| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.67 |
| Score | 0% | 73% |
How many 10-passenger vans will it take to drive all 45 members of the football team to an away game?
| 5 vans | |
| 4 vans | |
| 11 vans | |
| 12 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{45}{10} \) = 4\(\frac{1}{2}\)
So, it will take 4 full vans and one partially full van to transport the entire team making a total of 5 vans.
What is 6x4 x 6x4?
| 12x4 | |
| 12x8 | |
| 36x4 | |
| 36x8 |
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:
6x4 x 6x4
(6 x 6)x(4 + 4)
36x8
Simplify \( \sqrt{45} \)
| 4\( \sqrt{10} \) | |
| 6\( \sqrt{10} \) | |
| 3\( \sqrt{5} \) | |
| 9\( \sqrt{10} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{45} \)
\( \sqrt{9 \times 5} \)
\( \sqrt{3^2 \times 5} \)
3\( \sqrt{5} \)
What is the distance in miles of a trip that takes 2 hours at an average speed of 45 miles per hour?
| 180 miles | |
| 60 miles | |
| 90 miles | |
| 260 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 = \( 45mph \times 2h \)
90 miles
In a class of 31 students, 13 are taking German and 12 are taking Spanish. Of the students studying German or Spanish, 3 are taking both courses. How many students are not enrolled in either course?
| 10 | |
| 9 | |
| 22 | |
| 12 |
The number of students taking German or Spanish is 13 + 12 = 25. Of that group of 25, 3 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 25 - 3 = 22 who are taking at least one language. 31 - 22 = 9 students who are not taking either language.