| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.48 |
| Score | 0% | 70% |
Simplify \( \sqrt{112} \)
| 9\( \sqrt{7} \) | |
| 4\( \sqrt{7} \) | |
| 4\( \sqrt{14} \) | |
| 6\( \sqrt{14} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{112} \)
\( \sqrt{16 \times 7} \)
\( \sqrt{4^2 \times 7} \)
4\( \sqrt{7} \)
a(b + c) = ab + ac defines which of the following?
distributive property for division |
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commutative property for division |
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distributive property for multiplication |
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commutative property for multiplication |
The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.
What is the distance in miles of a trip that takes 9 hours at an average speed of 15 miles per hour?
| 225 miles | |
| 135 miles | |
| 325 miles | |
| 90 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 = \( 15mph \times 9h \)
135 miles
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 98 pounds?
| 12 | |
| 7 | |
| 10 | |
| 3 |
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 98 - 77 = 21 more pounds of food to reach 98 pounds total. At 7 pounds of food per day that's \( \frac{21}{7} \) = 3 more days.
A triathlon course includes a 400m swim, a 40.9km bike ride, and a 8.0km run. What is the total length of the race course?
| 49.3km | |
| 37.2km | |
| 54.8km | |
| 54.4km |
To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 400 meters to kilometers, divide the distance by 1000 to get 0.4km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.4km + 40.9km + 8.0km
total distance = 49.3km