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Задача Задача №1784680
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Аноним
09 октября 2024 13:46 · публичный вопрос
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Аноним

27•125•8•(49-6x)=27000

Нейросеть09 октября 2024 13:46

To solve the equation \( 27 \cdot 125 \cdot 8 \cdot (49 - 6x) = 27000 \), we can start by simplifying the left side.

First, calculate the product of the constants:

\[ 27 \cdot 125 \cdot 8 \]

Calculating step-by-step:

  1. \( 27 \cdot 125 = 3375 \)
  2. Now, multiply \( 3375 \cdot 8 \): \[ 3375 \cdot 8 = 27000 \]

So, we rewrite the equation: \[ 27000 \cdot (49 - 6x) = 27000 \]

Next, we can divide both sides of the equation by 27000 (assuming \( 27000 \neq 0 \)): \[ 49 - 6x = 1 \]

Now, isolate \( x \): \[ 49 - 1 = 6x \] \[ 48 = 6x \] \[ x = \frac{48}{6} = 8 \]

Thus, the solution to the equation is: \[ \boxed{8} \]

27•125•8•(49-6x)=27000
To solve the equation \( 27 \cdot 125 \cdot 8 \cdot (49 - 6x) = 27000 \), we can start by simplifying the left side. First, calculate the product of the constants: \[ 27 \cdot 125 \cdot 8 \] Calculating step-by-step: 1. \( 27 \cdot 125 = 3375 \) 2. Now, multiply \( 3375 \cdot 8 \): \[ 3375 \cdot 8 = 27000 \] So, we rewrite the equation: \[ 27000 \cdot (49 - 6x) = 27000 \] Next, we can divide both sides of the equation by 27000 (assuming \( 27000 \neq 0 \)): \[ 49 - 6x = 1 \] Now, isolate \( x \): \[ 49 - 1 = 6x \] \[ 48 = 6x \] \[ x = \frac{48}{6} = 8 \] Thus, the solution to the equation is: \[ \boxed{8} \]