If it takes 9 3/4 yards of material to make curtains for 3 windows, how much material is needed?

Step-by-step explanation:

This is a rate problem, so we will write rate as a proportion and write the desired rate with x for the unknown value we need to find.

9.75/3 = x/1

Cross-mulitply

3x = 9.75

Divide by 3

x = 3.25 or 3 1/4

Another great thing with proportions is that we can check them to ensure we got the correct answer. All we do is substitute our determined value in for x

9.75/3 = 3.25/1

9.75 = 9.75 ✅

The answer of x = 3 1/4 is correct.

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )

60: 45 =12: 9 =4: 3 so the answer is 4: 3