| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.41 |
| Score | 0% | 68% |
Find the average of the following numbers: 16, 12, 16, 12.
| 19 | |
| 16 | |
| 14 | |
| 11 |
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 multiple |
|
greatest common factor |
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absolute value |
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least common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
How many 11-passenger vans will it take to drive all 89 members of the football team to an away game?
| 9 vans | |
| 11 vans | |
| 6 vans | |
| 8 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{89}{11} \) = 8\(\frac{1}{11}\)
So, it will take 8 full vans and one partially full van to transport the entire team making a total of 9 vans.
What is \( \frac{27\sqrt{15}}{9\sqrt{5}} \)?
| 3 \( \sqrt{\frac{1}{3}} \) | |
| \(\frac{1}{3}\) \( \sqrt{\frac{1}{3}} \) | |
| 3 \( \sqrt{3} \) | |
| \(\frac{1}{3}\) \( \sqrt{3} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{27\sqrt{15}}{9\sqrt{5}} \)
\( \frac{27}{9} \) \( \sqrt{\frac{15}{5}} \)
3 \( \sqrt{3} \)
What is \( \frac{-4z^5}{6z^3} \)?
| -\(\frac{2}{3}\)z8 | |
| -\(\frac{2}{3}\)z1\(\frac{2}{3}\) | |
| -\(\frac{2}{3}\)z-2 | |
| -\(\frac{2}{3}\)z2 |
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:
\( \frac{-4z^5}{6z^3} \)
\( \frac{-4}{6} \) z(5 - 3)
-\(\frac{2}{3}\)z2