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From x + 3y = -5, y = -x/3 - 5, so the slope of the line is -1/3. The slope of the new line is also -1/3, so y = -x/3 + B.  Pugging in x = 2 and y = -7, we get -7 = -2/3 + B, so B = -19/3.

Then the line is y = -x/3 - 19/3.  Then 3y = -x - 19, so 3y + x = -19.  We want the right-hand side to be 3, so we mutiply both sides by -3/19: -9/19*y - 3/19*x = 3.  Therefore, A + B = -9/19 - 3/19 = -12/19.

rolling a 2 = 1 / 6

Getting a head = 1 / 2

Probability = 1 /6 x 1 / 2 =1 / 12

(4 π×10^2×0.5^4)/(4 π×1^2×1^4) = 25 / 4 - Ratio of JZ114's energy to the Sun's energy.

I have thrown out my working but 3.75' sounds very familiar.

The boat is 3.5' high 

so that leaves 0.25'

Let Gabriela be G.

We know that in 45 years plus her current age she will be 4 times as old as now, so 45+G=4G.

If we subtract both sides by G, we get 3G=45 and then divide by 3 so her current age is 15.

-MPS101

1. The probability is 1/C(20,3) = 1/1140.

2  nCr(20, 2) = 190 ways of selecting 2 from 20

nCr(10, 1)    =   10 ways of selecting 1 from 10

To find the over all probability of winning,

Calculate the Harmonic Mean (19) and divide by 2

Equivalent to

1/ (1//190 + 1/10) =9.5

So the probability is 1/9.5 = 2/19.

1 pound because she has 12 pounds right now, then on Monday she has 12-4=8. On Tuesday she has 8-3=5. Then on Wednesday, she has 5*3=15. Then on Thursday, she has 15/5=3. Then on Friday, she has 3-3=0. Then on Saturday, she has 0+1=1. So on Sunday, she has 1 pound left.

Gabriela is 15 years old because she is x years old right now, so in 45 years she would be 4 times her age now, so 4x.

Then you set up the equation:

x+45=4x

3x=45

x=15

A right prism has a base that is an equilateral triangle. The height of the prism is equal to the height of the base. If the volume of the prism is 81, what are the lengths of the sides of the base?

Ein rechtes Prisma hat eine Basis, die ein gleichseitiges Dreieck ist. Die Höhe des Prismas entspricht der Höhe der Basis. Wenn das Volumen des Prismas 81 beträgt, wie lang sind die Seiten der Basis?

Hello Guest!

Equilateral triangle ABC

\(h=\sqrt{a^2-(\frac{a}{2})^2}\)

\(V_{prism}=(\frac{ah}{2})h=\frac{ah^2}{2}=81\\ a(a^2- (\frac{a}{2})^2)=81\cdot 2\\ a^3-\frac{a^3}{4}=162\\ 4a^3-a^3=4\cdot 162\)

\(3a^3=648\)

\(a^3=216\)

\(a=6\)

  !

Actually, when I was a guest, CPhill was number one, and that was not seven years ago, and that toxic waste at the ocean is thanks to you, so how about you go clean it up.

x = 9

(9^5) / (3^9) = 59,049 / 19,683 =3

1. (a) FIRST BALL: So the probability of first drawing a black ball or a white ball is both 5/10.

SECOND BALL: The probability of getting a second ball is 4 out of 9 (because you already took a ball), so for both it's 4/9.

To find the probability, of both, you can multiply 5/10 * 4/9, = 2/9. Which is the answer.

(b) You must consider the probability that drawing BB, BWB, WWB, or WWBB.  This gives you a probability of 2/9 + 5/81 + 12/81 + 6/81 = 41/81.

Answer: Step-by-step explanation: From the measure of the length of the sides of the triangle, 9, 40 and 41 we can infer that the triangle is a right angled triangle. 9-40-41 is a Pythagorean triplet. In a right angled triangle, the circumradius is half the hypotenuse. In the given triangle, the hypotenuse = 41. Therefore, the circumradius is 41÷2= 20.5 units.

Right scalene triangle.
Sides: a = 9   b = 40   c = 41

Area: T = 180
Perimeter: p = 90
Semiperimeter: s = 45

An incircle of a triangle is a circle which is tangent to each side. An incircle center is called incenter and has a radius named inradius. All triangles have an incenter, and it always lies inside the triangle. The incenter is the intersection of the three angle bisectors. The product of the inradius and semiperimeter (half the perimeter) of a triangle is its area.

T = rs and

r = T/s =180 / 45 = 4 - The inradius of the triangle.

A sphere of radius 1 and a sphere of radius 2 are inscribed in a right circular cone, as shown below. Find the volume of the cone.

Volume of the cone is:   V = 59.574 u³   

which means he can pass through.

I drew a picture, but do not know how to upload it... i got the answer of the point of the intersection: 3.75 ft and 1.25 ft of clearance... is that correct?

I am impressed with how you have presented your question.

A very nice improvement :)

Here is what you have so far

Please work through this list:

1) Let the overlap of the circles where they both grow be x.

2) In terms of x,   how many in total grow potatos ?

3) In terms of x, how many in total grow sugar beet?

4) Ths sugar beet number is 3 times the potato number. Form an equation for this.

5) Solve the equation to find x.

6) How many farmers are so far accounted for.

7) How many farmers to not grow either one.?

Now I know for a fact that you can answer at least some of these. 

Come back to me with your answers.

-----------------------------

Please no one else butt in unless I am not here AND Tacobell has responded properly.

Firstly see here:

So a 52 card deck, and we want to find the probability of being dealt a king or a black card.

Well, there are 4 kings, hearts, clubs, diamonds, and spades (not in order).

And there are 26 black cards INCLUDING 2 kings.

So it's 26 black cards (including king) + 2 red kings = 28.

So 28/52 OR 7/13 which is the same as EP! 

So basically 1:52:30

You still have not thanked Electric Pavlov for his time.   

Plus you punished him by taking a point from him,  Why would he ever bother to help you again?

And you still have not stated simply that you do not understand or asked him to further explain his answer.

There is a stack of questions here. ElectricPavlov was not out of line by asking you if you had attempted them on your own.

In your defense, he could have avoided saying they are simple.

Obviously something is not simple for someone if they do not know how to do it.

It would be beneficial to you if you come back here and make another more appropriate response post.

And remove your down votes.   I will be watching.

There are 26 black cards  + 2 additional   red kings   for a total of  28 cards  out of 52 which will meet your criteria

28/52 = 7/13

It is the same as the sin of  angle RPQ     

          7/ 25                    since the angles are supplementary (they sum to 180 degrees)