| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.80 |
| Score | 0% | 56% |
In a class of 29 students, 14 are taking German and 15 are taking Spanish. Of the students studying German or Spanish, 9 are taking both courses. How many students are not enrolled in either course?
| 27 | |
| 28 | |
| 19 | |
| 9 |
The number of students taking German or Spanish is 14 + 15 = 29. Of that group of 29, 9 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 29 - 9 = 20 who are taking at least one language. 29 - 20 = 9 students who are not taking either language.
What is 8\( \sqrt{4} \) x 3\( \sqrt{4} \)?
| 24\( \sqrt{4} \) | |
| 24\( \sqrt{8} \) | |
| 11\( \sqrt{16} \) | |
| 96 |
To multiply terms with radicals, multiply the coefficients and radicands separately:
8\( \sqrt{4} \) x 3\( \sqrt{4} \)
(8 x 3)\( \sqrt{4 \times 4} \)
24\( \sqrt{16} \)
Now we need to simplify the radical:
24\( \sqrt{16} \)
24\( \sqrt{4^2} \)
(24)(4)
96
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 10% off." If Monty buys two shirts, each with a regular price of $48, how much will he pay for both shirts?
| $67.20 | |
| $43.20 | |
| $91.20 | |
| $52.80 |
By buying two shirts, Monty will save $48 x \( \frac{10}{100} \) = \( \frac{$48 x 10}{100} \) = \( \frac{$480}{100} \) = $4.80 on the second shirt.
So, his total cost will be
$48.00 + ($48.00 - $4.80)
$48.00 + $43.20
$91.20
If the ratio of home fans to visiting fans in a crowd is 3:1 and all 31,000 seats in a stadium are filled, how many home fans are in attendance?
| 23,250 | |
| 36,667 | |
| 36,800 | |
| 24,000 |
A ratio of 3:1 means that there are 3 home fans for every one visiting fan. So, of every 4 fans, 3 are home fans and \( \frac{3}{4} \) of every fan in the stadium is a home fan:
31,000 fans x \( \frac{3}{4} \) = \( \frac{93000}{4} \) = 23,250 fans.
Which of these numbers is a factor of 56?
| 49 | |
| 1 | |
| 36 | |
| 57 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56.