Respuesta :

marcthemathtutor

Answer:

m = 12

Step-by-step explanation:

[tex]\frac{m+18}{m}[/tex]=[tex]\frac{5}{2}[/tex]

2(m+18) = 5(m)

2m + 36 = 5m

2m - 5m = -36

-3m = -36

m = 12

jcherry99

Answer:

Step-by-step explanation:

(m + 18) / m = 5/2

Do you know what cross multiplication is for a proportion? It means that you take the top of one fraction and multiply it by the bottom of the other fraction.

So for this question

5 (top right) * m (bottom left)

and put an equal sign

5*m =

Now take the top left and multiply by the bottom right.

2 * (m + 18)

Now equate the two results.

5m = 2*(m + 18)          Remove the brackets.

5*m = 2*m + 2*18       Combine the right.

5m = 2m + 36             Subtract 2m from both sides.

5m-2m=2m-2m+36    Combine

3m = 36                       Divide both sides by 3

3m/3 = 36/3

m = 12

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