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Home » From Simple to Spectacular: Perfect Mehndi Designs You Haven’t Tried Yet! - Portal da AcÃºstica

From Simple to Spectacular: Perfect Mehndi Designs You Haven’t Tried Yet! - Portal da AcÃºstica

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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

📌 Solution: Average equation: $ \frac{(3y + 1) + (y + 7) + (5y - 2)}{3} = 10 $. Simplify numerator: $ 9y + 6 = 30 $. Subtract 6: $ 9y = 24 $. Divide: $ y = \frac{8}{3} $. \boxed{\dfrac{8}{3}}

📌 Question: A weather model predicts rainfall every 5 hours and wind speed changes every 7 hours. When will both events align again?

📌 Solution: Find LCM of 5 and 7. Since they are coprime, LCM is $ 5 \times 7 = 35 $. \boxed{35}

📌 Question: How many whole numbers are between $ \sqrt{20} $ and $ \sqrt{50} $? (Use $ \sqrt{20} \approx 4.47 $, $ \sqrt{50} \approx 7.07 $)

📌 Solution: Integers between 4.47 and 7.07 are 5, 6, 7. Total: 3. \boxed{3}

📌 Question: The ratio of thunderstorms to clear days in a month is $ 3:5 $. If there are 15 thunderstorms, how many total days are in the month?

📌 Solution: Let total days be $ x $. Ratio $ \frac{3}{8} = \frac{15}{x} $. Cross-multiply: $ 3x = 120 $. Divide: $ x = 40 $. \boxed{40}

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