| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.16 |
| Score | 0% | 63% |
In a class of 26 students, 15 are taking German and 6 are taking Spanish. Of the students studying German or Spanish, 3 are taking both courses. How many students are not enrolled in either course?
| 24 | |
| 14 | |
| 8 | |
| 10 |
The number of students taking German or Spanish is 15 + 6 = 21. Of that group of 21, 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 21 - 3 = 18 who are taking at least one language. 26 - 18 = 8 students who are not taking either language.
What is \( \frac{2}{6} \) x \( \frac{3}{8} \)?
| \(\frac{1}{36}\) | |
| \(\frac{16}{63}\) | |
| \(\frac{1}{8}\) | |
| \(\frac{4}{81}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{6} \) x \( \frac{3}{8} \) = \( \frac{2 x 3}{6 x 8} \) = \( \frac{6}{48} \) = \(\frac{1}{8}\)
A tiger in a zoo has consumed 42 pounds of food in 3 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 140 pounds?
| 3 | |
| 7 | |
| 8 | |
| 1 |
If the tiger has consumed 42 pounds of food in 3 days that's \( \frac{42}{3} \) = 14 pounds of food per day. The tiger needs to consume 140 - 42 = 98 more pounds of food to reach 140 pounds total. At 14 pounds of food per day that's \( \frac{98}{14} \) = 7 more days.
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common factor |
|
absolute value |
|
least common multiple |
|
greatest common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
What is the next number in this sequence: 1, 5, 13, 25, 41, __________ ?
| 55 | |
| 68 | |
| 64 | |
| 61 |
The equation for this sequence is:
an = an-1 + 4(n - 1)
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 4(6 - 1)
a6 = 41 + 4(5)
a6 = 61