Answer: To find the average of x, y, and z in terms of m, we first need to find expressions for x, y, and z in terms of m:
x = (m + 9)/2
y = (2m + 15)/2
z = (3m + 18)/3 = (m + 6)
To find the average of x, y, and z, we add them up and divide by the number of terms:
average = (x + y + z)/3
Substituting the expressions for x, y, and z, we get:
average = [(m + 9)/2 + (2m + 15)/2 + (m + 6)]/3
Simplifying the expression by combining like terms, we get:
average = (4m + 30)/6
Simplifying further by dividing both the numerator and denominator by 2, we get:
average = (2m + 15)/3
Therefore, the average of x, y, and z in terms of m is (2m + 15)/3.
Explanation: