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lorasvet [3.4K]
3 years ago
5

In a society there are 30 men and 20 women members.

Mathematics
1 answer:
krek1111 [17]3 years ago
3 0
<h3>Answer:  2/5</h3>

This is because there are 20 women out of 50 people total (30+20 = 50).

So 20/50 = 2/5

This converts to the decimal form 0.4 and the percentage form 40%

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A pineapple drink contains 15% pineapple juice. How much pure pineapple juice should be added to 8 quarts of the drink to obtain
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Answer:

5.6 quarts

Step-by-step explanation:

x + .15(8) = .50(8+x)

x + 1.2 = 4

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Please Help <br> Write a system of linear Inequalities to represent each graph.
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Answer:

\left\{\begin{array}{l}5x-y-7\le 0\\2x+3y-9\ge 0\end{array}\right.

Step-by-step explanation:

1. Blue region. The boundary blue line passes through the points (0,-7) and (3,8), then its equation is

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This line is solid, so the sign for the inequality should be with the notion "or equal to".

From the diagram you can see that the origin belongs to the blue region, then its coordinates satisfy the inequality. Thus,

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2. Green region. The boundary green line passes through the points (6,-1) and (0,3), then its equation is

\dfrac{x-0}{6-0}=\dfrac{y-3}{-1-3},\\ \\-4x=6(y-3),\\ \\-2x=3y-9,\\ \\2x+3y-9=0.

This line is solid, so the sign for the inequality also should be with the notion "or equal to".

From the diagram you can see that the origin doesn't belong to the blue region, then its coordinates satisfy the inequality. Thus,

2x+3y-9\ge 0.

3. The system of linear inequalities that represents these graphs is

\left\{\begin{array}{l}5x-y-7\le 0\\2x+3y-9\ge 0\end{array}\right.

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