| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.58 |
| Score | 0% | 72% |
What is the distance in miles of a trip that takes 4 hours at an average speed of 15 miles per hour?
| 20 miles | |
| 135 miles | |
| 60 miles | |
| 195 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 = \( 15mph \times 4h \)
60 miles
Simplify \( \sqrt{32} \)
| 4\( \sqrt{2} \) | |
| 6\( \sqrt{2} \) | |
| 3\( \sqrt{4} \) | |
| 9\( \sqrt{4} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{32} \)
\( \sqrt{16 \times 2} \)
\( \sqrt{4^2 \times 2} \)
4\( \sqrt{2} \)
Which of these numbers is a factor of 32?
| 2 | |
| 25 | |
| 12 | |
| 34 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 32 are 1, 2, 4, 8, 16, 32.
What is the next number in this sequence: 1, 7, 13, 19, 25, __________ ?
| 39 | |
| 31 | |
| 38 | |
| 40 |
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
If the ratio of home fans to visiting fans in a crowd is 3:1 and all 33,000 seats in a stadium are filled, how many home fans are in attendance?
| 23,333 | |
| 33,750 | |
| 24,750 | |
| 34,167 |
A ratio of 3:1 means that there are 3 home fans for every one visiting fan. So, of every 4 fans, 3 are home fans and \( \frac{3}{4} \) of every fan in the stadium is a home fan:
33,000 fans x \( \frac{3}{4} \) = \( \frac{99000}{4} \) = 24,750 fans.