29. My grandson makes wall hangings by stitching
together 16 square patches of fabric into a 4 x 4
grid. I asked him to use patches of red, blue,
green and yellow, but to ensure that no patch
touches another of the same colour, not even di-
agonally.
The picture shows an attempt which fails only
because two yellow patches touch diagonally.
In how many different ways can my grandson
choose to arrange the coloured patches correctly?

29. My Grandson Makes Wall Hangings By Stitchingtogether 16 Square Patches Of Fabric Into A 4 X 4grid.

Answers

Answer 1

9514 1404 393

Answer:

  168

Step-by-step explanation:

Below are shown the 7 different kinds of arrangements that can be made. Each of these can be permuted into 24 different arrangements by assigning colors in a different order than the one used here:

  {1, 2, 3, 4} ⇒ {green, blue, red, yellow}

Then the total number of possible correct colorings is 7·24 = 168.

__

These colorings were found using a computer program that identified all 168 viable colorings, then eliminated permutations. It started by identifying ways to color 2 rows, then adding rows based on that.

_____

You'll notice that the last on the attached list most closely matches the one in the problem statement.

29. My Grandson Makes Wall Hangings By Stitchingtogether 16 Square Patches Of Fabric Into A 4 X 4grid.

Related Questions

Solve 4x- c= k for x.
A. x = 4(k+ c)
B. x = k +c / 4
C. x = k-c/4
D. x = 4(k - c)

Answers

Answer:

The answer would be x= C+K/ 4

There are 40 students in a class and 36 of these students passed their Chemistry test.
What percentage of these students passed their test?

Answers

Answer:

90%

Step-by-step explanation:

To calculate a percentage, divide the smaller number into the larger one. 36 ÷ 40 = 0.9, which is equal to 90%.

Answer:

60% passed the test

a coin jar holds dimes and quarters.A coin jar holds dimes and quarters. There are ten less quarters than dimes. There is a total of $3.80. How many dimes are in the jar

Answers

Answer:

There are 18 dimes in the jar

Step-by-step explanation:

Let

x = number of dimes in the jar

y = number of quarters in the jar

Total = $3.80

There are ten less quarters than dimes

y = x - 10

0.1x + 0.25y = 3.80

0.1x + 0.25(x - 10) = 3.80

0.1x + 0.25x - 2.5 = 3.80

0.35x = 3.80 + 2.5

0.35x = 6.30

x = 6.30/0.35

x = 18

On the first day, 8 adult tickets were sold and 13 student tickets were sold for a total of $75. On day two, 10 adult tickets were sold and 9 student tickets were sold for a total of $72. What is the cost of an adult ticket? What is the cost of a student ticket?

Answers

Answer:

Adult ticket = $4,5

Student ticket = $3

.

Step-by-step explanation:

Let say adult ticket is x and student ticket is y. so we get:

→ 8x + 13y = 75 (×5) 40x + 65y = 375

→ 10x + 9y = 72 (×4) 40x + 36y = 288

.

Eliminate both equations

40x + 65y = 375

40x + 36y = 288    

29y = 87

[tex]y = \frac{87}{29}[/tex]

[tex]y = 3[/tex]

.

Substitute the value of y to one of equations

[tex]10x + 9(3) = 72[/tex]

[tex]10x + 27 = 72[/tex]

[tex]10x = 72 - 27[/tex]

[tex]10x = 45[/tex]

[tex]x = \frac{45}{10}[/tex]

[tex]x = 4,5[/tex]

.

Happy to help :)

Answer:

iwiwjjwjwjwjbba abaha ajajaj ajaj

Step-by-step explanation:

wjis sisi sjaijs aibaia aihwoh ha ajj w

45n=25
Simplify your answer as much as possible.

Answers

Answer:

5/9

Step-by-step explanation:

198.447 rounded to the nearest whole number.

Answers

198 is the answer! Hope this helps

Answer:

25

Step-by-step explanation:

Brainliest me pls

Have a nice day! <3

Use the algebraic expressions for the length and width of Marlene's living room found in the
23.
diagram and the value of x found in Question 21C.
A. Find the actual length and width of her living room.
B
Find the actual area of Marlene's living room. Use actual dimensions.

