| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.26 |
| Score | 0% | 65% |
What is the distance in miles of a trip that takes 5 hours at an average speed of 45 miles per hour?
| 350 miles | |
| 100 miles | |
| 360 miles | |
| 225 miles |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 45mph \times 5h \)
225 miles
A bread recipe calls for 2\(\frac{1}{8}\) cups of flour. If you only have \(\frac{3}{8}\) cup, how much more flour is needed?
| 2\(\frac{3}{8}\) cups | |
| 2\(\frac{1}{2}\) cups | |
| 1 cups | |
| 1\(\frac{3}{4}\) cups |
The amount of flour you need is (2\(\frac{1}{8}\) - \(\frac{3}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{17}{8} \) - \( \frac{3}{8} \)) cups
\( \frac{14}{8} \) cups
1\(\frac{3}{4}\) cups
What is 8\( \sqrt{8} \) x 4\( \sqrt{4} \)?
| 128\( \sqrt{2} \) | |
| 12\( \sqrt{8} \) | |
| 32\( \sqrt{4} \) | |
| 32\( \sqrt{12} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
8\( \sqrt{8} \) x 4\( \sqrt{4} \)
(8 x 4)\( \sqrt{8 \times 4} \)
32\( \sqrt{32} \)
Now we need to simplify the radical:
32\( \sqrt{32} \)
32\( \sqrt{2 \times 16} \)
32\( \sqrt{2 \times 4^2} \)
(32)(4)\( \sqrt{2} \)
128\( \sqrt{2} \)
16 members of a bridal party need transported to a wedding reception but there are only 3 5-passenger taxis available to take them. How many will need to find other transportation?
| 9 | |
| 3 | |
| 2 | |
| 1 |
There are 3 5-passenger taxis available so that's 3 x 5 = 15 total seats. There are 16 people needing transportation leaving 16 - 15 = 1 who will have to find other transportation.
Convert 0.0009897 to scientific notation.
| 0.99 x 10-3 | |
| 9.897 x 10-4 | |
| 9.897 x 104 | |
| 9.897 x 10-3 |
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:
0.0009897 in scientific notation is 9.897 x 10-4