| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.42 |
| Score | 0% | 68% |
A circular logo is enlarged to fit the lid of a jar. The new diameter is 35% larger than the original. By what percentage has the area of the logo increased?
| 17\(\frac{1}{2}\)% | |
| 27\(\frac{1}{2}\)% | |
| 37\(\frac{1}{2}\)% | |
| 15% |
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 35% the radius (and, consequently, the total area) increases by \( \frac{35\text{%}}{2} \) = 17\(\frac{1}{2}\)%
What is -3b6 + 5b6?
| -8b6 | |
| 8b-6 | |
| 2b-12 | |
| 2b6 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:
-3b6 + 5b6
(-3 + 5)b6
2b6
Find the average of the following numbers: 17, 11, 16, 12.
| 14 | |
| 17 | |
| 13 | |
| 18 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{17 + 11 + 16 + 12}{4} \) = \( \frac{56}{4} \) = 14
What is -8c4 x c4?
| -7c4 | |
| -7c8 | |
| -8c16 | |
| -8c8 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
-8c4 x c4
(-8 x 1)c(4 + 4)
-8c8
10 members of a bridal party need transported to a wedding reception but there are only 4 2-passenger taxis available to take them. How many will need to find other transportation?
| 6 | |
| 8 | |
| 2 | |
| 5 |
There are 4 2-passenger taxis available so that's 4 x 2 = 8 total seats. There are 10 people needing transportation leaving 10 - 8 = 2 who will have to find other transportation.