| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.91 |
| Score | 0% | 58% |
Find the average of the following numbers: 16, 12, 18, 10.
| 10 | |
| 13 | |
| 16 | |
| 14 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{16 + 12 + 18 + 10}{4} \) = \( \frac{56}{4} \) = 14
What is \( 8 \)\( \sqrt{75} \) + \( 4 \)\( \sqrt{3} \)
| 12\( \sqrt{25} \) | |
| 12\( \sqrt{75} \) | |
| 12\( \sqrt{225} \) | |
| 44\( \sqrt{3} \) |
To add these radicals together their radicands must be the same:
8\( \sqrt{75} \) + 4\( \sqrt{3} \)
8\( \sqrt{25 \times 3} \) + 4\( \sqrt{3} \)
8\( \sqrt{5^2 \times 3} \) + 4\( \sqrt{3} \)
(8)(5)\( \sqrt{3} \) + 4\( \sqrt{3} \)
40\( \sqrt{3} \) + 4\( \sqrt{3} \)
Now that the radicands are identical, you can add them together:
40\( \sqrt{3} \) + 4\( \sqrt{3} \)What is \( \sqrt{\frac{9}{25}} \)?
| \(\frac{3}{5}\) | |
| \(\frac{2}{7}\) | |
| \(\frac{4}{7}\) | |
| \(\frac{2}{3}\) |
To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:
\( \sqrt{\frac{9}{25}} \)
\( \frac{\sqrt{9}}{\sqrt{25}} \)
\( \frac{\sqrt{3^2}}{\sqrt{5^2}} \)
\(\frac{3}{5}\)
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
distributive |
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PEDMAS |
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associative |
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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.
How many 2\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 10 gallon tank to fill it exactly halfway?
| 8 | |
| 2 | |
| 4 | |
| 2 |
To fill a 10 gallon tank exactly halfway you'll need 5 gallons of fuel. Each fuel can holds 2\(\frac{1}{2}\) gallons so:
cans = \( \frac{5 \text{ gallons}}{2\frac{1}{2} \text{ gallons}} \) = 2