A 2×2 square is divided into four 1×1 squares. Each of the small squares is to be painted either green or red. In how many different ways can the painting be accomplished so that no green square shares its top or right side with any red square? There may be as few as zero or as many as four small green squares.

Answers

Answer 1

Answer:

2

Step-by-step explanation:

Let's denote all the four square by 1, 2, 3, and 4 as shown in the figure.

Each of the small squares is to be painted either green or red

The total numbers of the possible cases are:

(1) The number of cases if there is no green color square = 1 (all red)

(2) The number of cases, if there is 1 green color square = 4 as either of 4 small squares can be green (1G,2G,3G,4G).

(3) The number of cases if there is 2 green color square = 2+4=6 as

for diagonal positions: 2 which are (1G,3G), (2G,4G).for non-diagonal positions:4 which are (1G,2G), (1G,4G), (2G,3G), (3G,4G)

(4) The number of cases, if there is 3 green color square = The number of cases, if there is 1 red color square= 4 as either of 4 small squares can be red (1R,2R,3R,4R).

(5) The number of cases if there is 4 green color square = 1 (all green)

So, the total numbers of possible cases = 1+4+6+4+1=16.

Now, possible positions for which no green square shares its top or right side with any red square are the diagonal positions as mentioned in point (3), i.e (1G,3G), (2G,4G)

So, the total numbers of favorable cases = 2

Hence the total number of different ways for painting each of the small squares so that no green square shares its top or right side with any red square is 2.

A 22 Square Is Divided Into Four 11 Squares. Each Of The Small Squares Is To Be Painted Either Green
Answer 2

I listed possibilities:

1 Green Square:

RG

RR

2 Green Squares:

RG

RG

GG

RR

3 Green Squares

GG

RG

4 Green Squares

GG

GG

0 Green Squares

RR

RR


Related Questions

what is the opposite of 6.34

Answers

Answer:

-6.34

Step-by-step explanation:

the answer is -6.34

The opposite is -6.34 because negatives are the opposite of positive numbers

Please answer quickly!

Answers

Sorry I think the picture is blocked so I can't see it

PLEASE IM BEGGING U I NEED THIS PLEASE!!! THANK U FOR HELPING cries!!

What is the equation of the line, in standard form, if the slope is = - 1/4 and it passes through point (-3,4) ?

THANK U SO MUCH!!

Answers

Answer:

x+4y=13

Step-by-step explanation:

slope m= -1/4

(-3,4)

Slope intercept form: y=mx+c. plug in values of x,y,m, find c

4=(-1/4)*(-3)+c

c=4-3/4=(16-3)/4=13/4

Equation of line is:

y=(-1/4)x+13/4

To bring it to standard form, 4y=-x+13

x+4y=13

Complete the steps to solve for x.

-0.66x + 0.46x = 5.2
X = 5.2

Answers

Answer:

[tex]\huge\boxed{x=-26}[/tex]

Step-by-step explanation:

[tex]-0.66x+0.46x=5.2\qquad|\text{combine like terms}\\\\(-0.66+0.46)x=5.2\\\\-0.2x=5.2\qquad|\text{multiply both sides by (-5)}\\\\(-5)(-0.2x)=(-5)(5.2)\\\\x=-26[/tex]

Answer:

-26

Step-by-step explanation:

2/7x + 1/5x = 34 x= what?

Answers

Answer:

70

Step-by-step explanation:

[tex]\frac{2}{7}x +\frac{1}{5}x=34[/tex]

We need to combine like terms but since they are fractions we first need to find a common denominator. The common multiple of 5 and 7 is 35 so we need to multiply 7 by 5 and 5 by 7, but we have to do the same to the numerator too.

