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saul85 [17]
3 years ago
7

When Richards solved the equation 2(x - 5) = 56 + 6(x - 5), he used the distributive property in step one to write an equivalent

equation. What equation did Richard write?
Mathematics
1 answer:
satela [25.4K]3 years ago
4 0

The equivalent equation after applying distributive property will be:

(2*x) - (2*5) = 56 + (6*x) - (6*5)

Further explanation:

Distributive property states that the number is distributed to the sum or difference it is being multiplied to i.e.

a(b+c) = a*b + a*c

So the given equation is:

2(x - 5) = 56 + 6(x - 5)

2 will be distributed to x-5 and 6 will be distributed to x-5

The equivalent equation will be:

(2*x) - (2*5) = 56 + (6*x) - (6*5)\\Simplifying\\2x-10 = 56+6x-30\\2x-6x = 56-30+10\\-4x = 36\\x=-9

Keywords: Equations, Distributive property

Learn more about distributive property at:

  • brainly.com/question/5639299
  • brainly.com/question/2369634

#LearnwithBrainly

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<h2>(a)</h2>

Case 1: both balls are white.

At the beginning we have b+w balls. We want to pick a white one, so we have a probability of \frac{w}{b+w} of picking a white one.

If this happens, we're left with w-1 white balls and still b black balls, for a total of b+w-1 balls. So, now, the probability of picking a white ball is

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The exact same logic leads to a probability of

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Case 1: both balls are white.

In this case, nothing changes between the two picks. So, you have a probability of \frac{w}{b+w} of picking a white ball with the first pick, and the same probability of picking a white ball with the second pick. Similarly, you have a probability \frac{b}{b+w} of picking a black ball with both picks.

This leads to an overall probability of

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Of picking two balls of the same colour.

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We want to prove that

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