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3 years ago

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nicholas poured 1.5 liters of water in an empty flask and placed the flask outside.if 0.27 liters of water evaporates,how many l

iters of water will remain in the flask?

1 answer:

Nat2105 [25]3 years ago

7 0

1.50 - 0.27 = 1.23 liters

Your answer is 1.23 liters will remain.

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(-6, -6) and (-2,-2)

Arada [10]

Answer:

1

Step-by-step explanation:

Come on man. Slope is easy. You got this.

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3 years ago

Which of the points is a solution to the following system of equations? -5x- 3/2y=15 3x+5/6 y=-44/3

tatiyna

<em>Note: Your question sounds a little unclear, but I am assuming that your system of equations is:</em>

$-5x-\:\frac{3}{2}y=15$

$3x+\frac{5}{6}y=-\frac{44}{3}$

It would anyways clear your concept because the procedure to find the solutions remains the same for any set of a system of equations.

Answer:

The solution of the system of equations be:

$x=-\frac{57}{2},\:y=85$

Step-by-step explanation:

Given the system of equations

$-5x-\:\frac{3}{2}y=15$

$3x+\frac{5}{6}y=-\frac{44}{3}$

solving the system of equations

$\begin{bmatrix}-5x-\frac{3}{2}y=15\\ 3x+\frac{5}{6}y=-\frac{44}{3}\end{bmatrix}$

$\mathrm{Multiply\:}-5x-\frac{3}{2}y=15\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:-15x-\frac{9}{2}y=45$

$\mathrm{Multiply\:}3x+\frac{5}{6}y=-\frac{44}{3}\mathrm{\:by\:}5\:\mathrm{:}\:\quad \:15x+\frac{25}{6}y=-\frac{220}{3}$

so the system of equations becomes

$\begin{bmatrix}-15x-\frac{9}{2}y=45\\ 15x+\frac{25}{6}y=-\frac{220}{3}\end{bmatrix}$

adding the equations

$15x+\frac{25}{6}y=-\frac{220}{3}$

$+$

$\underline{-15x-\frac{9}{2}y=45}$

$-\frac{1}{3}y=-\frac{85}{3}$

so

$\begin{bmatrix}-15x-\frac{9}{2}y=45\\ -\frac{1}{3}y=-\frac{85}{3}\end{bmatrix}$

solving $-\frac{1}{3}y=-\frac{85}{3}$ for y

$-\frac{1}{3}y=-\frac{85}{3}$

Multiply both sides by -3

$\left(-\frac{1}{3}y\right)\left(-3\right)=\left(-\frac{85}{3}\right)\left(-3\right)$

$y=85$

$\mathrm{For\:}-15x-\frac{9}{2}y=45\mathrm{\:plug\:in\:}y=85$

$-15x-\frac{9}{2}\cdot \:85=45$

$\mathrm{Add\:}\frac{765}{2}\mathrm{\:to\:both\:sides}$

$-15x-\frac{765}{2}+\frac{765}{2}=45+\frac{765}{2}$

$-15x=\frac{855}{2}$

$\mathrm{Divide\:both\:sides\:by\:}-15$

$\frac{-15x}{-15}=\frac{\frac{855}{2}}{-15}$

$x=-\frac{57}{2}$

Therefore, the solution of the system of equations be:

$x=-\frac{57}{2},\:y=85$

7 0

3 years ago

What is the quotient of the polynomials shown below?<br>(12x^3+14x^2 +9)÷(2x+3)<br>

Phoenix [80]

Answer:

Option D is correct.

Step-by-step explanation:

We need to find the quotient of the polynomials:

$(12x^3+14x^2 +9)\div(2x+3)\\$

The division is shown in the figure attached.

The quotient is: 6x^2-2x+3

The remainder is: 0

So, Option D is correct.

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3 years ago

Two cards are chosen at random without replacement what is the probability of getting two aces

VARVARA [1.3K]

4/52 chance of getting an ace.

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4 years ago

Is<br> sto<br> 40<br> w<br> &<br> 7=<br> 11<br> Z<br> ws

FromTheMoon [43]

Answer:

I don't understand your question but thanks for the points ;) Kinda sucks when someone does it to you, right? Maybe you should stop commenting it on other people's questions so they can get the help they need

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3 years ago

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