| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.09 |
| Score | 0% | 62% |
Diane scored 74% on her final exam. If each question was worth 2 points and there were 100 possible points on the exam, how many questions did Diane answer correctly?
| 43 | |
| 37 | |
| 35 | |
| 30 |
Diane scored 74% on the test meaning she earned 74% of the possible points on the test. There were 100 possible points on the test so she earned 100 x 0.74 = 74 points. Each question is worth 2 points so she got \( \frac{74}{2} \) = 37 questions right.
Which of these numbers is a factor of 28?
| 30 | |
| 2 | |
| 15 | |
| 20 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 28 are 1, 2, 4, 7, 14, 28.
How many 2 gallon cans worth of fuel would you need to pour into an empty 20 gallon tank to fill it exactly halfway?
| 8 | |
| 5 | |
| 10 | |
| 2 |
To fill a 20 gallon tank exactly halfway you'll need 10 gallons of fuel. Each fuel can holds 2 gallons so:
cans = \( \frac{10 \text{ gallons}}{2 \text{ gallons}} \) = 5
What is \( \frac{4}{7} \) ÷ \( \frac{4}{7} \)?
| \(\frac{2}{5}\) | |
| 1 | |
| 7 | |
| \(\frac{3}{40}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{4}{7} \) ÷ \( \frac{4}{7} \) = \( \frac{4}{7} \) x \( \frac{7}{4} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{7} \) x \( \frac{7}{4} \) = \( \frac{4 x 7}{7 x 4} \) = \( \frac{28}{28} \) = 1
In a class of 26 students, 11 are taking German and 8 are taking Spanish. Of the students studying German or Spanish, 6 are taking both courses. How many students are not enrolled in either course?
| 13 | |
| 25 | |
| 16 | |
| 23 |
The number of students taking German or Spanish is 11 + 8 = 19. Of that group of 19, 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 19 - 6 = 13 who are taking at least one language. 26 - 13 = 13 students who are not taking either language.