| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.84 |
| Score | 0% | 77% |
Monty loaned Ezra $900 at an annual interest rate of 8%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $27 | |
| $75 | |
| $72 | |
| $24 |
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 $900
i = 0.08 x $900
i = $72
What is the distance in miles of a trip that takes 6 hours at an average speed of 50 miles per hour?
| 600 miles | |
| 300 miles | |
| 210 miles | |
| 20 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 = \( 50mph \times 6h \)
300 miles
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 triathlon course includes a 200m swim, a 20.4km bike ride, and a 9.8km run. What is the total length of the race course?
| 30.4km | |
| 32.8km | |
| 30.6km | |
| 38.1km |
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 + 20.4km + 9.8km
total distance = 30.4km
Simplify \( \frac{16}{44} \).
| \( \frac{5}{18} \) | |
| \( \frac{4}{13} \) | |
| \( \frac{1}{3} \) | |
| \( \frac{4}{11} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 16 are [1, 2, 4, 8, 16] and the factors of 44 are [1, 2, 4, 11, 22, 44]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{16}{44} \) = \( \frac{\frac{16}{4}}{\frac{44}{4}} \) = \( \frac{4}{11} \)