Question

0.8(2.5-m)=1 3/5m-0.4

Answer 1

Відповідь:

Покрокове пояснення:

0,8(2,5-m)=1 3/5m - 0,4

2-0,8m=1,6m-0,4

-0,8m-1,6m=-0,4-2

-2,4m=-2,4

m=1

Answer 2

To solve the equation 0.8(2.5 - m) = 1 3/5m - 0.4, we can start by simplifying both sides step by step. Let's solve it together:

0.8(2.5 - m) = 1 3/5m - 0.4

First, we'll distribute the 0.8 on the left side:

2 - 0.8m = 1 3/5m - 0.4

Next, let's convert 1 3/5 into an improper fraction:

1 3/5 = 8/5

Substituting this value into the equation:

2 - 0.8m = 8/5m - 0.4

Now, let's isolate the variable terms on one side and the constant terms on the other side:

-0.8m - 8/5m = -0.4 - 2

To simplify, let's find a common denominator for the m terms, which is 5:

(-0.8 * 5m - 8m) / 5 = -2.4

(-4m - 8m) / 5 = -2.4

-12m / 5 = -2.4

Now, let's multiply both sides by 5 to eliminate the denominator:

-12m = -2.4 * 5

-12m = -12

Finally, divide both sides by -12 to solve for m:

m = -12 / -12

m = 1

So the solution to the equation is m = 1.