| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.36 |
| Score | 0% | 67% |
What is \( \frac{20\sqrt{24}}{4\sqrt{6}} \)?
| 4 \( \sqrt{5} \) | |
| 4 \( \sqrt{\frac{1}{5}} \) | |
| 5 \( \sqrt{4} \) | |
| \(\frac{1}{5}\) \( \sqrt{\frac{1}{4}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{20\sqrt{24}}{4\sqrt{6}} \)
\( \frac{20}{4} \) \( \sqrt{\frac{24}{6}} \)
5 \( \sqrt{4} \)
If a car travels 360 miles in 8 hours, what is the average speed?
| 75 mph | |
| 45 mph | |
| 40 mph | |
| 35 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
PEDMAS |
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distributive |
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associative |
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commutative |
The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.
Which of the following is not a prime number?
9 |
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7 |
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5 |
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2 |
A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.
A tiger in a zoo has consumed 63 pounds of food in 9 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 98 pounds?
| 14 | |
| 9 | |
| 5 | |
| 8 |
If the tiger has consumed 63 pounds of food in 9 days that's \( \frac{63}{9} \) = 7 pounds of food per day. The tiger needs to consume 98 - 63 = 35 more pounds of food to reach 98 pounds total. At 7 pounds of food per day that's \( \frac{35}{7} \) = 5 more days.