Answers

Answer:

The area of Marlien's living room is 420 square ft

Step-by-step explanation:

Before calculating the real dimensions of Marlien's living room, we must find the value of x.

Given the total shape of the house is a rectangle, then both widths must be equal and both lengths must be equal.

The widths are already written width identical expressions x-2+x, but the lengths are given as different functions of x. Equating both expressions, we have:

[tex]2x-10+x-2+\frac{1}{2}x-4+x-2=2x+2+\frac{1}{2}x-4+x-2[/tex]

Simplifying:

-10 + x - 2 = 2

x = 10 + 2 + 2

x = 14

Since x=14 feet, the dimensions of Marlien's living room are

width=x=14 feet

length=2x+2=30 feet

Thus the area is:

A = 14*30 = 420 square ft

The area of Marlien's living room is 420 square ft

Simplify : - sqrt(- 75) A. - 5i * sqrt(2) B. - 5i * sqrt(3) C. - 5i D. 5i

Answers

Answer:

B

Step-by-step explanation:

Here, we want to calculate the square root of -√- (75)

That will be

-√(25)(-3)

= -5 √(-3)

√(-3) is same as 3i

So we have the root as;

-5i√3

EASY PLS HELP i know it’s not C so pls tell me if it’s A B or D

Answers

A answer
Explanation

Somebody help plz I’m so bad at geometry sad face

Answers

Answer:

square is the answer for this question

what is the percent change of 44000 to 40000

Answers

Answer:

10 percent

Step-by-step explanation:

40000 is the old value and 44000 is the new value. In this case we have a positive change (increase) of 10 percent because the new value is greater than the old value.

Select all of the following that are quadratic equations.


1. x2 + 3 x -5 = 0
2. x2 - x = 3 x + 7
3. 5 x - 7 = 0
4. 7 x2 + 14 x = 0
5. x3 - 3 x2 + 1 = 0
6. x - 5 = 9 x + 7

Answers

Answer:

1. x² + 3x - 5 = 0

2. x² - x = 3 x + 7

4. 7x² + 14x = 0

Step-by-step explanation:

A Quadratic equation takes the form;

ax² + bx + c = 0

a, b, c are constants and a cannot be 0.

Options 1 fits this;

x² + 3x - 5 = 0

Option 2 fits this as well;

x² - x = 3 x + 7  

x² -x - 3x - 7 = 0

x² - 4x - 7 = 0

Option 4 fits this as well if c = 0.

7x² + 14x + 0 = 0

3^4/3^2 xczczcxcxcxcxcxcxc

Answers

Answer:

oop xc

Step-by-step explanation:

You can simplify fractions between powers of the same base as follows:

[tex]\dfrac{a^x}{a^y}=a^{x-y}[/tex]

So, in your case, you have

[tex]\dfrac{3^4}{3^2}=3^{4-2}=3^2=9[/tex]

A company charges a shipping fee that is 4% of the purchase price for all items
it ships. What is the fee to ship an item that costs $66?

Answers

4 percent of 66
0.04 = 4 percent
66 * 0.04 = 2.64
The shipping fee is $2.64

Solve for the variable x.
4(x - 11) = -210

Answers

Answer: Divide both sides by the numeric factor on the left side, then solve.

Exact Form: x= −83/2

Answer: x = -41.5

Step-by-step explanation:

Distribute the 4 that is outside of the parentheses.

4 times x = 4x

4 times -11 = -44

Then to isolate the variable add 44 to both sides of the equation to cancel out -44.

-44 + 44 = 0

-210 + 44 = -166

Now your equation should 4x = -166

To find x, divide both sides of the equation by 4.

4x divded by 4 is x.

-166 divded by 4 is -41.5.

So the answer is x = -41.5.

To check the answer, plug in -41.5 to the x.

4(-41.5 - 11) = -210

i need help findind m angle 12 =?

m angle 9 = 80° and m angle 5= 68°​

Answers

12 should equal 100°

Answer:

I think the answer is 12 = 100

Step-by-step explanation:

since 9 = 80 and that is the same for 11, if you do 180 - 80 = 100 which would be the answer for 10 and 12. Thus 12 = 100 based on the info given.

