At the movie theatre, child admission is $6.10 and adult admission is $9.20 . On Thursday, three times as many adult tickets as child tickets were sold, for a total sales of $707.70 . How many child tickets were sold that day?

Answers

Answer 1
Answer:

Answer:

21 child tickets.

Step-by-step explanation:

Let x represent number of adult tickets and y represent number of child tickets.  

We have been given that on Thursday, three times as many adult tickets as child tickets were sold. We can represent this information in an equation as:

x=3y...(1)

We have been given that at a the movie theater, child admission is $6.10 and adult admission is $9.20.The all tickets were sold for a total of $707.70. We can represent this information in an equation as:

9.20x+6.10y=707.70...(2)  

Upon substituting equation (1) in equation (2), we will get:

9.20(3y)+6.10y=707.70  

27.6y+6.10y=707.70

33.7y=707.70

(33.7y)/(33.7)=(707.70)/(33.7)

y=21

Therefore, 21 child tickets were sold on Thursday.


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Solve y = ax2 + c for x

Answers

Answer:

B on e2020

Step-by-step explanation:

subtract the c from both sides first. then divide by a2 on both sides and x should equal y-c/a2

Find two supplementary angels such that the measure of the first angle is 38° less than three times the measure of the second

Answers


angle 1+ angle 2=180    supplementary angles add up to 180

angle 2=x     assign angle a variable

angle 1= 3x-38      find equation for first angle

3x+x-38=180      set both angles added together equal to 180

4x-38=180        combine like terms

4x=218        add 38 to both sides

x=54.5        divide by 4

angle 2= 54.5

angle 2= (3x54.5)-38   plug back in and solve

angle 1= 125.5           


3x-38
x-2nd angle

3x-38+x=180
4x-38=180
4x=218
x=54.5

First angle 
3(54.5)-38
163.5-38
125.5

Solve for x 3(x-8) = -29.7

Answers

Answer:

x =  - 1.9

The answer of this equation is:

1.9

Which is an equation of the line that passesthrough the point (-4, 4) and is parallel to the line y= 1/2x - 4?

Answers

Answer:

y=1/2x+6

Step-by-step explanation:

Lines that are parallel will have the same slope, so the slope will remain 1/2. However, the y-intercepts can't be the same because then they will overlap each other instead. So we must solve for the missing y-intercept in this case:

y = 1/2x + b

4 = 1/2(-4) + b

4 = -2 + b

6 = b

b = 6

Since the y-intercept is b=6, then the equation of the line that passes through the point (-4,4) and is parallel to the line y=1/2x-4 is y=1/2x+6