SOLUTION: Find the value of x so that the mean of {5x, 3/2x, x+9, -x} is -1 A. 2 B. 1/2 C. -1/2 D. -2 Thank you so much!!!!!!!!! God Bless and Happy New Year!!!!!

Algebra ->  Probability-and-statistics -> SOLUTION: Find the value of x so that the mean of {5x, 3/2x, x+9, -x} is -1 A. 2 B. 1/2 C. -1/2 D. -2 Thank you so much!!!!!!!!! God Bless and Happy New Year!!!!!      Log On


   

Question 389663: Find the value of x so that the mean of {5x, 3/2x, x+9, -x} is -1
A. 2
B. 1/2
C. -1/2
D. -2
Thank you so much!!!!!!!!!
God Bless and Happy New Year!!!!!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Previously I stated the equation was


%285x%2B%283%2F2%29x%2Bx%2B9%2B%28-x%29%29%2F4=-1


so let's solve for x.


%285x%2B%283%2F2%29x%2Bx%2B9%2B%28-x%29%29%2F4=-1 Start with the given equation.


5x%2B%283%2F2%29x%2Bx%2B9%2B%28-x%29=-1%2A4 Multiply both sides by 4.


5x%2B%283%2F2%29x%2Bx%2B9%2B%28-x%29=-4 Multiply


5x%2B%283%2F2%29x%2Bx%2B9-x=-4 Rewrite 9%2B%28-x%29 as 9-x


2%285x%29%2Bcross%282%29%283%2Fcross%282%29%29x%2B2x%2B2%2A9-2x=2%28-4%29 Multiply EVERY term by the LCD 2 to clear out the fraction.


10x%2B3x%2B2x%2B18-2x=-8 Multiply and simplify.


13x%2B18=-8 Combine like terms on the left side.


13x=-8-18 Subtract 18 from both sides.


13x=-26 Combine like terms on the right side.


x=%28-26%29%2F%2813%29 Divide both sides by 13 to isolate x.


x=-2 Reduce.


----------------------------------------------------------------------

Answer:

So the solution is x=-2


So the answer is choice D)


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim