| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.81 |
| Score | 0% | 56% |
If the ratio of home fans to visiting fans in a crowd is 5:1 and all 36,000 seats in a stadium are filled, how many home fans are in attendance?
| 24,750 | |
| 26,250 | |
| 30,000 | |
| 28,000 |
A ratio of 5:1 means that there are 5 home fans for every one visiting fan. So, of every 6 fans, 5 are home fans and \( \frac{5}{6} \) of every fan in the stadium is a home fan:
36,000 fans x \( \frac{5}{6} \) = \( \frac{180000}{6} \) = 30,000 fans.
Solve 5 + (2 + 5) ÷ 5 x 4 - 52
| \(\frac{8}{9}\) | |
| -14\(\frac{2}{5}\) | |
| 1 | |
| 1\(\frac{2}{3}\) |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
5 + (2 + 5) ÷ 5 x 4 - 52
P: 5 + (7) ÷ 5 x 4 - 52
E: 5 + 7 ÷ 5 x 4 - 25
MD: 5 + \( \frac{7}{5} \) x 4 - 25
MD: 5 + \( \frac{28}{5} \) - 25
AS: \( \frac{25}{5} \) + \( \frac{28}{5} \) - 25
AS: \( \frac{53}{5} \) - 25
AS: \( \frac{53 - 125}{5} \)
\( \frac{-72}{5} \)
-14\(\frac{2}{5}\)
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 40% off." If Bob buys two shirts, each with a regular price of $22, how much money will he save?
| $3.30 | |
| $8.80 | |
| $11.00 | |
| $9.90 |
By buying two shirts, Bob will save $22 x \( \frac{40}{100} \) = \( \frac{$22 x 40}{100} \) = \( \frac{$880}{100} \) = $8.80 on the second shirt.
What is \( 2 \)\( \sqrt{48} \) + \( 2 \)\( \sqrt{3} \)
| 4\( \sqrt{48} \) | |
| 10\( \sqrt{3} \) | |
| 4\( \sqrt{16} \) | |
| 4\( \sqrt{3} \) |
To add these radicals together their radicands must be the same:
2\( \sqrt{48} \) + 2\( \sqrt{3} \)
2\( \sqrt{16 \times 3} \) + 2\( \sqrt{3} \)
2\( \sqrt{4^2 \times 3} \) + 2\( \sqrt{3} \)
(2)(4)\( \sqrt{3} \) + 2\( \sqrt{3} \)
8\( \sqrt{3} \) + 2\( \sqrt{3} \)
Now that the radicands are identical, you can add them together:
8\( \sqrt{3} \) + 2\( \sqrt{3} \)What is \( \frac{2}{5} \) x \( \frac{2}{9} \)?
| \(\frac{1}{63}\) | |
| \(\frac{4}{5}\) | |
| \(\frac{4}{45}\) | |
| \(\frac{1}{32}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{5} \) x \( \frac{2}{9} \) = \( \frac{2 x 2}{5 x 9} \) = \( \frac{4}{45} \) = \(\frac{4}{45}\)