Answer:
The answer is option C.
Step-by-step explanation:
Team A distributes 60% more boxes of booklets than Team B.
But each box of Team A’s has 60% fewer booklets than each box of Team B’s.
We can define the ratio as:
Team A boxes : team B boxes = 160:100 = 8:5
We can say that team A distributes 8x boxes while team B distributes 5x boxes.
Given that team A has 60% fewer means 40% booklets in each box. So,
Team A booklets per box : Team B booklets per box = 40:100 = 2:5
Therefore, team A's boxes have 2y booklets each while team B's have 5y booklets each.
Then the total number of booklets =
Now, books count can be integers which means x and y must be integers and divisible by 41.
Out of all the options, 4100 is divisible by 41.
Therefore, the answer is option C.
If the angle measure of a circle is 360, then the equation should be:
Answer:
<h3>1. Find common denominator (LCD)</h3>(x + 3)(2x - 1) =
<h3>2. Multiply bottom to get LCD, then multiply top to match</h3>First term:
- Second term:
- Ending expression:
<h3>3. Rewrite terms in a single fraction</h3>
----->
<h3>4. Subtract, then combine like terms</h3>Final answer:
Answer:
17. 6
18. 18 (as shown)
19. 10/3 = 3 1/3
20. 20/3 = 6 2/3
Step-by-step explanation:
17. For this, you can subtract the given length GB=12 from the length you found for problem 18, BF=18. Doing that tells you FG = 18-12 = 6, as you have marked on the diagram.
19. As with median BF, the point G divides it into two parts that have the ratio 1:2. The distance from G to D is the shorter of the distances, so you have ...
... GD = (1/3) CD = (1/3)·10 = 10/3
... GD = 3 1/3
20. You can subtract GD from CD to get CG, or you can multiply CD by 2/3. The result is the same either way.
... CG = CD -GD = 10 -3 1/3
... CG = 6 2/3
_____
<em>Comment on centroid and median</em>
The centroid (G) divides each median into parts in the ratio 1:2. Hence the shorter of those parts is half the length of the longer one, or 1/3 the total length of the median.
The longer of the parts is double the length of the shorter one, or 2/3 the total length of the median.
Your marking of median BF seems to show an understanding of these relationships. (Total length: 18; length of parts: 6 and 12.)