Answer:
The final price is $ 22.68 And Proportional constant is 1.4
Step-by-step explanation:
Given as :
The Original price = $ 16.20
The rate of increase = 40%
Let The final price = x
Now,
Final price after increase = initial price × ( 1 + 
Or. Final price after increase = $ 16.20 × ( 1 + 
Or, Final price after increase = $ 16.20 × ( 1.4 )
∴ Final price after increase = $ 22.68
Now , Proportional constant = 
I.e Proportional constant = 1.4
Hence The final price is $ 22.68 And Proportional constant is 1.4 Answer
Answer:
It will take Josie 80 minutes to run 10 miles.
Step-by-step explanation:
We can set up a proportion between the number of minutes she runs to the number of miles she runs. From what we know in the equation, we know that it takes her 24 minutes to run 3 miles, and it takes x minutes to run 10 miles. We can represent this in a proportion!
We know that the ratio of 24:3 will be the same for any number of miles, so we can say
We can solve this by first simplifying the left hand side then isolation x by multiple both sides of the equation by 10.
24/3 = 8
8 = 
80 = x
It will take Josie 80 minutes to run 10 miles.
The possible value of the third length is an illustration of Triangle inequality theorem
The possible third lengths are 4 units and 6 units
<h3>How to determine the possible length of the third side?</h3>
To determine the third length, we make use of the following Triangle inequality theorem.
a + b > c
Let the third side be x.
So, we have:
x + 6 > 3
x + 3 > 6
3 + 6 > x
Solve the inequalities
x > -3
x > 3
x < 9
Remove the negative inequality value.
So, we have:
x > 3 or x < 9
Rewrite as:
3 < x or x < 9
Combine the inequality
3 < x < 9
This means that the possible value of the third length is between 3 and 9 (exclusive)
Hence, the possible third lengths are 4 units and 6 units
Read more about Triangle inequality theorem at:
brainly.com/question/2403556
Answer:
A) the domain is the x
Step-by-step explanation:
Answer:
area = 6.5 square units
Step-by-step explanation:
Use the <em>area of a triangle in coordinate geometry</em> formula:

where 



