At the movie theatre, child admission is $5.40 and adult admission is $9.80. on wednesday, four times as many adult tickets as child tickets were sold, for a total sales of $1070.40. how many child tickets were sold that day?

the number of children tickets that were sold is 24

Step-by-step explanation:

Let x represent the number of child tickets sold at the movie theatre on Wednesday

Let y represent the number of adult tickets sold at the movie theatre on Wednesday.

At the movie theatre, child admission is $5.40 and adult admission is $9.80.

On Wednesday, a total sales of $1070.40 was made. It means that

5.4x + 9.8y = 1070.40 - - - - - - -- 1

On Wednesday, four times as many adult tickets as child tickets were sold. This means that

y = 4x

Substituting x = 4y into equation 1, it becomes

5.4x + 9.8 × 4x = 1070.4

5.4x + 39.2x = 1070.4

44.6x = 1070.4

x = 1070.4/44.6 = 24

y = 24×4 = 96

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180