Answer:
d = 7.4 cm is the distance between the two cities on the map.
Step-by-step explanation:
Let d = the distance measured on the map in centimeters (cm) between any two locations and let D be the actual distance in kilometers (km) between these same two locations.
Since the scale on the map is 1 cm = 45 km, then the ratio of the distance on the map to the actual distance is equal to 1cm/45 km; therefore the quotient of any measured distance d on the map divided by the corresponding much longer actual distance D would have to maintain (equal) this same ratio; In other words, we can set up the following proportion to solve for d given the actual distance D = 333 km as follows:
1 cm/45 km = d/D
Substituting, we get:
1 cm/45 km = d/333 km
d/333 km = 1 cm/45 km
(d/333 km)(333 km) = (1 cm/45 km)(333 km)
d = (333 km/45 km)(1 cm)
d = 7.4 cm is the distance between the two cities on the map.
Check:
1 cm/45 cm = d/333 km
1 cm/45 cm = 7.4 cm/333 km
1 cm/45 cm = 1 cm/45 km (Therefore, the distance ratio of the map has been maintained
Answer:
-8
Step-by-step explanation:
5(x+12)= 20
5x+60= 20
5x= -40
x= -8
Answer is 187.06 and the work is in the attached picture.
If you want to find the volume, multiply the area of the base by the height. In this problem it would be 888*555, which is equal to 492,840
