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mash [69]
3 years ago
9

Please answer question 10

Mathematics
1 answer:
sveta [45]3 years ago
6 0

Answer:

Step-by-step explanation:

1) First, we figure out the number of blue and green marbles (27 each)

2) Subtract the 6 blue and 3 green marbles. We now have 21 blue marbles and 24 green marbles.

3) Since we want to have more blue marbles while taking out the <em>minimum</em> number of green, we're going to take out green marbles out until there's one less than blue. Because there's 21 blue, we want 20 green. We've taken out 4/13 marbles so far.

4) Now, we're going to take 1 marble out of both the greens and blues until we have 17 blue and 16 green. We've now taken out 12/13 marbles. We can't make the 13th marble a blue one, otherwise we even them out, so we'll take another green. Now we have 17 blue and 15 green.

5) Count the number of greens you've taken out, and voila!

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A bag contains 13 pieces of candy. In how many ways can five pieces be selected?
Whitepunk [10]

Five pieces can be selected in 1287 ways

Step-by-step explanation:

When the selection has to be made without considering the order of selection, combinations are used.

The formula for combination is:

C(n,r) = \frac{n!}{r!(n-r)!}

Here

Total candies = n = 13

Candies to be selected = r = 5

Putting the values in the formula

C(13,5) = \frac{13!}{5!(13-5)!}\\=\frac{13!}{5!8!}\\=1287\ ways

Five pieces can be selected in 1287 ways

Keywords: Combinations, selection

Learn more about combinations at:

  • brainly.com/question/11203617
  • brainly.com/question/11253316

#LearnwithBrainly

3 0
3 years ago
Tony will run at most 31 miles this week. So far, he has run 20 miles. What are the possible numbers of additional miles he will
Misha Larkins [42]

Answer:

t=11

Step-by-step explanation:

31-20=11

so 11 miles left

5 0
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Alex wants to paint the four walls of her new office. The room has dimensions 18 feet by
jekas [21]

Answer:

58

Step-by-step explanation:

7 0
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Step-by-step explanation:

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3 years ago
Solve the inequality for x. Show each step of the solution.10x &gt; 2(8x – 3) – 18
Luden [163]

Answer: x<4

Given the inequality:

10x>2(8x-3)-18

We want to solve the inequality for x.

First, distribute the bracket on the right side of the inequality.

\begin{gathered} 10x>2(8x)-2(3)-18 \\ 10x>16x-6-18 \\ 10x>16x-24 \end{gathered}

Next, subtract 10x from both sides of the inequality.

\begin{gathered} 10x-10x>16x-10x-24 \\ 0>6x-24 \end{gathered}

Add 24 to both sides of the inequality.

\begin{gathered} 0+24>6x-24+24 \\ 24>6x \end{gathered}

Divide both sides of the inequality by 6.

\begin{gathered} \frac{24}{6}>\frac{6x}{6} \\ 4>x \\ \implies x

The solution to the inequality is x<4.

6 0
1 year ago
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