| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.44 |
| Score | 0% | 69% |
If the ratio of home fans to visiting fans in a crowd is 4:1 and all 41,000 seats in a stadium are filled, how many home fans are in attendance?
| 32,800 | |
| 34,500 | |
| 33,333 | |
| 30,000 |
A ratio of 4:1 means that there are 4 home fans for every one visiting fan. So, of every 5 fans, 4 are home fans and \( \frac{4}{5} \) of every fan in the stadium is a home fan:
41,000 fans x \( \frac{4}{5} \) = \( \frac{164000}{5} \) = 32,800 fans.
What is \( \frac{12\sqrt{6}}{4\sqrt{3}} \)?
| \(\frac{1}{2}\) \( \sqrt{\frac{1}{3}} \) | |
| 2 \( \sqrt{\frac{1}{3}} \) | |
| 3 \( \sqrt{2} \) | |
| \(\frac{1}{2}\) \( \sqrt{3} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{12\sqrt{6}}{4\sqrt{3}} \)
\( \frac{12}{4} \) \( \sqrt{\frac{6}{3}} \)
3 \( \sqrt{2} \)
If \(\left|a\right| = 7\), which of the following best describes a?
a = 7 |
|
a = 7 or a = -7 |
|
a = -7 |
|
none of these is correct |
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).
4! = ?
3 x 2 x 1 |
|
5 x 4 x 3 x 2 x 1 |
|
4 x 3 x 2 x 1 |
|
4 x 3 |
A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
What is 5x7 - 6x7?
| x-7 | |
| 11x-14 | |
| 11x49 | |
| -x7 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:
5x7 - 6x7
(5 - 6)x7
-x7