A bag contains 8 blue marbles 5 red marbles and 2 orange marbles , Carolina picks a marble from the bag at random and returns it to the bag and makes a second random selection . What is the probability that two blue marbles were selected

Answers

Answer 1

Answer: Initial total number of marbles: 8 + 5 + 2 = 15
Initial number of blue marbles: 8

First pick:
p(blue marble) = 8/15

Since the marble from the first pick is returned to the bag, the bag still contains 8 blue marbles and a total of 15 marbles.

Second pick:
p(blue marble) = 8/15

Overall:
p(blue marble followed by blue marble) =
= p(blue marble) * p(blue marble)
= 8/15 * 8/15
= 64/225

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Solve and SHOW YOUR WORK for the equation 3(4x – 2) = 9 + 2x + 5
For which function will both ordered pairs (3, 6) and (4, 8) be solutions?y = x + 3 y = 2x y = x + 4 y = 12 - x
Which represents the inverse of the function f(x) = 4x?h(x) = x + 4h(x) = x - 4h(x) = 2xh(x) = IX
Convert 5.764764764 … to a rational expression in the form of a over b, where b ≠ 0

Consider the points A (-16, 39), B(4, 3) and C (9, -6):
Find the slope of AB.

Answers

Answer:

$(-9)/(5)$

Step-by-step explanation:

$(3-39)/(4-(-16))$ ⇒ $(-36)/(20)$ ÷ $(2)/(2)$ = $(-9)/(5)$

Find the value of y.

Answers

You're working with two right triangles here.

The big one is the whole drawing. It's lying flat on its hypotenuse.
One side of the big triangle ... the left side ... has no label.
We'll be working with that side. Let's call it ' S ' .

The smaller triangle is the left piece of the big one.
Its height is 'y', and its base is 4. ' S ' is its hypotenuse.

Go to your toolbox and pull out the little box marked "Pythagoras".
Inside that box is the equation you need in order to work on this
problem, or any problem with right triangles. The equation is ...

   (hypotenuse)² = (length of one leg)² + (length of the other leg)² .

In the big triangle, 'x' is one leg, and the hypotenuse is 16 .

   (16)² = x² + S²

   256 = x² + S²

Subtract x² from each side:    S² = 256 - x²

Take the square root of each side: S = √(256 - x²)
___________________________________

Now look at the small right triangle.

One leg is 4. The other leg is 'y'. The hypotenuse is ' S '.

S² = (4)² + y²

Subtract 16 from each side: y² = S² - 16

Writer in the value of S² that
we worked out before: y² = (256 - x²) - 16 .

   y² = 240 - x²

Take the square root
of each side: y = √(240 - x²) .

That's what you're supposed to find. So we're done.
_________________________________________

Oh phooey !   Sometimes I am so stupid.

Forget almost everything I did up above, and
let's back up several steps:

==> Cut the picture along the line marked 'y', and throw away
   the left piece, with the '4' on the bottom. We don't need it.

-- Now you have a right triangle that I didn't even notice before.
   One leg is 12. The other leg is 'y'. The hypotenuse is 'x'.

Pythagoras says:    (x²) = (12²) + (y²)

Subtract 12² from each side: y² = x² - 144

Take the square root of each side: y = √(x² - 144) .

We know that the shortest leg of the largest right triangle (hypotenuse length 16) has a length of the square root of (y^2 + 16) through the pythagoras theorem. We also know that x is equal to the square root of (144 + y^2) as well. Finally, we know that 256 = (y^2 + 16) + (y^2 + 144), since we use the pythagoras theorem one last time and square each of the values we have got for the two legs of the largest right triangle. Therefore, 256 = 2y^2 + 160, 96 = 2y^2, 48 = y^2, y= sqrt48 = 4sqrt3 = $4√(3)$ .

There are about 2.2 pounds in one kilogram. If Miguel's bag weighs37.4 kilograms, about how many pounds does it weigh? Did you multiply

or divide to find your answer? my last points help ASAP

Answers

Answer:

82.28

Step-by-step explanation:

1kg=2.2 pounds

$37.4 * 2.2 = 82.28$

What is the coefficient of x in the division (18x^3+12x^2-3x)/6x^2?A.
3

B.
2

C.
-0.5

D.
-3

Answers

Answer:

Step-by-step explanation:

Given : $(18x^3+12x^2-3x)/(6x^2)$

To Find: What is the coefficient of x in the division

Solution:

$(18x^3+12x^2-3x)/(6x^2)$

On Dividing we

Quotient = 3x+2

Remainder = -3x

So, coefficient of x in quotient = 3

Thus the coefficient of x in the division $(18x^3+12x^2-3x)/(6x^2)$ is 3

Hence Option A is correct

That would be A.... when you divide the trinomial in bracket by the $6x^(2)$ you will realize that the coefficient of the x is 3. If you want me to send a picture of the division please indicate.

⚠️I NEED THE ANSWER RIGHT NOW!! I WILL GIVE BRAINLIST!⚠️Subtract 5/6−(-4/9).

1 5/18

7/18

-7/18

-1 5/18

Answers

Answer:

15/18+8/18

23/18=15/18

Step-by-step explanation:

Hello!

Your answer is A. or 1 5/8!

Hopefully this helps! :D

Solve by factoring by grouping 5k^2-2k-7=9

Answers

$5k^2-2k-7=9 \n \n 5k^2 - 2k - 7 - 9 = 0 \n \n 5k^2 - 2k - 16 = 0 \n \n 5k^2 + 8k - 10k - 16 = 0 \n \n k(5k + 8) - 2(5k + 8) = 0 \n \n (5k + 8)(k - 2) = 0 \n \n k = - (8)/(5) , 2 \n \n$

The final result is: k = -8/5, 2.

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