| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
A triathlon course includes a 300m swim, a 20.9km bike ride, and a 11.600000000000001km run. What is the total length of the race course?
| 44.4km | |
| 32.8km | |
| 40.7km | |
| 51km |
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 300 meters to kilometers, divide the distance by 1000 to get 0.3km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.3km + 20.9km + 11.600000000000001km
total distance = 32.8km
Find the average of the following numbers: 14, 6, 12, 8.
| 5 | |
| 13 | |
| 10 | |
| 15 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{14 + 6 + 12 + 8}{4} \) = \( \frac{40}{4} \) = 10
The __________ is the smallest positive integer that is a multiple of two or more integers.
greatest common factor |
|
absolute value |
|
least common multiple |
|
least common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
If a mayor is elected with 84% of the votes cast and 48% of a town's 41,000 voters cast a vote, how many votes did the mayor receive?
| 16,531 | |
| 12,005 | |
| 14,170 | |
| 16,334 |
If 48% of the town's 41,000 voters cast ballots the number of votes cast is:
(\( \frac{48}{100} \)) x 41,000 = \( \frac{1,968,000}{100} \) = 19,680
The mayor got 84% of the votes cast which is:
(\( \frac{84}{100} \)) x 19,680 = \( \frac{1,653,120}{100} \) = 16,531 votes.
What is the distance in miles of a trip that takes 7 hours at an average speed of 20 miles per hour?
| 140 miles | |
| 320 miles | |
| 15 miles | |
| 375 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 = \( 20mph \times 7h \)
140 miles