| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
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| Score | 0% | 68% |
A bread recipe calls for 2\(\frac{7}{8}\) cups of flour. If you only have \(\frac{3}{8}\) cup, how much more flour is needed?
| 3\(\frac{3}{8}\) cups | |
| 2\(\frac{1}{2}\) cups | |
| 1\(\frac{7}{8}\) cups | |
| 1\(\frac{3}{8}\) cups |
The amount of flour you need is (2\(\frac{7}{8}\) - \(\frac{3}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{23}{8} \) - \( \frac{3}{8} \)) cups
\( \frac{20}{8} \) cups
2\(\frac{1}{2}\) cups
Which of the following is not a prime number?
7 |
|
2 |
|
9 |
|
5 |
A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.
Find the average of the following numbers: 10, 2, 7, 5.
| 11 | |
| 6 | |
| 3 | |
| 2 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{10 + 2 + 7 + 5}{4} \) = \( \frac{24}{4} \) = 6
Simplify \( \frac{24}{80} \).
| \( \frac{9}{17} \) | |
| \( \frac{5}{19} \) | |
| \( \frac{9}{13} \) | |
| \( \frac{3}{10} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 24 are [1, 2, 3, 4, 6, 8, 12, 24] and the factors of 80 are [1, 2, 4, 5, 8, 10, 16, 20, 40, 80]. They share 4 factors [1, 2, 4, 8] making 8 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{24}{80} \) = \( \frac{\frac{24}{8}}{\frac{80}{8}} \) = \( \frac{3}{10} \)
Simplify \( \sqrt{112} \)
| 2\( \sqrt{14} \) | |
| 9\( \sqrt{7} \) | |
| 4\( \sqrt{14} \) | |
| 4\( \sqrt{7} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{112} \)
\( \sqrt{16 \times 7} \)
\( \sqrt{4^2 \times 7} \)
4\( \sqrt{7} \)