byronanderson
04.07.2019 •
Mathematics
Determine which of the following expressions are part of the greatest common factor of 54mn4 and 27m3n2. select all situations that apply. a) 9 b) n2 c) m d) 18 e) 27
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Ответ:
we are given expression: and .
in order to find it's greatest common factor, let us break it into smaller parts.
let us find greatest common factor of 54 and 27 first.
54 = 27 × 2
27 = 27 × 1
27 is the greatest common factor of 54 and 27.now, let us find the greatest common factor of m and m^3.
m is the greatest common factor of m and m^3.now, let us find the greatest common factor of n^4 and n^2.
n^2 is the greatest common factor of n^4 and n^2.therefore, following expressions are part of the greatest common factor of 54mn^4 and 27m^3n^2.
b) n2c) me) 27Ответ:
1 : 50000
Step-by-step explanation:
On the map, the two cell towers are 6 centimeters away from each other.
In real life, the two cell towers are 3 kilometers away from each other.
To find the scale of the map, we have to find the ratio of the distance between to two cell towers on the map and in real life.
Let us put both distance in the same unit, centimeters:
1 kilometer = 100000 centimeters
3 kilometers = 3 * 100000 centimeters = 300000 centimeters
Therefore, the ratio of both distances is:
6 : 300000
In lowest terms:
1 : 50000
That is the scale of the map.