Solve the equation using the multiplication property of equality and the reciprocal of

1/4(r-5/2=1/8

What is r?


A.) r = 1/3

B.) r = 3

C.) r = 2/5

D.) r = 1/2

Respuesta :

The value of r of the given equation is 3. option B

Step-by-step explanation:

Given,

[tex]\frac{1}{4} (r-\frac{5}{2} ) = \frac{1}{8}[/tex]

or, [tex]r - \frac{5}{2} =(\frac{\frac{1}{8} }{\frac{1}{4} })[/tex] [ [tex]\frac{1}{4}[/tex] will be dividing by [tex]\frac{1}{8}[/tex]]

or, [tex]r-\frac{5}{2}= \frac{1X4}{8X1}[/tex]

or, [tex]r-\frac{5}{2} = \frac{1}{2}[/tex]

or, r = [tex]\frac{1}{2} +\frac{5}{2}[/tex]

or, r = [tex]\frac{6}{2}[/tex]

or, r = 3

Hence the value of r is 3.

Answer:

B 3

Step-by-step explanation: