Answer:
9. x=10
10. x=8
11. x=9/4=2.25
12. x=28
13. x=14
14. x=35
15. x=66
16. x=77/6
Step-by-step explanation:
9. x/20=18/36
Simplifying the fraction on the right side of the equation, dividing the numerator and denominator by 18:
x/20=(18/18) / (36/18)
x/20=1/2
Solving for x: Multiplying both sides of the equation by 20:
20(x/20)=20(1/2)
x=10
10. x/12=6/9
Simplifying the fraction on the right side of the equation, dividing the numerator and denominator by 3:
x/12=(6/3) / (9/3)
x/12=2/3
Solving for x: Multiplying both sides of the equation by 12:
12(x/12)=12(2/3)
x=4(2)
x=8
11. x/3=3/4
Solving for x: Multiplying both sides of the equation by 3:
3(x/3)=3(3/4)
x=9/4=2.25
12. x/42=30/45
Simplifying the fraction on the right side of the equation, dividing the numerator and denominator by 15:
x/42=(30/15) / (45/15)
x/42=2/3
Solving for x: Multiplying both sides of the equation by 42:
42(x/42)=42(2/3)
x=14(2)
x=28
13. x/12=14/12
Simplifying the fraction on the right side of the equation, dividing the numerator and denominator by 2:
x/12=(14/2) / (12/2)
x/12=7/6
Solving for x: Multiplying both sides of the equation by 12:
12(x/12)=12(7/6)
x=2(7)
x=14
14. x/25=28/20
Simplifying the fraction on the right side of the equation, dividing the numerator and denominator by 4:
x/25=(28/4) / (20/4)
x/25=7/5
Solving for x: Multiplying both sides of the equation by 25:
25(x/25)=25(7/5)
x=5(7)
x=35
15. x/110=(160-100)/100
x/110=60/100
Simplifying the fraction on the right side of the equation, dividing the numerator and denominator by 20:
x/110=(60/20) / (100/20)
x/110=3/5
Solving for x: Multiplying both sides of the equation by 110:
110(x/110)=110(3/5)
x=22(3)
x=66
16. x/11=(x+7)/17
Solving for x: Cross Multiplication:
17x=11(x+7)
Eliminating the parentheses on the right side of the equation:
17x=11(x)+11(7)
Multiplying:
17x=11x+77
Grouping the x's on the left side of the equation: Subtracting 11x both sides of the equation:
17x-11x=11x+77-11x
Subtracting:
6x=77
Dividing both sides of the equation by 6:
6x/6=77/6
Dividing:
x=77/6
