Write and solve a real world problem that can be modeled by the equation 0.75x-18.50=0.65x.

Diana had chocolate, and ate some, leaving 0.75 of it for Sarah. 
Sarah ate 18.5 grams of it and return the rest to Diana, which was 65% of the original chococate. 
How much chocolate did Diana have at the beginning?
and the solution is: 
0.75x-18.50=0.65x 
0.75x-0.65x=18.500.1x=18.50x=185
So Diana had 185 grams of chocolate.     Hoped that helped!!!

The location of point D is (-4,0)

Step-by-step explanation:

Plot the points A(−2, 4), B(0, 3),C(−2, −1)

see the attached figure

we know that

The coordinates of point D  is the intersection of the line parallel to BC that passes through  the point A with the line parallel to AB that passes through the point C

step 1

Find the slope BC

m=(-1-3)/(-2-0)=2

step 2

Find the slope AB

m=(3-4)/(0+2)=-1/2

step 3

Find the equation of the line parallel to BC that passes through  the point A

we have

m=2

A(-2,4)

The equation of the line into point slope form is equal to

y-4=2(x+2)

y=2x+4+4

y=2x+8 > equation 1

step 4

Find the equation of the line parallel to AB that passes through  the point C

we have

m=-0.5

C(-2,-1)

The equation of the line into point slope form is equal to

y+1=-0.5(x+2)

y=-0.5x-1-1

y=-0.5x-2 > equation 2

step 5

Solve the system of equations 1 and 2

y=2x+8 > equation 1

y=-0.5x-2 > equation 2

Solve the system by graphing

The solution of the system is the point D of rectangle

The solution is D(-4,0)