Use five different colors to paint the four rectangles A, B, C and D shown in the figure. No two rectangles sharing an edge can be the same color. How many ways are there to color the rectangles?

Answers

Answer 1

Answer:

260 ways

Step-by-step explanation:

There are 3 scenarios.

Scenario #1, all colors used are different. A, B, C, and D each have their own individual color.

In this case, there would be 5x4x3x2=120 ways for this to happen.

(Since each color is different, after one is chosen there are only n-1 colors left, hence why it is 5x4x3x2)

Scenario #2, EITHER A&C OR B&D are the same color (Diagonal rectangles share no edges so they share a color).

In this case, there would be 2(5x4x1x3)=120 ways for this to happen. (Since we have two options, either A&C or B&D share a color, we multiply (5x4x1x3) by two to represent both options. Since the diagonal pairs must share one color, if, for example, A's color has been chosen from 5 options, C has only 1 option to choose from because it MUST match A's color)

Scenario #3, BOTH A&C AND B&D are the same color, meaning only 2 colors are used.

In this case, there would be 5x4x1x1=20 ways for this to happen.

(If A is already one color, B must choose a color from the remaining 4 options, C must match A so it has 1 option, similarily D must match B so it also has only 1 option, hence 5x4x1x1)

Now we add up all possible scenarios.

120+120+20=260 ways


Related Questions

Can you guys name the property please.

Answers

Answer:

I think A. Reflexive Property but if I am wrong, I am so sorry

Step-by-step explanation:

because 6 + 1 is is not subtracting or multiplying

Hope this helps

plz help meh thx u☝︎︎

Answers

Ok what u asking bro? If you tell me what you asking ill help u

I NEED HELP ASAP. WILL GIVE BRAINLIEST

In which quadrant(s) is csc(x) positive?

quadrant I only
quadrant II only
quadrants I and II
quadrants I and III

Answers

"In which quadrant(s) is csc(x) positive?"

Answer:

C. Quadrants I and II

csc(x) is positive in quadrants I and II.

What is quadrant?

"It is the area contained by the x and y axes.""There are four quadrants in a graph."What is cosine of angle?

"For an acute angle x, [tex]csc(x)=\frac{1}{sin(x)}[/tex]"

For given question,

We know that the ASTC rule.

The abbreviation for 'all sin cos tan' rule in trigonometry.

According to this rule,

- All trigonometric functions are always positive in the first quadrant.

- sine and cosine functions are always in the second quadrant.

- tan and cot functions are always in the third quadrant.

- sec and cosec functions are always in the fourth quadrant.

Therefore, csc(x) is positive in quadrants I and II.

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Select all input values for which h(x) = 2.
Choose all answers that apply:
X=0
B
2=4
x = 6
D
None of the above

Answers

Answer: x=4

Step-by-step explanation:

Using compatible numbers, which of the following is the best estimate for 564 divided by 73? A.8 B.9 C.7 D.6

Answers

It’s either A or C that would be my guess. I’m leaning more towards A thi

What is the product of and ?

Answers

Answer:

I dont understand the question

Step-by-step explanation:

Ummmmm product of what

In which two numbers does the digit 2 have a value that is the value of the digit 2 in the number 54.293?

Answers

Answer:

72.301

Step-by-step explanation:

Which table of ordered pairs represents a proportional relationship?

Answers

Answer:

your in 6th grade or 7th and the answer is A

Step-by-step explanation:

The answer is definitely A hope this helps

PLEASE HELP ASAP 20 POINTS HELPPPPPPPP!!!!!!!!!!!
I THINK THIS IS THE ANSWER BUT IKD

Answers

Answer:

x<-15

Step-by-step explanation:

You switch the sides of the sign because you are dividing by a negative.

