Новая Школа - онлайн-школа подготовки к ЕГЭ
Задача Задача №2401964
А
Аноним
03 декабря 2024 08:51 · публичный вопрос
А
Аноним

(8,6x+13,6):6=4,6

Нейросеть03 декабря 2024 08:51

To solve the equation \((8,6x + 13,6) : 6 = 4,6\), we first need to interpret the notation correctly. The equation appears to be a division of a sum by 6:

\[ \frac{8.6x + 13.6}{6} = 4.6 \]

Now, let's solve for \(x\):

  1. Multiply both sides by 6 to eliminate the fraction:

    \[ 8.6x + 13.6 = 4.6 \times 6 \]

    Calculating \(4.6 \times 6\):

    \[ 4.6 \times 6 = 27.6 \]

    So we have:

    \[ 8.6x + 13.6 = 27.6 \]

  2. Subtract 13.6 from both sides to isolate the term with \(x\):

    \[ 8.6x = 27.6 - 13.6 \]

    Calculating \(27.6 - 13.6\):

    \[ 27.6 - 13.6 = 14 \]

    So we have:

    \[ 8.6x = 14 \]

  3. Divide both sides by 8.6 to solve for \(x\):

    \[ x = \frac{14}{8.6} \]

    Calculating \( \frac{14}{8.6} \):

    \[ x \approx 1.6279 \]

So, the solution is:

\[ x \approx 1.63 \text{ (rounded to two decimal places)} \]

(8,6x+13,6):6=4,6
To solve the equation \((8,6x + 13,6) : 6 = 4,6\), we first need to interpret the notation correctly. The equation appears to be a division of a sum by 6: \[ \frac{8.6x + 13.6}{6} = 4.6 \] Now, let's solve for \(x\): 1. **Multiply both sides by 6** to eliminate the fraction: \[ 8.6x + 13.6 = 4.6 \times 6 \] Calculating \(4.6 \times 6\): \[ 4.6 \times 6 = 27.6 \] So we have: \[ 8.6x + 13.6 = 27.6 \] 2. **Subtract 13.6 from both sides** to isolate the term with \(x\): \[ 8.6x = 27.6 - 13.6 \] Calculating \(27.6 - 13.6\): \[ 27.6 - 13.6 = 14 \] So we have: \[ 8.6x = 14 \] 3. **Divide both sides by 8.6** to solve for \(x\): \[ x = \frac{14}{8.6} \] Calculating \( \frac{14}{8.6} \): \[ x \approx 1.6279 \] So, the solution is: \[ x \approx 1.63 \text{ (rounded to two decimal places)} \]