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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