-3x - 42 > 3

Add 42 to both sides to get -3x > 45

Divide both sides by -3 (when you switch the direction of the sign) and get x < -15

5. (2,-3) and (0,-2)
Slope:

Answers

Use the slope formula:

m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

Let:

(x₁ , y₁) = (0 , -2)

(x₂ , y₂) = (2 , -3)

Plug in the corresponding numbers to the corresponding variables:

m = [tex]\frac{-3 - (-2)}{2 - 0}[/tex]

Simplify. Note that if there are two negative signs directly next to each other, it becomes a positive sign:

m = [tex]\frac{-3 + 2}{2 - 0}[/tex]

m = [tex]\frac{-1}{2}[/tex]

Your slope is [tex]- \frac{1}{2}[/tex].

~

Is the relationship proportional? Explain.​

Answers

Answer:

yes

Step-by-step explanation:

It is proprtional because there is a pattern in the X and Y axis.

Answer:

no is not proportional because is not (0, 0) and that table has a y-intercept of 3

solve the compound inequality. Write your answer jn interval notation.
[tex] - p + 3 \leqslant 14 \: and \: 7p + 8 < - 20[/tex]


Answers

Step-by-step explanation:

-11≤p<-4

it may help you to understand

!!!!!! What are the names of four coplanar points?

Answers

Answer:  A, B, D, J

These points are all in the vertical plane shown in the diagram. Think of the plane as a flat sheet of paper that doesn't bend.

Only points L and K are outside of this plane. So if we listed {L, D, A, J} then that list of points isn't coplanar.

A, B, D, J points are all in the vertical plane shown. The plane as a flat sheet of paper that doesn't bend.

How to find if the point are coplanar or not?

The points are not coplanar if there does not exist any plane that contains those points.

Only points are outside of this plane. So if we listed {L, D, A, J} then that list of points isn't coplanar.

Therefore a plane is formed by a line and one point outside of it.

Then, we need to select the last point in such a way that it lies outside of the plane generated by the first 3 points selected.

Thus, A, B, D, J

These points are all in the vertical plane shown. The plane as a flat sheet of paper that doesn't bend.

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what is the fisrt name of mayor dimaguila​

Answers

Answer:

Hello!

    Welcome to Brainly, I'm Euijin and the Answer is:

Walfredo is his name. Full name: (WALFREDO R. DIMAGUILA, JR.)

Step-by-step explanation:

−2(+3)=−3(+2)+2

I am so lost

Answers

Answer:

First you 2-+3=3+2+2 assertions is stop being dumb

Step-by-step explanation:

Sdrdexvrfrfedwswdgikyf2sgikfedtjkj4whuugewef

Answer:

There is not solution!

Step-by-step explanation:

1.

Simplify  -2\times 3−2×3  to  -6−6.

-6=-3\times 2+2−6=−3×2+2

2.

Simplify  3\times 23×2  to  66.

-6=-6+2−6=−6+2

3.

Simplify  -6+2−6+2  to  -4−4.

-6=-4−6=−4

4.

Since -6=-4−6=−4 is false, there is no solution.

Solve for h.
-11h - h - -7h + -1 = 9

Answers

Answer:

h = -2

Step-by-step explanation:

-11h-h--7h+-1=9

-12h+7h-1=9

-5h = 10

-h = 2

h = -2

Solve for x:
8x1–5 = 6x + 1

Answers

x= 1/3
explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

Which statements are true about the lines? Select three options.

Line WZ has the same slope as line XY.
Line YX has a greater slope than line ZY.
Line XW has a lesser slope than line YZ.
Line ZW has the same y-intercept as line YZ.
Line XY has a lesser y-intercept than line XW.

Answers

Answer:

The answer is A,B,E

Step-by-step explanation:

Step by step

The true statements about the lines in Trapezoid WXYZ are; Statements A, C, D and E.

How to define the properties of a Trapezoid?

The trapezoid showing the lines is seen online.

The given trapezoid is WXYZ. Now, in a trapezoid, one pair of opposite sides are usually parallel. Parallel lines have same slope and slope of line parallel to x axis is 0.

