| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.62 |
| Score | 0% | 72% |
How many hours does it take a car to travel 30 miles at an average speed of 15 miles per hour?
| 1 hour | |
| 4 hours | |
| 2 hours | |
| 5 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 = \( \frac{30mi}{15mph} \)
2 hours
Solve for \( \frac{3!}{6!} \)
| 5 | |
| 3024 | |
| \( \frac{1}{120} \) | |
| 8 |
A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:
\( \frac{3!}{6!} \)
\( \frac{3 \times 2 \times 1}{6 \times 5 \times 4 \times 3 \times 2 \times 1} \)
\( \frac{1}{6 \times 5 \times 4} \)
\( \frac{1}{120} \)
A triathlon course includes a 100m swim, a 30.8km bike ride, and a 7.300000000000001km run. What is the total length of the race course?
| 31.4km | |
| 32.1km | |
| 54.3km | |
| 38.2km |
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 100 meters to kilometers, divide the distance by 1000 to get 0.1km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.1km + 30.8km + 7.300000000000001km
total distance = 38.2km
Frank loaned Monica $400 at an annual interest rate of 6%. If no payments are made, what is the total amount owed at the end of the first year?
| $408 | |
| $412 | |
| $424 | |
| $436 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $400
i = 0.06 x $400
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $400 + $24Which of the following is an improper fraction?
\({7 \over 5} \) |
|
\(1 {2 \over 5} \) |
|
\({a \over 5} \) |
|
\({2 \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.