| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.44 |
| Score | 0% | 69% |
What is \( \frac{3}{8} \) x \( \frac{2}{7} \)?
| \(\frac{3}{28}\) | |
| \(\frac{3}{4}\) | |
| \(\frac{4}{27}\) | |
| \(\frac{6}{7}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{8} \) x \( \frac{2}{7} \) = \( \frac{3 x 2}{8 x 7} \) = \( \frac{6}{56} \) = \(\frac{3}{28}\)
In a class of 26 students, 14 are taking German and 9 are taking Spanish. Of the students studying German or Spanish, 6 are taking both courses. How many students are not enrolled in either course?
| 9 | |
| 18 | |
| 14 | |
| 10 |
The number of students taking German or Spanish is 14 + 9 = 23. Of that group of 23, 6 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 23 - 6 = 17 who are taking at least one language. 26 - 17 = 9 students who are not taking either language.
What is the distance in miles of a trip that takes 1 hour at an average speed of 45 miles per hour?
| 490 miles | |
| 75 miles | |
| 360 miles | |
| 45 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 = \( 45mph \times 1h \)
45 miles
What is 9x4 x x3?
| 10x12 | |
| 9x7 | |
| 10x3 | |
| 9x-1 |
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:
9x4 x x3
(9 x 1)x(4 + 3)
9x7
If a rectangle is twice as long as it is wide and has a perimeter of 24 meters, what is the area of the rectangle?
| 8 m2 | |
| 162 m2 | |
| 2 m2 | |
| 32 m2 |
The area of a rectangle is width (w) x height (h). In this problem we know that the rectangle is twice as long as it is wide so h = 2w. The perimeter of a rectangle is 2w + 2h and we know that the perimeter of this rectangle is 24 meters so the equation becomes: 2w + 2h = 24.
Putting these two equations together and solving for width (w):
2w + 2h = 24
w + h = \( \frac{24}{2} \)
w + h = 12
w = 12 - h
From the question we know that h = 2w so substituting 2w for h gives us:
w = 12 - 2w
3w = 12
w = \( \frac{12}{3} \)
w = 4
Since h = 2w that makes h = (2 x 4) = 8 and the area = h x w = 4 x 8 = 32 m2