| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.03 |
| Score | 0% | 61% |
How many 1\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 9 gallon tank to fill it exactly halfway?
| 6 | |
| 3 | |
| 57 | |
| 2 |
To fill a 9 gallon tank exactly halfway you'll need 4\(\frac{1}{2}\) gallons of fuel. Each fuel can holds 1\(\frac{1}{2}\) gallons so:
cans = \( \frac{4\frac{1}{2} \text{ gallons}}{1\frac{1}{2} \text{ gallons}} \) = 3
How many 10-passenger vans will it take to drive all 51 members of the football team to an away game?
| 7 vans | |
| 10 vans | |
| 6 vans | |
| 9 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{51}{10} \) = 5\(\frac{1}{10}\)
So, it will take 5 full vans and one partially full van to transport the entire team making a total of 6 vans.
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
PEDMAS |
|
distributive |
|
associative |
|
commutative |
The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.
What is \( 4 \)\( \sqrt{125} \) + \( 3 \)\( \sqrt{5} \)
| 12\( \sqrt{625} \) | |
| 12\( \sqrt{125} \) | |
| 23\( \sqrt{5} \) | |
| 7\( \sqrt{625} \) |
To add these radicals together their radicands must be the same:
4\( \sqrt{125} \) + 3\( \sqrt{5} \)
4\( \sqrt{25 \times 5} \) + 3\( \sqrt{5} \)
4\( \sqrt{5^2 \times 5} \) + 3\( \sqrt{5} \)
(4)(5)\( \sqrt{5} \) + 3\( \sqrt{5} \)
20\( \sqrt{5} \) + 3\( \sqrt{5} \)
Now that the radicands are identical, you can add them together:
20\( \sqrt{5} \) + 3\( \sqrt{5} \)21 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?
| 3 | |
| 4 | |
| 5 | |
| 1 |
There are 4 4-passenger taxis available so that's 4 x 4 = 16 total seats. There are 21 people needing transportation leaving 21 - 16 = 5 who will have to find other transportation.