A movie theater charges $8 for children tickets and $12 for adult tickets. A total of 110 tickets were sold for $1200. How many of each ticket type were sold?

30 children tickets and 80 adult tickets were sold.

Step-by-step explanation:

Let x represent the number of children tickets that were sold.

Let y represent the number of adult tickets that were sold.

A total of 110 tickets were sold. It means that

x + y = 110

The movie theater charges $8 for children tickets and $12 for adult tickets. The total sales from the tickets was $1200. It means that

8x + 12y = 1200- - - - - - - - - 1

Substituting x = 110 - y into equation 1, it becomes

8(110 - y) + 12y = 1200

880 - 8y + 12y = 1200

- 8y + 12y = 1200 - 880

4y = 320

y = 320/4

y = 80

x = 110 - y = 110 - 80

x = 30

send it over

step-by-step explanation:

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841