Question

4 5 /9 - 1/6 x =5 •(1 + 0,1 X)​

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

Ответ : x = 0$\frac{45}{9} - \frac{1}{6} x = 5 (1+0,1x)\\\\5 - \frac{1}{6} x = 5 + 0,5x\\\\- \frac{1}{6} x = 0,5x\\\\-\frac{1}{6} x = \frac{1}{2} x\\\\-x = 3x\\\\-x-3x=0\\-4x=0\\\\x = 0$

Answer 3

To solve the given equation, let's simplify both sides step by step:

Starting with the left side: 4/5 - 1/9 - 1/6x

We need to find a common denominator for 5, 9, and 6. The least common multiple (LCM) of 5, 9, and 6 is 90.

So, let's convert all the fractions to have a denominator of 90: (4/5) * (18/18) = 72/90 (1/9) * (10/10) = 10/90

Now, the equation becomes: 72/90 - 10/90 - (1/6)x

Combining the fractions on the left side: (72 - 10)/90 - (1/6)x 62/90 - (1/6)x

Simplifying further: 31/45 - (1/6)x

Now let's simplify the right side of the equation: 5 * (1 + 0.1x) 5 + 5(0.1x) 5 + 0.5x

So, the equation becomes: 31/45 - (1/6)x = 5 + 0.5x

To continue solving for x, we'll eliminate the fractions by multiplying both sides of the equation by the common denominator of 45 and 6, which is 270:

270 * (31/45 - (1/6)x) = 270 * (5 + 0.5x)

After simplifying, we get: 270 * (31/45) - 270 * (1/6)x = 270 * 5 + 270 * 0.5x

Multiplying each term: (270 * 31)/45 - (270 * 1 * x)/6 = 1350 + 270 * 0.5 * x

Simplifying further: 8370/45 - 45x/6 = 1350 + 135x

Now, let's continue simplifying and solving for x: 186 - 7.5x = 1350 + 135x

Bringing like terms together: 135x + 7.5x = 1350 - 186

Simplifying: 142.5x = 1164

Dividing both sides by 142.5: x = 1164/142.5

Calculating the value of x: x ≈ 8.16

Therefore, the approximate value of x that satisfies the equation is x ≈ 8.16.