Answer:
Step-by-step explanation:
Area of the figure = area of the down triangle + area of trapezium + area of the upper triangle
Down triangle:
Base b = 8 in
Height = 6 in

= 24 in²
Trapezium:
bases a = 4 in & b = 6 in
Height h = 5 in

= 25 in²
Area of the upper triangle:
Base b = 6 in
Height = (8 - 5) = 3 in

= 9 in²
Area of the figure = 24 + 25 + 9 = 58 in²
Answer:
See attachment
Step-by-step explanation:
The given inequality is 
By the definition of the absolute value function, we obtain the compound inequality.

When we simplify we get:

The graph for the solution set is shown in the attachment
Answer: y= 16 - 3/2x
Step-by-step explanation:
3x+2y=32 (subtract 3x from both sides)
2y=32-3x (divide both sides by 2)
y= 16 - 3/2 x
If solving for x:
3x + 2y = 32
3x = 32- 2y
x = 32/3 - 2/3 y
David sold 60 bottles and Sammy sold 100 bottles. x(5+3)=160; 5x+3x=160; 8x=160; 8x/8=160/8; x=20; 20(5+30); 100+60=160