| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.63 |
| Score | 0% | 73% |
If the ratio of home fans to visiting fans in a crowd is 2:1 and all 45,000 seats in a stadium are filled, how many home fans are in attendance?
| 26,667 | |
| 20,000 | |
| 26,000 | |
| 30,000 |
A ratio of 2:1 means that there are 2 home fans for every one visiting fan. So, of every 3 fans, 2 are home fans and \( \frac{2}{3} \) of every fan in the stadium is a home fan:
45,000 fans x \( \frac{2}{3} \) = \( \frac{90000}{3} \) = 30,000 fans.
How many hours does it take a car to travel 60 miles at an average speed of 20 miles per hour?
| 2 hours | |
| 4 hours | |
| 3 hours | |
| 9 hours |
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 time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{60mi}{20mph} \)
3 hours
If a car travels 520 miles in 8 hours, what is the average speed?
| 65 mph | |
| 40 mph | |
| 50 mph | |
| 35 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 \( \frac{35\sqrt{24}}{5\sqrt{8}} \)?
| 7 \( \sqrt{3} \) | |
| \(\frac{1}{7}\) \( \sqrt{\frac{1}{3}} \) | |
| 3 \( \sqrt{7} \) | |
| 3 \( \sqrt{\frac{1}{7}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{35\sqrt{24}}{5\sqrt{8}} \)
\( \frac{35}{5} \) \( \sqrt{\frac{24}{8}} \)
7 \( \sqrt{3} \)
What is \( \sqrt{\frac{81}{9}} \)?
| 1 | |
| 3 | |
| 4\(\frac{1}{2}\) | |
| 1\(\frac{4}{5}\) |
To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:
\( \sqrt{\frac{81}{9}} \)
\( \frac{\sqrt{81}}{\sqrt{9}} \)
\( \frac{\sqrt{9^2}}{\sqrt{3^2}} \)
\( \frac{9}{3} \)
3