SOLUTION: Seven inches are equivalent to 17.78 cm. Find the equation converting length in cm to length in inches. What is the length in inches of a 96.2 cm bar.

Algebra ->  Equations -> SOLUTION: Seven inches are equivalent to 17.78 cm. Find the equation converting length in cm to length in inches. What is the length in inches of a 96.2 cm bar.      Log On


   



Question 197106This question is from textbook
: Seven inches are equivalent to 17.78 cm. Find the equation converting length in cm to length in inches. What is the length in inches of a 96.2 cm bar. This question is from textbook

Found 2 solutions by josmiceli, Edwin McCravy:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let c= length in cm
Let i= length in inches
For a direct relation:
c+=+k%2Ai where
k+=+17.78%2F7 cm/in
In terms of units only,
cm = (cm/in) x in
cm = cm
The equation is
c+=+%2817.78%2F7%29%2Ai

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
Seven inches are equivalent to 17.78 cm. Find the equation converting length in cm to length in inches. What is the length in inches of a 96.2 cm bar.

Seven inches are equivalent to 17.78 cm. 

Therefore,

7in+=+17.78cm

Solve that for cm.

Divide both sides by 17.78

7in%2F17.78+=+17.78cm%2F17.78

.3937007874in+=+cm}

Write cm as 1cm
and reverse the equality:

1cm+=.3937007874in

Let N = the number of centimeters
we wish to convert.

Then we multiply both sides by N:

%28N%29cm+=+%28.3937007874%2AN%29in

That's the formula.

Therefore to find the length in inches of a 96.2 cm bar,
we substitute 96.2 for N:

%28N%29cm+=+%28.3937007874%2AN%29in
%2896.2%29cm+=+%28.3937007874%2A96.2%29in
%2896.2%29cm+=+%2837.87401575%29in

Edwin