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2 years ago

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

Mathematics

2 answers:

Leokris [45]2 years ago

6 0

4x+3x+12= 18
7x+12=18
7x=6
x=6/7

So the answer for x is 6/7

Oksana_A [137]2 years ago

3 0

Answer:

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

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