| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.43 |
| Score | 0% | 69% |
If there were a total of 100 raffle tickets sold and you bought 2 tickets, what's the probability that you'll win the raffle?
| 17% | |
| 2% | |
| 15% | |
| 12% |
You have 2 out of the total of 100 raffle tickets sold so you have a (\( \frac{2}{100} \)) x 100 = \( \frac{2 \times 100}{100} \) = \( \frac{200}{100} \) = 2% chance to win the raffle.
Roger loaned Ezra $700 at an annual interest rate of 7%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $7 | |
| $49 | |
| $9 | |
| $99 |
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 $700
i = 0.07 x $700
i = $49
In a class of 24 students, 7 are taking German and 6 are taking Spanish. Of the students studying German or Spanish, 3 are taking both courses. How many students are not enrolled in either course?
| 14 | |
| 12 | |
| 11 | |
| 18 |
The number of students taking German or Spanish is 7 + 6 = 13. Of that group of 13, 3 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 13 - 3 = 10 who are taking at least one language. 24 - 10 = 14 students who are not taking either language.
What is \( \frac{8}{6} \) - \( \frac{2}{14} \)?
| 1\(\frac{4}{21}\) | |
| 2 \( \frac{9}{42} \) | |
| 1 \( \frac{6}{42} \) | |
| \( \frac{1}{42} \) |
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 14 are [14, 28, 42, 56, 70, 84, 98]. The first few multiples they share are [42, 84] making 42 the smallest multiple 6 and 14 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{8 x 7}{6 x 7} \) - \( \frac{2 x 3}{14 x 3} \)
\( \frac{56}{42} \) - \( \frac{6}{42} \)
Now, because the fractions share a common denominator, you can subtract them:
\( \frac{56 - 6}{42} \) = \( \frac{50}{42} \) = 1\(\frac{4}{21}\)
If a car travels 60 miles in 4 hours, what is the average speed?
| 75 mph | |
| 70 mph | |
| 15 mph | |
| 60 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)