Which expression represents the amount of material y that would be left over if x pieces of wood that are each 5 1/6 inches long are cut from a board that is 82 inches long?
a) y = 82 - 5 1/6x
b) y = 82x - 5 1/6x
c) x = 82y - 5 1/6
d) x = 82 - 5 1/6y
I don't think that it's c or d but I still don't understand it, thanks for helping!
a) y = 82 - 5 1/6x
Hold up, is that a glitch, or is that a real person? I can't tell...
Ah yes, the times we live in.
Since the answer is correct I would assume that the respondent is real.
To determine the expression that represents the amount of material y that would be left over if x pieces of wood are cut from a board, we need to consider the length of the board and the length of each piece being cut.
Given:
Length of the board: 82 inches
Length of each wood piece: 5 1/6 inches
When x pieces of wood, each with a length of 5 1/6 inches, are cut from the board, the total length that would be used is (5 1/6)x inches.
To find the amount of material y that would be left over, we subtract the length used from the total length of the board. Therefore, the expression should be:
y = 82 - (5 1/6)x
Simplifying the expression, we can convert the mixed fraction to an improper fraction:
y = 82 - (31/6)x
To simplify it further, we can use the common denominator of 6:
y = (492/6) - (31/6)x
And simplifying:
y = (492 - 31x)/6
So, the correct expression that represents the amount of material y left over is:
a) y = (492 - 31x)/6