Answer:
x= 42
y= 23
Step-by-step explanation:
Set up a system of equations like this:
(4y-9)=(3x-43)
(2x+13)=(4y+5)
when two lines cross like this they form vertical angles, and vertical angles are always equal.
calculate the system of equations and you'll get x=42 and y=23
To find the measure of any of the angles just put x or y into the equation.
The minimum and maximum amounts that the artist received for her products are 278 and 322
<h3>Part A: Define a variable and write an
absolute value equation to represent the scenario.</h3>
Let the number of prints remaining be x.
The given parameters are:
Total = 300
Amount = 22 within her goal
So, we have the following absolute value equation
|x - 300| = 22
<h3>Part B: Solve the equation, showing all steps.</h3>
In (a), we have:
|x - 300| = 22
Remove the absolute bracket
x - 300 = 22 and x - 300 = -22
Add 300 to both sides
x = 322 and x = 278
<h3>Part C: What are the minimum and maximum amounts that the artist received for her products?</h3>
The minimum and maximum amounts that the artist received for her products are 278 and 322
Read more about absolute value equation at
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Answer: 1527
Step-by-step explanation:
Total Area = 7500 ft^2
Area covered by one student = Area of one circle
= π*r^2
r = radius of circle = 2.5/2 = 1.25 ft
Area covered by one student = π*1.25^2 = 4.91 ft^2
Number of students who can fit into total area = Total Area/Area covered by one student
Number of students who can fit into total area = 7500/4.91 = 1527.49
Hence the answer is 1527 students
Let h(t)= 0 (because when it reaches the ground h=0)
0=-16t^2+116
16t^2=116
divide both sides by 16
t^2= 7.25
square root both sides to find t
t=2.69sec
