Can someone help please!!

Answer:

66.67 ml of 5% solution and 133.33 ml of 6.5% solution are mixed.

Step-by-step explanation:

Let 200 ml of 6% solution is formed by mixing x ml of 5% solution and y ml of 6.5% solution.

We can write the equation x + y = 200 ........ (1)

Now, x ml of 5% solution will contain ml of acid  

Again, y ml of 6.5% solution will contain ml of acid.

So, mixing them together will give (0.05x + 0.065y) ml of acid in 200 ml of solution.

So, from the condition given we can write  

⇒ 0.05x + 0.065y = 12  

⇒ x + 1.3 y = 240 ........... (2) {Dividing both sides by 0.05}

Now, solving equations (1) and (2), we get

0.3y = (240 - 200) = 40

⇒ y = 133.33 ml  

From equation (1) we get, x = 200 - 133.33 = 66.67 ml

Therefore, 66.67 ml of 5% solution and 133.33 ml of 6.5% solution are mixed. (Answer)

Answer:

The equation line is y + 3x = -10.

Step-by-step explanation:

In this question, first we have to find the slope of the equation:

The formula which we use to find the slope is:

slope = m = (y2-y1)/(x2-x1)

m = (8 + 1) / (-6 + 3)

m = 9 / (-3)

m = -3.

Now, put the value of slope and the first points (-3, -1). You can use any of the given points:

y - y1 = m(x - x1)

y + 1 = -3(x + 3)

y + 1 = -3x - 9

y + 3x = -10

This is the eqution line.

You can check if this line is true or not by putting the other points in this equation which will give the same points like,

y + 3(-6) = -10

y - 18 = -10

y = 8

So, we get the same old points (-6, 8) which we have given.

Answer:

D. Rectangle

Step-by-step explanation:

If you cut the pyramid with a plane parallel to the base, a square is obtained. If the plane is perpendicular to the base, you can obtain two different figures; if the plane passes through the vertex, a triangle is obtained, but if it doesn't pass through the vertex, a trapezoid is obtained.

Answer:

D. Rectangle

Step-by-step explanation:

Answer:

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Step-by-step explanation:

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