Cost of admission to a town fair was $8 for adults and $5 for children. If 206 people attended the fair, and ticket sales totaled $1408, how many adult tickets were sold?

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Step-by-step explanation:

Step one:

let the number of adults be x

and the number of children be y

cost of tickets $8 for adults and $5 for children

total tickets is 206

total money made=$1408

Step two:

The system of equation is

x+y=2061

8x+5y=14082

from 1 x=206-y

put x=206-y in equation 2 we have

8(206-y)+5y=1408

1648-8y+5y=1408

-3y=1408-1648

-3y=-240

divide both sides by -3

y=80 children tickets

put y=80 in x+y=2061

x+80=206

x=206-80

x=126 adult tickest

126 adult tickest

the answer is 62

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.