Answer:
2,100 miles
Step-by-step explanation:
we know that
On a map, the distance between Shanghai and Mount Everest measures 4 1/5 inches
Convert mixed number to an improper fraction
[tex]4\frac{1}{5}\ in=\frac{4*5+1}{5}=\frac{21}{5}\ in[/tex]
The scale of the map is 1 inch equals 500 miles
so
using proportion
Find out how many miles apart are Shanghai and Mount Everest
Let
x ----> the distance in miles
[tex]\frac{1}{500}\frac{in}{mi}=\frac{(21/5)}{x}\frac{in}{mi}\\\\x=500(21/5)\\\\x=2,100\ mi[/tex]
Answer:
The miles apart for Shanghai and Mount Everest is 2100 miles
Explanation:
Given :
Distance in map between Shanghai and Mt. Everest = [tex]4 \frac{1}{5} \text { inches }[/tex]
1 inch = 500 miles
Converting mixed fraction [tex]4 \frac{1}{5} \text { inches }[/tex] into improper fraction = [tex]\frac{21}{5} \text { inches }[/tex]
To calculate the distance (in miles)
[tex]\frac{21}{5} \text { inches } \times 1 \mathrm{Inch}[/tex]
=[tex]\frac{21}{5} \times 500 \text { miles }[/tex]
= 2100 miles
Therefore the distance for Shanghai and Mount Everest in miles is 2100 miles
