Jenna has a bag that contains 7 red marbles and 25 blue marbles. She selects a marble at random, and then, without replacing the first one, selects another marble at random. What is the probability that Jenna selects a blue marble and then a red marble? Round your answer to the nearest percent. P(blue and red) ≈ %

Answers

Answer 1

Answer: 17.6%=D so go get 100% bud

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Find the points where the line y = x - 1 intersects the circle x2 + y2 = 13

Answers

Answer:

$\large \boxed{(-2,-3) \text{ and } (3, 2)}$

Step-by-step explanation:

1. Solve the equations for x

$\begin{array}{lrcll}(1) & y & = & x - 1 & \n(2) & x^(2) + y^(2) &= &13& \n& x^(2) + (x - 1)^(2) &= & 13& \text{Substituted (1) into (2)}\n& x^(2) + x^(2) -2x +1 & = & 13 & \text{Squared (x - 1)} \n&2x^(2) -2x +1 & = & 13 & \text{Combined like terms} \n\end{array}\n$

$\begin{array}{lrcll}&2x^(2) -2x - 12 & = & 0 & \text{Subtracted 13 from each side}\n&x^(2) - x - 6 & = & 0 & \text{Divided each side by 2}\n& (x - 3)(x + 2) & = & 0 & \text{Factored the left-hand side} \n& x - 3 = 0 & \text{or} & x + 2 = 0 & \text{Applied zero product rule} \n& \mathbf{x = 3} & \text{or} & \mathbf{x = -2} & \text{Solved each equation separately} \n\end{array}$

2. Calculate the corresponding values of y

Insert the values into equation (1)

(a) x = 3

y = 3 - 1 = 2

One point of intersection is (3, 2).

(b) x = -2

y = -2 - 1 = -3

The second point of intersection is (-2, -3).

$\text{The line intersects the circle at $\large \boxed{\mathbf{(-2,-3)} \text{ and } \mathbf{(3, 2)}}$}$

The diagram shows the intersection of the two graphs.

Answer:

(-2,-3) and (3,2)

Step-by-step explanation:

sub in x-1 into y

x^2 + (x-1)^2 = 13

x^2 + (x-1)(x-1)=13

x^2 + x^2 -2x +1 = 13

2x^2 -2x-12=0

solve for x by factoring (quadratic formula, product sum etc..)

x= -2 and 3

plug in those values into y=x-1 and solve for y

Please help me as soon as possible No comments only the answer

Answers

subtract 36 from both sides and divide both sides to 6
g = -4

I don’t which one it is?

Answers

Answer:

7.351

I don't know how they have rounded; the closest answer is A

Step-by-step explanation:

The only way I know to do this is with the cos law

y^2 = x^2 + z^2 - 2*x*z cos(Y)

x = 22

z = 16

y = ?

I have serious doubts that this will make a triangle. I ran it though a calculator and it does work -- surprise for me. Substitute the givens.

y^2 = 256 + 484 - 2*10*22*cos(13)

y^2 = 740 - 704*cos(13)

y^2 = 740 - 704*0.9744

y^2 = 740 - 685.95

y^2 = 54.05 Take the square root of both sides

y = √54.05

y = 7.351

Answer:

7.4

Step-by-step explanation:

The information given is in from SAS.

This is a job for law of cosines.

This is the law of cosines $a^2=b^2+c^2-2bc cos(A)$

The angle A is opposite side a and b,c are the other sides.

So 13 degrees is opposite the y there.

$y^2=16^2+22^2-2(16)(22)\cos(13)$

Now I'm going to put 16^2+22^2-2*16*22*cos(13) in my calculator:

$y^2=54.04347439$

Now one more step. To get rid of the square, you need to square root both sides:

$y=√(54.04347439)=7.351426691$

Sp the answer is approximately 7.4

The formula for the area of a trapezoid is A=h(b1+b2). Express b1 in terms of A, h, and b2.

Answers

In order to find b1 from your formula stated we need to do few calculations
A=hb1+hb2, as you wee I multiply h with both bases( b1 and b2)
I will subtract hb2 from both sides
hb1=A-hb2
now I will divide my new expression by h
b1=(A-hb2)/h

solve like a regular algebraic expressionA= h(b1+b2)divide both sides by hA/h= b1+b2subtract b2 from both sidesA/h-b2= b1b1= A/h-b2hope this helps

Helena uses a mixture of compost and topsoil in her garden. She purchased a total of 10 cubic yards of compost and topsoil for $180. If compost costs $25 per cubic yard and topsoil costs $15 per cubic yard, how many cubic yards of topsoil did she purchase?A.)3
B.)4.5
C.)5.5
D.)7

Answers

Answer:

7 cubic yard

Step-by-step explanation:

Let the compost purchased be x cubic yard

And the topsoil purchased be y cubic yard

Hence

x+y=10 ----(A)

Also

Cost incurred in buying compost at a rate of $25 per cubic yards = 25x

Cost incurred in buying topsoil at a rate of $15 per cubic yards = 15y

Total cost incurred = 25x+15y=180

Diving whole equation by 5 we get

5x+3y=36 ----(B)

Multiply A by 3 and subtract it from B

5x+3y=36

- - -

3x+3y=30

_______

2x=6

x=3

Putting this value in A

x+y=10

3+y=10

y=10-3=7

Hence she purchased 7 cubic yards of topsoil.

Answer:

to make it short, its D

Step-by-step explanation:

got it right on Edge

What is 10 divided by 11,4660

Answers

the answer is 11466 you basically just take out the 0 at the end and you divide 114660/10

That would be: 0.00087214372

If you meant:
114,660/10=
11,466

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