Finding Multiplier of ConstantsDate: 8/5/96 at 13:29:19 From: SunjayMishra Subject: Finding Multiplier of Constants Hello! This is an equation that I saw in a SAT book that I did not understand: X = a^2/b^2c If n = 1/3x, then n is the value that results when the positive numbers a,b,c in the expression above are each multiplied by which of the following: a) 1/9 b) 1/3 c) 3 d) 9 e) 27 I would also appreciate it if you could e-mail me some educational sites, such as an Internet public library, that are free to use. Thanks for the help! Date: 8/5/96 at 17:29:6 From: Doctor Paul Subject: Re: Finding Multiplier of Constants Okay... here's the idea. You want to multiply a, b, and c by some number and then have that return X/3 after you simplify it out. Let's do it: I'm going to call the number we are looking for 'P' X (a*P)^2 --- = --------------- 3 (b*P)^2 * (c*P) X a^2 * P^2 --- = ------------------ 3 b^2 * P^3 * c X a^2 --- = ---------- 3 P * b^2 * c Now we make a substitution: let's look at something that was given in the definition: a^2 X = -------- b^2*c plug that into the right side of our equation: X X --- = --- 3 P so P equals three. That's your answer. It corresponds with letter 'C' >I would also appreciate it if you could e-mail me some educational >sites, such as an internet public library, that are free to use. Why not try doing a net search for public libraries? Go here: http://search.yahoo.com/bin/search?p=public+libraries I hope this answers your SAT question. If you have any more, feel free to send them to us. -Doctor Paul, The Math Forum Check out our web site! http://mathforum.org/dr.math/ |
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