| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.95 |
| Score | 0% | 59% |
A bread recipe calls for 3\(\frac{5}{8}\) cups of flour. If you only have \(\frac{1}{4}\) cup, how much more flour is needed?
| 1\(\frac{1}{2}\) cups | |
| 3\(\frac{1}{2}\) cups | |
| 3\(\frac{3}{8}\) cups | |
| 2\(\frac{5}{8}\) cups |
The amount of flour you need is (3\(\frac{5}{8}\) - \(\frac{1}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{29}{8} \) - \( \frac{2}{8} \)) cups
\( \frac{27}{8} \) cups
3\(\frac{3}{8}\) cups
Convert 8,688,000 to scientific notation.
| 8.688 x 10-6 | |
| 8.688 x 106 | |
| 86.88 x 105 | |
| 8.688 x 10-5 |
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:
8,688,000 in scientific notation is 8.688 x 106
If a mayor is elected with 85% of the votes cast and 58% of a town's 17,000 voters cast a vote, how many votes did the mayor receive?
| 5,423 | |
| 8,381 | |
| 8,874 | |
| 5,620 |
If 58% of the town's 17,000 voters cast ballots the number of votes cast is:
(\( \frac{58}{100} \)) x 17,000 = \( \frac{986,000}{100} \) = 9,860
The mayor got 85% of the votes cast which is:
(\( \frac{85}{100} \)) x 9,860 = \( \frac{838,100}{100} \) = 8,381 votes.
If a car travels 420 miles in 7 hours, what is the average speed?
| 15 mph | |
| 45 mph | |
| 60 mph | |
| 55 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)What is \( 3 \)\( \sqrt{27} \) + \( 3 \)\( \sqrt{3} \)
| 12\( \sqrt{3} \) | |
| 9\( \sqrt{3} \) | |
| 9\( \sqrt{9} \) | |
| 9\( \sqrt{81} \) |
To add these radicals together their radicands must be the same:
3\( \sqrt{27} \) + 3\( \sqrt{3} \)
3\( \sqrt{9 \times 3} \) + 3\( \sqrt{3} \)
3\( \sqrt{3^2 \times 3} \) + 3\( \sqrt{3} \)
(3)(3)\( \sqrt{3} \) + 3\( \sqrt{3} \)
9\( \sqrt{3} \) + 3\( \sqrt{3} \)
Now that the radicands are identical, you can add them together:
9\( \sqrt{3} \) + 3\( \sqrt{3} \)