| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.94 |
| Score | 0% | 59% |
| 1.8 | |
| 1.0 | |
| 5.6 | |
| 1 |
1
What is 2\( \sqrt{6} \) x 9\( \sqrt{5} \)?
| 11\( \sqrt{5} \) | |
| 18\( \sqrt{30} \) | |
| 18\( \sqrt{5} \) | |
| 18\( \sqrt{6} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
2\( \sqrt{6} \) x 9\( \sqrt{5} \)
(2 x 9)\( \sqrt{6 \times 5} \)
18\( \sqrt{30} \)
If the ratio of home fans to visiting fans in a crowd is 5:1 and all 43,000 seats in a stadium are filled, how many home fans are in attendance?
| 35,833 | |
| 26,250 | |
| 27,000 | |
| 30,667 |
A ratio of 5:1 means that there are 5 home fans for every one visiting fan. So, of every 6 fans, 5 are home fans and \( \frac{5}{6} \) of every fan in the stadium is a home fan:
43,000 fans x \( \frac{5}{6} \) = \( \frac{215000}{6} \) = 35,833 fans.
A factor is a positive __________ that divides evenly into a given number.
improper fraction |
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fraction |
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mixed number |
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integer |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
If \(\left|a\right| = 7\), which of the following best describes a?
a = 7 or a = -7 |
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a = -7 |
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none of these is correct |
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a = 7 |
The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).