<ol>
<li>The repeating unit is RYGWB. So, you left off with RYG, and started again with YGWB. So your shortest possible linkage is WBR, which is 3 units. So it could be WB-RYGWB-R (3+5) or WB - RYGWB - RYGWB - R (3 + 5 + 5), basically 3 + 5n where n is an integer. So, only D fits.</li>
</ol>
<p>How would you do these? I'm looking for a quick way to do it. My way takes way too long.</p>
<p>In an art class, there were just enough staplers, rulers
and glue bottles so that every 2 students had to share a
stapler, every 3 students had to share a ruler, and every
4 students had to share a glue bottle. If the sum of the
number of staplers, rulers, and glue bottles used by the
class was 65, how many students were in the class?</p>
<p>How many positive integers less than 1,000 are multiples
of 5 and are equal to 3 times an even integer?</p>
<p>Number of students = 2 * s = 3 * r = 4 * g
s + r + g = 65</p>
<p>r = 2/3 s
g = 1/2 s</p>
<p>s + 2/3 s + 1/2 s = 65
13/6 s = 65
s = 30</p>
<p>Since number of students = 2s, the number of students must be 60.</p>
<p>To be equal to 3 times an even integer, a number must be a multiple of 6. To be both a multiple of 5 and a multiple of 6, a number must be a multiple of 30. Just take the integer part of 1000 and divided by 30 to get your answer, which should be 33.</p>
<p>The number of baseball cards in Caleb's collection doubles eery three months. If after 9 months he has b baseball cards, then an expression for the number of basball cards in his collection after y years is given by</p>
<p>a. (2^y)b
b. (2^(4y-3))b
c. (2^(4y))b
d. 2(b^(4y-3))
e. (2^y)(b^(y+2))</p>
<p>Three identical cubes, each with edges of length 8, are to be cut into a total of 384 identical rectangular solids of length 4. If the width and height of each solid are integers, what is the surface area of each solid?</p>
<p>The number of baseball cards in Caleb's collection doubles eery three months. If after 9 months he has b baseball cards, then an expression for the number of basball cards in his collection after y years is given by</p>
<p>a. (2^y)b
b. (2^(4y-3))b
c. (2^(4y))b
d. 2(b^(4y-3))
e. (2^y)(b^(y+2))</p>
<p>It's (B). Time elapsed since the 9 months is y - 9 months = 12 months * y - 9 months. But since it doubles every 3 months, the exponent should be 1/3*(12y - 9) = 4y - 3.</p>
<p>So, just calibrate it with the point you have, and number = b* 2^(4y-3)</p>