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Answer:

The equation [tex]2+\frac{1}{3}n=8[/tex] represents the corresponding statement ' two more than 1/3 of a number is eight'.

Step-by-step explanation:

As the sentence statement is

"Two more than 1/3 of number is eight".

Lets decode this sentence and write the corresponding mathematical expression.

  • Let's suppose n is the number.
  • [tex]\frac{1}{3}[/tex] of n will be expressed as [tex]\frac{1}{3}n[/tex]
  • Two more then 1/3 of n will be expressed as [tex]2+\frac{1}{3}n[/tex]
  • As two more than 1/3 of a number is eight. Therefore, this statement can be easily expressed as [tex]2+\frac{1}{3}n=8[/tex]

Hence, the equation [tex]2+\frac{1}{3}n=8[/tex] represents the corresponding statement ' two more than 1/3 of a number is eight'.

Keywords: equation, algebraic expression

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