| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.03 |
| Score | 0% | 61% |
17 members of a bridal party need transported to a wedding reception but there are only 4 4-passenger taxis available to take them. How many will need to find other transportation?
| 2 | |
| 6 | |
| 1 | |
| 3 |
There are 4 4-passenger taxis available so that's 4 x 4 = 16 total seats. There are 17 people needing transportation leaving 17 - 16 = 1 who will have to find other transportation.
The __________ is the greatest factor that divides two integers.
absolute value |
|
greatest common multiple |
|
least common multiple |
|
greatest common factor |
The greatest common factor (GCF) is the greatest factor that divides two integers.
Which of these numbers is a factor of 64?
| 42 | |
| 48 | |
| 4 | |
| 62 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 64 are 1, 2, 4, 8, 16, 32, 64.
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?
| 37\(\frac{1}{2}\)% | |
| 35% | |
| 22\(\frac{1}{2}\)% | |
| 17\(\frac{1}{2}\)% |
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\(\frac{1}{2}\)%
What is \( 5 \)\( \sqrt{112} \) - \( 5 \)\( \sqrt{7} \)
| 0\( \sqrt{7} \) | |
| 25\( \sqrt{7} \) | |
| 15\( \sqrt{7} \) | |
| 0\( \sqrt{112} \) |
To subtract these radicals together their radicands must be the same:
5\( \sqrt{112} \) - 5\( \sqrt{7} \)
5\( \sqrt{16 \times 7} \) - 5\( \sqrt{7} \)
5\( \sqrt{4^2 \times 7} \) - 5\( \sqrt{7} \)
(5)(4)\( \sqrt{7} \) - 5\( \sqrt{7} \)
20\( \sqrt{7} \) - 5\( \sqrt{7} \)
Now that the radicands are identical, you can subtract them:
20\( \sqrt{7} \) - 5\( \sqrt{7} \)