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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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Maksim231197 [3]

Answer:

$38

Step-by-step explanation:

cost of ticket for adult = $22

cost of ticket for youngster = $16

______________________________

cost of ticket for John's mom = $22 as she is adult

cost of ticket for john = $16 as he is young , his age is less than 18 years

Total cost of ticket for John and his mother = $22 + $16 = $38

5 0
3 years ago
How many are 5 raised to 4 ???​
Licemer1 [7]

Answer:

625

Step-by-step explanation:

5⁴ = 5x5x5x5 = 625

4 0
3 years ago
A class has $90 to spend on a field trip. The field trip costs $2.50 per person and there will be 5 chaperones on the trip. One
vodka [1.7K]

Answer:

Step-by-step explanation:

x is the number of students

(x+5) is the number of students and chaperons

$2.50·(x+5) is the amount of money the number of students and chaperons will pay for the trip, and that number should be less or equal than $90 because those are all the money they have

2.50(x+5) ≤ 90 which is the same as 90 ≥ 2.50(x+5)

The inequality "90 greater-than 2.50 (x + 5) "

90 > 2.50(x+5) is an error becase it excludes the possibility that <u>the trip can cost exact $90</u> so we need not just greater than > , yet greater and equal than ≥ sign

90 ≥ 2.50(x+5)

7 0
2 years ago
Manuel and Peter are standing 12 ft. apart from each other and looking up at a kite that is flying between them. Manuel is flyin
Viktor [21]

Answer:

C. 68.1 ft.

Step-by-step explanation:

Hope this helps

4 0
3 years ago
What is the correct answer?​
alexgriva [62]
I think it is 5.64 I hope this helps
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