a local theme park found that if the price of admission was $12 per person. the attendance was 2200. when the price of admission was lowered to $10, the attendance rose 3000 for the week. write the linear equation for admission in terms of price. use x for the independent variable and y for the dependent variable. write answer in slope intercept form with no spaces

Answers

Answer 1
Answer: A linear equation in slope-intercept form from two points is given by (y - y1)/(x - x1) = (y2 - y1)/(x2 - x1).

Here, y1 = 2200, x1 = 12, y2 = 3000 and x2 = 10, then

(y - 2200)/(x - 12) = (3000 - 2200)/(10 - 12)
(y - 2200)/(x - 12) = 800/-2 = -400
y - 2200 = -400(x - 12)
y = -400x + 4800 + 2200
y=-400x+7000



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Answer:

Step-by-step explanation:

1) S

2) Line

3) Point

4) All coplanar points equidistant from a given point

5) 3rd one or C

Answer:

1. S

2. Line

I'm not sure about the rest...sorry

Step-by-step explanation:

Help me on this I don't understand it​

Answers

Answer:

  B has the greatest range for a given amount of fuel

Step-by-step explanation:

In the US, fuel efficiency is measured in terms of miles per gallon. This value is found by dividing the number of miles traveled by the corresponding number of gallons used.

When calculations are repetitive, it is often useful to use a spreadsheet to do them. You can enter the formula once, and have it operate on all the different data sets. Here, the formula divides the number in the miles column (range) by the number on the same row in the gallons column (fuel).

We find the greatest miles per gallon (best efficiency) is given by Option B.

__

Additional comment

Many places in the world measure fuel efficiency by the amount of fuel required to deliver a certain outcome. In this problem, that would be expressed as gallons per some number of miles, perhaps 100 miles. Using that measure, a lower value indicates better performance.

What is the first step when inscribing a square, equilateral triangle, or hexagon in a circle?Connect the endpoints of the diameters to form a square.

Draw an arc that intersects the circle at two points.

Draw a circle around a diameter.

Connect all six points on the circle.

Answers

The first step when inscribing a square, equilateral triangle, or hexagon in a circle is:

Draw a circle around a diameter.

The diameter is the line found in the center of the circle. So, the diameter is the line found between two equal semi-circle. 

Answer:

C. Draw a circle around a diameter.

Step-by-step explanation:

The first step when inscribing a square, equilateral triangle, or hexagon in a circle - Draw a circle around a diameter.

Depending on various constructions, Step 2 here will be - Draw an arc that intersects the circle at two points.

Next will be - Connect the endpoints of the diameters to form a square or Connect all six points on the circle.

Victor borrowed money at 5.25 percent simple annual interest. At the end of the year, the interest on the loan is $255.94. What was the amount of the loan?

Answers

You can write it as an algebraic equation:

p x 5.25% x 1 = 255.94
p x 0.0525 x 1 = 255.94
p x 0.0525 = 255.94
p x 0.0525/0.0525 = 255.94/0.0525
p = 4875.04

What two numbers add to 10 and multiply to -192? How do you find it?I know I already asked this but I wasn't able to find the numbers. Please help me.

Answers

There is a way to do this algebraically using equations, but it is really messy so I am going to go over the way to do it. The way you do this is by finding whole numbers that multiply to make -192. Start with 1 and 192, 2 and 96, 3 and 64, etc and make the smaller number negative. 
The reason why you make the smaller number negative is because we are looking for what numbers add together to make a positive number (10). If the bigger number was negative, then we would get a negative sum. 
From what i could find, there aren't any whole numbers that satisfy this, and i doubt that the question would want you to find decimals for this. 

The way to find this with equations (in short) is to have to variables, x and y, and make two equations. in this case x+y=10 and xy=-192. Solve one equation for a variable and then use substitution to plug that variable into the other equation. if you do this you get really long decimals.

A cone has a volume of 5 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?15 in3
20 in3
25 in3
30 in3

Answers

The answer is 15 in³.

The volume of the cone is:
V_1= \pi r_1 ^(2) (h_1)/(3) = ( \pi r_1^(2) h_1)/(3)
where:
V₁ - the volume of the cone
r₁ - the radius of the cone
h₁ - the height of the cone

The volume of the cylinder is:
V_2= \pi r_2h_2^(2)
where:
V₂ - the volume of the cone
r₂ - the radius of the cone
h₂ - the height of the cone

Since the cone fits exactly inside of the cylinder, they have the same radius and the height:
r
₁ = r₂
h₁ = h₂

Also:
V₁ = 5

Now, let's write two volume formulas together:
V_1= ( \pi r^(2) h)/(3)
V_2= \pi rh^(2)

We can include V₂ into V₁:
V_1= (V_2)/(3)

⇒ V_2=3*V_1
V_2=3*5 in^(3)
V_2=15 in^(3)