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Jet001 [13]
3 years ago
12

A pharmacist needs 100 gallons of 50% alcohol solution. She has available a 30% solution and an 80% solution. How much of each s

hould she use?
Mathematics
2 answers:
Salsk061 [2.6K]3 years ago
8 0

Answer:

25

Step-by-step explanation:


Aneli [31]3 years ago
7 0
<h3>Answers: </h3><h3>Use <u>60 gallons</u> of the 30% solution</h3><h3>Mix with <u>40 gallons</u> of the 80% solution</h3>

===============================

Work Shown:

x = amount of the 30% solution (in gallons)

y = amount of the 80% solution (in gallons)

The two amounts must add to 100 as this is the total we want, so x+y = 100 which becomes y = 100-x after subtracting x from both sides

The expression 0.30*x represents the amount of pure alcohol from the first batch, while 0.80*y represents the amount of pure alcohol from the second batch. In total, we have 0.30*x+0.80*y gallons of pure alcohol. We want 50 gallons of pure alcohol (50% of 100 gallons is 50 gallons), therefore we end up with this equation: 0.30*x+0.80*y = 50

Let's use substitution to isolate the variables.

0.30*x+0.80*y = 50

0.30*x+0.80*(100-x) = 50 ... replace y with 100-x

0.30*x+0.80*(100)+0.80*(-x) = 50 ... distribute

0.30*x+80-0.80x = 50

-0.50*x+80 = 50

-0.50*x+80-80 = 50-80 ... subtract 80 from both sides

-0.50*x = -30

x = -30/(-0.50) .... divide both sides by -0.50

x = 60

If x = 60, then y is...

y = 100-x

y = 100-60

y = 40

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The answer would be B.

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Anika [276]

Answer:

A

Step-by-step explanation:

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5 0
3 years ago
Read 2 more answers
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Answer:

Sin 5/13

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Step-by-step explanation:

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3 years ago
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professor190 [17]

Answer:

a. 24

b. 2

c. 0.0833 = 8.33%

Step-by-step explanation:

a.

The first "slot" of person to arrive has 4 possibilities, then the second "slot" will have 3 possibilities, as one has already arrived, then the third "slot" has 2 possibilities, and the fourth "slot" has just 1 possibility.

So, multiplying all these combinations, we have 4*3*2*1 = 24 possible ways they can arrive

b.

If the first and the last person are already "locked", we just have possibilities for the second and third person. The second will have 2 possibilities (Sergio or Tyrone), and the third will have only 1 (the person that wasn't the second between Sergio and Tyrone). So, the number of possibilities is 2*1 = 2

c.

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3 years ago
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Alex Ar [27]

Answer:

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Step-by-step explanation:

Which is not true?

So, lets assess the answers given to the question.

A. It is the equation of a horizontal line.

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B. It's slope is zero, yes the slope is zero. It only lists the y-intercept which confirms that the slope is 0.

C. Yes, I mean i can't really explain how. Just use desmos calculator, the graph is exactly perpendicular.

D. The line actually does cross the x-axis, -4 is the y intercept and the x value is 0, and zero is still a point. So D is the one which isn't correct making it the correct answer.

6 0
3 years ago
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