Question

(6 2/9-5 5/6):(7/36) = 1,3-3,6(X-3)=5*(8-0,4Х)    x-4/9=5/2

Answer 1

x-4/9=5/2
х=5/2+4/9
х=45/18+8/18
х=2 7/18

(6 2/9-5 5/6):(7/36) =( 6 8/36-5 25/36)*36/7=19/36*36/7=2 5/7
1,3-3,6(X-3)=5*(8-0,4Х)
1,3-3,6х-10,8=40-2х
-3,6х+2х=40-1,3+10,8
-1,6х=49,5
х=-49,5:1,6
х=-3 15/16

Answer 2

Let's break down the equations step by step:

1. (6 2/9 - 5 5/6) / (7/36)

First, let's convert the mixed numbers to improper fractions:

• 6 2/9 is equivalent to (6 * 9 + 2) / 9 = 56/9
• 5 5/6 is equivalent to (5 * 6 + 5) / 6 = 35/6

So the equation becomes:

(56/9 - 35/6) / (7/36)

Now, let's simplify further:

(56/9 - 35/6) * (36/7)

Now, find a common denominator, which is 18, for both fractions:

(112/18 - 105/18) * (36/7)

Now, subtract the fractions:

(7/18) * (36/7)

Now, cancel out the common factors:

(1/2) * 36

Multiply:

1 * 36 / 2 = 18

So, (6 2/9 - 5 5/6) / (7/36) = 18

2. 1.3 - 3.6(X - 3) = 5 * (8 - 0.4X)

First, distribute the 3.6 on the left side and 5 on the right side:

1.3 - 3.6X + 10.8 = 40 - 2X

Now, let's group like terms:

-3.6X + 1.3 + 10.8 = 40 - 2X

Combine constants:

-3.6X + 12.1 = 40 - 2X

Now, let's get all the terms involving X on one side by adding 2X to both sides:

-3.6X + 2X + 12.1 = 40

Now, simplify:

-1.6X + 12.1 = 40

Subtract 12.1 from both sides:

-1.6X = 40 - 12.1

-1.6X = 27.9

Now, divide by -1.6 to solve for X:

X = 27.9 / (-1.6)

X ≈ -17.4375

So, the solution to the equation 1.3 - 3.6(X - 3) = 5 * (8 - 0.4X) is approximately X ≈ -17.4375.

3. x - 4/9 = 5/2

To solve for x, add 4/9 to both sides:

x = 5/2 + 4/9

To add these fractions, find a common denominator, which is 18:

x = (45/18 + 8/18)

Now, add the fractions:

x = 53/18

So, the solution to the equation x - 4/9 = 5/2 is x = 53/18.