Answer:
11. x=4.5
12. x=16
13. x=15
14. x=15
15. x=10
EH=9
16. Corry is 6 feet tall.
17. The Ferris Wheel is 15 m tall.
18. The mural is 150 inches long.
19. A 15 foot ladder would touch the building at a height of 10 feet.
Explanation:
11. x/7.5=6/10
Simplifying the fraction on the right side of the equation:
x/7.5=3/5
Solving for x: Multiplying both sides of the equation by 7.5:
7.5(x/7.5)=7.5(3/5)
x=1.5(3)
x=4.5
12. x/20=(27-15)/15
x/20=12/15
Simplifying the fraction on the right side of the equation:
x/20=4/5
Solving for x: Multiplying both sides of the equation by 20:
20(x/20)=20(4/5)
x=4(4)
x=16
13. x/6=(14-4)/4
x/6=10/4
Simplifying the fraction on the right side of the equation:
x/6=5/2
Solving for x: Multiplying both sides of the equation by 6:
6(x/6)=6(5/2)
x=3(5)
x=15
14. x/20=12/(12+4)
x/20=12/16
Simplifying the fraction on the right side of the equation:
x/20=3/4
Solving for x: Multiplying both sides of the equation by 20:
20(x/20)=20(3/4)
x=5(3)
x=15
15. [(x+5)+9]/(x+5)=12/6
(x+5+9)/(x+5)=2
(x+14)/(x+5)=2
Solving for x: Multiplying both sides of the equation by (x+5):
(x+5)(x+14)/(x+5)=(x+5)2
x+14=2(x+5)
Eliminating the parentheses applying the distributive property:
x+14=2(x)+2(5)
Multiplying:
x+14=2x+10
Grouping the x's on the right side of the equation: Subtracting x both sides of the equation:
x+14-x=2x+10-x
Subtracting:
14=x+10
Solving for x: Subtracting 10 both sides of the equation:
14-10=x+10-10
4=x
x=4
EG=x+5→EG=4+5→EG=9
EH/HF=EG/GD
Replacing the known values:
EH/9=9/9
EH/9=1
Solving for EH: Multiplying both sides of the equation by 9:
9(EH/9)=9(1)
EH=9
16. Corry's height / Corry's shadow = Giraffe's height / Giraffe's shadow
Replacing the given values:
Corry's height / 4 feet = 18 feet / 12 feet
Simplifying the fraction on the right side of the equation:
Corry's height / 4 feet = 3/2
Solving for Corry's height: Multiplying both sides of the equation by 4 feet:
4 feet (Corry's height / 4 feet) =4 feet (3/2)
Corry's height = 2 feet (3)
Corry's height = 6 feet
17. Ferris Wheel's height / Ferris Wheel's shadow =
Man's height / Man's shadow
Replacing the given values:
Ferris Wheel's height / 20 m = 1.8 m / 2.4 m = 18/24
Simplifying the fraction on the right side of the equation:
Ferris Wheel's height / 20 m = 3/4
Solving for Ferris Wheel's height: Multiplying both sides of the equation by 20 m:
20 m (Ferris Wheel's height / 20 m) =20 m (3/4)
Ferris Wheel's height = 5 m (3)
Ferris Wheel's height = 15 m
18. Mural's length / Mural's width =
Photographer's length / Photographer's width
Replacing the given values:
Photographer's length / 120 inches = 5 inches / 4 inches = 5/4
Solving for Photographer's length: Multiplying both sides of the equation by 120 inches:
120 inches (Photographer's length / 120 inches) = 120 inches (5/4)
Photographer's length = 30 inches (5)
Photographer's length = 150 inches
19. Height 15-foot ladder touch the building / 15 feet =
Height 9-foot ladder touch the building / 9 feet
Height 15-foot ladder touch the building / 15 feet = 6 feet / 9 feet = 6/9
Simplifying the fraction on the right side of the equation:
Height 15-foot ladder touch the building / 15 feet = 2/3
Solving for Height 15-foot ladder touch the building: Multiplying both sides of the equation by 15 feet:
15 feet (Height 15-foot ladder touch the building / 15 feet) = 5 feet (2/3)
Height 15-foot ladder touch the building = 5 feet (2)
Height 15-foot ladder touch the building = 10 feet