| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common multiple |
|
least common factor |
|
absolute value |
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greatest common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
In a class of 27 students, 7 are taking German and 14 are taking Spanish. Of the students studying German or Spanish, 2 are taking both courses. How many students are not enrolled in either course?
| 14 | |
| 8 | |
| 12 | |
| 17 |
The number of students taking German or Spanish is 7 + 14 = 21. Of that group of 21, 2 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 - 2 = 19 who are taking at least one language. 27 - 19 = 8 students who are not taking either language.
If there were a total of 400 raffle tickets sold and you bought 36 tickets, what's the probability that you'll win the raffle?
| 6% | |
| 14% | |
| 11% | |
| 9% |
You have 36 out of the total of 400 raffle tickets sold so you have a (\( \frac{36}{400} \)) x 100 = \( \frac{36 \times 100}{400} \) = \( \frac{3600}{400} \) = 9% chance to win the raffle.
What is -5a5 x 3a5?
| -15a5 | |
| -2a5 | |
| -2a25 | |
| -15a10 |
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:
-5a5 x 3a5
(-5 x 3)a(5 + 5)
-15a10
How many 15-passenger vans will it take to drive all 58 members of the football team to an away game?
| 5 vans | |
| 3 vans | |
| 8 vans | |
| 4 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{58}{15} \) = 3\(\frac{13}{15}\)
So, it will take 3 full vans and one partially full van to transport the entire team making a total of 4 vans.