At a clothing store 3 shirts and 8 hats cost $65. the cost for 2 shirts and 2 hats is $30. how much does each shirt and hat cost

A shirt x cost $11

and a hat y cost $4

Step-by-step explanation:

Step one

This is a word problem and we can tackle it by expressing it Mathematically

Let us initialize shirt as "x" and hat as "y"

Now

1. 3 shirts and 8 hats cost $65

Mathematically

3x+8y= 65 - - - - - - - 1

2. the cost for 2 shirts and 2 hats is

$30

Mathematically

2x + 2y = 302

We now have two equations with two unknowns

We can solve for the unknown simultaneously

Step a. Multiply equation one by 1

And equation two by 4

3x+8y= 65 - - - - - - - 1

8x + 8y = 1202

Step b

Subtracting equation one from two

3x+8y= 65 - - - - - - - 1

-(8x + 8y = 120) 2

=-5x+0=-55

-5x=-55

5x=55

x=55/5

x=11

Substituting the value of x in any of the equation above to solve for y say equation 2

2(11) + 2y = 30

22+2y=30

2y= 30-22

2y= 8

y= 8/2

y= 4

Hence a shirt x cost $11

And the hat y cost $4

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.

step-by-step explanation: