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s2008m [1.1K]
3 years ago
9

A game designer must decide how to color four buildings that are in a row. Using only the colors yellow, green, red, and blue, e

ach building must be painted with exactly one color. Any two neighboring buildings must be different colors, and the first and last buildings must be different colors. How many ways are there to paint the four buildings?
Mathematics
1 answer:
topjm [15]3 years ago
7 0

Answer:

The number of ways are there to paint the four buildings is 48.

Step-by-step explanation:

I) let the first building be any color. Therefore the first building can be painted with any of the 4 colors.

Therefore the first building can be colored in 4 ways.

ii) the second building can be colored in 3 ways since it cannot be colored the

same color as the first building.

iii) the third building can also be colored in 3 ways.

iv) the last building can be colored in 2 ways because it cannot be the same color as the first building or the color of the adjacent building.

Therefore the total number of ways the buildings can be colored = 4 \times 3 \times 3  \times 2 = 48.

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Could you send me a picture of the working and the answer
Allisa [31]
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Josie
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3 hours = 26.25

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Find wages for 1 hour :
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1 hour = 26.25 ÷ 3 = 8.75

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8 hours = 8.75 x 8 = $70

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2 hours = $15

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1 hour = $15 ÷ 2 = $7.50

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Find 1 week :
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1 week = $60 x 5 = $300

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Define x :
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Let x be the number of weeks needed 

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Construct equation :
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350x = 300x + 1000

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Solve for x :
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350x = 300x + 1000

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Take away 300x from both sides :
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50x = 1000

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3 years ago
Help me please ill give 5 star rating
babymother [125]

Answer:

Option A. 7\ basil and 11\ squash

Step-by-step explanation:

Let

b-----> the number of packets of basil seed

s-----> the number of packets of squash seeds

we know that

b+s=18

b=18-s -----> equation A

1.5b+2.5s=38 -----> equation B

substitute equation A in equation B and solve for s

1.5(18-s)+2.5s=38

27-1.5s+2.5s=38

s=38-27

s=11

Find the value of b

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7\ basil and 11\ squash

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3 years ago
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kvasek [131]

Answer

Option (3) is the right answer.

Step-by-step explanation:

8 0
3 years ago
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