A group consisting of 10 children an adult went to a movie theater children tickets cost 5 each and adults tickets cost 8 each and the total cost for 10 people was 62.how much children were in the group

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  6 children

Step-by-step explanation:

If all of the group were adults, the total cost of tickets would be 8×$10 = $80. The actual cost was $80 -62 = $18 less than that. Since each children's ticket saves $3 off the cost of an adult ticket, there were $18/$3 = 6 children's tickets.

There were 6 children in the group.

If you want an equation, you can let c represent the number of children. Then the cost of tickets is ...

  8(10 -c) +5c = 62 . . . . 10-c is the number of adults

  -3c = -18 . . . . . . . subtract 80

  c = -18/-3 = 6 . . . divide by 3

there would be 365 different 4 digit numbers

step-by-step explanation:

i belive that it is 365 because i asked google

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240