Answer:

Step-by-step explanation:
The income of the amusement park is a function of the price of the ticket
The entry price that will result in no income is $24
<h3>How to determine the entry price that results in no income</h3>
The expression for the income is given as:

When the income is 0, we have the following equation

Factor out 4x

Split the equation
4x = 0 or 24 - x = 0
Solve for x
x = 0 or x = 24
This means that, the entry price that will result in no income is $24
Read more about income and expenses at:
brainly.com/question/13628349
Answer:
20 builders
Step-by-step explanation:
First, write an equation system based on the problem
An equation for "the perimeter of a rectangle is 70 in" can be written as following
∴ 2l + 2w = 70 <em>(first equation)</em>
An equation for "the length is 11 in more than its width" can be written as following
∴ l = w + 11 <em>(second equation)</em>
Second, solve the equation by substitution method o find the dimension of the rectangle.
Substitute/plug l as (w+11) into the first equation
2l + 2w = 70
2(w + 11) + 2w = 70
2w + 22 + 2w = 70
4w + 22 = 70
4w = 70 - 22
4w = 48
w = 48/4
w = 12
The width of the rectangle is 12 in
Substitute w with 12 to the second equation
l = w + 11
l = 12 + 11
l = 23
The length of the rectangle is 23 in
Third, find the area of the rectangle
a = l × w
a = 23 × 12
a = 276
The area of the rectangle is 276 in²