riosxoxxo2189 riosxoxxo2189
  • 02-07-2020
  • Mathematics
contestada

If (NN)^3 = 8518N, what digit does N represent?

(A) 1

(B) 2

(C) 4

(D) 5

(E) 6

Respuesta :

joaobezerra joaobezerra
  • 04-07-2020

Answer:

(C) 4

Step-by-step explanation:

I am going to solve this by trial and error:

(A) 1

Is: [tex](11)^{3} = 85181[/tex]?

[tex](11)^3 = 1331[/tex]

So 1 is not the digit of N.

(B) 2

Is: [tex](22)^{3} = 85182[/tex]?

[tex]22^3 = 10648[/tex]

So 2 is not the digit of N.

(C) 4

Is: [tex](44)^{3} = 85184[/tex]?

[tex]44^3 = 85184[/tex]

Correct, so the answer is c.

(D) 5

[tex]55^3 = 166375 \neq 85185[/tex]

(E) 6

[tex]66^3 = 287496 \neq 85186[/tex]

Answer Link

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