It is expressed as: 35/w
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35/7=5 35/5=7. The question is the quotient of 35/5 and 7
That simply means that you divide w by 8. This can be written as w/8, or as (1/8)w.
100/w
Oh, dude, the quotient of 100 and w in algebraic expression is simply 100 divided by w. It's like when you have a hundred bucks and you wanna split it with your friend w, you just do 100 divided by w and there you have it! Easy peasy lemon squeezy.
L = 2W - 3 so W x (2W - 3) = 35, ie 2W^2 - 3W - 35 = 0 This factorises as (2W + 7)(w - 5) so the positive value for W is 5 in, making L = 7 in.