Hope this helps  :)

Company sells drinks in packs and cases a bottle is 1/6 of pack and the pack is 1/12 of a case a case of the drink called 25.92 what is the price per bottle in a case

Answers

Answer:

0.36

Step-by-step explanation:

Company sells drinks in packs and cases a bottle is 1/6 of pack and the pack is 1/12 of a case a case of the drink called 25.92 what is the price per bottle in a case

From the above question:

1 pack = 1/12 of a case.

1/12 of a case = 1 pack

1 case = x packs

Cross Multiply

1/12 × x = 1 × 1

x = 1 / 1/12

x = 1 × 12/1

x = 12 packs

This means, 1 case of drinks contains 12 packs of drinks

We are also told that: a case of the drink cost 25.92

This means the cost of 12 packs of drinks = 25.92

We are also told that:

a bottle is 1/6 of pack

1/6 pack = 1 bottle

1 pack = x bottles

Cross Multiply

1/6 × x = 1 × 1

x = 1 / 1/6

x = 1 × 6/1

x =6 bottles

This means, 1 pack of drinks contains 6 bottles of drinks

Hence:

12 packs of drinks = 25.92

1 pack of drinks = x

Cross Multiply

12x = 25.92

x = 25.92/12

x = 2.16

1 pack of drinks cost 2.16= 6 bottles of drinks cost 2.16

Therefore:

6 bottles of drinks = 2.16

1 bottle of drink = x

Cross Multiply

6x = 1 × 2.16

x = 2.16/6

x = 0.36

Therefore, the price per bottle in a case is 0.36

Please answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!

Answers

Answer:

3

Step-by-step explanation:

9 / 54 = x / 18

x = 3

Does anybody know the average individual score for a Mathcounts competition?

Answers

Answer:

4.0 hope this helps!!6

Three items were bought at a car boot sale.
Item A
Mass = 42 grams
Volume = 2 cm
Item B
Mass = 87.5 grams
Volume 5 cm3
Item C
Mass = 147 grams
Volume = 7 cm3
=

The density of platinum is approximately 21 grams per cmº.
Which of the items cannot be platinum?
You must show your working.

Answers

Answer: Multiply the density with the volume. You get 2418.2 grams or 2.4182 kilograms

Step-by-step explanation:

Answer:

Item B

Step-by-step explanation:

A:

density = mas/volume = 42 g / 2 cm^3 = 21 g/cm^3    

This may be platinum.

B.

density = mass/volume = 87.5 g / 5 cm^3 = 17.5 g/cm^3

This cannot be pure platinum.

C.

density = mass/volume = 147 g / 7 cm^3 = 21 g/cm^3

This may be platinum.

Answer: Item B

Which expression represents a positive number? A. -9.8 x (-23.5) B. 9.8 x (-23.5) C. 23.5 x (-9.8) D. -23.5 x 9.8

Answers

Answer: Option A

Step-by-step explanation: if we multiply two negative numbers we get a positive result, pls give brainliest

Answer:

A represents a positive number

Step-by-step explanation:

(−9.8) x (-23.5) = 230.3x


Jack bought 3 pairs of socks for $7.50. At this rate, how much would 10 pairs of socks cost?

Answers

Answer:

25$

Step-by-step explanation:

7.50$ divided by 3 is 2.50$. then 2.50$ times 10 is 25$

Answer:

75$

Step-by-step explanation:

because you multiply 7 x 10 and that equals 70$ and then multiply .50 x 10 and that equals 5$ so 70$ plus 5$ equals 75$

If a polynomial 2x( raised to power 3) -9x +15x +p, when divided by (x-2), leaves -p as remainder, then p is equal

Answers

Answer:

p is -5

Step-by-step explanation:

If a polynomial 2x³-9x² +15x +p is divided by (x-2), then the remainder is gotten by equating the divisor x - 2 to zero

If x - 2 = 0

Add 2 to both sides

x - 2 + 2 = 0 + 2

x = 2

Substitute x = 2 into the expression to get the remainder:

If p(x) = 2x³-9x² +15x +p

p(2)= 2(2)³-9(2)² +15(2) +p

p(2) = 2(8) - 9(4) + 30 + p

p(2) = 16-36+30+p

p(2) = -20 + 30 + p

p(2) = 10+p

Since the remainder given in question is - p, to get p, we will equate p(2) to -p as shown

p(2) = -p

10+p = -p

10 = -p-p

10 = -2p

p = 10/-2

p = -5

Hence the value of p is -5

does that graph show a function explain how
A. No; the graph fills the vertical line test
B. Yes; the graph passes the vertical line test test
C. No; there are y-values that have more than one X-value
D. yes; there are no Y-values that have more than one X-value

Answers

I think it’s c because it look a

Solve for x
If you don’t know how to do it don’t answer.

