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Fantom [35]
4 years ago
8

Determine the number of units of solution 2 required to obtain the desire percent alcohol concentration of the final solution. T

hen find the amount of the final solution. Concentration solution 1 is 10%. Amount of solution for 1 is 2gal. Concentration of solution 2 is 30% what is the amount for solution 2?
Mathematics
1 answer:
KiRa [710]4 years ago
8 0

Answer:

0.66 gal.

Step-by-step explanation:

The following should apply:

C1 * V1 = C2 * V2

we have that C1 is 0.1, that C2 is 0.3 and that V1 is equal to 2 gal

replacing the values we have that:

0.1 * 2 = 0.3 * V2

reorganizing the equation we have:

V2 = 0.1 * 2 / 0.3 solving this remains 0.66.

It means that the amount of solution 2 is 0.66 gal.

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nata0808 [166]

Answer:

A=x^2+12x+27\ units^2

Step-by-step explanation:

we know that

The area of the model is equal to the area of a rectangle

The area of a rectangle is equal to

A=LW

we have

L=x+9\ units

W=x+3\ units

substitute

A=(x+9)(x+3)

Apply distributive property

A=x^2+3x+9x+27

Combine like terms

A=x^2+12x+27\ units^2

4 0
4 years ago
20. What is the solution to the equation By -2(y + 1)-3(y-2) + 6?
Afina-wow [57]
The answer is C; -2 as -5y+10 is y=-2
7 0
3 years ago
Amy has four more 20c coins than 5c coins. The total value of all her 20c and 5c is $3.80. How many 5c coins does Amy have?
skelet666 [1.2K]

Answer:

Amy has 12 5¢ coins

Step-by-step explanation:

Let <em>x</em> represent 20¢ coins and <em>y</em> represent 5¢ coins.

Amy has four more 20¢ coins than 5¢ coins. Hence:

x=y+4

And the total value of all her coins is $3.80. Thus:

0.2x+0.05y=3.8

This yields a system of equations:

\displaystyle \begin{cases} x=y+4 \\ 0.2x+0.05y=3.8\end{cases}

We can solve by substitution. Substitute the first equation into the first:

\displaystyle 0.2(y+4)+0.05y=3.8

Distribute:

\displaystyle 0.2y+0.8+0.05y=3.8

Combine like terms:

\displaystyle 0.25y = 3

And divide both sides by 0.25. Hence:

y=12

Thus, Amy has 12 5¢ coins.

Using the first equation:

x=y+4

Substitute:

x=(12)+4=16

Thus, Amy has 16 20¢ coins.

In conclusion, Amy has 12 5¢ coins and 16 20¢ coins.

6 0
3 years ago
MPQ = 121°. What is m&lt;POQ? Enter your answer in the box.​
goldfiish [28.3K]
<h3>Answer: 121</h3>

Reason:

The central angle is the same measure as the arc it subtends.

3 0
3 years ago
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Debora [2.8K]

Answer:

h(10) = -4

Step-by-step explanation:

h(x) = 6 – X

Let x= 10

h(10) = 6-10

h(10) = -4

5 0
3 years ago
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