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Vika [28.1K]
2 years ago
11

In the lab, Teresa has two solutions that contain alcohol and is mixing them with each other. She uses 4 times as much

Mathematics
2 answers:
Mila [183]2 years ago
8 0

Answer:

Step-by-step explanation:

Assume as a basis  the final mixture is 1000 mL.  That means 399 mL of alcohol

Let x = mL of Soln A and y = mL of soln B.

x = 2y.

Now x + y = 1000

and  0.2x + 0.17y = 399

but x = 2y so 0.4y + 0.17y = 399

0.57y = 399.

y = 700 mL  (That is your mL of solution B)

Klio2033 [76]2 years ago
3 0
The Answer is 4,666.66667 just to let u know I’m not considered with the answer
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Simplify<br> 7x + 2y - 3x + 4y<br><br> Factorise<br> 10x - 15<br><br> Solve<br> 5p = 3p + 8
vlada-n [284]

Answer:

1. x = -1.5y

2. 5 (2x-3)

3. p = 4

Step-by-step explanation:

1) Simplifying

7x + 2y + -3x + 4y = 0

Reorder the terms:

7x + -3x + 2y + 4y = 0

Combine like terms: 7x + -3x = 4x

4x + 2y + 4y = 0

Combine like terms: 2y + 4y = 6y

4x + 6y = 0

Solving

4x + 6y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6y' to each side of the equation.

4x + 6y + -6y = 0 + -6y

Combine like terms: 6y + -6y = 0

4x + 0 = 0 + -6y

4x = 0 + -6y

Remove the zero:

4x = -6y

Divide each side by '4'.

x = -1.5y

Simplifying

x = -1.5y

2)

Common factor

10x - 15

5 (2x-3)

3) Simplifying

5p = 3p + 8

Reorder the terms:

5p = 8 + 3p

Solving

5p = 8 + 3p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-3p' to each side of the equation.

5p + -3p = 8 + 3p + -3p

Combine like terms: 5p + -3p = 2p

2p = 8 + 3p + -3p

Combine like terms: 3p + -3p = 0

2p = 8 + 0

2p = 8

Divide each side by '2'.

p = 4

Simplifying

p = 4

7 0
2 years ago
Determine whether the polynomial below can be factored into perfect squares. If so, factor the polynomial. Otherwise, select tha
kkurt [141]

Answer:

A. =(9x-12)^2

Step-by-step explanation:

We need to determine whether the polynomial 81x^2-216x+144 can be factored into perfect squares. If so, factor the polynomial. Otherwise, select that it cannot be factored into a perfect square.

81x^2-216x+144

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=9(3x-4)^2

=3^2(3x-4)^2

=(3(3x-4))^2

=(9x-12)^2

Hence choice A. =(9x-12)^2 is correct.

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3 years ago
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Answer:

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Step-by-step explanation:


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Figure b is a scaled copy of figure a. help?
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