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Home » Shocked! Acetone Is the Secret to Instantly Removing Fake Nails Like a Pro! - Portal da AcÃºstica

Shocked! Acetone Is the Secret to Instantly Removing Fake Nails Like a Pro! - Portal da AcÃºstica

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Solution: The average of 12, 15, and $ x $ is given by $ \frac{12 + 15 + x}{3} = 14 $. Multiply both sides by 3: $ 27 + x = 42 $. Subtract 27: $ x = 15 $. \boxed{15}

📌 Question: A meteorologist tracks two weather patterns: one occurs every 8 days, another every 12 days. After how many days will both patterns coincide?

📌 Solution: Find the least common multiple (LCM) of 8 and 12. Prime factors of 8: $ 2^3 $, of 12: $ 2^2 \times 3 $. LCM is $ 2^3 \times 3 = 24 $. \boxed{24}

📌 Question: How many integers lie between $ \frac{11}{3} $ and $ \pi + 2 $? (Use $ \pi \approx 3.14 $)

📌 Solution: Calculate $ \frac{11}{3} \approx 3.666 $ and $ \pi + 2 \approx 5.14 $. Integers between them are 4 and 5. Total: 2. \boxed{2}

📌 Question: The ratio of red to blue paint in a mixture is $ 7:4 $. If there are 21 liters of red paint, how many liters of blue paint are present?

📌 Solution: Set up the proportion $ \frac{7}{4} = \frac{21}{x} $. Cross-multiply: $ 7x = 84 $. Divide: $ x = 12 $. \boxed{12}

📌 Question: The average of $ 3y + 1 $, $ y + 7 $, and $ 5y - 2 $ is 10. Solve for $ y $.

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