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who went home on dwts today - inBeat

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 A science teacher prepares a lab where students must mix two solutions: one containing 15% salt and another 40% salt, to create 120 mL of a 25% salt solution. How many milliliters of the 15% solution are needed?

📌 So, 72 mL of the 15% solution is required.

📌 A marine biologist notes that the number of coral colonies monitored in a reef increases by a constant number each year. In 2022, 150 colonies were recorded; in 2024, 183 were observed. Assuming linear growth, how many colonies are expected in 2026?

📌 Solution: Let the arithmetic progression be $ a - 2d, a - d, a, a + d, a + 2d, a + 3d $, where $ a $ is the fourth term and $ d $ is the common difference. The sum of the first three terms is:

📌 Substitute $ p = 5 $ into equation (1):

📌 Question: A startups user growth follows a geometric sequence where the second term is 12 and the fourth term is 48. What is the fifth term of the sequence?

📌 Solution: Let the first term be $ a $ and the common ratio be $ r $. Then:

📌 Question: An equilateral triangle has side length $ s $. If each side is increased by $ x $ cm, by how many square centimeters does the area increase? Express your answer in terms of $ s $ and $ x $.

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