If a is the average (arithmetic mean) of 6m and 10, b is the average of 4m and 4, and c is the average of 14m and 16, what is the average of a, b, and c in terms of m?

Respuesta :

Answer:

6m+7.5

Step-by-step explanation:

the arithmetic mean is the average of two numbers

it is given that a is average of 6m and 10

so [tex]a=\frac{6m+10}{2}[/tex]

b is the average of 4m and 4

so [tex]b=\frac{4m+4}{2}[/tex]

c is the average of 14m and 16

so [tex]c=\frac{14m+16}{2}[/tex]

now the average of a ,b and c is given by

[tex]average=\frac{a+b+c}{3}=\frac{\frac{6m+10}{2}+\frac{4m+4}{2}+\frac{14m+16}{2}}{3}=6m+7.5[/tex]

Q&A Education