| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.92 |
| Score | 0% | 58% |
Which of these numbers is a factor of 48?
| 50 | |
| 12 | |
| 3 | |
| 38 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
If a mayor is elected with 83% of the votes cast and 78% of a town's 19,000 voters cast a vote, how many votes did the mayor receive?
| 12,301 | |
| 12,152 | |
| 8,299 | |
| 7,706 |
If 78% of the town's 19,000 voters cast ballots the number of votes cast is:
(\( \frac{78}{100} \)) x 19,000 = \( \frac{1,482,000}{100} \) = 14,820
The mayor got 83% of the votes cast which is:
(\( \frac{83}{100} \)) x 14,820 = \( \frac{1,230,060}{100} \) = 12,301 votes.
A tiger in a zoo has consumed 78 pounds of food in 6 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 117 pounds?
| 5 | |
| 7 | |
| 3 | |
| 9 |
If the tiger has consumed 78 pounds of food in 6 days that's \( \frac{78}{6} \) = 13 pounds of food per day. The tiger needs to consume 117 - 78 = 39 more pounds of food to reach 117 pounds total. At 13 pounds of food per day that's \( \frac{39}{13} \) = 3 more days.
What is \( 9 \)\( \sqrt{18} \) + \( 5 \)\( \sqrt{2} \)
| 45\( \sqrt{2} \) | |
| 14\( \sqrt{18} \) | |
| 14\( \sqrt{9} \) | |
| 32\( \sqrt{2} \) |
To add these radicals together their radicands must be the same:
9\( \sqrt{18} \) + 5\( \sqrt{2} \)
9\( \sqrt{9 \times 2} \) + 5\( \sqrt{2} \)
9\( \sqrt{3^2 \times 2} \) + 5\( \sqrt{2} \)
(9)(3)\( \sqrt{2} \) + 5\( \sqrt{2} \)
27\( \sqrt{2} \) + 5\( \sqrt{2} \)
Now that the radicands are identical, you can add them together:
27\( \sqrt{2} \) + 5\( \sqrt{2} \)How many 8-passenger vans will it take to drive all 44 members of the football team to an away game?
| 3 vans | |
| 4 vans | |
| 6 vans | |
| 8 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{44}{8} \) = 5\(\frac{1}{2}\)
So, it will take 5 full vans and one partially full van to transport the entire team making a total of 6 vans.