| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.47 |
| Score | 0% | 69% |
Which of the following is a mixed number?
\({7 \over 5} \) |
|
\({a \over 5} \) |
|
\(1 {2 \over 5} \) |
|
\({5 \over 7} \) |
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.
A triathlon course includes a 200m swim, a 30.3km bike ride, and a 13.5km run. What is the total length of the race course?
| 47.7km | |
| 30.7km | |
| 27.3km | |
| 44km |
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 + 30.3km + 13.5km
total distance = 44km
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 30% off." If Charlie buys two shirts, each with a regular price of $45, how much will he pay for both shirts?
| $13.50 | |
| $58.50 | |
| $63.00 | |
| $76.50 |
By buying two shirts, Charlie will save $45 x \( \frac{30}{100} \) = \( \frac{$45 x 30}{100} \) = \( \frac{$1350}{100} \) = $13.50 on the second shirt.
So, his total cost will be
$45.00 + ($45.00 - $13.50)
$45.00 + $31.50
$76.50
Solve for \( \frac{3!}{5!} \)
| \( \frac{1}{30} \) | |
| \( \frac{1}{20} \) | |
| \( \frac{1}{6} \) | |
| 4 |
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:
\( \frac{3!}{5!} \)
\( \frac{3 \times 2 \times 1}{5 \times 4 \times 3 \times 2 \times 1} \)
\( \frac{1}{5 \times 4} \)
\( \frac{1}{20} \)
Charlie loaned Latoya $1,400 at an annual interest rate of 2%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,470 | |
| $1,498 | |
| $1,456 | |
| $1,428 |
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 $1,400
i = 0.02 x $1,400
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,400 + $28