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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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Factor: X^3 + 216 <br><br> also, what kind of favoring is this called?
kondaur [170]

Answer:

Step-by-step explanation:

a³+b³=(a+b)(a²-ab+b²)

x³+216=x³+6³=(x+6)(x²-6x+6²)=(x+6)(x²-6x+36)

5 0
3 years ago
Which of the following is a valid comparison between the possible minimum and maximum values of the function y = -x2 + 4x - 8 an
Arturiano [62]

Answer:

The maximum value of the equation is 1 less than the maximum value of the graph

Step-by-step explanation:

We have the equation y=-x^2+4x-8.

We can know that this graph will have a maximum value as this is a negative parabola.

In order to find the maximum value, we can use the equation x=\frac{-b}{2a}

In our given equation:

a=-1

b=4

c=-8

Now we can plug in these values to the equation

x=\frac{-4}{-2} \\\\x=2

Now we can plug the x value where the maximum occurs to find the max value of the equation

y=-(2)^2+4(2)-8\\\\y=-4+8-8\\\\y=-4

This means that the maximum of this equation is -4.

The maximum of the graph is shown to be -3

This means that the maximum value of the equation is 1 less than the maximum value of the graph

6 0
3 years ago
HELP ASAP! Which of the following tables represents a linear function?
____ [38]

Table A, B and D are represents a linear function.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

There are 4 tables.

Now,

For Table A;

The equation of line is,

⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)

⇒ y - 5 = (2 - 5) / (- 1 - (-2))  (x - (-2))

⇒ y - 5 = - 3/1 (x + 2)

⇒ y - 5 = - 3 (x + 2)

⇒ y - 5 = - 3x - 6

⇒ y = - 3x - 1

For Table B;

The equation of line is,

⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)

⇒ y - 5 = (3 - 5) / (- 1 - (-2))  (x - (-2))

⇒ y - 5 = - 2/1 (x + 2)

⇒ y - 5 = - 2 (x + 2)

⇒ y - 5 = - 2x - 4

⇒ y = - 3x + 1

For Table C;

The equation of line is,

⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)

⇒ y - (-2) = (- 1 - (-2)) / (3 - 3)  (x - 3)

⇒ y + 2 = 1/0 (x + 2)

⇒ y - 5 = ∞

Hence, It is not possible.

For Table D;

The equation of line is,

⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)

⇒ y - 0 = (-1 - 0) / ( 1 - 0)  (x - 0)

⇒ y - 0 = - 1/1 (x)

⇒ y = - x

Thus, Table A, B and D are represents a linear function.

Learn more about the equation of line visit:

brainly.com/question/18831322

#SPJ1

5 0
1 year ago
Convert the expression to radical form. 8(1/2)x(1/2)y(3/4) A) 8xy3 B) 2xy 2xy2 C) 2x2y3 D) 2 4x2y3
UNO [17]
Your answer should be B : ) 




I hope this helps!





please mark this as the brainliest 
7 0
4 years ago
Sterday, a movie theater sold 262 bags of popcorn. a large bag of popcorn costs ​$3. a small bag of popcorn costs ​$1. in​ all,
Dafna11 [192]
They sold 187 small bags and 75 large bags.

Two variables L and S (large & small)

We know that L + S = 262  -> the amount of bags sold

We also know that 3L + 1S = $412 -> total money made

L = 262 - S 

Plug that into the second equation:

3(262 - S) + 1S = 412

786 - 3S + 1S = 412

786 - 2S = 412
786 - 412 = 2S
374 = 2S
S = 187
187 small bass and 
So they sold 187 small bags

L = 262 - 187 = 75 

They sold 75 large bags.


4 0
3 years ago
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