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Naddik [55]
4 years ago
11

Please help!

Mathematics
2 answers:
Lynna [10]4 years ago
8 0

Answer:

4 liters of 5% solution and 16 liters of 17.5% solution we need.

Step-by-step explanation:

Let us assume that x liters of 5% solution and y liters of 17.5% solution are taken.

So, x + y = 20 ........ (1)

As the final solution is of 15%, so we can write

⇒ 5x + 17.5y = 300 ......... (2)

Now, solving equations (1) and (2)  we get,  

17.5y - 5y = 200

⇒ 12.5y = 200

⇒ y = 16 liters

Hence, x = 20 - y = 4 liters.

Therefore, 4 liters of 5% solution and 16 liters of 17.5% solution we need. (Answer)

aleksklad [387]4 years ago
4 0

Answer:

4 liters of 5% solution and 16 liters of 17.5% solution we need.

Step-by-step explanation:

Let us assume that x liters of 5% solution and y liters of 17.5% solution are taken.

So, x + y = 20 ........ (1)

As the final solution is of 15%, so we can write

\frac{\frac{5x}{100}+ \frac{17.5y}{100}}{x + y} = \frac{15}{100}

⇒ 5x + 17.5y = 300 ......... (2)

Now, solving equations (1) and (2)  we get,  

17.5y - 5y = 200

⇒ 12.5y = 200

⇒ y = 16 liters

Hence, x = 20 - y = 4 liters.

Therefore, 4 liters of 5% solution and 16 liters of 17.5% solution we need. (Answer)

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In circle P, EG and FH are diameters.<br> What is m EH?
zvonat [6]

Answer:

m(\widehat{EH}) = 130°

Step-by-step explanation:

Angles subtended at the center by the arcs (\widehat{HG}) and (\widehat{EF}) are ∠HPG and  ∠EPF.

Since these angles are the vertical angles both will be equal.

m∠HPG ≅ m∠EPF

3x - 10 = 2x + 10

3x - 2x = 10 + 10

x = 20

Therefore, m(\widehat{HG})=(3\times 20) - 10

                               = 50°

Similarly m(\widehat{EF}) = 50°

In the same way angles subtended at the center will be equal.

m∠EPH ≅ m∠FPG

and m(\widehat{EH})=m(\widehat{FG})

Since m(\widehat{EH})+m(\widehat{FG})+m(\widehat{EF})+m(\widehat{HG})=360°

m(\widehat{EH})+m(\widehat{EH})+50+50=360

2m(\widehat{EH})=360-100

m(\widehat{EH})=130

Therefore, measure of arc EH = 130°

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Step-by-step explanation:

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