Answer:
The monthly cost for 45 minutes is $18.42
Step-by-step explanation:
Let
x -----> the total calling time in minutes
y ----> the monthly cost in dollars
we have the ordered pairs
(42,18.15) and (90,22.47)
step 1
Find the slope
The formula to calculate the slope between two points is equal to
substitute the values
step 2
Find the linear equation in point slope form
we have
substitute
step 3
Find the monthly cost for 45 minutes of calls
For x=45 min
substitute the value of x in the linear equation and solve for y
therefore
The monthly cost for 45 minutes is $18.42
Answer:
A= 27500 seats, B= 14200 seats, C= 13300 seats
Step-by-step explanation:
a=b+c
a+b+c=55000 seats
30a+24b+18c=1405200 dollars
substitue a for b+c
b+c+b+c=55000
30(b+c)+24b+18c=1405200
seats 2b+2c=55000 --> divide by 2 on both sides b+c=27500 --> c=27500-b
dollars 30b+30c+24b+18c=1405200 --> 54b+48c=1405200 divide by 6 --> 9b+8c=234200
substitute c for 13750-b
9b+8(27500-b)=234200
9b+220000-8b=234,200
b=14,200 seats
c=27500-b=27500-14200=13300 seats
a=55000-b-c=55000-27500=27500 seats
The volume of the cone that has a radius of 8 in. and a height of 10.5 in. is: 703.7 in.³
<h3>What is the Volume of a Cone?</h3>
Volume = 1/3πr²h
Given the parameters:
- Height (h) = 10.5 in.
- Radius (r) = 8 in.
Volume of the cone = 1/3πr²h = 1/3π(8²)(10.5)
Volume of the cone = 1/3π(64)(10.5)
Volume of the cone = 703.7 in.³
Learn more about volume of a cone on:
brainly.com/question/13677400
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Answer:
A
Step-by-step explanation:
A graph that represents a proportional relationship usually has the line cutting through the line of origin (0, 0).
The graph in option A does not have the line passing through the point of origin (0, 0), therefore, it does not represent a proportional relationship.
For an equation that represents a proportional relationship, it is written in the form of y = kx
Where, k is the constant of proportionality.
Therefore, the two equations given represents a proportional relationship.
