1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Zanzabum
2 years ago
12

A movie theater sold 4 adult tickets and 7 children's tickets for $83 on friday the next day the theater sold 5 adult tickets an

d 6 children tickets for $90. What is the price for the adult ticket and the price for a child's ticket
Mathematics
1 answer:
Sergio039 [100]2 years ago
3 0

Answer: An adult ticket cost $12

A child ticket cost $5

Step-by-step explanation:

Let x represent the price for one adult ticket.

Let y represent the price for one child ticket.

A movie theater sold 4 adult tickets and 7 children's tickets for $83 on Friday. It means that

4x + 7y = 83 - - - - - - - - - - - -1

The next day the theater sold 5 adult tickets and 6 children tickets for $90. It means that

5x + 6y = 90 - - - - - - - - - - - -2

Multiplying equation 1 by 5 and equation 2 by 4, it becomes

20x + 35y = 415

20x + 24y = 360

Subtracting, it becomes

11y = 55

y = 55/11 = 5

Substituting y = 5 into equation 1, it becomes

4x + 7 × 5 = 83

4x + 35 = 83

4x = 83 - 35 = 48

x = 48/4 = 12

You might be interested in
Which logarithmic equation is equivalent to the exponential below ? e^5x=6
Aneli [31]

\bf \textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b~\hfill e^{5x}=6\implies \log_e(6)=5x

3 0
3 years ago
There are 5 more than twice as many students taking Algebra 1 than taking Algebra 2. If there are 44 students taking Algebra 2,
natima [27]

Answer: 54

Step-by-step explanation:

6 0
2 years ago
56000009x434383985934863
Orlov [11]

Answer:

2.43255071E22

Rounding to the nearest tenth: 2.4

Nearest hundredth: 2.43

Step-by-step explanation:

Hope I helped! :)

6 0
2 years ago
Read 2 more answers
Please help fast....
Doss [256]

Answer:

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
The function Ald) = 0.45d + 180 models the amount A, in dollars, that Terry's company pays him based on
Solnce55 [7]

Answer: Choice A) $0.45

================================

Explanation:

Plug in d = 0 and you'll have A(d) = 0.45d+180 turn into A(0) = 180. This says that Terry is paid $180 even if he doesnt travel a single mile.

Now plug in d = 1. You should get A(1) = 180.45 as the result.

Subtract the results: 180.45 - 180 = 0.45

He has earned 45 cents or 0.45 dollars for traveling one mile

----------

A shortcut is to notice that the slope of the line is 0.45

It might help to view A(d) = 0.45d+180 as y = 0.45x+180. We see that the equation is in slope intercept form y = mx+b

m = slope = 0.45 tells us how much additional dollars Terry earns for each additional mile traveled

b = 180 = y intercept = starting amount of money Terry is paid, this amount does not change based on how many miles he travels.

7 0
3 years ago
Other questions:
  • I completed 2/3 of my project last month and 1/4 of it this week​
    13·2 answers
  • Please simplify this
    12·1 answer
  • Find the slope of the line that contains the points (6,-3) and (6,5)
    5·2 answers
  • How do you do 51 and 54?
    9·1 answer
  • The point slope form of a line that has a slope of 2/3 and passes through point (6,0) is shown below.
    11·2 answers
  • Nyomi wants to find the decimal equivalent of 29/9, so she divides. Study Nyomi’s work shown here, and then answer the questions
    15·2 answers
  • Which features are present in this polar graph?
    10·2 answers
  • Write the exponential function for each table of values. Remember the function y = a(b)*
    6·1 answer
  • I NEED THE ANSWERS PLZ
    5·2 answers
  • Sweet T is making a double batch of cupcakes. He puts them in the oven at 6:50 that needs to bake for 25 minutes. When should sw
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!