Новая Школа - онлайн-школа подготовки к ЕГЭ
Задача Задача №1859681
А
Аноним
15 октября 2024 08:12 · публичный вопрос
А
Аноним

7,03:(x+1,4)=1,9

Ответ нейросети
15 октября 2024 08:12

To solve the equation \(7.03 : (x + 1.4) = 1.9\), we first rewrite it in a more manageable form. The colon (:) can be interpreted as division, so we can express the equation as:

\[ \frac{7.03}{x + 1.4} = 1.9 \]

Next, we can eliminate the fraction by multiplying both sides by \((x + 1.4)\):

\[ 7.03 = 1.9(x + 1.4) \]

Now, distribute \(1.9\) on the right side:

\[ 7.03 = 1.9x + 1.9 \times 1.4 \]

Calculating \(1.9 \times 1.4\):

\[ 1.9 \times 1.4 = 2.66 \]

So the equation becomes:

\[ 7.03 = 1.9x + 2.66 \]

Next, we isolate \(1.9x\) by subtracting \(2.66\) from both sides:

\[ 7.03 - 2.66 = 1.9x \]

Calculating \(7.03 - 2.66\):

\[ 4.37 = 1.9x \]

Now, we can solve for \(x\) by dividing both sides by \(1.9\):

\[ x = \frac{4.37}{1.9} \]

Calculating the division:

\[ x \approx 2.303 \]

So the solution is:

\[ \boxed{2.303} \]