Answers

Answer:

127

Step-by-step explanation:

Exterior angle measure is equal to the sum of non-adjacent interior angles

21..................................................

12x + 2 = 9x + 11 + 2712x - 9x = 38 - 23x = 36x = 12

22..................................................

13x + 1 = 4x + 6 + 5813x - 4x = 64 - 19x = 63x = 7

4. Isabelle takes the bus to work. The bus ride to work costs her $2.50 each time. She could buy a bus pass for a one-time fee of $15.00 and would then only pay $1.00 each time to ride the bus. How many times would she have to take the bus for the cost to be the same?

Answers

Answer:

6 times.

Exclamation:

You can do 15 divided by 2,50 to get you answer, when you do that you get 6.

(The upcoming and this sentence is pre-written and copy and pasted in every brainly question or comment I write or answer.) If this answer helped you please consider giving it brainliest. If my answer was wrong and you got marked wrong for it, I deeply apologize and hope you will forgive me, since everyone makes mistakes sometimes. If you need me to elaborate on my answer or give further explanation on it, please ask and I will do so. If you need to explain your reasoning on your work feel free to use my words- word for word- without crediting me, the answer was made for you anyways! Hope yall learn from my answer and it helps you in the future with assignments, quizzes, test’s, and more!

- •Trix•

( Yes I know my - •Trix• thingy is not my user but it’s what I would change it to if I could but I can't, please address me as Trix while commenting or talking to me here.)

pls help meh with this <3​

Answers

Answer:

For the first one, 29,000 s, 29,500 s, and 29,999 s.

For the second one, no because the bookcase is taller than the doorway.

Oof hope I'm correct and was able to help <3

help 6th grade math i will give brainliest

Answers

Answer:

1. =     (all numbers powered by zeros are 1)

2. >    (the smaller the number gets when a number powers a fraction)

3. >    (-5)^2 will equal 25 but -5^2 will equal =25

Answer:

1. =

2. >

3. <

Step-by-step explanation:

2.5^0 = 1

1.5^0 = 1

(1/3)^4 = 0.0123

(1/3)^5 = 0.0041

5^1 = 5

-5^2 = 25

hope this helps. i am in algebra two so you can trust my answer. Happy Holidays! stay safe

You have 20 minutes to finish 10 math problems for homework. Write and solve an inequality that represents how many minutes you can spend the problem.
a.) 10x ≥ 20, x ≥ 2
b.) 20x ≥ 10, x ≥ 1/2
c.) 20x ≤ 10, x ≤ 1/2
d.) 10x ≤ 20, x ≤ 2

Answers

pretty sure its d because x= problems and the other number is time

f(n) = n^3– 2n
g(n)= 2n + 2
Find (f •g)(n)

Answers

Answer:

[tex]\boxed{(f~.~g)(x) = 2n^4 + 2n^3 - 4n^2 -4n}[/tex]

.

Step-by-step explanation:

We know that

[tex]f(n) = n^3 - 2n[/tex]

[tex]g(n) = 2n + 2[/tex]

.

So

[tex](f~.~g)(x) = f(n)~.~g(n)[/tex]

[tex](f~.~g)(x) = (n^3-2n)(2n + 2)[/tex]

[tex](f~.~g)(x) = n^3(2n + 2) - 2n(2n + 2)[/tex]

[tex](f~.~g)(x) = 2n^4 + 2n^3 - 4n^2 -4n[/tex]

Answer:

