Write the next three terms of the arithmetic sequence.

The arrangement of the blocks is an illustration of permutation and combination

The number of possible arrangement is 27720 ways

The given parameters are:

n = 12

Black = 6

Red = 4

White = 1

Blue = 1

The number of possible arrangement is then calculated as:

[tex]Ways = \frac{12!}{6!4!1!1!}[/tex]

Evaluate the factorials

[tex]Ways = 27720[/tex]

Hence, the number of possible arrangement is 27720 ways

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Answer:

8x + 12

Step-by-step explanation:

4 x 2x = 8x

4 x 3 = 12

Answer:

hi is here is the answer  

1. x=−6

x=4

2. p=−3 10 −6≈−15.486832981

3

Step-by-step explanation:

Answer: its A.

Step-by-step explanation:

i took the test and got 100%

I've attached some theories related to angles have a look at it

Angle y and angle KJF are co-interior angles so they add up to 180°

132 + y = 180

y = 180 – 132

y = 48

y + z = 143 ( alternate angles )

48 + z = 143

z = 143 – 48

z = 95

Answer:

De acuerdo, el número es 911, ¿cuál es su ubicación para que pueda enviar ayuda?

Step-by-step explanation:

Answer:

D. 60°

Step-by-step explanation:

The interior angles of all triangles add up to 180 degrees.

There are two y's on the triangle

And one of the degree lengths is 60°, so we do:

2y + 60 = 180

Subtract 60 from both sides

2y + 60 - 60 = 180 - 60

2y = 120

Divide 2 from both sides

2y/2 = 120/2

y = 60°

Also, In geometry, an equilateral triangle is a triangle in which all three sides have the same length. In the familiar Euclidean geometry, an equilateral triangle is also equiangular; that is, all three internal angles are also congruent to each other and are each 60°.

All three sides are equal

All the three interior angles are equal to 60 degrees

The interior angles of all triangles add up to 180 degrees.

Heres a picture of an equilateral triangle

Answer:

Your answer would be $2,891

Hope this help :D

Step-by-step explanation:

Answer:

$2891

Step-by-step explanation:

$2821          

$2857

$2860

$2891

Answer:

hard,sorry I can't answer the question don't be angry at me I beg you

Answer:

4.4

Step-by-step explanation:

[tex]4\frac{2}{5} \\\\\frac{22}{5} \\\\4.4[/tex]

10 miles 50 minutes = 1 mile 5 minutes = 6 miles 30 minutes = 18 miles 19 minutes

Answer: 18 miles

Step-by-step explanation: 1 mile = 5 minutes

So, 90 minutes = 18 miles.

Hope this helps! :)

Mark me brailiest and a thanks please!

Answer:

11, 13

Step-by-step explanation:

Let one of the odd positive integer be x , then the other odd positive integer is x+2.

Their sum of squares:

[tex]x^{2} +(x+2)^{2}[/tex]

[tex]x^{2} +(x+2)(x+2)[/tex]

[tex]x^{2} +x^{2} +4x+4[/tex]

[tex]2x^{2} +4x+4[/tex]

Given that their sum of squares = 290

[tex]2x^{2} +4x+4 =290[/tex]

[tex]2x^{2} +4x = 286[/tex]

[tex]2x^{2} +4x -286 = 0[/tex]

[tex]x^{2} +2x -143 =0[/tex]

[tex]x^{2}+13x-11x-143 =0[/tex]

[tex]x(x+13)-11(x+13)=0[/tex]

[tex](x+13)(x-11)=0[/tex]

Therefore x = 11, x=-13

We take positive value of x:

So, x =11 and (x+2)= 11+2=13

Therefore , the odd positive integers are 11 and 13

Monica originally had $1.50

Data;

To solve this, we have to write the word problem in an equation which we can solve.

Assuming she had x amount of money and she gave half to her brother, we can write an equation for that

[tex]x - \frac{x}{2} = x- 0.5x[/tex]

But she also lost 25 cents and she have 50 cents left, let's put this in an equation.

