On a certain hot summer's day, 694 people used the public swimming pool. The daily prices are $ 1.25 for children and $ 2.50 for adults. The receipts for admission totaled $ 1257.50 . How many children and how many adults swam at the public pool that day?

382 children and

312 adults swam

Step-by-step explanation:

Let the number of children be x

And let the number of adult be y

Hence on a hot summer day

x +y = 694 - - - - - - - 1

x= 694-y

Also the daily prices are $ 1.25 for children and $ 2.50 for adults

1.25x + 2.50y= 1257.502

Let us substitute x= 694-y in equation 2

1.25(694-y) + 2.50y =1257.50

867.5-1.25y +2.50y = 1257.50

-1.25y+2.50y= 1257.58-867.5

1.25y= 390

y= 398/1.25

y= 312

Substitute y= 312 in equation 1 to find x

x + 312= 694

x= 694-312

x= 382

Hence 382 children and

312 adults swam

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.