| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.61 |
| Score | 0% | 72% |
What is the distance in miles of a trip that takes 3 hours at an average speed of 30 miles per hour?
| 90 miles | |
| 35 miles | |
| 175 miles | |
| 80 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 = \( 30mph \times 3h \)
90 miles
What is \( \frac{2}{7} \) ÷ \( \frac{4}{7} \)?
| \(\frac{1}{21}\) | |
| \(\frac{1}{2}\) | |
| 2 | |
| \(\frac{1}{18}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{2}{7} \) ÷ \( \frac{4}{7} \) = \( \frac{2}{7} \) x \( \frac{7}{4} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{7} \) x \( \frac{7}{4} \) = \( \frac{2 x 7}{7 x 4} \) = \( \frac{14}{28} \) = \(\frac{1}{2}\)
What is the next number in this sequence: 1, 7, 13, 19, 25, __________ ?
| 39 | |
| 31 | |
| 35 | |
| 30 |
The equation for this sequence is:
an = an-1 + 6
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 6
a6 = 25 + 6
a6 = 31
A bread recipe calls for 2\(\frac{7}{8}\) cups of flour. If you only have 1\(\frac{1}{4}\) cups, how much more flour is needed?
| 2\(\frac{3}{8}\) cups | |
| 1 cups | |
| 1\(\frac{5}{8}\) cups | |
| 1\(\frac{3}{8}\) cups |
The amount of flour you need is (2\(\frac{7}{8}\) - 1\(\frac{1}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{23}{8} \) - \( \frac{10}{8} \)) cups
\( \frac{13}{8} \) cups
1\(\frac{5}{8}\) cups
If all of a roofing company's 9 workers are required to staff 3 roofing crews, how many workers need to be added during the busy season in order to send 5 complete crews out on jobs?
| 17 | |
| 3 | |
| 6 | |
| 7 |
In order to find how many additional workers are needed to staff the extra crews you first need to calculate how many workers are on a crew. There are 9 workers at the company now and that's enough to staff 3 crews so there are \( \frac{9}{3} \) = 3 workers on a crew. 5 crews are needed for the busy season which, at 3 workers per crew, means that the roofing company will need 5 x 3 = 15 total workers to staff the crews during the busy season. The company already employs 9 workers so they need to add 15 - 9 = 6 new staff for the busy season.