| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Damon buys two shirts, each with a regular price of $48, how much money will he save?
| $7.20 | |
| $19.20 | |
| 18 | |
| $14.40 |
By buying two shirts, Damon will save $48 x \( \frac{15}{100} \) = \( \frac{$48 x 15}{100} \) = \( \frac{$720}{100} \) = $7.20 on the second shirt.
What is \( \frac{6}{6} \) - \( \frac{6}{10} \)?
| \( \frac{1}{30} \) | |
| \( \frac{3}{30} \) | |
| 1 \( \frac{1}{6} \) | |
| \(\frac{2}{5}\) |
To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [30, 60, 90] making 30 the smallest multiple 6 and 10 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{6 x 5}{6 x 5} \) - \( \frac{6 x 3}{10 x 3} \)
\( \frac{30}{30} \) - \( \frac{18}{30} \)
Now, because the fractions share a common denominator, you can subtract them:
\( \frac{30 - 18}{30} \) = \( \frac{12}{30} \) = \(\frac{2}{5}\)
What is \( \frac{18\sqrt{24}}{9\sqrt{6}} \)?
| 2 \( \sqrt{4} \) | |
| \(\frac{1}{2}\) \( \sqrt{\frac{1}{4}} \) | |
| \(\frac{1}{4}\) \( \sqrt{\frac{1}{2}} \) | |
| 4 \( \sqrt{\frac{1}{2}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{18\sqrt{24}}{9\sqrt{6}} \)
\( \frac{18}{9} \) \( \sqrt{\frac{24}{6}} \)
2 \( \sqrt{4} \)
In a class of 34 students, 11 are taking German and 15 are taking Spanish. Of the students studying German or Spanish, 6 are taking both courses. How many students are not enrolled in either course?
| 14 | |
| 32 | |
| 23 | |
| 16 |
The number of students taking German or Spanish is 11 + 15 = 26. Of that group of 26, 6 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 26 - 6 = 20 who are taking at least one language. 34 - 20 = 14 students who are not taking either language.
A triathlon course includes a 300m swim, a 30.3km bike ride, and a 9.7km run. What is the total length of the race course?
| 33.4km | |
| 29.6km | |
| 40.3km | |
| 40.7km |
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 + 30.3km + 9.7km
total distance = 40.3km