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Aliun [14]
2 years ago
12

A bag contains ten identical blue marbles and ten identical green marbles. In how many distinguishable ways can five of these ma

rbles be put in a row if there are at least two blue marbles in the row and every blue marble is next to at least one other blue marble
Mathematics
1 answer:
ivann1987 [24]2 years ago
7 0

Answer: 11 different rows.

Step-by-step explanation:

As the marbles are identical, we do not really care for permutations (as we can really not difference them)

If we have 5 blue marbles, we have only one combination.

B-B-B-B-B

If we have 4 blue marbles, we have 3 combinations:

B-B-B-B-G,  G-B-B-B-B, B-B-G-B-B  

This is because the blue marbles need to be next to another blue one, so from here we can do the same analysis.

If we have 3 of them, we have 3 combinations.

B-B-B-G-G, G-B-B-B-G, G-G-B-B-B  

If we have 2 of them, we have 4 combinations

B-B-G-G-G, G-B-B-G-G, G-G-B-B-G, G-G-G-B-B

then we have 1 + 3 + 3 + 4 = 11 combinations

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In Mr. Elliot's garden, 1 8 of the flowers are red, 1 4 of them are purple, and 1 4 of the remaining flowers are pink. If there
german

Answer:

20

Step-by-step explanation:

Given that:

Red flowers = 1/8

Purple = 1/4

(1/8 + 1/4) = (1 + 2) / 8 = 3/8

Fraction left :

1 - 3/8 =. 5/8

Pink flowers :

1/4 of fraction left ;

1/4 * 5/8 = 5/32

Number of pink flowers

Total number of flowers = 128

5/32 * 128

640 / 32

= 20

20 pink flowers

4 0
3 years ago
Which is a true statement? A. –3.62 < –3.5 B. 0.8 > 7.1 C. 6.25 < 6.2 D. –3.4 > –3.3
Troyanec [42]
A is correct :)

Hope this helps!
3 0
3 years ago
I need help on number 8 and please show how you solved it :))
dmitriy555 [2]

Answer:

32.04% to 2 decimal places.

Step-by-step explanation:

As a fraction it is 17.3 / 54

To get the percentage we multiply by 100:

= (17.3/54) * 100

= 32.04%

8 0
3 years ago
Please Subtract the Following Fractions.
vovangra [49]

¡Hola!

Your answer to the question is 10/12.

Step-by-step explanation:

By using the y^2-y^1/x^2-x^1

12-2= 10

16-4= 12

So your answer is 10/12.

Hope this Helps!

4 0
2 years ago
Gary used candle molds, as shown, to make candles that were perfect cylinders and spheres:What is the approximate difference in
Nikolay [14]
The correct answer is 16.7

Hope this helped :)
6 0
3 years ago
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