Respuesta :

Answer:

35

Step-by-step explanation:

Write an algebraic equation to find the answer. Let x equal the unknown number.  

We know that 11 must be subtracted from the quotient of the number and five. A quotient is the term used to describe a result from division - so the part "the quotient of the number and five" must be [tex]\frac{x}{5}[/tex]. Also, 11 needs to be subtracted from it - so this gives us [tex]\frac{x}{5} -11[/tex]. Finally, it's given that the expression gives a result of -4. So, the algebraic equation must be [tex]\frac{x}{5} -11 = -4[/tex].

To find the answer, let's isolate x:

[tex]\frac{x}{5} -11 = -4\\\frac{x}{5} = 7\\x = 35[/tex]

Therefore, the number must be 35.