| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.23 |
| Score | 0% | 65% |
If the ratio of home fans to visiting fans in a crowd is 4:1 and all 38,000 seats in a stadium are filled, how many home fans are in attendance?
| 37,500 | |
| 30,400 | |
| 26,667 | |
| 27,500 |
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:
38,000 fans x \( \frac{4}{5} \) = \( \frac{152000}{5} \) = 30,400 fans.
In a class of 24 students, 14 are taking German and 12 are taking Spanish. Of the students studying German or Spanish, 8 are taking both courses. How many students are not enrolled in either course?
| 24 | |
| 6 | |
| 22 | |
| 15 |
The number of students taking German or Spanish is 14 + 12 = 26. Of that group of 26, 8 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 - 8 = 18 who are taking at least one language. 24 - 18 = 6 students who are not taking either language.
The __________ is the greatest factor that divides two integers.
greatest common multiple |
|
least common multiple |
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greatest common factor |
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absolute value |
The greatest common factor (GCF) is the greatest factor that divides two integers.
Roger loaned April $1,300 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?
| $1,339 | |
| $1,417 | |
| $1,378 | |
| $1,313 |
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 $1,300
i = 0.06 x $1,300
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,300 + $78Which of the following is an improper fraction?
\({a \over 5} \) |
|
\(1 {2 \over 5} \) |
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\({2 \over 5} \) |
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\({7 \over 5} \) |
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.