The length of a picture frame is (8u - 12) inches. Its width is 3/4 of its length. Express the width of the picture frame in terms of u.
3/4 (8u-12)
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To express the width of the picture frame in terms of u, first we need to find the length of the picture frame.
Given: Length of the picture frame = (8u - 12) inches.
Now, it's given that the width is 3/4 of its length.
So the width = (3/4) * (8u - 12).
To simplify this expression, we can multiply the numerical coefficient (3/4) with each term inside the parentheses:
Width = (3/4) * 8u - (3/4) * 12.
Simplifying the expression further, we get:
Width = 6u - 9.
Therefore, the width of the picture frame in terms of u is 6u - 9 inches.
To express the width of the picture frame in terms of u, we need to determine what fraction of the length the width represents.
Given that the width is 3/4 of the length, we can express it as:
Width = (3/4) * length
Now, let's substitute the given expression for the length into the equation:
Width = (3/4) * (8u - 12)
To simplify the equation further, we can distribute the fraction across the expression inside the parentheses:
Width = (3/4) * 8u - (3/4) * 12
Simplifying the equation:
Width = (3/4) * 8u - (3/4) * 12
Width = (24u/4) - (36/4)
Width = 6u - 9
Therefore, the width of the picture frame in terms of u is 6u - 9 inches.