Answer:
The integers are "closed" under addition, multiplication and subtraction, ... The rational numbers are "closed" under addition, subtraction, and multiplication
Step-by-step explanation:
Answer:
212 children, and 265 adults
Step-by-step explanation:
To find the number of children and adults, we can set up a systems of equations.
x= number of children
y= number of adults
Equation 1: Price
1.50x+2.25y=914.25
Equation 2: Total number of people
x+y=477
Now, let's solve the equation using substitution.
Rearrange the second equation to solve for one variable.
x+y=477
x=477-y
Now plug x equals into the first equation, and solve for y.
1.50x+2.25y=914.25
1.50(477-y)+2.25y=914.25
715.5-1.50y+2.25y=914.25
715.5+0.75y=914.25
0.75y=198.75
y=265
We just solved for the number of adults. Now let's plug y equals into the second equation to find the number of children.
x+y=477
x+265=477
x=212
Given:
The function is:

To find:
The inverse of the given function, then draw the graphs of function and its inverse.
Solution:
We have,

Step 1: Substitute
.

Step 2: Interchange x and y.

Step 3: Isolate variable y.


Step 4: Substitute
.

Therefore, the inverse of the given function is
and the graphs of these functions are shown below.
Answer:
Diameter: 9.5
Radius: 4.75
Step-by-step explanation:
To find the diameter you divide the circumference by pi(3.14) and to find radius you divide the diameter by 2 since the radius is half of the diameter.
Hope this helps you
X + x -30 = 2022x - 30 = 2022x = 232x =116 first game = 116second game = 116 - 30 = 86116 + 86 = 202 second game = 86