[tex]\frac{2*5}{7*5} +\frac{1*7}{5*7}[/tex]

[tex]\frac{10}{35}x+\frac{7}{35} x=34[/tex]

Combine like terms

[tex]\frac{17}{35}x=34[/tex]

Divide 34 by [tex]\frac{17}{35}[/tex]

[tex]\frac{34}{1} *\frac{35}{17} =\frac{1190}{17} =70[/tex]

what is a independent and dependent variable​

Answers

Answer:

The independent variable doesn't rely on anything to change; it is independent

The dependent variable relies on the independent variable; what happens to it depends on the independent variable  

Think of independent and dependent variables like cause and effect: the independent variable is the cause, while the dependent variable is the effect. For example; in an experiment, you manipulate the independent variable and measure the outcome in the dependent variable.

I hope that wasn't to confusing!

I hope this helps! (✿◕‿◕✿)

Find five liner solutions to the liner equation x-3/2y=-2 and plot the solutions as points o n a coordinate plane
PLEASE HELP i am failing math

Answers

Answer:

y=2x+4

if you need more help comment

Three friends order a pizza. Danny eats 1/2 of the pizza, Mike eats 1/3 of the pizza, and Chris eats 1/6 of the pizza. The next day they order a pizza and Danny eats 1/8, Mike eats 1/2, and Chris eats 3/8. Who ate the most pizza over the two days?

Answers

Answer:

It Mike who ate the most pizza

Step-by-step explanation:

Please help me and explain your answer and how you got it.

Answers

Answer: It’s 125
Explaination

Answer:

35

Step-by-step explanation:

Its the only one that really makes sense.

If you are buying $48 worth of two types of lawn seed. Ryegrass lawn seed sells for $0.70 per pound and Fescue lawn seed sells for $1.15 per pound. If you bought 25 pounds of Fescue lawn seed, write a linear equation in standard to find any amount of Ryegrass lawn seed purchased. (ax + by = c)

Answers

The amount of Ryegrass lawn seed purchased is 27.5 pounds and the linear equation formed is 0.70x + 28.75 = 48.

Linear Equation

The equation whose variables have the highest power as 1 is known as a linear equation.

How to write the linear equation for the given situation?

First, let us assume that the amount of Ryegrass lawn seeds purchased is x pounds.

The cost of Ryegrass lawn seeds is $0.70 per pound.

So, the cost of all the Ryegrass lawn seeds purchased is $0.70x.

The amount of Fescue lawn seeds purchased is 25 pounds.

And the cost of Fescue lawn seeds is $1.15 per pound.

So, the cost of all the Fescue lawn seeds purchased is,

= $1.15 x 25

= $28.75

And the total cost of buying the two types of lawn seeds is $48.

So, we can write the linear equation as,

0.70x + 28.75 = 48

Solving the linear equation for x, we get

0.70x = 48 - 28.75

0.70x = 19.25

x = 19.25/0.70

x = 27.5

Hence, the amount of Ryegrass lawn seed purchased is 27.5 pounds.

Learn more about solving linear equations here - https://brainly.com/question/1682776

#SPJ2

(Help me ASAP please) Which table contains only corresponding X-values in a Y-values where the value of Y is 3 more than the quotient of X and 2?

Answers

Answer:

Step-by-step explanation:

first ,you put it in a equation :y=x/2 +3 and you get an ordered pair from the graph like 7 is x  and  6.5 is y ,answer =7/2 =3.5 +3=6.5 and the y is also 6.5 so that is your answer.

Aha:/ help me please

Answers

Step-by-step explanation:

y<3x-6,x=0 for y>-3x-5,y=0

y<-6 x<-5/3

y=0,x>2 x=0, y>-5

therefore, values of x will be 2<x>-5/3

and values of y will be -5<y>-6

so the point will be (-9,-1)

hope it helps.

(10 Points) Question is In picture:

Answers

90° you’re welcome, hope this helps!

Trevon and Castel are selling flower bulbs for a school fundraiser. Customers can buy packages of tulip bulbs and bags of
daffodil bulbs. Trevon sold 10 packages of tulip bulbs and 14 bags of daffodil bulbs for a total of $402. Castel sold 11
packages of tulip bulbs and 4 bags odaffodil bulbs for a total of $237. Select the correct 2 equations and the cost of each
package of tulip bulbs and one bag of daffodil bulbs.