[tex]x-0.5x-0.25 = 0.50[/tex]

let's collect like terms and solve for x

[tex]x-0.5x-0.25=0.50\\0.5x=0.5+0.25\\0.5x= 0.75\\\frac{0.5x}{0.5} =\frac{0.75}{0.5}\\ x = 1.5[/tex]

From the calculations above, Monica originally had $1.50

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Answer:

balanced reaction: 1 C3H8 + 5 O2  ---->  3 CO2 + 4 H2O

Answer:

it's 2

Step-by-step explanation:

Just remove 2 zeros from 200!

and 100 x 2 = 200

Answer:

-2/3 + 0

= 2

– — + 0

3 2

Add — 2/3 and 0 to get – —

3

2

= – —

3

= (–1).2/3 = –0.666666667

the answer is = –0.666666667

Step-by-step explanation:

#Carry on learning

Answer:

70%

Step-by-step explanation:

Total: 60

Strawberries: 18

Lemons: 42

[tex]\frac{42}{60}[/tex] = [tex]\frac{7}{10}[/tex] = 70%

The percentage of lemons in the group is equal to 70%.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that in the image there are 60 objects in total, the number of lemons is 42 and the number of strawberries is 18.

Total: 60

Strawberries: 18

Lemons: 42

The percentage of the lemons will be calculated as,

Percentage = 42 / 60

Percentage = 0.7

Percentage = 0.7 x 100 = 70%

Therefore, the percentage of lemons in the group is equal to 70%.

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Answer:

Step-by-step explanation:

Number of cans of peas = x

Cost of 'x' cans of peas = x *0.85 = 0.85x

Number of cans of corn = y

Cost of 'y' cans of corn = 0.78*y = 0.78y

Number of cans of peas = number of cans of corn + 2

x = y + 2  --------------(I)

x - y = 2  ----------------(II)

Total cost = $ 6.59

0.85x + 0.78y = 6.59 -------------(III)

Substitute x = y +2 in equation (III)

0.85(y + 2) + 0.78y = 6.59

0.85y + 1.70 + 0.78y = 6.59

          0.85y + 0.78y = 6.59- 1.70

                  1.63y       = 4.89

                            y = 4.89/1.63

y = 3

Number of cans of corn = 3

Plugin y = 3 in equation (I)

x = 3 + 2

x = 5

Number of cans of peas = 5

Answer:

slope = - 3

Step-by-step explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (- 3, 1) and (x₂, y₂ ) = (- 1, - 5) ← 2 points on the line

m = [tex]\frac{-5-1}{-1-(-3)}[/tex] = [tex]\frac{-6}{-1+3}[/tex] = [tex]\frac{-6}{2}[/tex] = - 3

Answer: Check out the graph below

The graph is a straight line through the points (0,6) and (1,8)

====================================

Explanation:

Plug in x = 0 to find that...

y = 2x+6

y = 2(0)+6

y = 0 + 6

y = 6

The point (0,6) is on the line

---------

Repeat for x = 1

y = 2x+6

y = 2(1)+6

y = 2 + 6

y = 8

The point (1,8) is also on the line

---------

Now plot the two points together on the same xy grid.

Draw a straight line through the two points. Stretch the line as far as you can in either direction. See below. I used GeoGebra to make the graph. It's a free graphing app.

Desmos is another useful free graphing tool. There are many options if you don't have a graphing calculator.

