| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.96 |
| Score | 0% | 59% |
What is \( 5 \)\( \sqrt{50} \) - \( 2 \)\( \sqrt{2} \)
| 23\( \sqrt{2} \) | |
| 10\( \sqrt{50} \) | |
| 3\( \sqrt{100} \) | |
| 10\( \sqrt{100} \) |
To subtract these radicals together their radicands must be the same:
5\( \sqrt{50} \) - 2\( \sqrt{2} \)
5\( \sqrt{25 \times 2} \) - 2\( \sqrt{2} \)
5\( \sqrt{5^2 \times 2} \) - 2\( \sqrt{2} \)
(5)(5)\( \sqrt{2} \) - 2\( \sqrt{2} \)
25\( \sqrt{2} \) - 2\( \sqrt{2} \)
Now that the radicands are identical, you can subtract them:
25\( \sqrt{2} \) - 2\( \sqrt{2} \)A bread recipe calls for 2 cups of flour. If you only have 1\(\frac{1}{4}\) cups, how much more flour is needed?
| \(\frac{3}{4}\) cups | |
| 3\(\frac{3}{8}\) cups | |
| 3\(\frac{1}{4}\) cups | |
| \(\frac{3}{8}\) 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
| 1 | |
| 0.6 | |
| 1.8 | |
| 2.0 |
1
What is the distance in miles of a trip that takes 6 hours at an average speed of 40 miles per hour?
| 225 miles | |
| 150 miles | |
| 120 miles | |
| 240 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 = \( 40mph \times 6h \)
240 miles
A tiger in a zoo has consumed 72 pounds of food in 8 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 108 pounds?
| 9 | |
| 4 | |
| 12 | |
| 11 |
If the tiger has consumed 72 pounds of food in 8 days that's \( \frac{72}{8} \) = 9 pounds of food per day. The tiger needs to consume 108 - 72 = 36 more pounds of food to reach 108 pounds total. At 9 pounds of food per day that's \( \frac{36}{9} \) = 4 more days.