If a:b =1/2 :1/3 and b:c = 3:4 find a:c

Step-by-step explanation:

I've written the answer and steps to solve the question a piece of paper which is in the attached photo. Hope this helps!

a : c = 9 : 8

Step-by-step explanation:

Expressing the ratios in fractional form , then

= ×

Given a : b = : ( multiply both parts by 6 to clear the fractions )

a : b = 3 : 2 and b : c = 3 : 4 , then

= × = =

That is a : c = 9 : 8

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

step-by-step explanation:

there's the chart