| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.57 |
| Score | 0% | 71% |
A triathlon course includes a 500m swim, a 50.5km bike ride, and a 2.6km run. What is the total length of the race course?
| 53.6km | |
| 51.1km | |
| 29km | |
| 33km |
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 500 meters to kilometers, divide the distance by 1000 to get 0.5km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.5km + 50.5km + 2.6km
total distance = 53.6km
How many hours does it take a car to travel 160 miles at an average speed of 40 miles per hour?
| 2 hours | |
| 9 hours | |
| 3 hours | |
| 4 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 = \( \frac{160mi}{40mph} \)
4 hours
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
PEDMAS |
|
distributive |
|
commutative |
|
associative |
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.
4! = ?
4 x 3 |
|
5 x 4 x 3 x 2 x 1 |
|
3 x 2 x 1 |
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4 x 3 x 2 x 1 |
A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
The total water usage for a city is 15,000 gallons each day. Of that total, 10% is for personal use and 39% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 750 | |
| 6,000 | |
| 1,200 | |
| 4,350 |
39% of the water consumption is industrial use and 10% is personal use so (39% - 10%) = 29% more water is used for industrial purposes. 15,000 gallons are consumed daily so industry consumes \( \frac{29}{100} \) x 15,000 gallons = 4,350 gallons.