Suppose you add x oz of 10% alcohol to y oz of pure alcohol. Then the mixture has a total volume of x + y oz, and we want to end up with 16 oz so that

x + y = 16

For each oz of the solution 10% used, 0.1 oz of alcohol is contributed, and each oz of pure alcohol contributes 1 oz of alcohol. The mixture is supposed to have a concentration of 14%, which comes out to 0.14*16 = 2.24 oz of alcohol. Then

0.1 x + 1 y = 2.24

Solve for y in both equations:

y = 16 - x

y = 2.24 - 0.1 x

Set them equal to one another and solve for x, then for y.

16 - x = 2.24 - 0.1 x

13.76 = 0.9 x

x = 13.76/0.9 ≈ 15.29

y = 16 - 15.29 ≈ 0.71

So you need about 15.29 oz of 10% alcohol and 0.71 oz of pure alcohol to get the desired mixture.

6 0

4 years ago

Write 863.142 in expanded form

Oksana_A [137]

800 + 60 + 3 + 0.1 + 0.04 + 0.002

7 0

4 years ago

Read 2 more answers

Susan has been thinking about starting her own independent gasoline station. Susan’s problem is to decide how large her station

Hitman42 [59]

The Maximax decision is that Susan should build a very large gas station due to the largest value of row maximums.

<h3>What is a decision table?</h3>

A decision table can be defined as a type of table that is used for the graphical representation of the actions to perform, especially based on given conditions and business level rules.

The decision table for Susan’s problem is shown below:

Size Good market Fair market Poor market Row maximum

Small 50,000 20,000 -10,000 50,000

Medium 80,000 30,000 -20,000 80,000

Large 100,000 30,000 -40,000 100,000

Very large 300,000 25,000 -160,000 300,000

Thus, the Maximax decision is for Susan to build a very large gas station due to the largest value of row maximums.

For the Maximin decision, we have:

Size Good market Fair market Poor market Row minimum

Small 50,000 20,000 -10,000 -10,000

Medium 80,000 30,000 -20,000 -20,000

Large 100,000 30,000 -40,000 -40,000

Very large 300,000 25,000 -160,000 -160,000

Therefore, the Maximin decision is that Susan should build a small gas station due to the largest value of row minimums.

For the equally likely decision, we would find the row average:

Row 1 = (50,000 + 20,000 - 10,000)/3 = 20,000.

Row 2 = (80,000 + 30,000 - 20,000)/3 = 30,000.

Row 3 = (100,000 + 30,000 - 40,000)/3 = 30,000.

Row 4 = (300,000 + 25,000 - 160,000)/3 = 55,000.

Hence, the equally likely decision is that Susan should build a very large gas station due to the largest value of row average.

Read more on decision making here: brainly.com/question/13171394

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Complete Question:

Even though independent gasoline stations have been having a difficult time, Susan has been thinking about starting her own independent gasoline station. Susan’s problem is to decide how large her station should be. The annual returns will depend on both the size of her station and a number of marketing factors related to the oil industry and demand for gasoline. After a careful analysis, Susan developed the following table:

a. Develop a decision table for this problem

b. What is the maximax decision?

c. What is the maximin decision?

d. What is the equally likely decision?

8 0

2 years ago