Kathy wants to paint the faces of her standard six-sided die so that each face is either red or blue. However, she does not want all of the faces to be the same color. How many ways are there for Kathy to paint her die?

Answers

Answer 1

Answer:

The number of ways Kathy can paint her die is 52 ways

Step-by-step explanation:

The permutation and combination related question is answered as follows;

The number of faces in the six-sided die = 6

The number of colors available for painting the six-sided die = 2 colors

Therefore, we have, the total number of ways Kathy can paint her die, 'n', given as follows;

n = ₆P₂ + 2₄P₄ + 2₄P₃ + ₄P₂

Where;

₆P₂ = The number of ways of arranging 2 objects in 6 spaces = 30

₄P₄ = The number of ways of arranging 4 objects in 4 spaces = 1

₄P₃ = The number of ways of arranging 3 objects in 4 spaces = 4

₄P₂ = The number of ways of arranging 2 objects in 4 spaces = 12

∴ n = 30 + 2×1 + 2×4 + 12 = 52

The number of ways Kathy can paint her die, n = 52 ways.


Related Questions

4x – y = 7 3y – 12x = –21

Answers

Answer:

y= 4x − 7 or 0=0

Step-by-step explanation:

4x−y+−4x=7+−4x

the answer is y=4x-7

is 6 greater then 0.8

Answers

Answer:

Yup, its greater than 0.8

Answer:

Yes

Step-by-step explanation:

0.8 is less than 1 and 6 is greater than one so 6 is greater than 0.8. :)

1. It's either B or D

Write a function rule that gives the total cost c(p) of p pounds of sugar if each pound costs $0.42.


A. c(p) = p + 0.42

B. c(p) = 42p

C. c(p) = p/0.42

D. c(p) = 0.42p

Answers

Answer:

D. c(p) = 0.42p

Step-by-step explanation:

total cost = .42(P)

Example: 5 lbs

$2.10 = $.42(5)

c(p) = 0.42p <== ur function

Since a pound of sugar increases proportionally to the total cost of sugar bought, then the function can be written as:

c(p) = 0.42p

Where: c(p) = total cost of sugar bought

p = pounds of sugar

c(p) is a function of p, because c(p) depends on p.

Answer: The function rule that gives the total cost is given by

Step-by-step explanation:

Let the number of pounds of sugar be 'p'.

Let the total cost would be C(p).

Cost of each pound = $0.42

So, the function rule would be

Hence, the function rule that gives the total cost is given by

What expressions are equivalent to 2 to the power of 6

A. 6x6x6x6x6x6
B.2x2x2x2x2x2
C.2x6
D.4x16
E.12x12
F.8x8

Answers

The answers are B F D

The expression are equivalent to 2 to the power of 6 is,

B. 2x2x2x2x2x2.

What are some rules of exponents?

Some common rules of exponents are

xᵃ×xᵇ = xᵃ⁺ᵇ.

xᵃ/xᵇ = xᵃ⁻ᵇ.

Addition and subtraction of exponents are only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.

We also know that a multiplied by a 'n' number of times can be written

as aⁿ.

Now,  2 to the power of 6 in exponent form is 2⁶ which states 2 is multiplied by 2, 6 times.

Therefore, From the given options the expression that is equivalent to

2⁶ is 2x2x2x2x2x2.

learn more about exponents here :

https://brainly.com/question/5497425

#SPJ2

Given g(x) = 3x + 14 , find x if g(x) = 20

Answers

Answer: x = 2

Step-by-step explanation: If g(x) = 3x + 14, and g(x) = 20 also, you first can set 3x+14 = 20. To find the value of x, you want to isolate the variable. You can subtract 14 from both sides to get 3x = 6. Finally, to find out the value of x, divide 3 from both sides. This leaves you with x = 2. You can check this by plugging two back into the original equation 3 times 2 = 6, and 6 plus 14 equals 20.

Pls hurry !

What is the graph of the equation?
X=-3

Answers

C. x = a number will always a be a horizontal line

Answer:

I think b because line was on x-e

for the pairs below put each question in slope intercept form and whether the graphs of the line will be identical, parallel, or intersecting, Also determine how many solutions the system of equations will have​

Answers

3: rearrange the 2nd equation so y is isolated, add 3x to both sides
Both equations are now y = 3x + 2. So they are identical, and therefore have infinite solutions since solution means how many times do these lines meet/overlap.

4: rewrite left-right and the equations are now:
y = -x
y = -x -2
Same slope but different intercept (b value), so they are parallel and NEVER meet (NO SOLUTIONS)

5. Rearrange:
y = -x + 4
y = x + 4

So they have different SLOPES in this example (m value). This means they are not parallel or identical, so they can only cross once (one solution)

6: rearrange both
y = 3x - 1
y = 3x + 1
Same slope (m=3), different intercepts (b= 1 and -1). Same slope means parallel, different b means different intercepts so they are NOT identical. Since parallel lines can not cross, there are no solutions

7: y = 2x + 4
y = 2x - 4
Same slope (m=2), different b values (y-intercepts are 4 and -4), so parallel but not identical, no solution

Which of the following statements provides the correct freezing and boiling points of water on the Celsius and Fahrenheit temperature scales

Answers

B provides the correct freezing and boiling points of water

Angles 1 and 2 are supplementary.
• The measure of angle 1 is (2x - 3) ◦
• The measure of angle 2 is (-5x + 423) ◦


What is the measure of angle 2?

Answers

Answer:

1 = 157°

2 = 23°

Step-by-step explanation:

because the angles are supplementary, their angles will add up to 180°set up the equation (2x-3)+(-5x+423)=180combine like terms to get -3x+420=180subtract 420 from 180 to get -3x=-240divide by three and get x=80now plug in 80 for x in both equations

here is the answer to ur question

Answers

Thanks, i really dont get how you are answering your own question but thanks anyway

                                       

.

hello! thanks sm ig.