Answers

Answer:

Selection to make is C, D, E

Step-by-step explanation:

Let the cost of a package of tulip bulbs be $x while the cost of a package of daffodil bulbs be $y

10 tulip = $10x

14 bulbs = $14y

The addition of both gives a total $402

10x + 14y = 402 •••••••(i)

11 tulip = $11x

4 dudafodil = $4y

Total is 237

11x + 4y = 237 ••••••••(ii)

So let’s solve to get the value of x and y

10x + 14y = 402

11x + 4y = 237

Divide equation 1 by 2

5x + 7y = 201

11x + 4y = 237

Multiply equation 1 by 4 and 2 by 7

20x + 28y = 804

77x + 28y = 1659

Subtract i from ii

57x = 855

x = 855/57

x = 15

Recall;

5x + 7y = 201

5(15) + 7y = 201

75 + 7y = 201

7y = 201-75

7y = 126

y = 126/7

y = 18

Cost of tulip is $15, cost of daffodil is $18

what is a counting system? what different types of counting systems are there? please help !

Answers

Answer:

A numeral system is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set, using digits or other symbols in a consistent manner. The same sequence of symbols may represent different numbers in different numeral systems.

Step-by-step explanation:

Different types:

Oksapmin, base-27 body part counting. Photo Courtesy of Austronesian Counting. ...

Tzotzil, base-20 body part counting. ...

Yoruba, base-20 with subtraction. ...

Traditional Welsh, base-20 with a pivot at 15. ...

Alamblak, numbers built from 1, 2, 5, and 20. ...

Ndom, base-6. ...

Huli, base-15. ...

Bukiyip, base-3 and base-4 together.

Answer:

"A numeral system (or system of numeration) is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set, using digits or other symbols in a consistent manner. The number the numeral represents is called its value." Found on google not my words!

Step-by-step explanation:

Some different types are:

Decimal number system (Base- 10)

Binary number system (Base- 2)

Octal number system (Base-8)

Hexadecimal number system (Base- 16)

Find DE
3x - 28
D
3x - 30
х
G
E
F
33

Answers

Answer:

EG= 18

Step-by-step explanation:

Please see the attached picture for the full solution.

find X X+3 5
—— = —
8 4

Answers

Exact Form:
x
=
7
8
x
=
7
8
Decimal Form:
x
=
0.875
x
=
0.875

Given: ∠GHD and ∠EDH are right; GH ≅ ED Triangles G H D and E D H overlap and intersect at point F. The triangles share side H D. Sides G H and E D are congruent. angles G H D and E D H are right angles. Which relationship in the diagram is true ?
A. △GHD ≅ △EDH by SAS
B. △GHF ≅ △EDF by SSS
C. △FDH ≅ △FDE by ASA
D. △HFD ≅ △HFG by SSS

Answers

Answer:

A. △GHD ≅ △EDH by SAS

Step-by-step explanation:

This is right on edge. 2020

In triangles GHD and EDH angle GHD and angle EDH is congruent, side GH is congruent to the side ED, and side HD is congruent to side HD. So, from side angle side postulate triangle GHD and triangle EDH are congruent.

Given :

∠GHD and ∠EDH are rightGH ≅ ED Triangles G H D and E D H overlap and intersect at point F.The triangles share side H D. Sides G H and E D are congruent. angles G H D and E D H are right angles.

In the Side Angle Side postulate, the two sides and the included angle of one triangle are congruent to the two sides and the included angle of another triangle.

Given that in triangles GHD and EDH angle GHD and angle EDH is congruent, side GH is congruent to the side ED, and side HD is congruent to side HD.

So, from side angle side postulate triangle GHD and triangle EDH are congruent. Therefore, the correct option is A).

For more information, refer to the link given below:

https://brainly.com/question/8476788

A pack of 8 pairs costs 9:80. What is the cost of one pair of socks?​

Answers

Answer:

1 1/2

Step-by-step explanation:

Answer:

$1.26

Step-by-step explanation:

  9.80/8 = 1.22500

1.22500 rounded up = 1.26

You drop a seashell into the ocean from a height of 40 feet. Write an equation that models the height h in feet) of the seashell above the water after seconds. How long is the seashell in the air? Round your answer to the nearest tenth.

