| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.06 |
| Score | 0% | 61% |
19 members of a bridal party need transported to a wedding reception but there are only 3 5-passenger taxis available to take them. How many will need to find other transportation?
| 9 | |
| 4 | |
| 3 | |
| 7 |
There are 3 5-passenger taxis available so that's 3 x 5 = 15 total seats. There are 19 people needing transportation leaving 19 - 15 = 4 who will have to find other transportation.
How many 2\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 15 gallon tank to fill it exactly halfway?
| 3 | |
| 6 | |
| 3 | |
| 4 |
To fill a 15 gallon tank exactly halfway you'll need 7\(\frac{1}{2}\) gallons of fuel. Each fuel can holds 2\(\frac{1}{2}\) gallons so:
cans = \( \frac{7\frac{1}{2} \text{ gallons}}{2\frac{1}{2} \text{ gallons}} \) = 3
What is the least common multiple of 4 and 8?
| 8 | |
| 6 | |
| 12 | |
| 21 |
The first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40] and the first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80]. The first few multiples they share are [8, 16, 24, 32, 40] making 8 the smallest multiple 4 and 8 have in common.
What is \( 2 \)\( \sqrt{63} \) - \( 5 \)\( \sqrt{7} \)
| 10\( \sqrt{63} \) | |
| \( \sqrt{7} \) | |
| -3\( \sqrt{63} \) | |
| 10\( \sqrt{441} \) |
To subtract these radicals together their radicands must be the same:
2\( \sqrt{63} \) - 5\( \sqrt{7} \)
2\( \sqrt{9 \times 7} \) - 5\( \sqrt{7} \)
2\( \sqrt{3^2 \times 7} \) - 5\( \sqrt{7} \)
(2)(3)\( \sqrt{7} \) - 5\( \sqrt{7} \)
6\( \sqrt{7} \) - 5\( \sqrt{7} \)
Now that the radicands are identical, you can subtract them:
6\( \sqrt{7} \) - 5\( \sqrt{7} \)The __________ is the greatest factor that divides two integers.
greatest common multiple |
|
greatest common factor |
|
least common multiple |
|
absolute value |
The greatest common factor (GCF) is the greatest factor that divides two integers.