Find the ratio a: b, if 2a−b/6 = b/3 .

If 2a−b/6 = b/3, then ratio a:b = 3 : 2

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

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50