Point m is the midpoint of segment QR. If QM=16+x and MR=2(2x+2), find the length of QM
2 answers:
Answer:
Step-by-step explanation:
1. By definition, the midpoint is the point of a segment where it is divided into two equal segments.
2. Keeping the definition above on mind, if and
, you can calculate the lenght of
as following:
- Equal both equations:
- Solve for :
- Substitute the value of into
:
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Answer:
See explanation
Step-by-step explanation:
Let x be the number of simple arrangements and y be the number of grand arrangements.
1. The florist makes at least twice as many of the simple arrangements as the grand arrangements, so
2. A florist can make a grand arrangement in 18 minutes hour, then he can make y arrangements in
hours.
A florist can make a simple arrangement in 10 minutes hour, so he can make x arrangements in
hours.
The florist can work only 40 hours per week, then
3. The profit on the simple arrangement is $10, then the profit on x simple arrangements is $10x.
The profit on the grand arrangement is $25, then the profit on y grand arrangements is $25y.
Total profit: $(10x+25y)
Plot first two inequalities and find the point where the profit is maximum. This point is point of intersection of lines and
But this point has not integer coordinates. The nearest point with two integer coordinates is (126,63), then the maximum profit is
