Respuesta :

Answer:

x= 54

Step-by-step explanation:

let the number be (x)

so One sixth of x will be 9

numerically,

1/6 × (x) =9

x= 9×6

x= 54

Given ↓

  • The verbal phrase → one-sixth of a number is 9

To find ↓

  • The algebraic expression of the verbal phrase

Calculations ↓

One-sixth can be written as [tex]^1/_6[/tex]

now, let the number be y

so one-sixth of y is written as

[tex]^1/_6~y~=~9[/tex]

If it's necessary to solve for y, consult the [Solving for y] section of this ans ↓

[Solving for y]

First we need to get rid of the fraction, one-sixth.

since in mathematics we can't just terminate fractions without altering the equation/expression itself, we need to perform an operation.

the first one is multiplication; we will multiply both sides of the equation by 6 (the denominator of the fraction)

[tex]^1/_6*6~y~=~9~*~6}[/tex]

On the left-hand side the 6's cancel, and we're left with

1 y = 9 * 6

Or

y = 9* 6

Which simplifies to :

y = 54

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