Answer:
[tex]\boxed {\tt 66.9 \ inches}[/tex]
Step-by-step explanation:
We are given the formula:
[tex]c=2.54n[/tex]
where [tex]c[/tex] is centimeters and [tex]n[/tex] is inches.
We know that Henry is 170 centimeters tall. Therefore, we can substitute 170 in for [tex]c[/tex]
[tex]170=2.54n[/tex]
We want to find out how tall Henry is, in inches. We must isolate the variable for inches, [tex]n[/tex], on one side of the equation.
[tex]n[/tex] is being multiplied by 2.54. The inverse of multiplication is division. Divide both sides of the equation by 2.54
[tex]\frac{170}{2.54} =\frac{2.54n}{2.54}[/tex]
[tex]\frac{170}{2.54}=n[/tex]
[tex]66.9291339=n[/tex]
Round to the nearest tenth. The 2 in the hundredth place tells us to leave the 9 in the tenth place.
[tex]66.9 \approx n[/tex]
[tex]n \approx 66.9 \ inches[/tex]
Henry is about 66.9 inches tall.
