Hi. I am horrible at math, and I need help solving these...

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<p>I have a ton of questions. I will keep adding them later on in this thread. But here are the first five that killed me. Is there also a way where I can insert images for the geometry-type questions I have?</p>

<p>1. There are 75 more women than men enrolled in Linden College. If there are n men enrolled, then, in terms of n, what percent of those enrolled are men?</p>

<p>(A) n/n + 75 %
(B) n/2*n* + 75 %
(C) n/100(2*n* + 75) %
(D) 100*n*/n + 75 %
(E) 100*n*/2*n* + 75 %</p>

<p>2. If 18 * (square root of)18 = r * (square root of)t, where r and t are positive integers and r > t, which of the following could be the value of rt ?</p>

<p>(A) 18
(B) 36
(C) 108
(D) 162
(E) 324</p>

<p>3. If x^2 - y^2 = 77 and x + y = 11, what is the value of x ?
(Grid in)</p>

<p>4. Let the function h be defined by h<a href="x">/i</a> = 14 + *x^2/4
If h<a href="2%5Bi%5Dm%5B/i%5D">/i</a> = 9*m, what is one possible value of m ?</p>

<p>5. Positive integers x, y, and z satisfy the equations x^-1/2 = 1/3 and y^z = 16. If z > y, what is the value of x + z ?</p>

<p>(A) 5
(B) 7
(C) 11
(D) 13
(E) 15</p>

<p>Thanks to all you math geniuses, in advance. :)</p>

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<ol>
<li>ok lets say n = 25. so then there would be 100 woman correct and 25 men? Now that would translate to 20% Plug in (can't do right now) and see which one = 20% (not .2 or 2000)
Next one
18 square root of 18 = r root of T
square root of 18 breaks down to 3 square root of 2
so you have 54 square root of 2. This is your r and t = 108</li>
<li>x^2 - y^ 2 = 77
this is the same thing as
(x-y)(x+y) = 77
you know x + y. So plug that in. And you get x-y = 7
now you have two equations
x + y = 11
x - y = 7
2x = 18
x = 9
h(M) - 14 + M^2/4 correct?
now h(2m) = 14 + (2M)^2 / 4. this breaks down to 14 + m^2
now you know it = 9m
14 + M^2 = 9m
Bring 9m to left side and factor (you get (m - 7)(m-2) and m = 2 or 7
now the last one
X ^ -1/2 = 1 / x^1/2
so x ^ 1/2 = 3
x = 9 (just solve for x)
now since y > z and its pos. integers...
y must be 2 and z must be 4
4 + 9 = 13.</li>
</ol>

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<p>20!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! AHhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh Arrange! arrange! permutation ! permutation! Read the words!!!!!!!!!!!!!!!!!!!!!!!!! Not so simple!! Joe B!!! Joe B!!! WHy????????????
Ahhhhhhhhhhhhhhhhhhhhh! <em>multiple punches throughout body</em><em>contorting in pain</em></p>

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<p>Gyros321, do you ever make 1 or two careless mistakes?</p>

<p>Please do not answer--it is a rhetorical question.</p>

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<p>i have to answer. I ALWAYS DO. NO MATTER WHAT. ALWAYS MAKE THESE careless mistakes. Ah now i am done.</p>

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<p>Hey Gyros, thanks so much for the help! I appreciate it!</p>

<p>All of your explanations are awesome, and make sense, except for the first one..... sorry, I am dumb.</p>

<p>Next batch of questions I have:</p>

<p>1. Let the operation "&" be defined by a & b = a + b/a - b for all numbers a and b, where a =/= b. If 1 & 2 = 2 & x, what is the value of x ?</p>

<p>(A) 4
(B) 3
(C) 2
(D) 1
(E) 0</p>

<p>2. During a sale, a customer can buy one shirt for x dollars. Each additional shirt the customer buys costs z dollars less than the first shirt. For example, the cost of the second shirt is x - z dollars. Which of the following represents the customer's cost, in dollars, for n shirts bought during this sale?</p>

<p>(A) x + (n - 1)(x - z)
(B) x + n<a href="%5Bi%5Dx%5B/i%5D%20-%20%5Bi%5Dz%5B/i%5D">/i</a>
(C) n(*x - z)
(D) x + (x + (x - z)/n<a href="E">/i</a> (*x - z) + (x - z)/n</p>

<p>3.
A B C D E</p>

<p>If the 5 letters show above are placed in a row so that C is never at either end, how many different arrangements are possible?</p>

<p>4. If p is an integer and 3 is the remainder when 2*p* + 7 is divided by 5, then p could be</p>

<p>(A) 2
(B) 3
(C) 4
(D) 5
(E) 6</p>

<p>5. Stacy noticed that she is both the 12th tallest and the 12th shortest student in her class. If everyone in the class is of a different height, how many students are in the class?</p>

<p>(A) 22
(B) 23
(C) 24
(D) 25
(E) 34</p>

<p>Thanks, guys.</p>

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<p>simply do what it says
a + b/a
so 1 + 2/1 = 2 + B/2
3 = 2 + b/2
b = 2
2. ok say x = 10. so one shirt = 10 dollars. Now lets say z =2. So every T-shirt after the first one is 2 dollars less thant the previous one (so 10, 8, 6... 0).
Lets just say N = 3
So if you buy 3 shirts do it yourself. You pay 10 + 8 +6 = 24
Now plug in your variables into each of the answer choices and see which one = 24. I may have done this one wrong. going very fast.
3. Ok C can never be at the end. So that means this :
Create 5 spaces, which represent the 5 letters</p>

<hr>

<p>C can never be at the end or the start
so that means the first spot can ONLY have 4 total options. now work with the last one. You already used 1 of the 4 that can work (remember C cannot be used there) so you have 3 now that can fit there. Next work with the 2nd one. you have 3 total letters. Then 2 for the third one. And 1 for the 4th.
4 X 3 X 3 X 2 = 72.. you may not have understood this if you don't know combinations and permutations.
4. ok in order to get a remainder of 3 if something is divided by 5 is if that number is = to 8 + 5 and so on. (8, 13, 18, 23.. so on). Now plug in the answer choices for what P can be. We find out that p = 3 is the only option because you get 13/5 when u plug it in. this has a remainder of 3.
5. if stacy is 12th tallest there are 11 ahead of her. if she is 12 shortest then there are 11 behind her. so 11 + 11 + 1 (1 is = to her) = 23.</p>

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<p>Gyros, the first question with the funky "&" function... it's answer is 4. I thought it was 2, as well, but the book says it's 4.</p>

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<p>None of the choices fit.. it says a =/= b so 2 can't be correct. However 4 is not either. The question is wrong.</p>