Write an expression to find the perimeter of
the rectangle below:

Answers

Answer:

2(3x-4+2x)

Step-by-step explanation:

Answer:

2(3x-4)+2(2x)

=6x-8+4x

=10x-8

Step-by-step explanation:

not sure if correct tho

You purchase a new shirt that cost $15.00. Sales tax is added at the register at a rate of 8%. How much sales tax will be added to the cost of the shirt when you pay for it.

Answers

Answer:

16.2 U.S. Dollars  -  I hope this helps! :D

Step-by-step explanation:

Which table has a constant of proportionality between y and x of 4?

Answers

Answer:

A

Step-by-step explanation:

because if the COP is 4, table A is the only one that has 4

The answer would be A

​i am a multiple of 7, i am also a mutiple of 3 my units digit is half my tens digit. Thanks!

Answers

Answer:

21 or 42......both work

Find the value of x. 4 х 25 10 X = = [?]​

Answers

Answer:

X=10

Step-by-step explanation:

TOPIC: You and two friends have $20 to spend on snacks after school.

Explain how you would divide the money between the three of you.

Explain where you would go and what you would buy with your money.​

Answers

Each friend gets $6.60 and I would go to an dollar tree or 7/11 and buy a drink and some chips

Plz help me.............

Answers

Ok. 50 soda bottles are made in 2 minutes. We need to know how many could be made in 1. Dividing 2 by 2 gives us one minute. So if we divide 50 by 2, keeping the ratio the same, gives us 25. Thus, 25 bottles can be made in 1 minute. Hope that helps!!!

solve the equation -30p-2=58 for p.

Answers

Answer:

p=-2

Step-by-step explanation:

1.Combine like terms on both sides.

2.Subtract 6 y 6y 6y on both sides to keep the variable y to the left side only.

3.Add 11 to both sides of the equation.

4.Finally, divide both sides by −10 to get the solution.

Alice baked 88 cookies with 11 scoops of flour. With 12 scoops of flour, how many cookies
can Alice bake? Solve using unit rates.

Answers

Then Alice has a lot of spare time and I need points !!
88/11=8

8*12=96

ANSWER 96 cookies

Antonio needs to convert 1.2 liters of milk to milliliters. How many milliliters are there in 1.2 liters of milk?

Answers

Answer: 1200 milliliters.

Step-by-step explanation: 1 liter has 100 milliliters of milk in it. So you have to multiply 1.2 by 100 to get 1200.

Multiply the Following binomials using an area model (x+5) (x-5)

Answers

Answer: x^2 -25

Explanation:

Pleasee helppp answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Now how did I get the translation rule (x + 1, y + 3). Well basically, I did this :-

-4 - (-5) = 1

12 - 9 = 3

Now let us plug it in the translation rule to see if I get (-4, 12).

(x + 1, y + 3)

(-5 + 1, 9 + 3)

(-4, 12)

I get the same answer given in the problem. Hope this helps, thank you !!

I’ll send a picture for you how I did it this involves a graph so here it is if they are asking for the shape the shape is a triangle plz can you mark me brainliest I had to stop doing my homework for this

what does 74% of 160
Equal

Answers

Answer:

Step-by-step explanation:

74% of 160 = 118.4

Answer:

118.4

Step-by-step explanation:

74/100 is 0.74

0.74 x 160 = 118.4

Hope this helps :)

Bruce flipped a penny 5 times. It landed on heads 2 times and tails 3 times. If he flips the coin a 6th time, what statement is true?
A. It is more likely to be heads.
BIt is equally likely to be heads or tails.
C. It is more likely to be tails.
D. It in not likely to be tails.

Answers

Answer:

B

Step-by-step explanation:

I would say B because they're only 2 options head and tails.

✩brainliest appreciated ✩

A square picture has a 3-in. frame around it. If the area of the frame alone is 96 in.2 , what is the area of the picture?

Answers

Answer:

[tex] {25in}^{2} [/tex]

Step-by-step explanation:

see attached image

Scale on a map of Ireland is 1.2 000000 how many square centimetres are represented on the map by the province of Munster.

Answers

Question is incomplete, we will however explain how the scale works using examples

Answer and explanation:

Given the map scale 1:2000000, the fraction from this 1/2000000 is the representative fraction. The representative fraction is the ratio of distance on the map to the real distance on ground.

With the representative fraction 1/2000000, we can find how many meters on the ground is represented by a unit of measurement in centimeters on the map thus:

Given 1m= 100cm

Representative fraction broken down = 1/2×10000×100

Therefore 1cm on the map = 20000m on ground

question 8 is in the pic

Answers

Answer:

A. The median score of Class A is greater than the median score of Class B.

Step-by-step explanation:

This is the only true statement.

Hope it helps!

Answer:

A the media score of the class A is greater than the media score of class B

A car traveled 36 miles in 45 minutes.the car traveled at a constant speed.if the car continues to travel at this rate,which equation can be used to determine y,the total number of miles the car will travel,in x hours

Answers

Car traveled 36 miles in 45 minutes the car

Car traveled

At Garland School, 3/5 of the 490 students are boys.

At Bowood School, 5/7 of the 945 students are girls.


Which school has the greater number of girls and by how many?
You must show your working.

Answers

Step-by-step explanation:

the bowood school by 455 kids

(Giving brainiest.) Explain why each statement might be true or might be untrue. Tell if each is an example of inductive or deductive reasoning? Justify your answers.
2. To get a high school diploma a student must have 24 credits. Cindy has 24 credits. Therefore, Cindy must have a high school diploma.

Answers

Answer:

Deductive because you would use multiple statements to draw a conclusion

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