Writing proportional equations Problem The Green Goober, a wildly unpopular superhero, mixes 333 liters of yellow paint with 555 liters of blue paint to make 888 liters of special green paint for his costume. Write an equation that relates yyy, the amount of yellow paint in liters, and bbb, the amount of blue paint in liters, needed to make the Green Goober's special green paint.

Answer:

[tex](\pi 4^2 (9))-(\pi 2^2 (9))[/tex]

and

[tex]339.292 cm^3[/tex]

Step-by-step explanation:

This question is simple once you break it down.

Let's concentrate on the outer cylinder.

First, find the volume of the outer cylinder.

The volume of a cylinder is expressed as: [tex]V = \pi r^2 h[/tex]  

Gathering information from the diagram..

d = 8 cm

h = 9 cm

You can get the radius from the diameter by just dividing the diameter by 2.

[tex]r = \frac{8}{2}=4[/tex]

r = 4

Plug everything into the volume equation.

[tex]V = \pi 4^2 (9)[/tex]

Don't solve just yet!

Now, find the volume of the inner cylinder.

Do the exact same thing as you did for the outer cylinder.

d = 4 cm

h = 9 cm

[tex]r = \frac{4}{2}=2[/tex]

r = 2

Plug everything into the volume equation..

[tex]V = \pi 2^2 (9)[/tex]

The question asks for an expression to represent the volume of the large cylinder after the cylindrical hole is removed. This means you need to subtract the volume of the cylindrical hole from the volume for the large cylinder.

Again, the volume for the large cylinder is [tex]V = \pi 4^2 (9)[/tex] and the volume for the cylindrical hole is [tex]V = \pi 2^2 (9)[/tex]

This means..

[tex](\pi 4^2 (9))-(\pi 2^2 (9))[/tex]

That is your answer to the first part of the question.

For the second part, just solve.

[tex](\pi 4^2 (9))-(\pi 2^2 (9))[/tex]

[tex](\pi*16*9)-(\pi*4*9)[/tex]

[tex](\pi*144)-(\pi*36)[/tex]

[tex]144\pi-36\pi[/tex]

[tex]108\pi[/tex]

[tex]339.292[/tex]

Don't forget the units.

[tex]339.292 cm^3[/tex]

Hope this helped you!

Answer:

What ever the other guy said

Step-by-step explanation:

Answer:

600 centimeters. 1 meter is equal to 100 centimeters

Answer:

6

Step-by-step explanation:

You must multiply both sides by a common multiple of all denominators. Usually, the least common multiple, LCM, is used since it is the smallest common multiple and makes calculations easier.

The LCM of 2, 3, and 6 is 6.

Answer: 6

Answer:

It would be hundreds

Step-by-step explanation:

I hope it is right :I

Answer: Informally: When you multiply an integer (a “whole” number, positive, negative or zero) times itself, the resulting product is called a square number, or a perfect square or simply “a square.”

Step-by-step explanation:

So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are all square numbers.

Answer:

=

64 / 7x -2

Step-by-step explanation:

You multiply 16 and 4/7 than you take away 2 I think im bad at this-

Answer:

it's actually 9

Step-by-step explanation:

I tried 6 and it said it was wrong but when I tried 9 it said it was correct

Answer:

The Symmetric Property states that for all real numbers x and y , if x=y , then y=x . Transitive Property. The Transitive Property states that for all real numbers x ,y, and z, if x=y and y=z , then x=z .

Step-by-step explanation: you couldnt have looked it up on ggle?...haha -_-'

Answer:

B

Step-by-step explanation:

Hopes this helps

Answer:

The farthest temperature from zero during the week is 5 °F because it's absolute value, 5, is the highest out of all the other numbers. So its answer B!

Step-by-step explanation:

Answer:

Sides are 3√2

Step-by-step explanation:

45-45-90 triangle shortcut, both sides are the same but needs to make multiply the √2 to make it the hypotenuse.

Answer:

6,120,600

Step-by-step explanation:

Answer:

240

Step-by-step explanation:

360 divided by 3 is 120 so 2 times 120 is 240

Answer:

n + q = 28 0.05n + 0.25q = 4

Answer:

The answer is A :>

Answer:

Step-by-step explanation:

.25 mile in 2 mins

.25(5) miles in 10 min

1.25 mins in 10 mins

There is 5-2 mins in 10 mins. So times by the 5.

Answer:

Its 1.25

Step-by-step explanation:

Answer:

k > 100

Step-by-step explanation:

y= x²+20x+k

if the graph doesn't intersect the x-axis it means it has no real roots so the discriminat has to be negative so will have imaginary roots

discriminant is

b²-4ac = 20²-4*1*k = 400-4k for this to be negative k has to be more then 100 so will have 400 - a number bigger then 400

k > 100 is the solution

Answer:

As the ratio is 5:3, it totals 8 parts. I would do 480 divided by 8 to get the number of pages per part, then multiply that number into the ratio.

