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Dmitrij [34]
3 years ago
11

A bag contains 3 blue marbles, 7 red marbles, and 5 yellow marbles. If Joe picks 1 marble from the bag at random, what is the pr

obability that it will be blue?
Mathematics
2 answers:
fomenos3 years ago
3 0
You just add all the marbles which is 15 marbles. Then how many blue ones are there 3. So you just do blue out of the whole. So your answer is 3/15
nalin [4]3 years ago
3 0

Answer:  0.2

Step-by-step explanation:

Given : The number of blue marbles =3

The total number of marbles = 3+7+5=15

Now, If Joe picks 1 marble from the bag at random,  then the probability that it will be blue :-

\text{P(Blue)}=\dfrac{\text{Number of blue marbles}}{\text{Total marbles}}\\\\\=\dfrac{3}{15}=\dfrac{1}{5}=0.2

Hence, the probability that it will be blue  = 0.2

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Please could you explain this step by step I’m really stuck.
allochka39001 [22]

Answer:

x = -2.5
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Step-by-step explanation:

Hello!

We can remove the denominators by multiplying everything by it.

Solve:

  • \frac{5}{x + 3} + \frac4{x + 2} = 2
  • 5 + \frac{4(x + 3)}{x + 2} = 2(x + 3)
  • 5 + \frac{4x + 12}{x + 2} = 2x + 6
  • 5(x + 2) +4x + 12 = (2x + 6)(x + 2)
  • 5x + 10 + 4x + 12 = 2x^2 + 6x + 4x + 12
  • 9x + 22 = 2x^2 + 10x + 12

Let's make one side equal to 0.

  • 0 = 2x^2 + x - 10

Solve by factoring, and then the zero product property.

  • 0 = 2x^2 + x - 10\\

Multiply 2 and -10. You get -20. Think of two number that multiply to -20, and add to 1. If we think about the standard form of a quadratic, ax^2 + bx + c, think two numbers that equal "ac" and add up to "b".

  • 0 = 2x^2 - 4x + 5x - 10
  • 0 = 2x(x - 2) + 5(x - 2)
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Using the zero product property, set each factor to 0 and solve for x.

  1. 2x + 5 = 0
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  2. x - 2 = 0
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The two answers are x = -2.5, and x = 2.

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Answer:

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Step-by-step explanation:

180/6 = 30.

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