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Home » Divide by \(\pi\): \(288 = 12r^2\). - 500apps

Divide by \(\pi\): \(288 = 12r^2\). - 500apps

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 Question: A linguist is studying the frequency of a particular phoneme in two different languages. If the frequency in Language A is \( f_A = 0.3x + 0.5 \) and in Language B is \( f_B = 0.4x + 0.2 \), find \( x \) such that the frequencies are equal.

📌 Set the frequencies equal to each other:

📌 \[ 0.3x + 0.5 = 0.4x + 0.2 \]

📌 Subtract \( 0.3x \) from both sides:

📌 \[ 0.5 = 0.1x + 0.2 \]

📌 Subtract 0.2 from both sides:

📌 \[ 0.3 = 0.1x \]

📌 Divide both sides by 0.1:

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