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shepuryov [24]
2 years ago
9

In order to make green paint a 2:3 ratio of blue paint and yellow paint is used.If there are 30 ounces of green paint how many o

unces of blue paint was needed
Mathematics
1 answer:
gladu [14]2 years ago
6 0

Answer:

There are 30 ounce of green paint 18 ounces blue paint was needed.

Step-by-step explanation:

Given that,

In order to make green paint a 2:3 ratio of blue paint and yellow paint is used.

Assume 2x blue paint and 3x yellow paint required to make 30 ounce of green paint.

According to the problem,

2x+3x=30

⇒5x=30

\Rightarrow x=\frac {30}{5}

⇒ x=6

The amount of blue paint is = 2×6

                                              =12 ounces

The amount yellow paint is = (3×6)

                                            = 18 ounces

There are 30 ounce of green paint 18 ounces blue paint was needed.

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Answer:

y = 2x - 4

Step-by-step explanation:

The equations are put in slope intercept form

Slope intercept form: y = mx + b

Where m = slope and b = y intersect

So in order to find the equation of the data represented by the table we will have to find the slope and y intercept

Let's begin!

First let's find the slope

We can find the slope by using the slope formula

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The points chosen may vary but I have chosen the points (0,-4) and (1,-2)

Now that we have chosen the points we will use to find the slope let's define the variables

remember coordinates are written like this: (x,y)

The x value of the second coordinate is 1 so x2 = 1

The x value of the first coordinate is 0

So x1 = 0

The y value of the second coordinate is -2 so y2 = -2

The y value of the first coordinate is -4

So y1 = -4

Now that we have defined each variable let's plug in the values into the formula

Formula: m = (y2 - y1) / (x2 - x1)

Variables: x2 = 1, x1 = 0, y2 = -2, y1 = -4

Substitute values

m = (-2 - (-4) / ( 1 - 0 )

Evaluate

The negative signs cancel out on top and it changes to +4

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Add top values

m = 2/(1-0)

Subtract bottom numbers

m = 2/1

Simplify fraction

m = 2

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The y intercept is the value of y when x = 0

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Now that we have found everything let's find the equation of the data represented by the table

The equation is in slope intercept form

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Define variables

m = 2 and b = -4

Substitute values

y = 2x - 4

The equation is y = 2x - 4

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2 years ago
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