| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.10 |
| Score | 0% | 62% |
In a class of 27 students, 7 are taking German and 14 are taking Spanish. Of the students studying German or Spanish, 4 are taking both courses. How many students are not enrolled in either course?
| 11 | |
| 10 | |
| 24 | |
| 19 |
The number of students taking German or Spanish is 7 + 14 = 21. Of that group of 21, 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 21 - 4 = 17 who are taking at least one language. 27 - 17 = 10 students who are not taking either language.
A tiger in a zoo has consumed 99 pounds of food in 9 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 132 pounds?
| 9 | |
| 3 | |
| 8 | |
| 1 |
If the tiger has consumed 99 pounds of food in 9 days that's \( \frac{99}{9} \) = 11 pounds of food per day. The tiger needs to consume 132 - 99 = 33 more pounds of food to reach 132 pounds total. At 11 pounds of food per day that's \( \frac{33}{11} \) = 3 more days.
Convert x-3 to remove the negative exponent.
| \( \frac{1}{x^3} \) | |
| \( \frac{-3}{-x} \) | |
| \( \frac{-3}{x} \) | |
| \( \frac{-1}{-3x^{3}} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
If there were a total of 350 raffle tickets sold and you bought 24 tickets, what's the probability that you'll win the raffle?
| 18% | |
| 7% | |
| 17% | |
| 12% |
You have 24 out of the total of 350 raffle tickets sold so you have a (\( \frac{24}{350} \)) x 100 = \( \frac{24 \times 100}{350} \) = \( \frac{2400}{350} \) = 7% chance to win the raffle.
If \( \left|a + 7\right| \) + 2 = 2, which of these is a possible value for a?
| -9 | |
| 1 | |
| -7 | |
| -26 |
First, solve for \( \left|a + 7\right| \):
\( \left|a + 7\right| \) + 2 = 2
\( \left|a + 7\right| \) = 2 - 2
\( \left|a + 7\right| \) = 0
The value inside the absolute value brackets can be either positive or negative so (a + 7) must equal + 0 or -0 for \( \left|a + 7\right| \) to equal 0:
| a + 7 = 0 a = 0 - 7 a = -7 | a + 7 = 0 a = 0 - 7 a = -7 |
So, a = -7 or a = -7.