Answers

Answer:

t=1.58 seconds

Explanation:

The equation which models the height h of the seashell above water after t seconds

Height of seashell above water after t seconds; h = 40 - 8t²

Time that seashell is in air; t = 1.58 s

The sea shell is dropped under gravity and thus, from Newton's equations of motion, we know that height/distance is;

S = ut + ½gt²

Since it was dropped from a height and not the ground, then;

h = height of shell from ground

h_o = height from which the shell was dropped.

Thus, we have;

h - h_o = ut + ½gt²

We are told that the seashell was dropped into the ocean from a height of 40 ft. Thus;

h_o = 40 ft

It was dropped from rest and so; u = 0 ft/s

Acceleration due to gravity is; g = -32ft/s² (since it is free fall)

Thus;

h - 40 = 0(t) + ½(-32t²)

h = 40 - 8t²

The time that the seashell in the air will be after it has hit the surface which will be when h = 0.

Thus;

0 = 40 - 16t²

16t² = 40

t² = 40/16

t² = 2.5

t = √2.5

t = 1.58 s

Read more at; brainly.com/question/17576926

what dose the least common multiple of 4 and 6 mean in this situation (LCM)

Answers

Answer:

12

Step-by-step explanation:

You make a T-chart and list out all the multiples and you find which multiple is the smallest number they both have! For example, 4 and 6 have 12 as their least common multiple because 3 x 4 is 12 and 2 x 6 is 12, that’s the smallest number they both have in common.

Please help me!!!

Michael's parents doubled his pocket money. His sister paid $1 for ice-cream from her pocket money and he paid $3 of his poket money for an new toy. After making these payments, they have the same money left. If his sister's pocket money is $6, what was Michael's pocket money before doubling it?


1. How much money did they together have after making the payments?

2. How much money did Michael have after his pocket money was doubled. Find the value of x.

3. How much did Micheal's sister have before making the payment?

(ONLY THE ANSWER)

Answers

Answer:

x = $4

1. $10

2. $8

3. $6

Step-by-step explanation:

Let

Michael's doubled pocket money = 2x

He spends $3

Balance = 2x - 3

His sister's pocket money = $6

She spends $1

Balance = $6 - $1

= $5

2x - 3 = 5

2x = 5 + 3

2x = 8

x = 8/2

= 4

x = $4

After making the payments, they both together have $10

After Michael's pocket money was doubled, he has 2x

= 2(4)

= $8

His sister's has $6 before making the payments

A tv costs $150. You have a coupon for 12% off.
1) How much money will be taken off of the price of the tv?
2) How much will you pay for the tv?

Answers

Answer:$18 taken away and the total will be 132

Step-by-step explanation:

15 points! :)

find the value of x for each figure. each figure is in the centimeters(cm). not to scale.

answer this, don't answer if you don't know

Answers

Answer:

10) 1/7

11) 3/4

12) 1/3

13) 1/2

14) 1/2

15) 7/9

PLEASE HELP IM
GOING TO FAIL IF NOBODY ANSWERS THIS

Answers

Answer:

1) 180

2) 67

3) angle 4 and angle 1 are alternate interior angles

4) congruent

5) 59 degrees

6) alternate interior angles

7) congruent

8) 54 degrees

9) 180 degrees

10) 180 degrees

Step-by-step explanation:

Find three consecutive even integers whose sum is 48

Answers

Answer:

14, 16, and 18

Step-by-step explanation:

hope this helps!

If 52 men can do a piece of work in 35 days in how many days will 28 men to it?

