On a map, the scale shows that 1 4 cm is equivalent to 20 km. The distance between two cities on the map is 5.5 cm. What is the actual distance between the cities?
+26401 On a map, the scale shows that 1 4 cm is equivalent to 20 km. The distance between two cities on the map is 5.5 cm. What is the actual distance between the cities?
\(5.5\ \text{cm} \cdot \left( \frac{20\ \text{km}}{1.4\ \text{cm}} \right) =\frac{ 5.5 } {1.4}\cdot 20\ \text{km} =78.571\ \text{km}\)
+130547 20 km / 1.4 cm = d / 5.5 cm where d is the distance we are looking for....
Cross-multiply
5.5 (20) = 1.4 d divide both sides by 1.4
d = about 78.57 km
+26401 On a map, the scale shows that 1 4 cm is equivalent to 20 km. The distance between two cities on the map is 5.5 cm. What is the actual distance between the cities?
\(5.5\ \text{cm} \cdot \left( \frac{20\ \text{km}}{1.4\ \text{cm}} \right) =\frac{ 5.5 } {1.4}\cdot 20\ \text{km} =78.571\ \text{km}\)
