#6 need ! what’s the solution set to - 1/6(x-18)+1/2(x+2)=x+8

Hello,

Never fear papaman is here to help.

Answer

Let's solve your equation step-by-step.

(−

1

6

)(x−18)+

1

2

(x+2)=x+8

Step 1: Simplify both sides of the equation.

(−

1

6

)(x−18)+

1

2

(x+2)=x+8

(−

1

6

)(x)+(−

1

6

)(−18)+(

1

2

)(x)+(

1

2

)(2)=x+8(Distribute)

−1

6

x+3+

1

2

x+1=x+8

(

−1

6

x+

1

2

x)+(3+1)=x+8(Combine Like Terms)

1

3

x+4=x+8

1

3

x+4=x+8

Step 2: Subtract x from both sides.

1

3

x+4−x=x+8−x

−2

3

x+4=8

Step 3: Subtract 4 from both sides.

−2

3

x+4−4=8−4

−2

3

x=4

Step 4: Multiply both sides by 3/(-2).

(

3

−2

)*(

−2

3

x)=(

3

−2

)*(4)

x=−6

x=−6

Have a nice day

~ Papa guy

simplify the equation to the form, which is simple to understand  

-1/6(x-18)+1/2(x+2)=x+8

Simplifying:

-0.166666666667*(x-18)+1/2*(x+2)=x+8

Simplifying:

-0.166666666667*(x-18) + 0.5*(x+2)=x+8

Reorder the terms in parentheses

+(-0.166666666667x+3) + 0.5*(x+2)=x+8

Remove unnecessary parentheses

-0.166666666667x+3 + 0.5+*(+x+2+)=+x+8

Reorder the terms in parentheses

-0.166666666667x+3+( + 0.5x+1)=x+8

Remove unnecessary parentheses

-0.166666666667x+3 + 0.5x+1=+x+8

move all terms containing x to the left and all other terms to the right.  

-0.166666666667x + 0.5x-1x=+8-3-1

simplify left and right side of the equation.  

-0.666666666667x=+4

divide both sides of the equation by -0.666666666667 to get x.  

x=-6

Hope I helped.

$9.41

step-by-step explanation:

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05