| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.55 |
| Score | 0% | 71% |
In a class of 31 students, 7 are taking German and 15 are taking Spanish. Of the students studying German or Spanish, 4 are taking both courses. How many students are not enrolled in either course?
| 28 | |
| 13 | |
| 15 | |
| 30 |
The number of students taking German or Spanish is 7 + 15 = 22. Of that group of 22, 4 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 22 - 4 = 18 who are taking at least one language. 31 - 18 = 13 students who are not taking either language.
What is \( \sqrt{\frac{25}{81}} \)?
| \(\frac{2}{7}\) | |
| 1 | |
| \(\frac{5}{9}\) | |
| 2\(\frac{1}{4}\) |
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:
\( \sqrt{\frac{25}{81}} \)
\( \frac{\sqrt{25}}{\sqrt{81}} \)
\( \frac{\sqrt{5^2}}{\sqrt{9^2}} \)
\(\frac{5}{9}\)
If \(\left|a\right| = 7\), which of the following best describes a?
a = 7 or a = -7 |
|
a = 7 |
|
a = -7 |
|
none of these is correct |
The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).
12 members of a bridal party need transported to a wedding reception but there are only 2 5-passenger taxis available to take them. How many will need to find other transportation?
| 8 | |
| 58 | |
| 2 | |
| 3 |
There are 2 5-passenger taxis available so that's 2 x 5 = 10 total seats. There are 12 people needing transportation leaving 12 - 10 = 2 who will have to find other transportation.
How many 13-passenger vans will it take to drive all 32 members of the football team to an away game?
| 11 vans | |
| 16 vans | |
| 4 vans | |
| 3 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{32}{13} \) = 2\(\frac{6}{13}\)
So, it will take 2 full vans and one partially full van to transport the entire team making a total of 3 vans.