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
xxMikexx [17]
2 years ago
13

A Community theater sold 63 tickets to the afternon fora total of 444 birr, an adult ticket Cost 8 birr achild ticket cost 4 bir

, and a senior ticket cost 6 birr. If twice as many tickets were sold to adults as to Children and seniors combined how many of each tick were sold ? ( Use Gaussian elimination method)
Mathematics
1 answer:
melisa1 [442]2 years ago
8 0

The number of tickets sold are:

  • 30 children tickets were sold
  • 33 adult tickets were sold

<h3>How to determine the number of tickets sold to children and seniors?</h3>

From the question, we have the following parameters:

Number of tickets = 63

Total amount = 444 Birr

Adult ticket = 8 Birr per adult

Children ticket = 6 Birr per adult

Represent the children tickets with x and adults ticket with y.

So, we have the following system of equations

x + y = 63

6x + 8y = 444

Express the equations as a matrix

x      y

1       1       63

6      8       444

Apply the following transformation

R2 = R2 - 6R1

This gives

x      y

1       1       63

0      2       66

Apply the following transformation

R2 = 1/2R2

x      y

1       1       63

0      1       33

From the above matrix, we have the following system of equations

x + y = 63

y = 33

Substitute y = 33 in x + y = 63

x + 33 = 63

Subtract 33 from both sides of the above equation

x = 30

Hence, 30 children tickets were sold and 33 adult tickets were sold

Read more about Gaussian elimination method at:

brainly.com/question/14529256

#SPJ1

You might be interested in
What does x equal in 12x+6=78
AysviL [449]

Answer:

x=6

Step-by-step explanation:

12x+6=78

or, 12x=72

or, x=72/12

or x= 6

4 0
4 years ago
Read 2 more answers
What would the answer be to these questions. Put it in order please
miv72 [106K]

4)C

5)A

6)D

7)-4/3x-1(use formula y=mx+b, m is slope, x and y is the x and y of the one point that is given, b is y-intercept)

8)B

***Slope is the number multiplied with the x and y-intercept is the last number. It's obvious

8 0
4 years ago
What is the common ratio in the sequence 6,12,24,48,96<br> A -2<br> B 2<br> C 6<br> D 1/2
anyanavicka [17]

The ratio is that of one term to the one before:

... 12/6 = 2

It is "common" because it applies to every pair of adjacent terms:

... 24/12 = 48/24 = 96/48 = 2

The appropriate choice is ...

... B 2

3 0
3 years ago
What is the solution of -8/2y-8=5/y+4-7y+8/y^2-16 <br> y = –4 <br> y = –2 <br> y = 4 <br> y = 6
maria [59]
(-8)/(2y-8)=(5/(y+4))-7y+(8/(y^2-16))
(-4)/(y-4)=(5/(y+4))-7y+(8/(y+4)(y-4))
((-4)(y+4))/((y+4)(y-4))=((5(y-4))/(y+4)(y-4))-(7y(y+4)(y-4))/(y+4)(y-4))+(8/(y+4)(y-4))
(-4(y+4))=(5(y-4))-(7y(y+4)(y-4))+8
-4y-16=5y-20-(7y(y^2-16))+8
-4y-16=5y-20-7y^3+112y+8
-4y-16=117y-7y^3-12
-4=(121-7y^2)(y)
None of these choices would be equal to -4

4 0
3 years ago
Read 2 more answers
A world record was set for the men’s 100-m dash in the 2008 Olympic Games in Beijing by Usain Bolt of Jamaica. Bolt "coasted" ac
Andrei [34K]

Answer:

a) v = 12.21m/s

a = 4.07 m/s²

b)v = 11.24m/s

a =  3.75 m/s²

Step-by-step explanation:

a) Dividing the moviment into two parts:

I - With acceleration

v = v₀ + at

s = s₀ + v₀t + at²/2

  • v₀ = 0
  • s₀ = 0
  • a = ?
  • v = ?
  • t = 3s
  • s = x

v = v₀ + at

v = 3a ⇒ a = v/3

s = s₀ + v₀t + at²/2

x = v/3.3²/2

x = 3v/2

II - Uniform

s = s₀ + vt

s = 100

s₀ = x

v = v

t = 9.69 - 3 = 6.69s

s = s₀ + vt

100 = x + v*6.69

100 = x + 6.69v

As x = 3v/2

100 = 3v/2 + 6.69v

100 = 1.5v + 6.69v

100 = 8.19v

v = 12.21m/s

a = v/3 = 4.07 m/s²

b) Dividing the moviment into two parts:

I - With acceleration

v = v₀ + at

s = s₀ + v₀t + at²/2

  • v₀ = 0
  • s₀ = 0
  • a = ?
  • v = ?
  • t = 3s
  • s = x

v = v₀ + at

v = 3a ⇒ a = v/3

s = s₀ + v₀t + at²/2

x = v/3.3²/2

x = 3v/2

II - Uniform

s = s₀ + vt

s = 200

s₀ = x

v = v

t = 19.30 - 3 = 16.30s

s = s₀ + vt

200 = x + v*16.3

100 = x + 16.3v

As x = 3v/2

200 = 3v/2 + 16.3v

200 = 1.5v + 16.3v

200 = 17.8v

v = 11.24m/s

a = v/3 = 3.75 m/s²

8 0
3 years ago
Other questions:
  • 50p thanks to whoever helps :)
    5·1 answer
  • Combing like terms<br>needs ASAP​
    8·2 answers
  • Can u please give me an answer best gets the brainliest
    13·1 answer
  • Solve for x. 2/5x=6/5 <br><br><br> A. 12/25 <br><br> B. 12/5<br><br> C. 3<br><br> D. 6
    12·1 answer
  • The radius of a circle is 2 units. what is the circumstances?
    15·1 answer
  • What expression is equivalent to 2(a+2b)-a-2b
    7·1 answer
  • Please please help me on this i will be your friend and message you also
    15·1 answer
  • What is the degree of vertex F
    8·1 answer
  • Wwiwwiwiwiwieqwertuttuyiueip
    6·2 answers
  • 5) Find the value of x (pic below
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!