SOLUTION: If the length of thread on a bolt is equal to twice the diameter plus 1/4", how much thread would a 1/2" (diameter) bolt have?

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Question 4588: If the length of thread on a bolt is equal to twice the diameter plus 1/4",
how much thread would a 1/2" (diameter) bolt have?

Answer by Abbey(339) About Me  (Show Source):
You can put this solution on YOUR website!
Let L=Length of thread on a bolt
Let D=Diameter
So we can write the length of the thread on a bolt is equal to twice the diameter + 1/4" as:
L=2D%2B1%2F4
If D=1%2F2, then
L=2%281%2F2%29%2B1%2F4
Clear the parentheses and combine like terms:
L=1%2B1%2F4
L=5%2F4%22
The thread is 5/4 inches in length