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
belka [17]
3 years ago
13

A total of 165 people attended the opening night of a school play. Adults were charged $6, and children were charged $2. The tot

al amount of money collected was $618. Which augmented matrix represents the situation?
Mathematics
2 answers:
arlik [135]3 years ago
5 0
-------------------------------------------------------------------------
Given Information
-------------------------------------------------------------------------
Total number of people = 165
Adult = $6
Child = $2
Total collected = $618

-------------------------------------------------------------------------
Assumptions 
-------------------------------------------------------------------------
Let x be the number of adults and y be the number of children

-------------------------------------------------------------------------
Form equations
-------------------------------------------------------------------------
Total number of people
x + y = 165
Total amount collected 
6x + 2y = 618

-------------------------------------------------------------------------
Ans: The two equations are x + y = 165 and 6x + 2y = 618
-------------------------------------------------------------------------


The question is not asking for it but if you need to solve the equation to find the answer to x and y

-------------------------------------------------------------------------
Present the two equations and solve for x and y
-------------------------------------------------------------------------
x + y = 165          ------------------------- (eqn 1)
6x + 2y = 618      ------------------------- (eqn 2)

(eqn 1) : 
x + y = 165
x = 165 - y -------------------------  substitute into (eqn 2)

6(165 - y) + 2y = 618
990 - 6y + 2y = 618
4y = 990 - 618
4y = 372
y = 93 -------------------------  substitute into (eqn 1)

x + y = 165
x + 93 = 165
x = 165 - 93
x = 72 

x = 72 and y = 93

-------------------------------------------------------------------------
Ans: 72 adults and 93 children
-------------------------------------------------------------------------
kompoz [17]3 years ago
4 0

Answer:

\begin{bmatrix}1 & 1|165\\ 6 & 2|618\end{bmatrix}

Step-by-step explanation:

A total of 165 people attended the opening night of a school play.

Let there were adults = x  and number of children = y

So x + y = 165 ----------(1)

Now we know adults were charged $6 and children $2.

The total amount collected $618

so  6x + 2y = 618 ----------(2)

Now the augmented matrix for the system of equations will be \begin{bmatrix}1 & 1|165\\ 6 & 2|618\end{bmatrix}

You might be interested in
Marnie had two pages of math homework and four pages of ELA homework. If each page had 14 questions on it, how many questions di
ahrayia [7]

Answer:

84

Step-by-step explanation:

First, there are 6 pages of work. then multiply 6 by the number of questions (14)

6x14=84

4 0
2 years ago
Please help me quick im giving a lot for this!
Lady_Fox [76]

Answer:

The answer is D!!

Step-by-step explanation:

Hope this helps!! ;)

Here is a scary story for all!! Enjoy!!

The Ghost Man

Once upon a time there was a family, made up of two young ones and their parents. One day, the parents had to go out to do something important. They had to call someone to take care of their children, so they called a lady who was friends with them. Then the lady arrived and the parents left. She made sure the kids ate and then she put them on their bed to sleep. Their house had two floors and the kids were on the second floor upstairs.  Then, she went to sit down on the couch and started to watch tv. She was watching tv when suddenly her phone rang, and she answered the phone. It was an unknown number. She answered it and a creepy voice said, “Have you gone to check on the kids?” When she heard that she automatically hung up. A few minutes later she heard it again, “Have you gone to check on the kids?”. She kept on hearing it for a few times until she started to be a little scared. She called the police as quickly as she could. She told the police that a man who was unknown kept calling her and threatening her. Then the police said that when that man calls again, he will try to locate the man that is calling her. Then the man called again and the police were able to locate the man. A few minutes later, the police called again and he said, “Get out of the house right now because the man that is calling you is on the second floor of your house”. Then the lady remembered that the kids were upstairs so she ran upstairs as fast as she could and it was too late, the kids were gone and there was blood all over their room. The kids were never seen again and lots of police men are still going to look out to find this mysterious man who is going out to get every person he sees. So be careful of what you do because you might hear their cries too.    

Hope you like it!! ;)  

5 0
3 years ago
Read 2 more answers
Work out the percentage change to 2 decimal places when a price of £57.99 is decreased to £49.99.
IRISSAK [1]

Answer:

Percentage change in price = 13.80%

Step-by-step explanation:

Given that:

Original price = £57.99

Decreased price = £49.99

Difference = Original price - Decreased price

Difference = 57.99 - 49.99

Difference = £8.00

Percent change = \frac{Difference}{Original\ price}100

Percent change = \frac{8.00}{57.99}*100

Percent change in price = 13.80%

Hence,

Percentage change = 13.80%

5 0
3 years ago
Find all the interior angle measures of triangle ABC, if m∠A = 3x + 10, m∠B = 5x − 1, and m∠C = x. answers: m∠A = 60°, m∠B = 94°
tester [92]

Answer:

Step-by-step explanation:

Total interior angles in a triangle=180 degrees

That is: 3x + 10 + 5x - 1 + x =180

9x+9=180

9x=180-9

9x=171

x=171/9

x=19

Therefore

Angle A =67 degrees

Angle B= 94 degrees

Angle C = 19 degrees

3 0
3 years ago
Answer the question who ever does the best gets brain award (whatever its called)
Tomtit [17]

Answer: The answer is B (or the second one)

6 0
3 years ago
Read 2 more answers
Other questions:
  • Can somebody plz help on this homework?
    14·1 answer
  • A pack of 9 toilet rolls costs £4.23
    6·1 answer
  • The probability density function for random variable W is given as follows: Let x be the 100pth percentile of W and y be the 100
    13·1 answer
  • Which of the following would be the . most logical first step to solving this quadratic equation
    8·2 answers
  • Wee Ling had 5/7m of ribbon she used 1/10 of it to tie a persent what was the length of the ribbon used to tie the present? Give
    8·1 answer
  • Express the following ratio in its simplest form.<br> 4:12
    5·2 answers
  • 20 POINTS
    8·2 answers
  • Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a 15% alcohol solut
    8·1 answer
  • Fill in the blank with the correct response. The slope of the graph of y = -7x is
    9·2 answers
  • Someone help me on 103 pls
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!