Astore received a delivery that consists of x boxes that weigh 30 pounds each and y boxes that weigh 20 pounds each. there are 64 total boxes in the delivery and they have a combined weight of 1400 pounds. enter the number of boxes in the delivery that weigh 20 pounds.

Let the number of 30 pound boxes represented by =x

Let the number of 20 pound boxes be represented by =y

As given, there are 64 boxes so equation is:

or  ..... (1)

Total weight is 1400 pounds so equation becomes

 ...............(2)

Plug in the value of in 2nd equation

and

Hence, the number of boxes for delivery that weigh 20 pounds is 52.

d≈7.07in

step-by-step explanation:

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.