A 1×6 square unit rectangular grid has to be covered with six 1×1 square unit tiles. Three of the tiles are yellow, two are white, and one is blue. In how many ways can this task be done if
b

no two neighboring tiles are the same color?

Answers

Answer 1

The number of ways the task of Rearranging the rectangular grid can be done if no two neighboring tiles are the same color is;

P(no two neighboring tiles are same) = 60 ways

We are given;

Number of yellow tiles; n_y = 3

Number of white tiles; n_w = 2

Number of blue tiles; n_b = 1

Now, if no two neighboring tiles can be the same tile Color, it means that;

P(no two neighboring tiles are same) = number of ways when no restriction/((n_y)! × (n_w)! × (n_b)!)

>> P(no two neighboring tiles are same) = 6!/(3! × 2! × 1!)

>> P(no two neighboring tiles are same) = 720/12

P(no two neighboring tiles are same) = 60 ways

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Related Questions

Solve the equation.
3/4x3-2x = -1/4+1/2+5

Answers

Answer:

x = 2.37056012

Step-by-step explanation:

I’ll give brainliest to who ever answers first !


I got the question incorrect please tell me what I did wrong and give me the correct answer

Answers

so when finding the x-int always set y=0
so:
0= 1/2x +4
multiply everything by 2 to get rid of that fraction!
and now/
0= x+8

subtract 8 from both sides and u get:
x=-8
X=-8 :))))))))))))))))))

below is a data table showing the amount of water remaining in a swimming pool. find and interpret the rate of change.

Answers

Answer: 40 gallons per second

Step-by-step explanation:

every second, a set number of gallons is emptied from the pool. to find this amount, you essentially have to subtract the one number From one on top of it. Example: 300 - 260 = 40

You can either stop there or continue until you are confident you have the right answer

300 - 260 = 40

260 - 220 = 40

220 - 180 = 40

180 - 140 = 40

When the cards on the right are added up, are their point values higher or lower than a Reverse card?

Answers

Lower, reverse card is always on top

Do you exercise regularly?
how do i put this in a biased questions

Answers

Answer: Did you know that you should exercise regularly?

Step-by-step explanation:

2(x-3)+4=10 please help

Answers

x=6. explanation: first you would start off by using the distributive property which would be: 2(x-3)+4=10 —> 2x-6+4=10. next you would add like terms which would be -6 and 4: 2x-6+4=10 —> 2x-2=10. then you would subtract 2 from both sides: 2x-2=10 —> 2x=12. finally you would divide both sides by 2 and that would give you 6: 2x=12 —> x=6. to double check your answer you would replace x with 6 in the original equation. hopefully this helps.

$3 for 6 muffins $9 for 18 muffins

Answers

Answer:

what is the question

Step-by-step explanation:

Answer:

$ 180

Step-by-step explanation:

3 x 6 = $ 18

9 x 18 = $ 162

If you add those numbers you will get  $180

If the blue troops hikes 2/3 if a mile every 1/2 hour, and the restrooms are 3/4 mile away from the cabin, how long will it take the blue troop to walk from the cabin to the restrooms?

Answers

Answer:

9/16 hour

Step-by-step explanation:

If the blue troops hikes 2/3 if a mile every 1/2 hour, and the restrooms are 3/4 mile away from the cabin,

Hence:

2/3 mile = 1/2 hour

3/4 mile = x hour

Cross Multiply

2/3 × x = 3/4 × 1/2

x = 3/4 × 1/2/ 2/3

x = 3/8 ÷ 2/3

x = 3/8 × 3/2

x = 9/16 hour

Therefore it will take the blue troop 9/16 hour to walk from the cabin to the restroom.

Question 3
Create AD and BD, and measure their lengths. How do the lengths compare? How is the relationship between the lengths of AD and BD
affected if point D is moved along the perpendicular bisector? PLATO

Answers

Answer: No matter where point D is located along the perpendicular bisector, the lengths of AD is always equal to the length of BD. Moving D along the perpendicular bisector does not affect the equality of the lengths.

Step-by-step explanation:

PLATO answer

Answer:

No matter where point D is located along the perpendicular bisector, the length of AD is always equal to the length of BD. Moving D along the perpendicular bisector does not affect the equality of the lengths.

Step-by-step explanation:

plato

Simplify this, please!!!
Don't be like "uuh uh its b i THINk but idk so pls mark as brainliet"
I will report you.
I will work this out myself but I'm using brainly for extra assurance.

