answer.
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]
2 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]2 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]2 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
I need to know how to solve part b please!
Margaret [11]

Xavier spent $84 on supplies (so this is an expense we will make only once), and then he will spend one more dollar for each canvas. So, his total expense for p paintings will be

84+p

Similarly, he will get 8 dollars for each painting, so he will earn

8p

dollars if he will sell p paintings.

In order to break even, earnings and costs must be equal:

84+p=8p

Subtract p from both sides:

84=7p

Divide both sides by 7:

12=p

So, he has to sell at least 12 paintings to break even.

3 0
2 years ago
Write the number that can be shown with this many hundreds tens and ones 1 2 18
NISA [10]
Maybe is 2181 the biggest 
6 0
2 years ago
A child’s wading pool is 3.8 feet wide, 5.5 feet long, and 1.2 feet deep. How many gallons of water will the pool hold? ( Use 1
vichka [17]
First, we find the volume of the pool. 

3.8*5.5*1.2= 25.08.

Then we convert the feet into gallons.
25.08*7.5 = 188.1

The pool will hold 188.1 gallons of water.
3 0
1 year ago
The volume of a rectangular prism is given by the expression10x3 + 46x2 – 21x – 27. The area of the base of the prism is given b
kondor19780726 [428]
H = V / B
<span>= 10x3 + 46x2 – 21x – 27 /  2x^2 + 8x - 9
</span>= 5x + 3
8 0
2 years ago
Read 2 more answers
Blue's Berry Farm charges Percy a total of
kaheart [24]

Answer:

The price for each kilogram of strawberries is $7.50

Step-by-step explanation:

<u><em>The question is</em></u>

Blues berry farm charges Percy a total of $24.75 for entrance and 2.5 kilograms of strawberries. The entrance fee is $6 and the price for each kilogram of strawberries is constant

Determine the price for each kilogram of strawberries

Let

x ----> the price for each kilogram of strawberries

we know that

The entrance fee plus the price of each kilogram of strawberries multiplied by the number of kilogram of strawberries must be equal to $24.75

so

The linear equation that represent this situation is

2.5x+6=24.75

solve for x

subtract 6 both sides

2.5x=24.75-6\\2.5x=18.75

divide by 2.5 both sides

x=\$7.50

therefore

The price for each kilogram of strawberries is $7.50

8 0
2 years ago
Other questions:
  • Find the vertex, focus, directrix, and focal width of the parabola. <br><br> x2 = 20y
    13·2 answers
  • An airline has 83% of its flights depart on schedule. It has 68% of its flight depart and arrive on schedule. Find the probabili
    8·2 answers
  • The perimeter of a rectangle is 80x. The base is two times the height. In terms of x, what are the dimensions of the rectangle?
    12·2 answers
  • Find the correct sum of each geometric sequence.
    7·2 answers
  • Jan has 35 teaspoons of chocolate cocoa mix and 45 teaspoons of french vanilla cocoa mix. She wants tomput the same amount of mi
    6·1 answer
  • 1. Find an odd natural number x such that LCM (x, 40)= 1400
    13·1 answer
  • Let X denote the courtship time for a randomly selected female-male pair of mating scorpion flies (time from the beginning of in
    15·1 answer
  • A town's chamber of commerce printed a map of the buisiness district. The map is 12 inches square, and 1 inch on the map represe
    5·1 answer
  • What are the coordinates of the centroid of a triangle with vertices at D (0,0), E(-8,
    12·1 answer
  • In a stationery​ design, the number of ovals is proportional to the number of squares. How many squares will there be when there
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!