| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.49 |
| Score | 0% | 70% |
A tiger in a zoo has consumed 72 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 120 pounds?
| 6 | |
| 4 | |
| 7 | |
| 10 |
If the tiger has consumed 72 pounds of food in 6 days that's \( \frac{72}{6} \) = 12 pounds of food per day. The tiger needs to consume 120 - 72 = 48 more pounds of food to reach 120 pounds total. At 12 pounds of food per day that's \( \frac{48}{12} \) = 4 more days.
What is \( \frac{14\sqrt{8}}{2\sqrt{4}} \)?
| 7 \( \sqrt{\frac{1}{2}} \) | |
| 7 \( \sqrt{2} \) | |
| \(\frac{1}{2}\) \( \sqrt{7} \) | |
| \(\frac{1}{2}\) \( \sqrt{\frac{1}{7}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{14\sqrt{8}}{2\sqrt{4}} \)
\( \frac{14}{2} \) \( \sqrt{\frac{8}{4}} \)
7 \( \sqrt{2} \)
What is the distance in miles of a trip that takes 1 hour at an average speed of 35 miles per hour?
| 180 miles | |
| 65 miles | |
| 245 miles | |
| 35 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 = \( 35mph \times 1h \)
35 miles
A bread recipe calls for 2 cups of flour. If you only have 1\(\frac{1}{4}\) cups, how much more flour is needed?
| 1\(\frac{1}{8}\) cups | |
| \(\frac{3}{4}\) cups | |
| 3 cups | |
| 2\(\frac{3}{8}\) cups |
The amount of flour you need is (2 - 1\(\frac{1}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{16}{8} \) - \( \frac{10}{8} \)) cups
\( \frac{6}{8} \) cups
\(\frac{3}{4}\) cups
What is the least common multiple of 6 and 10?
| 30 | |
| 56 | |
| 16 | |
| 26 |
The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [30, 60, 90] making 30 the smallest multiple 6 and 10 have in common.