Giovanni purchased 20 adult tickets and 5 child's tickets.
Step-by-step explanation:
Let,
x = Adult tickets
y = Child's tickets
According to given statement;
x+y=25 Eqn 1
One adult ticket costs $14 and one child ticket costs $8, therefore,
14x+8y=320 Eqn 2

Putting value of x in Eqn 1;

Giovanni purchased 20 adult tickets and 5 child's tickets.
Keywords: Linear equations, Addition
Learn more about linear equations at:
#LearnwithBrainly
Answer:
y=-x-5
Step-by-step explanation:
Slope is the x, since slope is equal to -1, x=-1. For the y intercept you simply add or subtract the number given to you, since it is -5 you would add a -5 to the end of the equation
The value of function on x=1 is 0.5
Step-by-step explanation:
In order to find the value of a function on given input, the input is put at the place of variable in the function.
Given function is:

We have to find the value of function on x = 1
Putting x = 1 in function

Hence,
The value of function on x=1 is 0.5
Keywords: Functions variables
Learn more about functions at:
LearnwithBrainly
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:
∠ 4 = 80°
Step-by-step explanation:
∠ 5 and 100° are vertical angles and are congruent , so
∠ 5 = 100°
∠ 4 and ∠ 5 are same- side interior angles and sum to 180° , that is
∠ 4 + ∠ 5 = 180°
∠ 4 + 100° = 180° ( subtract 100° from both sides )
∠ 4 = 80°