| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.89 |
| Score | 0% | 58% |
What is \( \frac{4b^7}{7b^4} \)?
| \(\frac{4}{7}\)b3 | |
| \(\frac{4}{7}\)b\(\frac{4}{7}\) | |
| \(\frac{4}{7}\)b-3 | |
| \(\frac{4}{7}\)b11 |
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:
\( \frac{4b^7}{7b^4} \)
\( \frac{4}{7} \) b(7 - 4)
\(\frac{4}{7}\)b3
If a mayor is elected with 53% of the votes cast and 37% of a town's 41,000 voters cast a vote, how many votes did the mayor receive?
| 8,040 | |
| 10,467 | |
| 10,316 | |
| 9,102 |
If 37% of the town's 41,000 voters cast ballots the number of votes cast is:
(\( \frac{37}{100} \)) x 41,000 = \( \frac{1,517,000}{100} \) = 15,170
The mayor got 53% of the votes cast which is:
(\( \frac{53}{100} \)) x 15,170 = \( \frac{804,010}{100} \) = 8,040 votes.
What is \( \frac{14\sqrt{10}}{7\sqrt{5}} \)?
| \(\frac{1}{2}\) \( \sqrt{\frac{1}{2}} \) | |
| 2 \( \sqrt{2} \) | |
| \(\frac{1}{2}\) \( \sqrt{2} \) | |
| 2 \( \sqrt{\frac{1}{2}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{14\sqrt{10}}{7\sqrt{5}} \)
\( \frac{14}{7} \) \( \sqrt{\frac{10}{5}} \)
2 \( \sqrt{2} \)
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common multiple |
|
absolute value |
|
least common factor |
|
greatest common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
| 1 | |
| 2.8 | |
| 2.4 | |
| 4.5 |
1