| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.51 |
| Score | 0% | 70% |
Which of the following is a mixed number?
\({5 \over 7} \) |
|
\({a \over 5} \) |
|
\({7 \over 5} \) |
|
\(1 {2 \over 5} \) |
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.
How many 8-passenger vans will it take to drive all 97 members of the football team to an away game?
| 4 vans | |
| 3 vans | |
| 13 vans | |
| 7 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{97}{8} \) = 12\(\frac{1}{8}\)
So, it will take 12 full vans and one partially full van to transport the entire team making a total of 13 vans.
If the ratio of home fans to visiting fans in a crowd is 4:1 and all 49,000 seats in a stadium are filled, how many home fans are in attendance?
| 22,500 | |
| 39,200 | |
| 38,333 | |
| 26,250 |
A ratio of 4:1 means that there are 4 home fans for every one visiting fan. So, of every 5 fans, 4 are home fans and \( \frac{4}{5} \) of every fan in the stadium is a home fan:
49,000 fans x \( \frac{4}{5} \) = \( \frac{196000}{5} \) = 39,200 fans.
In a class of 27 students, 6 are taking German and 8 are taking Spanish. Of the students studying German or Spanish, 2 are taking both courses. How many students are not enrolled in either course?
| 10 | |
| 21 | |
| 15 | |
| 13 |
The number of students taking German or Spanish is 6 + 8 = 14. Of that group of 14, 2 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 14 - 2 = 12 who are taking at least one language. 27 - 12 = 15 students who are not taking either language.
Ezra loaned Monica $500 at an annual interest rate of 6%. If no payments are made, what is the total amount owed at the end of the first year?
| $530 | |
| $505 | |
| $545 | |
| $525 |
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 $500
i = 0.06 x $500
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $500 + $30