Answers

28 mando the peace of work in 41 days

by divida 52 and 35 and multiiply with28

72 + (7x+24) = 180
need to find value of x with steps

Answers

Answer:

[tex]\boxed {x = 12}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]72 + (7x + 24) = 180[/tex]

Add both [tex]72[/tex] and [tex]24[/tex] together:

[tex]72 + (7x + 24) = 180[/tex]

[tex]96 + 7x = 180[/tex]

-Subtract [tex]96[/tex] to both sides:

[tex]96 - 96 + 7x = 180 - 96[/tex]

[tex]7x = 84[/tex]

-Divide both sides by [tex]7[/tex]:

[tex]\frac{7x}{7} = \frac{84}{7}[/tex]

[tex]\boxed {x = 12}[/tex]

Therefore, the value of [tex]x[/tex] is [tex]12[/tex].

The value of x in the equation is 12

The given equation is: 72 + (7x+24) = 180

In order to determine the value of x, take the following steps:

1. Expand the terms in the bracket

72 + 7x+ 24 = 180

2. Combine similar terms

7x = 180 - 72 - 24

3. Add similar terms together

7x = 84

4. Divide both sides of the equation by 7

7x / 7 = 84/ 7

x = 12

In order to check if the value of x gotten is correct, substitute for x in the equation

72 + (7(12)+24) = 180

72 + 84 + 24 = 180

A similar question was solved here: https://brainly.com/question/31437?referrer=searchResults

Pls help...
It is 12 points... Really need it for today

Answers

(-5, 4)

This is because what you're ultimately trying to do is find the difference in coordinates between the two figures, and that's 5 units to the left and 4 units up which is properly described by those coordinates

2( 3y−8 ) = 8 what is y?

Answers

[tex]2(3y - 8) = 8 \: \: so \: \: 6y - 16 = 8 \: \: so \: \: 6y = 24 \: \: finaly \: > > y = 4[/tex]

Other Questions
Bridgeport Inc. wishes to accumulate $1,092,000 by December 31, 2030, to retire bonds outstanding. The company deposits $168,000 on December 31, 2020, which will earn interest at 10% compounded quarterly, to help in the retirement of this debt. In addition, the company wants to know how much should be deposited at the end of each quarter for 10 years to ensure that $1,092,000 is available at the end of 2030. (The quarterly deposits will also earn at a rate of 10%, compounded quarterly.) (Round factor values to 5 decimal places, e.g. 1.25124 and final answer to 0 decimal places, e.g. 458,581.) The most important concept in mechanics is endorphins, posture, body fat, or sitting The_______of a story can be applied to other works of literature or to life.O settingO plotO themeO characters For anyone who had the similar question. Juans cell phone company charges $35 a month for phone service with limited data for every gigabyte of data overage the company charges $15 write an equation that represents how many gigabytes one goes over in a month if his bill was $110 which sutuation could be represented by -11 twice a number k plus the quantity s minus 2 y - 1 = -4 (x + 1)Please help thanks so much! I object to being kept waiting. Why cant you be _____ time?A. onB. inC. ofD. at. Find the measure of the labeled angles Write an expression that is equivalent to 5^-3 Why is it that when comparing a squares area with a rectangles area, with the SAME PERIMETER, that the square has a greater area? Jose is saving for a new bike. He already has $125. If he saves$25 of his allowance per week, how many weeks must he waitto save at least $600 to cover tax and delivery fees? Explain why carnivores, herbivores and omnivores have different types of teeth The sun produces 3.8 * 10 to the 27 power joules of energy per second. How much energy is produced in a year? Correct the inappropriate shift in verb mood. Just dust the shelves and then you should vacuum the floor. Your answer: Just dust the shelves, and the floor needs to be vacuumed. Just dust the shelves, and then you will vacuum the floor. Just dust the shelves, and then will you vacuum the floor? Just dust the shelves and vacuum the floor. Do you need the santhas even if there are regular markets? 100 POINTS WHOEVER GETS THIS RIGHTWhy would an emperor have a betraying general killed on the polo playing field?1.to make peace2.to keep the general from following through with his plans3.to make it look like an accident4.to warn others, who might be following the general, not to do so It is possible to use too many quotes; this weakens the overall voiceb of the essay. True or false PLEASE HELP ME! I am not sure how to answer this question.