Answers

Answer:

when i worked it out i got the answer as A.

Step-by-step explanation:

A is the answer i got.

2100 students were surveyed about whether they went to the Homecoming Dance and the Prom. 1470 students went to the Homecoming Dance. 570 students went to Prom only. 360 students went to both the Homecoming Dance and Prom. P (Went to Prom or None).

Answers

Answer and Step-by-step explanation: The problem can be solved by using a Venn Diagram.

A Venn Diagram shows the relation between a collection of different sets.

The figure below shows:  

1) Students who went only to the Homecoming = 1110

2) Students who went only to the Prom = 570

3) Students who went to both = 360

4) Students who went to none = 60

The question asks for the probability of students who went to Prom or None.

Probability of Prom = [tex]\frac{570}{2100}[/tex]

Probability of None = [tex]\frac{60}{2100}[/tex]

As it is asking for "OR", use the "or rule", i.e., add the probabilities:

P(Prom or None) = [tex]\frac{570}{2100}+\frac{60}{2100}[/tex]

P(Prom or None) = [tex]\frac{630}{2100}[/tex]

P(Prom of None) = 0.3

The probability of a student had went to Prom or none of them is 0.3 or 30%.

hi plz help me on this

Answers

Answer:

Anwser key

Step-by-step explanation:

2x + y=10
3x - 2y = 1

Answers

Solve
2x+y=10 for y:
2x+y=10

2x+y+−2x=10+−2x
(Add -2x to both sides)
y=−2x+10

Step: Substitute−
2x+10 for y in 3x−2y=1:
3x−2y=1
3x−2(−2x+10)=1
7x−20=1
(Simplify both sides of the equation)
7x−20+20=1+20
(Add 20 to both sides)
7x=21
7x=21
_ _
7 7
(Divide both sides by 7)
x=3

Step: Substitute
3 for x in y=−2x+10:
y=−2x+10
y=(-2)(3)+10
y=4
(Simplify both sides of the equation)

Answer:x=3 and y=4

Work out the value of x

Answers

Answer:

67.5°

Step-by-step explanation:

Given, 90° + x + 3x = 360°

4x = 360° - 90°

4x = 270°

x = 67.5°

Answer:

67.5

Step-by-step explanation:

[tex]3x + x + 90 = 360[/tex]

[tex]4x + 90 = 360[/tex]

[tex]4x = 360 - 90[/tex]

[tex]4x = 270[/tex]

[tex]x = 270 \div 4 = 67.5[/tex]

i think this is the answer

What are the values of x and y

Answers

Answer:

this will help you hopefully

GUYS I LITERALLY CANT DO THIS
simplify x²-25 / 2x²-7x-15
I'm more stuck on simplifying the bottom the top part is fine ​

Answers

Answer:

(x+5)/(2x+3)

Step-by-step explanation:

So we know the top part is difference of two squares. So thats (x+5)(x-5)

The bottom part

Firstly you do 2 times -15= -30

Now we need to find two numbers with a difference of 7 but multiply to give 30.

30

1 x 30

2 x 15

3 x 10

5 x 6

From here we can see 3-10=-7 and multiply to make -30

So we do 2x²-10x+3x-15

simplify this in two different parts: 2x²-10x and 3x-15

2x(x-5) and 3(x-5)

Therefore we get (2x+3)(x-5)

(x+5)(x-5)/(2x+3)(x-5)

x-5 is common so they cancel each other out leaving you with

(x+5)/(2x+3)

I hoped this helped :)

I need help with ANGLESSS!!!!!!

Answers

Answer:

mABD=88 mCBD=23

Step-by-step explanation:

To find x:

(6x+41)+(-10x+58)=111

-4x+99=111

-4x=12

x=-3

To find ABD:

-10(-3)+58

30+58

ABD=88

To find CBD

111-88

CBD=23

please helpppppppppp

Answers

Answer:

Time 10 = $40 Savings

Time 15 = $60 Savings

Time 25 = $100 Savings

Step-by-step explanation:

Answer:

10/40 ,15/60 ,25/100

Step-by-step explanation:

14. A bus company has 4000 passengers daily, each paying a fare of $2. For each
$0.15 increase, the company
estimates that it will lose 40 passengers per day.
If the company needs to take in $10 450 per day to stay in business, what
fare should be charged?

