| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.25 |
| Score | 0% | 65% |
How many hours does it take a car to travel 455 miles at an average speed of 65 miles per hour?
| 3 hours | |
| 6 hours | |
| 5 hours | |
| 7 hours |
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 time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{455mi}{65mph} \)
7 hours
Simplify \( \sqrt{63} \)
| 2\( \sqrt{14} \) | |
| 8\( \sqrt{7} \) | |
| 4\( \sqrt{14} \) | |
| 3\( \sqrt{7} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{63} \)
\( \sqrt{9 \times 7} \)
\( \sqrt{3^2 \times 7} \)
3\( \sqrt{7} \)
A tiger in a zoo has consumed 77 pounds of food in 11 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 105 pounds?
| 13 | |
| 11 | |
| 8 | |
| 4 |
If the tiger has consumed 77 pounds of food in 11 days that's \( \frac{77}{11} \) = 7 pounds of food per day. The tiger needs to consume 105 - 77 = 28 more pounds of food to reach 105 pounds total. At 7 pounds of food per day that's \( \frac{28}{7} \) = 4 more days.
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
distributive |
|
commutative |
|
associative |
|
PEDMAS |
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.
A bread recipe calls for 1\(\frac{7}{8}\) cups of flour. If you only have \(\frac{1}{8}\) cup, how much more flour is needed?
| 3\(\frac{1}{8}\) cups | |
| 1\(\frac{3}{4}\) cups | |
| 2\(\frac{3}{4}\) cups | |
| 3\(\frac{5}{8}\) cups |
The amount of flour you need is (1\(\frac{7}{8}\) - \(\frac{1}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{15}{8} \) - \( \frac{1}{8} \)) cups
\( \frac{14}{8} \) cups
1\(\frac{3}{4}\) cups