| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.46 |
| Score | 0% | 69% |
21 members of a bridal party need transported to a wedding reception but there are only 4 5-passenger taxis available to take them. How many will need to find other transportation?
| 5 | |
| 1 | |
| 2 | |
| 8 |
There are 4 5-passenger taxis available so that's 4 x 5 = 20 total seats. There are 21 people needing transportation leaving 21 - 20 = 1 who will have to find other transportation.
How many 2\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 20 gallon tank to fill it exactly halfway?
| 8 | |
| 9 | |
| 2 | |
| 4 |
To fill a 20 gallon tank exactly halfway you'll need 10 gallons of fuel. Each fuel can holds 2\(\frac{1}{2}\) gallons so:
cans = \( \frac{10 \text{ gallons}}{2\frac{1}{2} \text{ gallons}} \) = 4
Simplify \( \sqrt{75} \)
| 4\( \sqrt{3} \) | |
| 7\( \sqrt{6} \) | |
| 8\( \sqrt{3} \) | |
| 5\( \sqrt{3} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{75} \)
\( \sqrt{25 \times 3} \)
\( \sqrt{5^2 \times 3} \)
5\( \sqrt{3} \)
What is \( \frac{12\sqrt{20}}{6\sqrt{5}} \)?
| \(\frac{1}{4}\) \( \sqrt{\frac{1}{2}} \) | |
| \(\frac{1}{2}\) \( \sqrt{4} \) | |
| 4 \( \sqrt{2} \) | |
| 2 \( \sqrt{4} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{12\sqrt{20}}{6\sqrt{5}} \)
\( \frac{12}{6} \) \( \sqrt{\frac{20}{5}} \)
2 \( \sqrt{4} \)
What is the distance in miles of a trip that takes 7 hours at an average speed of 75 miles per hour?
| 450 miles | |
| 375 miles | |
| 50 miles | |
| 525 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 = \( 75mph \times 7h \)
525 miles