The equivalent scales are:
3 cm to 15 km is equivalent to 1 cm to 5 km ⇒ answer A
5 mm to 2.5 km is equivalent to 1 cm to 5 km ⇒ answer D
1 mm to 500 m is equivalent to 1 cm to 5 km ⇒ answer E
Step-by-step explanation:
To solve this problem do that
1. The given scale is 1 cm represents 5 km, then all given answer must
be change to cm and km
2. Find the equivalent scales to the given scale
A.
∵ 3 cm represents 15 km
- Divide both of them by 3
∴ 1 cm represents 5 km
3 cm to 15 km is equivalent to 1 cm to 5 km
B.
∵ 1 mm represents 150 km
- Change mm to cm
∵ 1 cm = 10 mm
∴ 1 mm = [tex]\frac{1}{10}[/tex] cm = 0.1 cm
∴ 0.1 cm represents 150 km
- Multiply both by 10
∴ 1 cm represents 1500 km
1 mm to 150 km is not equivalent to 1 cm to 5 km
C.
∵ 5 cm represents 1 km
- Divide both my 5
∴ 1 cm represents 0.2 km
5 cm to 1 km is not equivalent to 1 cm to 5 km
D.
∵ 5 mm represents 2.5 km
- Change mm to cm
∵ 1 cm = 10 mm
∴ 5 mm = [tex]\frac{5}{10}[/tex] cm = 0.5 cm
∴ 0.5 cm represents 2.5 km
- Divide both by 0.5
∴ 1 cm represents 5 km
5 mm to 2.5 km is equivalent to 1 cm to 5 km
E.
∵ 1 mm represents 500 m
- Change mm to cm
∵ 1 cm = 10 mm
∴ 1 mm = [tex]\frac{1}{10}[/tex] cm = 0.1 cm
- Change m to km
∵ 1 km = 1000 m
∴ 1 m = [tex]\frac{1}{1000}[/tex] = 0.001 km
∴ 500 m = [tex]\frac{500}{1000}[/tex] = 0.5 km
∴ 0.1 cm represents 0.5 km
- Multiply both by 10
∴ 1 cm represents 5 km
1 mm to 500 m is equivalent to 1 cm to 5 km
Learn more:
You can learn more about the equivalent quantities in brainly.com/question/120752
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