klo1291 klo1291
  • 23-04-2021
  • Mathematics
contestada

eight times the reciprocal of a number equals 4 times the reciprocal of 2. find the number

Respuesta :

devishri1977
devishri1977 devishri1977
  • 27-04-2021

Answer:

The number is 4

Step-by-step explanation:

Let the number  = 'x'

Reciprocal of 'x' = 1/x

Reciprocal of 2 = 1/2

8 times the reciprocal of 'x' = [tex]8*\frac{1}{x}\\[/tex]

[tex]8*\frac{1}{x}= 4* \frac{1}{2}\\\\8*\frac{1}{x}= 2\\[/tex]

Now multiply both sides by x

[tex]8*\frac{1}{x}*x = 2*x\\\\8 = 2x[/tex]

Now divide both sides by 2

[tex]\frac{8}{2}=\frac{2x}{2}\\\\4 = x[/tex]

x = 4

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