Respuesta :

Answer:

n = 3.5

Step-by-step explanation:

6 x n + 11 = 30

30 - 11 = 21

21 divided by 6 = n

n = 3.5

The given condition can be converted to a mathematical algebraic equation, then we can evaluate the value of n from that equation.

The value of n is obtained as:

n = -6

Given that:

  • 6 times the sum of n and 11 is 30

Formation of equation and evaluation of n:

Sum of n and 11 = n + 11

6 times sum of n and 11 = 6(n+11)

The result is 30, thus:

[tex]6(n+11) = 30[/tex]

Solving that equation further:

[tex]6(n+11) = 30\\\\\text{Diving both sides by 6}\\\\\dfrac{6(n+11)}{6} = \dfrac{30}{6}\\\\\\(n+11) = 5\\\\\text{subtracting 11 from both sides}\\\\n+11-11 = 5-11\\n=-6[/tex]

Thus, we obtain the value of n as -6.

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