| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.35 |
| Score | 0% | 67% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 25% off." If Damon buys two shirts, each with a regular price of $40, how much will he pay for both shirts?
| $70.00 | |
| $30.00 | |
| $10.00 | |
| $48.00 |
By buying two shirts, Damon will save $40 x \( \frac{25}{100} \) = \( \frac{$40 x 25}{100} \) = \( \frac{$1000}{100} \) = $10.00 on the second shirt.
So, his total cost will be
$40.00 + ($40.00 - $10.00)
$40.00 + $30.00
$70.00
What is \( \frac{3}{7} \) x \( \frac{3}{9} \)?
| 1 | |
| \(\frac{1}{7}\) | |
| 1\(\frac{2}{7}\) | |
| \(\frac{6}{49}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{7} \) x \( \frac{3}{9} \) = \( \frac{3 x 3}{7 x 9} \) = \( \frac{9}{63} \) = \(\frac{1}{7}\)
What is \( \sqrt{\frac{81}{64}} \)?
| 1\(\frac{4}{5}\) | |
| 1\(\frac{2}{3}\) | |
| 1\(\frac{1}{8}\) | |
| \(\frac{1}{2}\) |
To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:
\( \sqrt{\frac{81}{64}} \)
\( \frac{\sqrt{81}}{\sqrt{64}} \)
\( \frac{\sqrt{9^2}}{\sqrt{8^2}} \)
\( \frac{9}{8} \)
1\(\frac{1}{8}\)
The __________ is the greatest factor that divides two integers.
greatest common multiple |
|
greatest common factor |
|
least common multiple |
|
absolute value |
The greatest common factor (GCF) is the greatest factor that divides two integers.
A triathlon course includes a 500m swim, a 20.5km bike ride, and a 13.600000000000001km run. What is the total length of the race course?
| 33.3km | |
| 61.3km | |
| 34.6km | |
| 52.2km |
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 500 meters to kilometers, divide the distance by 1000 to get 0.5km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.5km + 20.5km + 13.600000000000001km
total distance = 34.6km