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Mariulka [41]
2 years ago
7

Marie mixes 20 liters of 12% acid solution with a 36% acid solution to make a 20% acid solution. How many liters of 36% solution

did she use?
Mathematics
1 answer:
kykrilka [37]2 years ago
6 0
Use c1v1+c2v2=c3v3
where c=concentration, v=volume.

C1=0.12
V1=20 L
C2=0.36
V2=X
C3=0.20
V3=20+X L

Substitute in equation
0.12(20) + 0.36X = 0.20(20+X)
Expand 
2.4 + 0.36X = 4 + 0.2X
Simplify
(0.36-0.2)X = 4-2.4
0.16X = 1.6
X=1.6/0.16 = 10 L

check:
0.12(20)+0.36(10)=2.4+3.6=6.0
(20+10)*0.20 = 6.0  so solution is good.

Answer: Volume of 36% solution is 10L
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Answer:

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Step-by-step explanation:

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<u>Given that,</u>

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∴ radius ⇒ <em>l / 2</em>

<u>Let us find it now.</u>

Area = \frac{1}{2} × π × r²

Area =  \frac{1}{2} × π × (\frac{l}{2} )^{2}

<u>                                                     </u>

Secondly, let us find the area of the rectangle.

Area = length × width

<u>Given that,</u>

length ⇒ <em>l</em>

width ⇒ w

<u>Let us find it now.</u>

Area = length × width

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For the first field, he will need 40 m for the fence, this will cost £640 and he can have 10 sheep. For the second field, he will need 60 m for the fence, this will cost  £960 and he can have 12 sheep.

<h3>What does this problem require?</h3>

This problem requires you to calculate the perimeter and area of each field and based on this information you can find the total of the fence the farmer requires, the cost, and the number of sheep.

<h3>How to calculate the perimeter?</h3>

You can calculate the perimeter by adding all the sides.

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<h3>How to calculate the area?</h3>

To calculate the area, multiply the height by the width.

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The fencing needed is equal to the perimeter.

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Multiply the number of meters needed by the price per meter ( £16 per meter).

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<h3>How many sheep can there be in each field?</h3>

To calculate this divide the area into the space required by each sheep (10m2).

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Note: This question is incomplete; here is the missing information:

Farmer Gump has two problems. His first problem is to work out how much fencing he needs to buy for his fields so his sheep don’t escape. His second problem is to work out how many sheep each field can hold—each sheep needs a minimum of 10m² of grass!

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The fence is £16 per meter.

Learn more about perimeter in: brainly.com/question/6465134

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