| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.07 |
| Score | 0% | 61% |
A tiger in a zoo has consumed 66 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 99 pounds?
| 2 | |
| 5 | |
| 3 | |
| 1 |
If the tiger has consumed 66 pounds of food in 6 days that's \( \frac{66}{6} \) = 11 pounds of food per day. The tiger needs to consume 99 - 66 = 33 more pounds of food to reach 99 pounds total. At 11 pounds of food per day that's \( \frac{33}{11} \) = 3 more days.
A bread recipe calls for 2\(\frac{7}{8}\) cups of flour. If you only have 1\(\frac{3}{8}\) cups, how much more flour is needed?
| 2\(\frac{3}{8}\) cups | |
| 1 cups | |
| 1\(\frac{1}{2}\) cups | |
| 1\(\frac{1}{4}\) cups |
The amount of flour you need is (2\(\frac{7}{8}\) - 1\(\frac{3}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{23}{8} \) - \( \frac{11}{8} \)) cups
\( \frac{12}{8} \) cups
1\(\frac{1}{2}\) cups
Which of these numbers is a factor of 56?
| 30 | |
| 59 | |
| 7 | |
| 25 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56.
What is \( 6 \)\( \sqrt{27} \) - \( 5 \)\( \sqrt{3} \)
| 30\( \sqrt{3} \) | |
| 13\( \sqrt{3} \) | |
| 30\( \sqrt{27} \) | |
| \( \sqrt{81} \) |
To subtract these radicals together their radicands must be the same:
6\( \sqrt{27} \) - 5\( \sqrt{3} \)
6\( \sqrt{9 \times 3} \) - 5\( \sqrt{3} \)
6\( \sqrt{3^2 \times 3} \) - 5\( \sqrt{3} \)
(6)(3)\( \sqrt{3} \) - 5\( \sqrt{3} \)
18\( \sqrt{3} \) - 5\( \sqrt{3} \)
Now that the radicands are identical, you can subtract them:
18\( \sqrt{3} \) - 5\( \sqrt{3} \)How many 6-passenger vans will it take to drive all 46 members of the football team to an away game?
| 3 vans | |
| 2 vans | |
| 8 vans | |
| 6 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{46}{6} \) = 7\(\frac{2}{3}\)
So, it will take 7 full vans and one partially full van to transport the entire team making a total of 8 vans.