BlueBook Q 11,14,15 Pg 521,522 (not answered)

<p>These questions aren't on the consolidated list, and they were hard (in my opinion, which means I got them wrong) so would anybody care to explain them?</p>

<p>11) Senai customized her bicycle by exhanging the front wheel for a wheel that had one half the diameter of the back wheel. Now when Senai rides the bicycle, how many revolutions does the front wheel make for each revolution of the back wheel?</p>

<p>A. 8
B. 4
C. 2
D. 1/2
E. 1/4</p>

<p>(I said 4 because if you set the original at 4, and the new at 2, that's one with pi circumference, and one with 4pi circumference, at least I thought so >_>)</p>

<p>14) For how many ordered pais of positive integers (x,y) is 2x + 3y > 6?</p>

<p>A. 1
B. 2
C. 3
D. 5
E. 7</p>

<p>( didn't get what this question wanted...)</p>

<p>15) This one has a diagram.
If y= 60 in Triangle DEF above, how much greater is the perimeter of Triangle ABC than the perimeter of Triangle DEF?</p>

<p>A. 0
B. 3
C. 6
D. 8
E. 9</p>

<p>THANKS!</p>

<p>11:
Circumference and diameter are both in the linear dimension, so a change in one results in the same happening to the other. Halving the diameter means that the circumference is also halved. With a circumference that is half, the wheel needs to spin twice as much to go the same distance. The answer is 2.</p>

<p>14: For how many different sets of x and y would the equation be true? The answer is one because the only way for it to be true is if x = 1 and y = 1.</p>

<p>15: I dont have my book with me and its like midnight where im at so I give up. Someone else can do it.</p>

<p>Oh, thanks!</p>

<p>Anyone mind having a stab at 15?</p>

<p>The equation for problem 11 is 2x + 3y < 6 ... the way you had it, there are an infinite number of possible answers.</p>

<p>For 15, two things to remember: ABC is isosceles so that the sides opposite the two equal angles are equal. Also, DEF has three angles of 60 degrees, which means it is an equilateral triangle. See if you can take it from there...</p>

<p>^
I figured as much, I got stuck from there, since I can't prove that they are congruent or similar triangles.</p>

<p>And DOH! At the >6 mistake. Yeah, when you rush, you don't pay attention >_></p>