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olchik [2.2K]
3 years ago
11

If two adults and three children go to the movies, it costs $31.50. If one adult and five children go to the movies, it costs $3

5.00. What is the cost of one adult movie ticket?
Using a = cost of adult ticket and c = cost of child ticket, write a system of equations that could be used to solve the given problem.
Mathematics
2 answers:
stealth61 [152]3 years ago
3 0
 <span>A = adult ticket price 
C = child ticket price 

2A + 3C = 31.50 
1A + 5C = 35.00 

multiply second equation by 2 and subtract the first equation 
2A + 10C = 70.00 
2A + 3C = 31.50 
---------------------- 
7C = 38.5 
C = 5.5 

Plug in C to find A: 
1A + 5 * 5.5 = 35.00 
A + 27.5 = 35.00 
A = 35.00 - 27.5 
A = 7.5

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!</span>
earnstyle [38]3 years ago
3 0

Answer:The correct answer would be $7.50

Step-by-step explanation:

Had this question and got it right

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ben drives from a 36- foot platform. The equation h= -16t^2+14t+36 models the dive. How long will it take Ben to reach the water
Valentin [98]
So you want to plug in the height for h and solve for t

36 = -16t^2+14t+36
So you get 14/16 which simplifies to
7/8 seconds

Hope this helped!
6 0
2 years ago
Find the complement and the supplement of the given angle.<br> 23°
e-lub [12.9K]

Answer:

Complement: 67°

Supplement: 157°

Step-by-step explanation:

Complementary angles = 90°

90-23=67°

Supplementary angles = 180°

180-23=157°

7 0
3 years ago
A candle is 9 inches long. Ronnie lights the candle and records the height of the candle, y inches, for x hours.​
DochEvi [55]

In the future, please post the full problem with all included instructions. After doing a quick internet search, I found your problem listed somewhere else. It mentions two parts (a) and (b)

Part (a) asked for the equation of the line in y = mx+b form

That would be y = -2x+9

This is because each time y goes down by 2, x goes up by 1. We have slope = rise/run = -2/1 = -2. This indicates that the height of the candle decreases by 2 inches per hour. The slope represents the rate of change.

The initial height of the candle is the y intercept b value. So we have m = -2 and b = 9 lead us from y = mx+b to y = -2x+9

----------------------------------------------------------------

Part (b) then asks you to graph the equation. Because this is a linear equation, it produces a straight line. We only need 2 points at minimum to graph any line. Let's plot (0,9) and (1,7) on the same xy grid. These two points are the first two rows of the table. Plot those two points and draw a straight line through them. The graph is below

7 0
2 years ago
Earth travels about 66,600 miles per hour as it revolves around the Sun. How far does Earth travel in 15 seconds?
o-na [289]

Step-by-step explanation:

Miles travelled in 1h=66600

Miles travelled in 1 sec=66600/3600

=18.5miles

Miles travelled in 15 seconds =18.5×15

=<em><u>277.5miles</u></em>

4 0
3 years ago
Read 2 more answers
A certain corporation listed their sales in 100s as 20700. What was their actual volume in millions?
Mariana [72]

Answer: Their actual volume in millions is 207×10⁹.

Step-by-step explanation:

Since we have given that

A certain corporation listed their sales in 100s as 20700

We need to find their actual volume in millions,

According to question,

In 100s, their volume = 2070000

In 100000, their volume is given by

207\times 10^5\\\\=2070000\times 10^5=207\times 10^9

Hence, their actual volume in millions is 207×10⁹.

5 0
3 years ago
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