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# When I was trying to get the volume of a solid obtained by rotation by integrating and plugging b in I got 0 for the volume. Thatt has to be wrong (answer)

Probably, yes, though it's possible your teacher has given you a trick question!  You should ALWAYS graph the shape you're rotating, either by using your graphing calculator or sketching on paper.  Visualizing what you're doing clearly can help you avoid all sorts of problems.  With...

# 1/4(x+1/2)- 2/3(x-1/6)- 1/2 - Need help! (answer)

I'm not sure if you mean 1/[4(x +1/2)] - 2/[3(x - 1/6)] - 1/2 , with the parentheses in the denominators, or (1/4)(x+1/2) - (2/3)(x-1/6) - 1/2, which means the fractions are simply next to the parentheses.  I'm going the guess you mean the second one!  Also, there's no equal...

# After a 20% reduction, you purchase a new suit for \$276. to find the original price of the suit. (answer)

The Always Works approach for percent problems like these is to set it up as a fraction problem: percentage / 100 = part / whole For any problem, you'll know two of these, and have to find the last.  In this case you know the partial price of the suit - that is, you know the price that...

-7(1-4m) = 13(2m-3) The first thing you want to do it get rid of those parenthesis.  You can do this by distributing the -7 and the 13.  That means multiplying the -7 by each term inside it's parenthesis (the 1 and the -4m), and doing the same with the 13 on its side: -7 +...

# Solve |2y - 2| = 15 (answer)

Solve |2y - 2| = 15 The least confusing way to solve an absolute value problem is to split it into two problems, one for the positive possibility, and one for the negative.  So, we'd split this problem into these two problems: 2y - 2 = 15                ...

-4 < -2x + 4 < 12 With one exception (which we'll get to), inequalities work exactly like equations. If you had: -2x + 4 = 12 you would have no problem solving that. First, you would subtract 4 from both sides: -2x = 8 Then, you would divide both sides by...

# we have 52 at the top and 70 at the bottom and are ask to tell what 3x+22 what is x (answer)

Can you edit this?  I understand that you have a parallelogram, with a top edge that is 52 and bottom edge that is 70.  But I don't understand the rest of what you say!  What about a line from x to z?