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Allisa [31]
3 years ago
12

A laboratory technician needs to make a 108​-liter batch of a 20​% acid solution. How can the laboratory technician combine a ba

tch of an acid solution that is pure acid with another that is 10​% to get the desired​ concentration?
Mathematics
1 answer:
Gala2k [10]3 years ago
6 0
<span>12 liters of pure acid and 96 liters of 10% acid solution Using mass and component balance: Let x = liters of pure acid and y = liters of 10% acid Mass balance: x + y = 108 Component balance: 100%*x + 10%*y = 20%*108 or x + 0.1y = 21.6 Solving for x and y: x = 12 and y = 96</span>
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Which expression is equivalent to 10x - (8x +3)
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5 0
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&lt; ADF measures 2x degrees and &lt; FDC measures x + 12 degrees. What is the measure
gtnhenbr [62]

Answer:

<h2>Angle ADF is equal to 52° and angle FDC is equal to 38°.</h2>

Step-by-step explanation:

In the image attaches, you can observe that angles ADF and FDC are complementary angles, because they sum 90°.

\angle ADF + \angle FDC = 90\°

And we know that

\angle ADF=2x\\\angle FDC = x+12

Replacing these expressions, we have

2x+x+12=90\°\\3x=90\° - 12\°\\x=\frac{78}{3}\\ x=26

Then, we replace this value in each expression to find both angles measures.

\angle ADF= 2(26)=52\°\\\angle FDC = 26+12=38\°

Therefore, angle ADF is equal to 52° and angle FDC is equal to 38°.

7 0
3 years ago
The top of the desk is shaped like a trapezoid the bases of the trapezoid are 26.5 and 30 cm long the area of the desk is 791 CM
kotegsom [21]

Answer:

28 cm

Step-by-step explanation:

Given that :

Area = 791 cm

Base, b1 = 26.5 cm

Base, b2 = 30 cm

Area, A of trapezoid :

A = 1/2 (a + b) h

Where a and b are the bases ;

791 = 1/2(26.5 + 30)h

791 = 0.5(56.5)h

791 = 28.25h

h = 791 / 28.25

h = 28 cm

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Witch is greater 15/4 or 17/5
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6 0
3 years ago
Read 2 more answers
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