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Inessa05 [86]
3 years ago
6

How many milliliters of a 12% alcohol solution and how many milliliters of a 30% alcohol solution must be mixed to obtain 72 ml

of a 20% alcohol solution?
Mathematics
1 answer:
Tpy6a [65]3 years ago
3 0

Target concentration = 20%.

Ratio of 12% and 30% alcohols needed

30-20 : 20-12 = 10:8 = 5:4


Volume of 12% = 72 mL * (5/(5+4)) = 40 mL

Volume of 30% = 72 mL *(4/(5+4)) = 32 mL

Total = 40+32 = 72 mL of 20%

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Answer:

Huh

Step-by-step explanation:

6 0
3 years ago
what is the polynomial function of lowest degree with leading coefficient of 1 and roots 2 and 1 + square root2
Marta_Voda [28]
If the roots to such a polynomial are 2 and 1+\sqrt2, then we can write it as

(x-2)(x-(1+\sqrt2))

courtesy of the fundamental theorem of algebra. Now expanding yields

(x-2)(x-1-\sqrt2)=x^2-2x-(1+\sqrt2)x+2(1+\sqrt2)=x^2-(3+\sqrt2)x+2+2\sqrt2

which would be the correct answer, but clearly this option is not listed. Which is silly, because none of the offered solutions are *the* polynomial of lowest degree and leading coefficient 1.

So this makes me think you're expected to increase the multiplicity of one of the given roots, or you're expected to pull another root out of thin air. Judging by the choices, I think it's the latter, and that you're somehow supposed to know to use 1-\sqrt2 as a root. In this case, that would make our polynomial

(x-2)(x-(1+\sqrt2))(x-(1-\sqrt2))=x^3-4x^2+3x+2

so that the answer is (probably) the third choice.

Whoever originally wrote this question should reevaluate their word choice...
5 0
3 years ago
THIS IS DUE IN LIKE 5 MINUTES I WILL GIVE YOU BRAIN THING IF ITS CORRECT PLEASE HELP NO LINKS THIS IS VERY IMPORTANT I WILL GIVE
Fiesta28 [93]
A. 30 sixth graders

b. 12 sixth graders

c. If the school has 40 students and the total of students is 70, the number of sixth graders is x

d. 36 students
5 0
2 years ago
What is 1/2(4x+14)=2(x-7)
GREYUIT [131]

Answer:

no solution

Step-by-step explanation:

1/2(4x+14)=2(x-7)

Multiply both sides by 2.

4x + 14 = 4(x - 7)

4x + 14 = 4x - 28

Subtract 4x from both sides.

14 = -28

Since 14 = -28 is a false statement, there is no solution for this equation.

Answer: no solution

8 0
3 years ago
BRAINLYYYY PLUS 100 PointsThe difference between two numbers is 84 and their sum is 278. What are the numbers? Hint( answer is x
den301095 [7]

Answer:

x = 181 and y = 97

Step-by-step explanation:

let called the first number is x

the second number would be called y

We are given that:

x + y = 278 (1)

x = y + 84 (2)

Let change x in (2) into (1):

y + 84 + y = 278

2y + 84 = 278

Subtract 84 from both side, we got:

2y + 84 - 84 = 278 - 84

2y + 0 = 194

Divide both side by 2, we got:

2y / 2 = 194 / 2

y = 97

Because y = 97 and x + y = 278 so x would equal:

x + 97 = 278

Subtract 97 from both side, we got:

x + 97 - 97 = 278 - 97

x + 0 = 181

x = 181 and y = 97

Hope this helped :3

4 0
3 years ago
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