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
algol [13]
2 years ago
8

The cost of attending an amusement park is $10 for children and $20 for adults. On a particular day, the attendance at the amuse

ment park is 30,000 attendees, and the total money earned by the park is $500,000. Use the matrix equation to determine how many children attended the park that day. Use the given matrix equation to solve for the number of children’s tickets sold. Explain the steps that you took to solve this problem.

Mathematics
1 answer:
Lapatulllka [165]2 years ago
8 0

Using a system of equations, it is found that 10,000 children attended the park that day.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable c: Number of children in the park.
  • Variable a: Number of adults in the park.

The attendance at the amusement park is 30,000 attendees, hence:

c + a = 30,000, which is the first equation in matrix form.

Then:

a = 30,000 - c

The cost of attending an amusement park is $10 for children and $20 for adults. The total money earned by the park is $500,000, hence:

10c + 20a = 500,000, which is the second equation in matrix form.

Since a = 30,000 - c, we replace:

10c + 20a = 500,000

10c + 20(30000 - c) = 500,000

10c = 100,000

c = 10,000.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

You might be interested in
Combine the like terms to make a simpler expression: 5k (-2k)-(-1)
TiliK225 [7]
Hey there, Lets solve this problem together. 

Our first step will be to g<span>ather like terms 

</span>5*-2k*k+1 
<span>
 Simplify 5×−2k×k to −5×2k×k

</span>-5*2k*k+1 

Simplify <span><span>5×2k×k</span></span><span> to </span><span><span>10<span>k^2 

</span></span></span>-10k^2+1 <span><span><span>
</span></span></span>
7 0
3 years ago
Read 2 more answers
A square is always a rectangle but a rectangle is not always a square. Which of the following characteristics are shared by a sq
german
A.) Bisecting Diagonals 
B.) Four right angles 
D.) Two pair of opposite parallel sides
E.) Two pair of opposite congruent sides

Hope this helps!
7 0
3 years ago
Read 2 more answers
Consider a polynomial p(x) with a degree of 9. What is the largest possible number of x-intercepts and the largest possible numb
tia_tia [17]

Answer:

The largest possible number of x intercept is 9 while the largest possible number of relative max/min is 8

Step-by-step explanation:

For any polynomial of degree n with distinct and real solutions, it can have at most n different x intercepts. This would imply it can have at most 9 distinct real solutions.

It can also have at most n-1 relative max/min in alternating order. This is best illustrated when such polynomial is sketched on a graph.

For example a quadratic expression is a polynomial of degree 2 and has at most 2 distinct solutions and 1 relative max/min.

In this question, for the polynomial, its degree (n) = 9

So it can have at most 9 x intercepts and at most 8 relative max/min.

3 0
3 years ago
Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
Lynna [10]

Answer:

would multiply everything by the common denominator of 4

-3/4m - 1/2 = 2 + 1/4m....multiply everything by 4 and u get :

-3m - 2 = 8 + m

that will get rid of the fractions....but u could multiply by -4 ...giving u :

3m + 2 = -8 - m

Step-by-step explanation:

7 0
2 years ago
??????????????????????????????
Greeley [361]

\large\displaystyle\text{$\begin{gathered}\sf \frac{2x-20}{3}=2x  \end{gathered}$}

Multiply both sides of the equation by 3.

\large\displaystyle\text{$\begin{gathered}\sf 2x-20=6x \end{gathered}$}

Subtract 6x on both sides.

\large\displaystyle\text{$\begin{gathered}\sf 2x-20-6x=0 \end{gathered}$}

Combine 2x and −6x to get −4x.

\large\displaystyle\text{$\begin{gathered}\sf -4x-20=0 \end{gathered}$}

Add 20 to both sides. Any value plus zero results in its same value.

\large\displaystyle\text{$\begin{gathered}\sf -4x=20 \end{gathered}$}

Divide both sides by −4.

\large\displaystyle\text{$\begin{gathered}\sf x=\frac{20}{-4}  \end{gathered}$}

Divide 20 by −4 to get −5.

\large\displaystyle\text{$\begin{gathered}\sf x=-5 \ \ \to \ \ \ Answer \end{gathered}$}

<h2>{ Pisces04 }</h2>
5 0
1 year ago
Read 2 more answers
Other questions:
  • Brent’s after-school game club has 12 members from which a six-member team is created. Miguel’s after-school sports club has 10
    15·2 answers
  • The length of a rectangle is 1 ft less than 3 times the width. The area is 310 ft^2. Find the dimensions of the rectangle.
    7·1 answer
  • Identify the correct two-column proof. PLEASE HELP ASAP!! I need to raise my geometry grade!!
    5·1 answer
  • Let's consider a jar consists of 20 marbles. 12 are red and 8 are green. John picked 2 marbles at random. What is the probabilit
    10·1 answer
  • What is the answer to this 10(9+6)x2
    10·2 answers
  • PLEASE HELP ME THANK YOU
    10·1 answer
  • A convenience store sells two brands of orange juice. Brand A contains 8 fluid ounces and costs $1.28. Brand B contains 12 fluid
    13·1 answer
  • Write the percentage shown in the model
    6·1 answer
  • Help on math please!!!!! Will mark brainliest
    10·2 answers
  • Can you Factorise 22 + 10x
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!