| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.21 |
| Score | 0% | 64% |
If the ratio of home fans to visiting fans in a crowd is 5:1 and all 44,000 seats in a stadium are filled, how many home fans are in attendance?
| 28,000 | |
| 36,667 | |
| 32,500 | |
| 37,600 |
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:
44,000 fans x \( \frac{5}{6} \) = \( \frac{220000}{6} \) = 36,667 fans.
What is (z3)2?
| z6 | |
| z5 | |
| z-1 | |
| 3z2 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(z3)2The __________ is the smallest positive integer that is a multiple of two or more integers.
least common multiple |
|
absolute value |
|
greatest common factor |
|
least common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
A circular logo is enlarged to fit the lid of a jar. The new diameter is 75% larger than the original. By what percentage has the area of the logo increased?
| 27\(\frac{1}{2}\)% | |
| 20% | |
| 37\(\frac{1}{2}\)% | |
| 22\(\frac{1}{2}\)% |
The area of a circle is given by the formula A = πr2 where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))2. If the diameter of the logo increases by 75% the radius (and, consequently, the total area) increases by \( \frac{75\text{%}}{2} \) = 37\(\frac{1}{2}\)%
4! = ?
5 x 4 x 3 x 2 x 1 |
|
4 x 3 |
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3 x 2 x 1 |
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4 x 3 x 2 x 1 |
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.