480 / 8 = 60

The value of each part being 60 put into the ratio 5:3 = 60x5 : 60x3

Which gives your answer.

Answer:

$15.75

Step-by-step explanation:

30 multiplied by 0.3 is 9. 30-9 is 21. 21 multiplied by 0.25 is 5.25. 21-5.25 is 15.75

Answer:

1/3, 2/6, 3/9, 4/12, 5/15, 6/18, 7/21, 8/24, 9/27, 10/30

Step-by-step explanation:

Answer:

x = -10

General Formulas and Concepts:

Order of Operations: BPEMDAS

Properties

Step-by-step explanation:

Step 1: Define equation

5(x - 6) + 2 = 7x - 8

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

Answer:

[tex]y=2x+7[/tex]

Step-by-step explanation:

Given the equation

[tex]y=-\frac{1}{2}x[/tex]

comparing the equation with the slope-intercept form

[tex]y=mx+b[/tex]

Here,

so the slope of the line is -1/2

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

the slope of the perpendicular line will be: 2

Therefore, the point-slope form of the equation of the perpendicular line that goes through (-2, 3) is:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

substituting the values m = 2 and the point (-2, 3)

[tex]y-3=2\left(x-\left(-2\right)\right)[/tex]

[tex]y-3=2\left(x+2\right)[/tex]

Add 3 to both sides

[tex]y-3+3=2\left(x+2\right)+3[/tex]

[tex]y=2x+7[/tex]

Answer:

The best estimate is -2.64

Step-by-step explanation:

To get the estimate value we are rounding all values to the nearest hundredth

You use BOMDAS/PEMDAS to do this expression

(34/8 - 16/3) - 14/9

= 4.25 - 5.33 - 14/9

= 4.25 - 5.33 - 1.56

= -1.08 - 1.56

= -2.64

Answer:(x-3) (x+3)

Step-by-step explanation:

The equation x^2 - 9 is modeled by placing tiles. The image is attached below.

It is the kind of modeling in which tiles are used to represent products. It provides a visual representation of the multiplication.

To make a model, first, we must factorize the expression.

The given expression is x^2 - 9.

This can be factored as shown below:

x^2 - 9 = (x - 3)(x + 3)

We must now make a horizontal row containing x, -1, -1, and -1.

Similarly, we must make a vertical column containing x, 1, 1, and 1.

Now we must multiply each row and columnn to together and add them together as shown below:

x^2 - x - x - x + x + x + x - 9 = x^2 -9

This is the same as the given expression.

Thus, we have modeled the given expression by placing tiles in the product section.

Learn more about tile modeling here: https://brainly.com/question/26940677

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Answer:

Step-by-step explanation:

The sign should change (flip) when dividing by a negative number.

I hope all is correct. Good luck

Answer:

x>1

Step-by-step explanation:

2x+5<7

subtract 5 from both sides

-2x<2

divide by negative 2 and flip the sign

x>1

HTH :)

Answer:

1. x>-1 D

2. x<-8 A

3. A

4. C

5.A

Step-by-step explanation:

1. -2x+5<7

-2x<2

x>-1

2. 3-(2x-5)<-4(x+2)

3-2x+5<-4x-8

8-2x<-4x-8

16-2x<-4x

16<-2x

(because youre dividing by a negative, the sign flips. this is not a typo)

-8>x

x<-8

3. A

4. C

5. A

Answer:

Write this:

y= -3x + 1

Step-by-step explanation:

Solve the equation:

6x -2y = 32

Subtract 6x from both sides

-2y = -6x +32

divide by negative to on both sides

y = -3x -16

ANSWER:

y = -3x (any number ,negative or positive, except 16)

The slope of the line will be 3.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The equation of parallel line is,

⇒ 6x - 2y = 32

Now,

The slope of two parallel lines are always same.

So, We find the slope of the parallel line.

Since, The standard form of equation line is,

⇒ y = mx + c

Where, m is slope of the line.

So, We can change the equation of parallel line in the standard form.

The equation of parallel line is,

⇒ 6x - 2y = 32

Add 2y both side,

⇒ 6x - 2y + 2y = 32 + 2y

⇒ 6x = 32 + 2y

Subtract 32 both side,

⇒ 6x - 32 = 2y

⇒ 2y = 6x - 32

Divide by 2, we get;

⇒ y = 3x - 16

Compare with y = mx + c, we get;

The slope of the line (m) = 3

Thus, The slope of the line will be 3.

Learn more about the equation of line visit:

https://brainly.com/question/13763238

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Answer:

Let y=x,

y=(x-9)7

(y+9) ÷7=x

f-1(x)=(y+9)÷7

Answer:

side = 14 cm

Step-by-step explanation:

Let 'x' be the side of the square.

Perimeter = 4 * side

                = 4*x

                = 4x

4x = 56

Solution:

4x = 56

Divide both sides by 4

x = 56/4

x = 14 cm