| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.33 |
| Score | 0% | 67% |
Which of the following is not an integer?
0 |
|
-1 |
|
1 |
|
\({1 \over 2}\) |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
A bread recipe calls for 3\(\frac{3}{8}\) cups of flour. If you only have 1\(\frac{1}{8}\) cups, how much more flour is needed?
| \(\frac{1}{2}\) cups | |
| 1\(\frac{1}{4}\) cups | |
| 1\(\frac{5}{8}\) cups | |
| 2\(\frac{1}{4}\) cups |
The amount of flour you need is (3\(\frac{3}{8}\) - 1\(\frac{1}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{27}{8} \) - \( \frac{9}{8} \)) cups
\( \frac{18}{8} \) cups
2\(\frac{1}{4}\) cups
Simplify \( \frac{16}{44} \).
| \( \frac{4}{9} \) | |
| \( \frac{2}{5} \) | |
| \( \frac{3}{10} \) | |
| \( \frac{4}{11} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 16 are [1, 2, 4, 8, 16] and the factors of 44 are [1, 2, 4, 11, 22, 44]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{16}{44} \) = \( \frac{\frac{16}{4}}{\frac{44}{4}} \) = \( \frac{4}{11} \)
In a class of 24 students, 15 are taking German and 5 are taking Spanish. Of the students studying German or Spanish, 3 are taking both courses. How many students are not enrolled in either course?
| 24 | |
| 7 | |
| 22 | |
| 14 |
The number of students taking German or Spanish is 15 + 5 = 20. Of that group of 20, 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 20 - 3 = 17 who are taking at least one language. 24 - 17 = 7 students who are not taking either language.
If the ratio of home fans to visiting fans in a crowd is 4:1 and all 48,000 seats in a stadium are filled, how many home fans are in attendance?
| 38,400 | |
| 25,500 | |
| 24,667 | |
| 30,400 |
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:
48,000 fans x \( \frac{4}{5} \) = \( \frac{192000}{5} \) = 38,400 fans.