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lorasvet [3.4K]
3 years ago
8

the ratio of reds to greens was 5 to 16 and six times the number of reds exceeded the number of greens by 112. how many were red

and how many were green?
Mathematics
1 answer:
Masja [62]3 years ago
7 0
Call red as X then X/Green =5/16 => green = 16X/5.
six times the number of reds exceeded the number of green by 112 => 6X-16X/5=112 => 14X/5=112 => X= 40 => reds:40 => green = 128
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Factor completely 4x2 − 8x − 60. (4x − 20)(x + 3) 4(x − 5)(x + 3) (4x − 4)(x + 15) 4(x − 1)(x + 15)
katovenus [111]

after complete factorization of 4x^2-8x-60 the answer is 4(x+3)(x-5)

Step-by-step explanation:

We need to factor 4x^2-8x-60

Taking 4 common and factorizing:

=4(x^2-2x-15)\\=4(x^2+3x-5x-15)\\=4(x(x+3)-5(x+3))\\=4(x+3)(x-5)

So, after complete factorization of 4x^2-8x-60 the answer is 4(x+3)(x-5)

Keywords: factorization, factors

Learn more about factors at:

  • brainly.com/question/1464739
  • brainly.com/question/1414350
  • brainly.com/question/10771256

#learnwithBrainly

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3 years ago
Please help with geometry
quester [9]
The answer would be (2,-2)

5 0
2 years ago
This morning Gwen found that the snow on the sidewalk was 5 and 3/8 inches deep. At lunch the snow was 2 and 7/8 inches deep at
Nutka1998 [239]

Answer:

2.75

step-by-step explanation:

5 and 3/8 inches = 5 + 3/8 =  5 + 0.625 = 5.625

2 and 7/8 inches =  2 + 7/8 = 2 + 0.875 = 2.875

the inches that snow melted: 5.625 - 2.875 = 2.750

5 0
3 years ago
Please answer this question
Vladimir [108]

Answer:

  • a = 3/2
  • b = -1/2

Step-by-step explanation:

  \dfrac{\sqrt{5}-1}{\sqrt{5}+1}=\dfrac{(\sqrt{5}-1)(\sqrt{5}-1)}{(\sqrt{5}+1)(\sqrt{5}-1)}\\\\=\dfrac{5-2\sqrt{5}+1}{5-1}=\dfrac{6-2\sqrt{5}}{4}\\\\=\dfrac{3}{2}-\dfrac{1}{2}\sqrt{5}

Comparing this to the form a+b√5, we see that ...

  a = 3/2

  b = -1/2

8 0
3 years ago
There is a bag filled with 3 blue and 4 red marbles.
tresset_1 [31]

Using the hypergeometric distribution, it is found that there is a 0.4286 = 42.86% probability of getting 2 of the same colour.

The marbles are chosen without replacement, hence the <em>hypergeometric </em>distribution is used to solve this question.

<h3>What is the hypergeometric distribution formula?</h3>

The formula is:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • N is the size of the population.
  • n is the size of the sample.
  • k is the total number of desired outcomes.

In this problem:

  • There is a total of 3 + 4 = 7 marbles, hence N = 7.
  • Of those, 3 are blue, hence k = 3.
  • 2 marbles will be taken, hence n = 2.

The probability of getting 2 of the same colour is the sum of P(X = 0), which is both red, with P(X = 2), which is both blue, then:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}

P(X = 0) = h(0,7,2,3) = \frac{C_{3,0}C_{4,2}}{C_{7,2}} = 0.2857

P(X = 2) = h(2,7,2,3) = \frac{C_{3,2}C_{4,0}}{C_{7,2}} = 0.1429

Hence:

p = P(X = 0) + P(X = 2) = 0.2857 + 0.1429 = 0.4286

0.4286 = 42.86% probability of getting 2 of the same colour.

You can learn more about the hypergeometric distribution at brainly.com/question/4818951

3 0
2 years ago
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