This year, John played in 10 baseball games. In these games he had hit the ball 2,3,1,1,3,2,4,6,2, and x times. The mean is 3 hits per game. Find the missing value

x = 3

Step-by-step explanation:

The mean is the average so set up an equation that adds up all the points and divides them by the total, set equal to 3, and solve for x

(2+3+1+1+3+2+4+6+2+x)/10 = 3

(24 + x)/10 = 3

24 + x = 30

x = 6

To check if this is correct, add up all the numbers and divide by 10.

2+3+1+1+3+2+4+6+2+6 = 30/10 = 3

in simplified version   it would be x ≤-4

step-by-step explanation:

multiply each term in x ≤-4 by -1

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.