Answers

Answer:

wat the herck bsdvg

Step-by-step explanation:

kevin bought school supplies.He bought a graphing calculator for $199.9 and binders that cost $8.99 each. The total cost for the school supplies was $244.94.How many binders did Kevin buy. ​

Answers

Answer:

5 binders

Step-by-step explanation:

(244.94 -199.99) / 8.99

2 bags of sunflower seeds cost $5. How much would 10 bags of seeds
cost?

Answers

answer : 10 bags of seeds would cost 25$

Answer:

$25

Step-by-step explanation:

If 2 bags of sunflower seeds cost $5 dollars, and you need 10 bags, you can do 5 x 5, where one 5 represents the cost and the other 5 represent the packs needed, which is 5 x 2.

Thus 5 x 5 = 25, 10 bags of sunflower seeds will cost $25.

What are the dimensions of face A

Answers

You forgot to add the photo or extra info

What is the slope of the line on the graph

Answers

Answer:

slope= 1/2

Step-by-step explanation:

Answer:

2/4 which equals 1/2

Step-by-step explanation:

rise over run = slope

A punter kicks a football into the air. The pathway of the football can be represented by the equation h=-16t^2+82t (where t= time in seconds and h= height in feet.) How long will it take the football to reach the ground.

Answers

5.125 seconds ok?
You would use the equation
16x^2 + 82x = 0 saying that the ground is 0 height.
So as you know by PEMDAS exponents are first so you would do 5.125^2 which is 26.265625,
So you would do -16 x 26.265625 which is -420.25
So now you know the left side of the equation, and the right side is easy since it is just 82 x 5.125, which is 420.25
And -420.25 + 420.25 = 0!

The time required for the ball to reach the ground is 10.25 seconds

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The punter kicks the ball into the air

The equation to determine the pathway is h = -16t² + 82t

where t is the time taken in seconds to reach the height h

So ,

Time taken by the football to reach ground is calculated from the equation

At the ground , the height will be 0

So , h = 0

Substituting the value for h in the equation , we get

0 = -16t² + 82t

Adding 16t² on both sides , we get

16t² = 82t

Divide by t on both sides , we get

16t = 82

Divide by 4 on both sides , we get

4t = 41

Divide by 4 on both sides , we get

t = 10.25 seconds

Hence , the time taken by the football to reach the ground is 10.25 seconds

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ2

simplify 3/7+5/9- -2/3​

Answers

Answer:

mixed number form

= 1 41/63

Exact Form

104/63

Step-by-step explanation:

Hope this helps:)

What is the value of

Answers

Answer:1 over 6

Step-by-step explanation:

1 over 6 to the power of 0 is zero but a rule makes it one so itself so 1 out of 6

Your friend says that there are 36 feet
in 12 yards. Is your friend correct?
Explain your reasoning.

Answers

Answer:

yea i think

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

there are 3 feet in a yard. if we divide 12 by 3 to see how many feet there are, we get 4, not 36.

i hope this helps :))

A farmer's stand at the local farmer's market charged $2.00 for a container of
tomatoes, and $4.00 for a dozen of corn. If the farmer made a total of $120 for
the day and sold 30 containers of tomatoes... How many dozen of corn did the
farmer sell? USE THE EQUATION: 2t + 40 = 120.
The fruit
and cold a

Answers

Answer:

The answer is t = 40 so 40

Step-by-step explanation:

Your neighbor Philip buys a new alarm system that has two alarms (main and backup) with a 0.01 probability of a system failure. After reading the manual, he discovers that the second alarm has a 0.05 probability of failing. What is the probability of the first alarm failing?

Answers

Answer:

0.2

Step-by-step explanation:

Let P(A) = probability of first alarm failing and P(B) = probability of second alarm failing = 0.05. Since the events are independent, we have that the probability of both alarms failing or of system failure is P(A ∪ B) = P(A) × P(B).

Since the probability of both alarms failing or of system failure, P(A ∪ B) = 0.01, then the probability of the first alarm failing P(A) = P(A ∪ B)/P(B) = 0.01/0.05 = 0.2.

So, the probability of the first alarm failing P(A) = 0.2

Answer:

0.2 or 20%... see image

Step-by-step explanation:

Evaluate f(-3)

f (x) = 2x2 - 4x

Answers

30
You just plug -3 into where there is an X
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