If the arithmetic mean of 4x, 3x, and 12 is 18, then what is the value of x?

x = 6

Step-by-step explanation:

When we find the average, we need to add up all the values and divide the answer by the number of values.

We can use this idea as a formula to answer the question:

(4x + 3x + 12) /3 = 18

collect like terms:

(7x + 12) / 3 = 18

Get rid of the fraction:

7x + 12 = 18 x 3 (multiply both sides by 3)

7x + 12 = 54

move x to one side:

7x = 54 - 12 (to do this we subtract 12 from both sides)

7x = 42

x = 42/7  (divide both sides by 7)

x = 6

Hope this helps,

Cate

72 fudge and 75 toffee

step-by-step explanation:

i hope this : )

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)