Answer:
5x-y-36=0
Step-by-step explanation:
y+4=5x-40
5x-y=36
Answer: The price for one adult ticket is $10 and the price for one child ticket is $7.
Step-by-step explanation:
<h3>
The correct exercise is: "At a movie theater, the price of 2 adult tickets and 4 children tickets is 48$. The price of 5 adult tickets and 2 child tickets is 64$. What is the price for one adult and one child?"</h3>
Let be "a" the price (in dollars) for one adult ticket and "c" the price (in dollars) for one child ticket.
Set up a System of equations with the data given in the exercise:
You can use the Elimination method to solve the System of equations:
1. Multiply the second equation by -2.
2. Add the equations.
3. Solve for "a".
Then:
4. Substitute the value of "a" into any original equation.
5. Solve for "c":
Well, since the actual size is 900 times as large as the size in blueprint, this would probably be division. If I'm right, you would first do 900 divide by 4 would equal to 225. so the actual size of the dining room is 225.
I hope this helps...
Answer:
C) 52 in^3
Step-by-step explanation:
The first is to determine the formula of the volume of the box, which would be the following:
V = height * length * width
Knowing that we have a rectangular piece we will determine the maximum volume, we will double a distance x (which will be the height) in the width and length of the piece, therefore as it is on both sides, the length and width are defined from the Following way:
length = 10 - 2 * x
width = 8 - 2 * x
height = x
Now we calculate the volume:
V = x * (10-2 * x) * (8-2 * x)
To determine the maximum volume we will give values to x in order to see how it behaves:
Let x = 2.5
V = (5) * (3) * (2.5) = 37.5
Let x = 2
V = (6) * (4) * (2) = 48
Let x = 1.5
V = (7) * (5) * (1.5) = 52.5
Let x = 1
V = (8) * (6) * (1) = 48
Let x = 0.5
V = (9) * (7) * (0.5) = 31.5
It can be seen that the greatest volume is obtained when the height is equal to 1.5 and its volume is 52.5 in ^ 3
Answer:
1) Square Pyramid
2) Triangle Pyramid
Step-by-step explanation:
A square pyramid is a pyramid with a square base. It is a pentahedron.
A triangular pyramid is a pyramid having a triangular base. The tetrahedron is a triangular pyramid having congruent equilateral triangles for each of its faces.
Thank you.
