Math, asked by hiresh78pgmailcom, 23 days ago


13. A rational number is such that when you multiply it by 5 and add
to the product, you get -7/12.
What is the number?

Answers

Answered by Naraharinakshathra
0

Step-by-step explanation:

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Answered by Yuseong
2

Answer:

-7/120

Step-by-step explanation:

As per the provided information in the given question, we have :

  • A rational number is such that when you multiply it by 5 and add to the product, you get -7/12.

We are asked to calculate the number.

Let us suppose the number as x.

― According to the question, the number is such that when you multiply it by 5 and add to the product, you get -7/12. Writing it in the form of an equation,

\longmapsto\rm {5(Number) + Product = \dfrac{-7}{12} } \\

Substitute the value of x. Product is the number which we'll get after multiplying x with 5.

\longmapsto\rm {5x + 5x = \dfrac{-7}{12} } \\

Performing addition of the like terms in L.H.S.

\longmapsto\rm {10x = \dfrac{-7}{12} } \\

Now, transposing 10 from L.H.S to R.H.S, its arithmetic operator will get changed.

\longmapsto\rm {x = \dfrac{-7}{12}\div 10 } \\

Performing division of the fractions in R.H.S.

\longmapsto\rm {x = \dfrac{-7}{12}\times \dfrac{1}{10}} \\

Performing multiplication in R.H.S and simplifying further.

\longmapsto \underline{\boxed{\bf {x = \dfrac{-7}{120} }}} \; \bigstar\\

The number is -7/120.

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