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
vladimir2022 [97]
3 years ago
11

Columbia Theater Company reviewed their receipts from opening weekend. They sold 83 adult tickets and 42 child tickets on Friday

night, collecting a total of $874. On Saturday night, they collected $1151 from 102 adults and 67 children. If 48 adults and 26 children attended the matinee on Sunday, how much money did the theater collect from ticket sales?
Mathematics
1 answer:
slava [35]3 years ago
5 0

Answer:

If 48 adults and 26 children attended the matinee on Sunday, the theater raised $ 514 from ticket sales.

Step-by-step explanation:

A system of linear equations is a set of linear equations that have more than one unknown, which are related through the equations.

In this case, being:

  • A: adult ticket price
  • C: child ticket price.

The system of equations is:

\left \{ {{83*A+42*C=874} \atop {102*A+67*C=1151}} \right.

The substitution method consists of isolating one of the two unknowns in one equation to replace it in the other equation. In this case you isolate C from the first equation:

83*A + 42*C= 874

42*C= 874 - 83*A

C=\frac{874 - 83*A}{42}

Substituting this expression in the second equation:

102*A + 67*\frac{874 - 83*A}{42}= 1151

and solving:

102*A + \frac{67}{42} *(874 - 83*A)= 1151

Multiply through by 42

42*102*A + 42*\frac{67}{42} *(874 - 83*A)= 42*1151

4,284*A + 67*(874-83*A)= 48,342

4,284*A + 58,558 - 5,561*A= 48,342

4,284*A - 5,561*A= 48,342 - 58,558

-1,277*A= -10,216

A=\frac{-10,216}{-1,277}

A= 8

Knowing that: C=\frac{874 - 83*A}{42} then:

C=\frac{874 - 83*8}{42}

C=\frac{874 - 664}{42}

C=\frac{210}{42}

C= 5

The price of an adult ticket is $8 and a child is $5. If 48 adults and 26 children attended the matinee on Sunday, then:

$8*48 adults + $5* 26 childen= $514

<u><em> If 48 adults and 26 children attended the matinee on Sunday, the theater raised $ 514 from ticket sales.</em></u>

<u><em></em></u>

You might be interested in
Plz help me ASAP!!!!
mixas84 [53]

Answer:

a) Given

b) Given

c) Definition of Supplementary Angles

d) Same-side Interior Angles Theorem

e) Converse of the Same-side Interior Angles Theorem

Step-by-step explanation:

A flow proof is a way of organizing our thoughts and logical deductions about values in a math situation. We make statements and list underneath the reasons these statements are true. Reasons should include math theorems and definitions or any information that is "given" to us in the problem by being written there in it. We can see that a and b were both "given" in the problem.

We can add 40 and 140=180. This is the definition of supplementary angles. We also recognize by their positioning that they are on the same side of the transversal within what appears to be parallel lines. This is Same side interior Anges Theorem. FInally, because this theorem can be applied then the angles must be parallel. This is called the Converse of the Same Side Interioir Angle Theorem


8 0
3 years ago
A car was originally purchased in January 2010 for 27000 dollars. The car depreciates at a rate of 18% every year.
Maksim231197 [3]

Answer:

Number of year(n) = 3.4 year (Approx)

Step-by-step explanation:

Given:

Purchase value of car = $27,000

Depreciation rate per year (d) = 18% = 0.18

Future price = half of its original value = $27,000 / 2 = $13,500

Find:

Number of year(n) = ?

Computation:

Future price  =Purchase value(1-d)^n\\\\13,500=27,000(1-0.18)^n\\\\0.5=(0.82)^n\\\\n=3.444(Approx)

Number of year(n) = 3.4 year (Approx)

5 0
3 years ago
Marking Brainliest!
Black_prince [1.1K]

Area is in square units.

Square the scale factor: 4^2 = 16

The area is 16 times the original area.

6 0
3 years ago
Click and drag the pink tiles to the correct location on the graph organizer.
slavikrds [6]

Answer:

-3: Integer

21: Whole #

0.9: Rational

2 1/2: Rational

3.2: Rational

53: Whole #

-11: Integer

8: Whole #

-6: Integer

3/4: Rational

75: Whole #

-36: Integer

Step-by-step explanation:

See above.

If you can please make my answer the brainliest that would be much appreciated. Thanks and Good Luck! :D

4 0
3 years ago
Which ratio represents Cos B?
andreev551 [17]

Answer:

Cos B represents =b/h

=56/65

8 0
2 years ago
Read 2 more answers
Other questions:
  • Tavon has a gift card for $165 that loses $4 for each 30-day period it is not used. He has another gift card for $145 that loses
    11·1 answer
  • Is 12, 13 or 14 a solution of the inequality 4x&gt;52?
    6·1 answer
  • Given the following formula solve for i <br>P= 2(i+b) <br>​
    9·1 answer
  • Please help AS LEVEL c2 tell me how to work out
    14·1 answer
  • Last Saturday jay spent 6 hours playing games,studying, and talking with friends. He spent 2/5 of the time playing and 1/2 of th
    7·1 answer
  • What is 209 rounded to nearest ten
    15·2 answers
  • How to solve a-2+3=-2
    8·1 answer
  • The position of a swimmer below sea level is represented by –5 meters. The diver descends an additional 3 meters below sea level
    7·2 answers
  • Graph f (x)=2x^2+32x+126
    7·1 answer
  • Rearrange the formula P = 2(L + B) to solve for b.​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!