If 2a−b/6 = b/3, then ratio a:b = 3 : 2
<h3><u>Solution:</u></h3>
Given that 2a−b/6 = b/3
We have to find the ratio of a:b
In mathematics, a ratio indicates how many times one number contains another
A ratio between two or more quantities is a way of measuring their sizes compared to each other
let us first solve the given expression

On cross multiplication we get,
6a - 3b = 6b
6a = 6b + 3b
6a = 9b

To convert a fraction to a ratio, first write down the numerator, or top number. Second, write a colon. Thirdly, write down the denominator, or bottom number
Therefore ratio a:b = 3 : 2
The negative 2 tells us that the graph has a horizontal shift of 2 units to the right and the plus 5 tells us that the graph has a vertical shift up by 5 units.
Answer:
1 cup of blue paint required 5 cups of yellow paints
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Step-by-step explanation:
Given
2 cups of blue = 10 cups of yellow
Required
Determine the number of cups of yellow for 1 cup of blue paint
The given parameter shows a linear relationship between paints of blue and paints of yellow
We have:
2 cups of blue = 10 cups of yellow
Multiply both sides by 0.5
0.5* 2 cups of blue = 0.5* 10 cups of yellow
1 cup of blue = 5 cups of yellow
Hence;
<em>1 cup of blue paint required 5 cups of yellow paints</em>