Answer:
![x < 18](https://tex.z-dn.net/?f=x%20%3C%2018)
Step-by-step explanation:
We are given the following information in the question:
"Citizens less than 18 years old are not allowed to vote"
We define a variable x such that x represents the age of citizens.
We have to write a relationship with the help of an inequality for the ages of citizens who are not allowed to vote.
Citizens less than 18 are not allowed to vote.
So x should be less than 18.
This can be written as:
![x < 18](https://tex.z-dn.net/?f=x%20%3C%2018)
is the required inequality for the ages of citizens who are not allowed to vote.
The diameter of the new rubber ball, to the nearest foot, must be D = 4.0 ft (in the case of the maximum cost).
<h3>
How to find the diameter of the ball?</h3>
Remember that for a sphere of diameter D, the surface area is:
A = 4*pi*(D/2)^2
In this case, the cost is $0.02 per square foot, and the company wants to expend (at maximum) $1 per ball, so first we need to solve:
$0.02*A = $1
A = $1/$0.02 = 50
So the surface of the ball must be 50 square feet.
Then we solve:
50ft^2 = 4*3.14*(D/2)^2
D = 2*√(50 ft^2/(4*3.14)) = 4.0 ft
If you want to learn more about spheres, you can read:
brainly.com/question/10171109
Answer:
Nevan won the game.
He scored 183 points.
Explanation:
Correct answer is worth 13/4 points
Incorrect answer is worth -1/4 points.
Number of correct answers = 58
Number of incorrect answers = 22
Point scored ![=58*\frac{13}{4} +22*\frac{-1}{4} =\frac{732}{4} =183](https://tex.z-dn.net/?f=%3D58%2A%5Cfrac%7B13%7D%7B4%7D%20%2B22%2A%5Cfrac%7B-1%7D%7B4%7D%20%3D%5Cfrac%7B732%7D%7B4%7D%20%3D183)
Points need to win = 90 points
Point scored, 183 >Points need to win, 90
So, Nevan won the game.