Question

lab technician cuts a 29 in piece of glass tubing into two pieces. One piece is 2 in longer than the other. How long are the​ pieces?

Answer 1

6.25 & 8.25

Explanation:

im probably wrong lol-

29/2 = x+x+2

14.5=2x+2

12.5=2x

therefore x = 6.25 but to fin the other x add 2

so then the longer piece would be 8.25

Answer 2

Solution:-

`\red\leadsto`Let one piece of glass tubing be of length x in ,

`\green\leadsto`then other piece will be of length(x+2) in since it is 2 in longer than other piece

`\\`

>>>Total length of both the piece

= 29 in _ _ _ (1)

>>>Total length of both pieces = length of shorter piece + length of longer piece

`\:\implies` Total length of both pieces = x+(x+2) _ _ _(2)

`\\`

Equating (1) and (2)

`\:\implies`x+(x+2) = 29

`\:\implies`x+x+2= 29

`\:\implies`2x+2 = 29

`\:\implies`2x= 29-2

`\:\implies`x= 27/2

`\\`

>>Length of smaller piece =

`\:\implies`x = 27/2 in

>>> Length of larger piece =

`\:\implies`(x+2) = 27/2 + 2 = 31/2 in

`\\`

`\longrightarrow`Thus, The pieces are 27/2 in and 31/2 in long