2jj2j wnqj qkwk abaia aow w wka a9w wjw a8uaaia sks sis s8siwobsisi shkahza a

Step-by-step explanation:

bs ak la ya s dyua youa au ab fusn aigska

Other Questions
Lily Products Company is considering an investment in one of two new product lines. The investment required for either product line is $540,000. The net cash flows associated with each product are as follows: Year Liquid Soap Body Lotion 1$170,000 $ 90,000 2150,000 90,000 3120,000 90,000 4100,000 90,000 570,000 90,000 640,000 90,000 740,000 90,000 830,000 90,000 Total$720,000 $720,000 a. Recommend a product offering to Lily Products Company, based on the cash payback period for each product line. During the Age of Discovery, what was a common reason explorers set outfor unknown lands?A. They wanted to seek wealth and fame for their home country.B. They wanted to earn the name of "King of the Seas" by traveling asfar and as fast as possible.C. They wanted to study cultures in distant lands so they could reportback to their rulers with more efficient ways of governing.D. They wanted to discover new land so they could settle there andbecome rulers. Gabriella expects to earn $50 in tips during her shift as a waitress. In addition to tips she earns $8 and hour. If she wants to make ateast $114 today how many hours does she need to work A researcher observes that when two heterozygous plants with red flowers are crossed the resulting offspring include plants with red white, or pink flowers The researcher proposes the rullrypethesis that flower color is the result of independent assortment and incomplete dominance The researchers climesach square value of 7.3 Assuming two degrees of freedom which of the following is the correct Interpretation of the chi-square analysis, using apvalue of 0.05 ? A. The null hypothesis should be rejected because the critical value is less than the calculated value B. The null hypothesis should not be rejected because the critical value is less than the calculated value C. The null hypothesis should not be rejected because the critical value is greater than the calculated value D. The null hypothesis should be rejected because the critical value is greater than the calculated value how does fixed cost differ from variable costs? A cyclist travels 5 miles in the direction N 30 E, then travels 3 miles in the direction N 70 E. Which equationmeasures the cyclist's distance, x, from the starting point?52 = x2 + 32 2(3)(x)cos(100)52 = x2 + 32 2(3)(x)cos(140)x2 = 52 + 32 2(5)(3)cos(100)x2 = 52 + 32 2(5)(3)cos(140) how can graphs be used to find related data What is | a-4b | if a=7 and b=2? In January 2021 Boxer Corporation purchased a patent at a cost of $219,000. Legal and filing fees of $59,000 were paid to acquire the patent. The company estimated a 10-year useful life for the patent and uses the straight-line amortization method for all intangible assets. In January 2024, Boxer spent $40,000 in legal fees for an unsuccessful defense of the patent and the patent is no longer usable. The amount charged to income (expense and loss) in 2024 related to the patent should be: Multiple Choice $234,600. $ 67,800. $219,000. $ 40,000. Mayer Company leased equipment from Lennon Company on July 1, 2010, for an eight-year period expiring June 30, 2018. Equal annual payments under the lease are $300,000 and are due on July 1 of each year. The first payment was made on July 1, 2010. The rate of interest contemplated by Mayer and Lennon is 8%. The cash selling price of the equipment is $1,861,875 and the cost of the equipment on Lennon's accounting records was $1,650,000. Assuming that the lease is appropriately recorded as a sale for accounting purposes by Lennon, what is the amount of profit on the sale and the interest income that Lennon would record for the year ended December 31, 2010 The government has no right to create a national health care system they are only getting in the way of economic growth. They should just leave us alone." Cathy would like to have accumulated $25,000 on her IRA account in 5 years. The return is 3.1%. How much should Cathy deposit in her account annually?$1,329.94$2,711.73$4,699.46$5,000.00 What is the cost of a 5-mile taxi ride if the charge is $3.50 to start plus $2.70 per mile? Please show the work with the answer. TY! What is Identity Theft?A criminal accessing your personal info to pretend to be you.Someone stealing your drivers license.Leaking personal information online.Stealing your username for log on. What is the LCD of 7/8 and 3/4? After photosynthesis plants store their energy as Sally has a cube numbered from 1 to 6. She tosses the cube onto the floor 54 times. How many times should she expect it to land on a 4? what is the correct answer? What is the perimeter of JKLM? Match the answers to the correct statements from the study guide.The preterite and the imperfect are both ______tensesThe preterite tense is used for ______ actions in the pastThe imperfect is used for_______ actions in the past.answer choices are in the picture.