| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.64 |
| Score | 0% | 73% |
17 members of a bridal party need transported to a wedding reception but there are only 3 4-passenger taxis available to take them. How many will need to find other transportation?
| 4 | |
| 2 | |
| 1 | |
| 5 |
There are 3 4-passenger taxis available so that's 3 x 4 = 12 total seats. There are 17 people needing transportation leaving 17 - 12 = 5 who will have to find other transportation.
What is c6 x 9c7?
| 10c6 | |
| 9c13 | |
| 9c42 | |
| 9c |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
c6 x 9c7
(1 x 9)c(6 + 7)
9c13
How many hours does it take a car to travel 160 miles at an average speed of 40 miles per hour?
| 9 hours | |
| 4 hours | |
| 3 hours | |
| 7 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 = \( \frac{160mi}{40mph} \)
4 hours
What is \( \frac{14\sqrt{45}}{2\sqrt{9}} \)?
| 7 \( \sqrt{5} \) | |
| \(\frac{1}{7}\) \( \sqrt{\frac{1}{5}} \) | |
| \(\frac{1}{5}\) \( \sqrt{\frac{1}{7}} \) | |
| 5 \( \sqrt{\frac{1}{7}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{14\sqrt{45}}{2\sqrt{9}} \)
\( \frac{14}{2} \) \( \sqrt{\frac{45}{9}} \)
7 \( \sqrt{5} \)
Diane scored 78% on her final exam. If each question was worth 3 points and there were 180 possible points on the exam, how many questions did Diane answer correctly?
| 46 | |
| 47 | |
| 58 | |
| 52 |
Diane scored 78% on the test meaning she earned 78% of the possible points on the test. There were 180 possible points on the test so she earned 180 x 0.78 = 141 points. Each question is worth 3 points so she got \( \frac{141}{3} \) = 47 questions right.