1) 4 1/9x = 72 First, convert the mixed number to an improper fraction: 4 1/9x = 37/9x Now, multiply both sides by 9 to isolate x: 37x = 72 * 9 37x = 648 x = 648 / 37 x ≈ 17.51
2) 3 2/11x = 35 Convert the mixed number to an improper fraction: 3 2/11x = 35/11x Now, multiply both sides by 11 to isolate x: 35x = 35 * 11 35x = 385 x = 385 / 35 x ≈ 11
Therefore, the solutions to the equations are x ≈ 17.51 and x ≈ 11.
To solve the equations:
1) 4 1/9x = 72
First, convert the mixed number to an improper fraction:
4 1/9x = 37/9x
Now, multiply both sides by 9 to isolate x:
37x = 72 * 9
37x = 648
x = 648 / 37
x ≈ 17.51
2) 3 2/11x = 35
Convert the mixed number to an improper fraction:
3 2/11x = 35/11x
Now, multiply both sides by 11 to isolate x:
35x = 35 * 11
35x = 385
x = 385 / 35
x ≈ 11
Therefore, the solutions to the equations are x ≈ 17.51 and x ≈ 11.