Answer:

6 dimes 18 nickels

Step-by-step explanation:

x3 and 1.50

Answer:

a) 984.6080 = 984.61 to 2 decimal places

b) 984.6080 = 984.6 to 4 significant figures

c) 984.6080 = 984.608 to 3 decimal places

d) 984.6080 = 984.61 to the nearest h

Step-by-step explanation:

Answer:

if i read the question correctly the hairdresser cuts off 4 inches

Step-by-step explanation:

32 inches is the total length of her hair

so 4 inches off the total length means 32 - 4 which is 28 inches

so the hairdresser cuts off 4 inches and now she has 28 inches of hair left

The barber cut 4 inches of hair out of 32 inches of hair.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Abigail has lovely, lustrous black hair that is 32 inches long. She asks the hairdresser to cut off 4 of the total length of her hair.
So barber cut the 4-inch out of 32 inch

Thus, the barber cut 4 inches of hair out of the 32 inches of hair.

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Answer:

[tex]x=1,\:x=4[/tex]

Step-by-step explanation:

[tex]x-2=\sqrt{x}\\\\(x-2)^2=x\\\\x^2-4x+4=x\\\\x^2-5x+4=0\\\\(x-1)(x-4)=0\\\\x=1,\:x=4[/tex]

x=1 and x=4 are real value or values of x satisfy the equation x−2=√x

Two or more expressions with an Equal sign is called as Equation.

Given,

Equation is x−2=√x

We need to find for which values of x satisfy the equation.

x−2=√x

Take square on both the sides

(x-2)²=√x²

We know the algebraic identity

(a-b)²=a²+b²-2ab

(x-2)²=√x²

x²+2²-2(2)x=x

x²+4-4x=x

x²+4-4x-x=0

x²-5x+4=0

x²-4x-x+4=0

x(x-4)-(x-4)=0

(x-1)(x-4)=0

x-1=0

x=1

x-4=0

x=4

Hence, x=1 and x=4 are real value or values of x satisfy the equation x−2=√x

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Answer:

The area of this rectangle is 72x^5

Step-by-step explanation:

A = l ∙ w

Let, l = length

Let, w = width

Step 1: Substitute the length and width for the two given values

    1. A = (12x³)(6x²)

Step 2: Multiply

    1. A = 72x^5

Step-by-step explanation:

Substitute -4, 5, 7, 12 into the inequality then solve:

[tex]3( - 4) - 5 < 17[/tex]

[tex] - 17 < 17[/tex]

Is a solution.

[tex]3( 5) - 5 < 17[/tex]

[tex]10 < 17[/tex]

Is a solution.

[tex]3(7) - 5 < 17[/tex]

[tex]16 < 17[/tex]

Is a solution.

[tex]3( 12) - 5 < 17[/tex]

[tex]31 < 17[/tex]

Is not a solution.

12 is not a solution.

Step-by-step explanation:

i) Since,

Angles on the same side of a transversal in a parallelogram, there sum is 180° so,

<RGM + <GMA = 180°

=> <RGM = 180° - <GMA

=> <RGM = 180° - 66°

=> <RGM = 114° (Ans)

ii) Since,

Opposite angles of a diagonal as a transversal (here RM) are equal so,

<GRP = <PMA = 32°

As we have <GMA = 66° so,

=> <GMP = <GMA - <PMA

= 66° - 32°

=> <GMP = 34° (Ans)

iii) Since,

Opposite angles of a parallelogram are equal so,

<RGM = <RAM = 114°

As we have <PAM = 41° so,

=> <GAR = <RAM - <PAM

= 114° - 41°

=> <GAR = 73° (Ans)

iv) Since,

We got <PMA = 32° and <PAM = 41°, so by angle sum property of a triangle PMA,

=> <MPA = 180° - 32° - 41°

=> <MPA = 107° (Ans)

Answer:

x = 115° , y = 65° , z = 115°

Step-by-step explanation:

The figure is a parallelogram.

Consecutive angles are supplementary ( sum to 180° ) , then

x + 65° = 180 ( subtract 65° from both sides )

x = 115°

Opposite angles are congruent , then

y = 65°

z = x = 115°

Answer:

X = 814 rounded to 4 decimal place = 8140

Step-by-step explanation:

Hope this helped.

Answer: b

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

Just do -3 times 4 which gives you -12