| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.48 |
| Score | 0% | 70% |
A triathlon course includes a 400m swim, a 30.4km bike ride, and a 6.1000000000000005km run. What is the total length of the race course?
| 36.9km | |
| 44.9km | |
| 38.4km | |
| 43.9km |
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 + 30.4km + 6.1000000000000005km
total distance = 36.9km
A factor is a positive __________ that divides evenly into a given number.
integer |
|
mixed number |
|
improper fraction |
|
fraction |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
A tiger in a zoo has consumed 78 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 169 pounds?
| 9 | |
| 2 | |
| 7 | |
| 4 |
If the tiger has consumed 78 pounds of food in 6 days that's \( \frac{78}{6} \) = 13 pounds of food per day. The tiger needs to consume 169 - 78 = 91 more pounds of food to reach 169 pounds total. At 13 pounds of food per day that's \( \frac{91}{13} \) = 7 more days.
How many hours does it take a car to travel 175 miles at an average speed of 35 miles per hour?
| 8 hours | |
| 2 hours | |
| 5 hours | |
| 1 hour |
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 = \( \frac{175mi}{35mph} \)
5 hours
The total water usage for a city is 20,000 gallons each day. Of that total, 24% is for personal use and 53% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 8,400 | |
| 5,800 | |
| 500 | |
| 8,500 |
53% of the water consumption is industrial use and 24% is personal use so (53% - 24%) = 29% more water is used for industrial purposes. 20,000 gallons are consumed daily so industry consumes \( \frac{29}{100} \) x 20,000 gallons = 5,800 gallons.