{7} \) | |
| \(\frac{1}{7}\) \( \sqrt{\frac{1}{7}} \) | |
| 7 \( \sqrt{7} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{28\sqrt{56}}{4\sqrt{8}} \)
\( \frac{28}{4} \) \( \sqrt{\frac{56}{8}} \)
7 \( \sqrt{7} \)
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 25 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?
| 22 | |
| 31 | |
| 30 | |
| 20 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 25 x \( \frac{50}{100} \) = \( \frac{50 x 25}{100} \) = \( \frac{1250}{100} \) = 12 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 = \( \frac{12}{\frac{40}{100}} \) = 12 x \( \frac{100}{40} \) = \( \frac{12 x 100}{40} \) = \( \frac{1200}{40} \) = 30 shots
to make the same number of shots as the guard and thus score the same number of points.
How many 13-passenger vans will it take to drive all 42 members of the football team to an away game?
| 8 vans | |
| 3 vans | |
| 4 vans | |
| 7 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{42}{13} \) = 3\(\frac{3}{13}\)
So, it will take 3 full vans and one partially full van to transport the entire team making a total of 4 vans.
A tiger in a zoo has consumed 10 pounds of food in 2 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 45 pounds?
| 5 | |
| 9 | |
| 2 | |
| 7 |
If the tiger has consumed 10 pounds of food in 2 days that's \( \frac{10}{2} \) = 5 pounds of food per day. The tiger needs to consume 45 - 10 = 35 more pounds of food to reach 45 pounds total. At 5 pounds of food per day that's \( \frac{35}{5} \) = 7 more days.