| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.35 |
| Score | 0% | 67% |
If a car travels 120 miles in 6 hours, what is the average speed?
| 20 mph | |
| 25 mph | |
| 40 mph | |
| 55 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)If a mayor is elected with 56% of the votes cast and 90% of a town's 11,000 voters cast a vote, how many votes did the mayor receive?
| 8,019 | |
| 8,613 | |
| 5,544 | |
| 6,633 |
If 90% of the town's 11,000 voters cast ballots the number of votes cast is:
(\( \frac{90}{100} \)) x 11,000 = \( \frac{990,000}{100} \) = 9,900
The mayor got 56% of the votes cast which is:
(\( \frac{56}{100} \)) x 9,900 = \( \frac{554,400}{100} \) = 5,544 votes.
What is -9b3 + 5b3?
| -4b-6 | |
| -14b3 | |
| -4b3 | |
| -4b9 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:
-9b3 + 5b3
(-9 + 5)b3
-4b3
Convert 0.0004778 to scientific notation.
| 4.778 x 104 | |
| 47.78 x 10-5 | |
| 4.778 x 10-5 | |
| 4.778 x 10-4 |
A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:
0.0004778 in scientific notation is 4.778 x 10-4
What is \( \frac{35\sqrt{12}}{7\sqrt{4}} \)?
| 5 \( \sqrt{3} \) | |
| \(\frac{1}{5}\) \( \sqrt{\frac{1}{3}} \) | |
| \(\frac{1}{3}\) \( \sqrt{5} \) | |
| \(\frac{1}{5}\) \( \sqrt{3} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{35\sqrt{12}}{7\sqrt{4}} \)
\( \frac{35}{7} \) \( \sqrt{\frac{12}{4}} \)
5 \( \sqrt{3} \)