Reduce the final answer if needed (or reduce when you multiply). A mixed number should be converted to an improper fraction (heavier on top) before simplifying. Change the numerator and denominator to single fractions<span> by creating a common denominator</span>
Answer: x=100$
Step-by-step explanation:
use the slope formula
y=mx+b
plug in what you have
y=2400, m=22.50x, b=150
solve for x
2400=22.50x+150
subtract 150 from both sides
2250=22.50x
divide 22.50 x from both sides
x=100 people
don't forget your units :)
The answer is B: (-1/4, 1/2)
Using the volume of the spherical balloon, it is found that it will take 24 hours for the balloon to become completely empty.
<h3>What is the volume of a sphere?</h3>
The volume of a sphere of radius r is given by:

Aspherical balloon has a radius of 6 feet, hence the volume is:

It has already lost 20% of it's air, and air is leaking out of the balloon at a rate of 30 cubic feet per minute, hence the volume after t minutes is given by:


It will be completely empty when:





Rounding, it will take 24 hours for the balloon to become completely empty.
More can be learned about the volume of a sphere at brainly.com/question/25608353
We need to simplify this number. We begin by evaluating the numbers inside the equation. We can simplify this to:

Now, we evaluate this one step further. Because a negative exponent makes the number 1 over what it was, we can make this problem:

This becomes:

So, 1/4k is the answer. This is the same as C, so C is the right answer.