At a farm, 3/5 of the total area is covered by a pumpkin patch and 4/20 of the total area is covered by a cornfield. What fraction of the total area of the farm is covered by the pumpkin patch and the cornfield combined? 4/20 B 7/25 C 7/20 D 16/20

fraction of the total area of the farm is covered by the pumpkin patch and the cornfield combined =4/5

Step-by-step explanation:

Let total area of field be = 1 whole

area is covered by a pumpkin patch =3/5

area is covered by a cornfield =4/20

fraction of the total area of the farm is covered by the pumpkin patch and the cornfield combined

=area covered by a pumpkin patch+area covered by a cornfield

= 3/5 + 4/20

12+4/20

=16/20 = 4/5

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is