samanthamason13
Answered

pleeeease help me translate the following sentence into an equation using n to represent the unknown number. Then solve the equation for n.


six more than twice a number is 16

a.

6(2 + n) = 16

n = 5

b.

6(2 + n) = 16

n =2/3

6 + 2n = 16

n = 5

d.

6 + 2n = 16

n = 10

Verified Answer :

six more than: 6 + or + 6
twice a number: let n represent the unknown number: 2n

6 + 2n = 16

So, the answer is either c or d

So, solve the equation

Subtract 6 on both sides of the equation

2n=10

Divide by 2 on both sides of the equation

n=5

So, the answer is C

JonHenderson55

The answer is:  [C]:
_____________________________________________________
"6 + 2n = 16 ;
 n = 5 " .
______________________
Note:  6 + 2n = 16 ; 
______________________________________________________
 → Subtract "6" from each side of the equation:
______________________________________________________
  →  6n + 2n − 6 = 16 − 6 ;
______________________________________________________
  to get:
______________________________________________________
  → 2n = 10 ;
______________________________________________________
   → Now, divide EACH side of the equation by "2" ; to isolate "n" on EACH side of the equation; and to solve for "n" ;
______________________________________________________ 
              →  2n / 2 = 10 / 2 ;
______________________________________________________
to get:    →  n = 5 .
__________________________________________________________

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