Multiply 12 x 12 which is 144. And then you divide that by 6 and you get 24
The coordinate of the partition c on the line segment is (1.2, -4.7)
<h3>How to determine the coordinates of the partition?</h3>
The coordinates are given as:
A = (7,-2)
B = (-8,-9)
m:n = 5:8
The coordinate of the partition is calculated using:

So, we have:

Evaluate the sum and products

Evaluate the product
(x,y) = (1.2, -4.7)
Hence, the coordinate of the partition on the line segment is (1.2, -4.7)
Read more about line segment ratios at:
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I’m pretty sure it’s w^25
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

Answer:
n(U)=200
n(M)=140
n(S)=120
n(MuS)complement=40
n(MuS)=n(U)-n(MuS)complement
=200-40
=160
n(MnS)=n(M)+n(S)-n(MuS)
=140+120-160
=260-160
=100