The ratio of miles to kilometers is 1:1.6. Use this fact to complete the workings below for finding out how many kilometersare equal to 10 miles.

The ratio of miles to kilometers is 116 Use this fact to complete the workings below for finding out how many kilometersare equal to 10 miles class=

Respuesta :

Answer:

16 kilometers

Explanation:

Given:

The ratio of miles to kilometers is 1: 1.6

To find:

how many kilometers is equal to 10 miles

[tex]\begin{gathered} 1\text{ miles = 1.6 kilometers} \\ let\text{ 10 miles = x km} \\ cross\text{ multiply:} \\ x(1)\text{ = 10\lparen1.6\rparen} \\ x\text{ = 10\lparen1.6\rparen} \end{gathered}[/tex][tex]\begin{gathered} x\text{ = 16} \\ \\ Hence,\text{ 10 miles is equal to 16 kilometers} \\ \\ We\text{ can also view it this way:} \\ since\text{ we are multiplying the value of the ratio in miles by 10, we will be multiplying the value of ratio in km by 10 also} \\ ratio=\text{ 1: 1.6} \\ 1(10)\text{ = 10} \\ 1.6(10)\text{ = 16} \end{gathered}[/tex]