| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.15 |
| Score | 0% | 63% |
Find the average of the following numbers: 10, 2, 10, 2.
| 1 | |
| 9 | |
| 7 | |
| 6 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{10 + 2 + 10 + 2}{4} \) = \( \frac{24}{4} \) = 6
Simplify \( \sqrt{80} \)
| 4\( \sqrt{10} \) | |
| 5\( \sqrt{5} \) | |
| 4\( \sqrt{5} \) | |
| 5\( \sqrt{10} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{80} \)
\( \sqrt{16 \times 5} \)
\( \sqrt{4^2 \times 5} \)
4\( \sqrt{5} \)
Solve 5 + (5 + 5) ÷ 5 x 3 - 42
| \(\frac{2}{3}\) | |
| \(\frac{1}{2}\) | |
| 1\(\frac{1}{4}\) | |
| -5 |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
5 + (5 + 5) ÷ 5 x 3 - 42
P: 5 + (10) ÷ 5 x 3 - 42
E: 5 + 10 ÷ 5 x 3 - 16
MD: 5 + \( \frac{10}{5} \) x 3 - 16
MD: 5 + \( \frac{30}{5} \) - 16
AS: \( \frac{25}{5} \) + \( \frac{30}{5} \) - 16
AS: \( \frac{55}{5} \) - 16
AS: \( \frac{55 - 80}{5} \)
\( \frac{-25}{5} \)
-5
In a class of 29 students, 11 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?
| 15 | |
| 12 | |
| 23 | |
| 10 |
The number of students taking German or Spanish is 11 + 8 = 19. Of that group of 19, 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 19 - 2 = 17 who are taking at least one language. 29 - 17 = 12 students who are not taking either language.
A bread recipe calls for 3\(\frac{1}{8}\) cups of flour. If you only have \(\frac{1}{4}\) cup, how much more flour is needed?
| 2\(\frac{7}{8}\) cups | |
| 3\(\frac{1}{8}\) cups | |
| 1\(\frac{3}{8}\) cups | |
| 1 cups |
The amount of flour you need is (3\(\frac{1}{8}\) - \(\frac{1}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{25}{8} \) - \( \frac{2}{8} \)) cups
\( \frac{23}{8} \) cups
2\(\frac{7}{8}\) cups