| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.84 |
| Score | 0% | 57% |
Find the average of the following numbers: 16, 12, 16, 12.
| 15 | |
| 11 | |
| 14 | |
| 10 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{16 + 12 + 16 + 12}{4} \) = \( \frac{56}{4} \) = 14
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common factor |
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least common multiple |
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greatest common factor |
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absolute value |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
What is \( \frac{2y^5}{7y^4} \)?
| 3\(\frac{1}{2}\)y | |
| \(\frac{2}{7}\)y | |
| \(\frac{2}{7}\)y20 | |
| \(\frac{2}{7}\)y-1 |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{2y^5}{7y^4} \)
\( \frac{2}{7} \) y(5 - 4)
\(\frac{2}{7}\)y
What is 5\( \sqrt{2} \) x 2\( \sqrt{9} \)?
| 30\( \sqrt{2} \) | |
| 7\( \sqrt{2} \) | |
| 10\( \sqrt{2} \) | |
| 7\( \sqrt{9} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
5\( \sqrt{2} \) x 2\( \sqrt{9} \)
(5 x 2)\( \sqrt{2 \times 9} \)
10\( \sqrt{18} \)
Now we need to simplify the radical:
10\( \sqrt{18} \)
10\( \sqrt{2 \times 9} \)
10\( \sqrt{2 \times 3^2} \)
(10)(3)\( \sqrt{2} \)
30\( \sqrt{2} \)
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| 0.4 | |
| 0.9 | |
| 2.8 |
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