| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.88 |
| Score | 0% | 58% |
If a car travels 585 miles in 9 hours, what is the average speed?
| 55 mph | |
| 35 mph | |
| 20 mph | |
| 65 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)
| 1.2 | |
| 2.7 | |
| 1 | |
| 0.8 |
1
What is 8\( \sqrt{6} \) x 4\( \sqrt{3} \)?
| 32\( \sqrt{9} \) | |
| 96\( \sqrt{2} \) | |
| 12\( \sqrt{18} \) | |
| 12\( \sqrt{3} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
8\( \sqrt{6} \) x 4\( \sqrt{3} \)
(8 x 4)\( \sqrt{6 \times 3} \)
32\( \sqrt{18} \)
Now we need to simplify the radical:
32\( \sqrt{18} \)
32\( \sqrt{2 \times 9} \)
32\( \sqrt{2 \times 3^2} \)
(32)(3)\( \sqrt{2} \)
96\( \sqrt{2} \)
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.
If a mayor is elected with 84% of the votes cast and 31% of a town's 25,000 voters cast a vote, how many votes did the mayor receive?
| 6,510 | |
| 4,573 | |
| 5,038 | |
| 4,418 |
If 31% of the town's 25,000 voters cast ballots the number of votes cast is:
(\( \frac{31}{100} \)) x 25,000 = \( \frac{775,000}{100} \) = 7,750
The mayor got 84% of the votes cast which is:
(\( \frac{84}{100} \)) x 7,750 = \( \frac{651,000}{100} \) = 6,510 votes.