| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.54 |
| Score | 0% | 71% |
Convert x-5 to remove the negative exponent.
| \( \frac{-1}{x^{-5}} \) | |
| \( \frac{1}{x^5} \) | |
| \( \frac{-5}{-x} \) | |
| \( \frac{5}{x} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
Frank loaned Roger $1,100 at an annual interest rate of 6%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $24 | |
| $77 | |
| $49 | |
| $66 |
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 $1,100
i = 0.06 x $1,100
i = $66
If there were a total of 400 raffle tickets sold and you bought 16 tickets, what's the probability that you'll win the raffle?
| 11% | |
| 13% | |
| 1% | |
| 4% |
You have 16 out of the total of 400 raffle tickets sold so you have a (\( \frac{16}{400} \)) x 100 = \( \frac{16 \times 100}{400} \) = \( \frac{1600}{400} \) = 4% chance to win the raffle.
A triathlon course includes a 300m swim, a 40.2km bike ride, and a 12.4km run. What is the total length of the race course?
| 52.9km | |
| 37.6km | |
| 64.6km | |
| 27.8km |
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 + 40.2km + 12.4km
total distance = 52.9km
Which of the following is a mixed number?
\(1 {2 \over 5} \) |
|
\({7 \over 5} \) |
|
\({a \over 5} \) |
|
\({5 \over 7} \) |
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.