Considering the definition of scale, the length of the Mississippi River on the map is 96.667 cm.
The scale of a cartographic representation, or map scale, is the relationship of similarity between the real dimensions of the geographical space represented and those of its image on the map.
Scale is the relationship between a real object (for example, the surface of the Earth or a portion of it) and the representation that is made of it.
The scale is represented as a fraction as follows: measured on the map/measured in reality
In this case, you know that:
Considering the definition of scale, you can calculate the length of the Mississippi River on the map as follow:
5 cm/ 120 miles= measured on the map/2320 miles
(5 cm/ 120 miles)× 2320 miles= measured on the map
96.667 cm= measured on the map
Finally, the length of the Mississippi River on the map is 96.667 cm.
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