Now, If the line starts at the bottom left and goes towards the top right it means there is a negative slope. Thus, the true statments for Trapezoid WXYZ are:

- Line WZ has the same slope as line XY.

- Line XW has a lesser slope than line YZ.

- Line ZW has the same y-intercept as line WZ.

- Line XY has a greater y-intercept

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A jet travels 3,075 miles in 5 hours. At this rate, how
fast could the jet fly in 15 hours? What is the rate (per
hour) of speed of the jet?

Answers

615 mph

Step-by-step explanation:

5 times 3 is 15

3,075 times 3 is 9,225

So 9,225 divided by 15 equals 615

HahahahannBsbsjs shabba

What are the leading coefficient and degree of the polynomial

6x^2-10+18x^3+x

Answers

Answer:

coefficent of 18 and degree 3

Step-by-step explanation:

Suggestion, order by highest to lowest degrees. 18x^3+6x^2+x-10.

Somebody please help!

Answers

Answer:

see below

Step-by-step explanation:

2m + 3m^2 -4m

Combine like terms

(2m -4m)   + 3m^2

The like terms are 2m, -4m

-2m + 3m^2

Answer: 3m^2 - 2m

No solution

If A is at -4 and B is at 7, what is the distance between A and B?

O 11
O 9
O 12
0 10

Answers

Answer:

11

Step-by-step explanation:

The distance between-4 and 7 is 11
-4+7=11

What is the first action Lupe should take when she discovers a difference between her records and the bank's records?

Answers

Answer:

She should talk to police about what is happening or recalculate her records.

Step-by-step explanation:

ITS JUST BASIC MATH PHYSICS

Answer: she should check her own records to see if she made a mistake.

Step-by-step explanation: just took the assignment

A dolphin is swimming 3 feet below sea level. It dives down 9 feet to catch some fish. Then the dolphin swims 4 feet up toward the surface with its catch.

What is the dolphin’s final elevation relative to sea level?

Answers

Answer:

The dolphin is -8 feet below sea level

Step-by-step explanation:

Start a -3 feet below sea level. Then subtract the -9 from when the dolphin dives. Then add the +4 feet. And you'll get -8. Hope this helps:)

The dolphin’s final elevation relative to sea level will be -8 feet.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a dolphin is swimming 3 feet below sea level. It dives down 9 feet to catch some fish. Then the dolphin swims 4 feet up toward the surface with its catch.

The elevation of the Dolphin is:-

Elevation = -3 - 9 + 4

Elevation  = -8 feet

Therefore, the dolphin’s final elevation relative to sea level will be -8 feet.

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Help plz
I need help on this question

Answers

Answer:

First one on The left

Step-by-step explanation:

Relaunch transformation sequences C. Locate quadrilateral ABCD and quadrilateral PQRS on the coordinate plane. Use GeoGebra to identify the transformations that will map ABCD onto PQRS, and then describe them in the table. Enter the coordinates for the vertices of the images that you created. Paste a screen capture of the images below the table.​

Answers

Answer:

Plato sample answer

Pls help me answer this question as fast as possible!!!!

Answers

Answer:

equasion: 7.50=3x+1.50

x=2

each hamburger is $2

Alyssa read 25 pages of a new book the first day she bought it. After the first day, she read 5 pages a day. If the book was 350 pages, which equation can be used to determine how many days it will take Alyssa to finish her book?

Answers

Answer:

5x + 25

Step-by-step explanation:

5x + 25 = 350
It will take her 65 days to finish the book :)

im so confused please help !!!

Answers

Answer:

000

Step-by-step explanation:

The graph of a proportional relationship is a straight line through the origin. That is, its y-intercept is zero. Its equation is y=mx.

__

For a non-proportional linear relationship, ...

In a table, for an ordered pair (0, y), y will not be 0.

From a graph, the y-intercept will not be 0.

In the equation y = mx+b, b will not be 0.

A house sold for 350,000. The real estate agent makes a 5.5% commission. How much did he/she make from the sale

Answers

Answer:

350,000 x .055 = $19,250.00

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