If x is the average (arithmetic mean) of m and 9, y is the average of 2m and 15, and z is the average of 3m and 18, what is the average of x, y, and z in terms of m?

A) m+6
B) m+7
C) 2m+14
D) 3m+21

Respuesta :

For this case we have to:
 x = (m + 9) / 2
 y = (2m + 15) / 2
 z = (3m + 18) / 2
 The average of x, y, and z is:
 Average = (x + y + z) / 3
 Average = (((m + 9) / 2) + ((2m + 15) / 2) + ((3m + 18) / 2)) / 3
 Average = (((m + 9)) + ((2m + 15)) + ((3m + 18))) / 6
 Average = (6m + 42) / 6
 Average = (m + 7)
 answer:
 The average of x, y, and z in terms of m is
 B) m+7
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