| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.22 |
| Score | 0% | 64% |
Find the average of the following numbers: 8, 4, 7, 5.
| 6 | |
| 9 | |
| 3 | |
| 1 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{8 + 4 + 7 + 5}{4} \) = \( \frac{24}{4} \) = 6
A triathlon course includes a 200m swim, a 20.8km bike ride, and a 11.200000000000001km run. What is the total length of the race course?
| 57km | |
| 32.2km | |
| 58km | |
| 28.5km |
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 200 meters to kilometers, divide the distance by 1000 to get 0.2km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.2km + 20.8km + 11.200000000000001km
total distance = 32.2km
What is \( \frac{6a^6}{2a^3} \)?
| 3a2 | |
| 3a-3 | |
| \(\frac{1}{3}\)a9 | |
| 3a3 |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{6a^6}{2a^3} \)
\( \frac{6}{2} \) a(6 - 3)
3a3
A tiger in a zoo has consumed 112 pounds of food in 8 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 196 pounds?
| 5 | |
| 4 | |
| 6 | |
| 3 |
If the tiger has consumed 112 pounds of food in 8 days that's \( \frac{112}{8} \) = 14 pounds of food per day. The tiger needs to consume 196 - 112 = 84 more pounds of food to reach 196 pounds total. At 14 pounds of food per day that's \( \frac{84}{14} \) = 6 more days.
In a class of 22 students, 10 are taking German and 10 are taking Spanish. Of the students studying German or Spanish, 4 are taking both courses. How many students are not enrolled in either course?
| 22 | |
| 14 | |
| 6 | |
| 15 |
The number of students taking German or Spanish is 10 + 10 = 20. Of that group of 20, 4 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 20 - 4 = 16 who are taking at least one language. 22 - 16 = 6 students who are not taking either language.