Find the slope of the line.

The solution for the given system of equations:

x = 6 and y = 6.

Kana is incorrect about the solutions of the given equations.

Algebraic expressions and equations follow the same set of rules as numerical expressions and equations. The order of operations is preserved, and the laws governing addition and multiplication still apply.

Associative: a + ( b + c ) = ( a + b ) + c , a ( b c ) = ( a b ) c

Identity: a + 0 = a , a ⋅ 1 = a

Inverse: a + ( − a ) = 0 , a ⋅ 1 a = 1

Distributive: a ( b + c ) = a b + a c

Given equations,

4x-2y=12        -----(a)

2x+2y=24            -----(b)

Multiplying -2 to the equation (b) like kana solution

-2 (2x+2y=24 )

By Distributive property

-2(2x+2y) = -2(24)

- 4x - 4y = - 48     ---------(c)

Now adding equation (a) and equation(c)

    4x - 2y = 12

  - 4x - 4y = - 48

__+___+____+__

         - 6y  =  -36

⇒ y = 36/6 = 6.

Putting value of y in equation (b).

2(x) + 2(6) = 24

2x + 12 = 24

2x = 24 - 12

2x = 12

x =12/2 = 6

By the above calculation,

Value of x = 6 and

value of y = 6.

Hence, for the system of equations given

the solutions are:

x = 6 and y = 6

which proves that Kana is incorrect that there are no solutions.

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Answer:

(2,1)

6928ft

59.0813m

26 1/4m

Step-by-step explanation:

Area of a trapezoid = (a+b)*h/2 so (100+150)*80/2

= 10000

Area of a rectangle = l*w so 48*64

=3072

10000-3072 = 6928

The surface area of a square pyramid is A=a^2+2a√a^2/4+h^2 which is A=4^2+2(4)√(4)^2/4+(5)^2 which = 59.08

Volume of a rectangular prism is l*w*h so 3.5*1.25*6 = 26.25 which is equal to 26 1/4

Answer:

because SRC is the outer angle of the triangle STR

=> SRC = STR + TSR

<=> 101 = 4x + 12 + 7x + 12

<=> 101 = 11x + 24

=> 11x = 77

<=> x = 7

Answer:

7

Step-by-step explanation:

➝4x+12+7x+12=101°

➝4x+7x+12+12=101°

➝11x+24=101°

➝11x=101-24

➝11x=77

➝x=77/11

➝x=7

Answer:

Step-by-step explanation:

8 over 2

Answer:

Exact Form:

7 √ 53 /53

Decimal Form:

0.96152394

Step-by-step explanation:

Answer:

thanks i appreciate it                                                                        

Answer:

Thank you Do you Have a question Or?

Answer:

11. Volume = 2181.2mm^3

12. Surface Area = 1204.49mm^2

Step-by-step explanation:

We first need to find the hypotenuse side of the triangle using the Pythagorean theorem:

a^2+b^2 = c^2

13.3^2+20.5^2 = c^2

176.89+420.25 = c^2

597.14 = c^2

24.44 = c

Now we can find the volume using the formula:

V = 1/4(16)sqrt-13.3^4+2(13.3*20.5)^2+2(13.3*24.44)^2

-20.5^4+2(20.5*24.44)^2-24.44^4

V = 2181.2mm^3

To find the surface area using the surface area formula:

A = (13.3*16)+(20.5*16)+(24.44*16)+1/2sqrt

13.3^4+2(13.3*20.5)^2+2(13.3*24.44)^2

-20.5^4+2(20.5*24.44)^2-24.44^4

A = 1204.49mm^2

Answer:

A≈276.46km²

d Diameter

8

km

h Height

7

km

The dimensions of the box if it is to use the minimum possible amount of metal are,

⇒ 2.714 m, 2.714 m, 1.358 m

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A container with an open top is to have 10 m³ capacity.

Now,

Let the dimensions are x, y and z.

Since, Volume of box = 10 m³

Hence, We get;

⇒ xyz = 10

⇒ z = 10/xy

Since, A container is open in top.

Hence, The surface area = 2xz + 2yz + xy

Substitute z = 10/xy;

⇒ S.A = 2x (10/xy) + 2y (10/xy) + xy

          = 20/y + 20/x + xy

For minimum metal;

⇒ d (S.A)/ dx = 0

⇒ - 20/x² + y = 0

⇒ y = 20/x²  ..(i)

And, d (S.A) / dy = 0

⇒ - 20/y² + x = 0

⇒ x = 20/y²   ..(ii)

Divide equation (i) and ((ii);

⇒ x = y

Hence, We get;

⇒ xyz = 10

⇒ x³ = 10

⇒ x = 2.714

And, y = 2.714

So, The value of z is,

⇒ z = 10/xy

⇒ z = 10 / 2.714×2.714

⇒ z = 1.358 m

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First, let's find Maura's running speed by using the information that Carlos runs at a rate that is 25% slower than Maura's rate. If Carlos runs at a rate of 6 miles per hour, then Maura runs at a rate of 6 * 1.25 = 7.5 miles per hour.

Next, let's calculate how long it takes for Carlos to finish the marathon. We know that Carlos runs at a rate of 6 miles per hour and the marathon is 26 miles long. So we can use the formula:

time = distance/rate

time = 26/6

time = 4.33 hours

Now let's find how long it takes for Maura to finish the marathon. We know that Maura runs at a rate of 7.5 miles per hour and the marathon is 26 miles long. So we can use the formula again:

time = 26/7.5

time = 3.47 hours

Finally, let's convert Jacob's time of 2 hours and 36 minutes to hours. We can use the formula:

time = 2 + (36/60)

time = 2 + 0.6

time = 2.6 hours

In conclusion, Carlos takes 4.33 hours, Maura takes 3.47 hours and Jacob takes 2.6 hours to finish the marathon.

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Answer:

23

Step-by-step explanation:

25+22+21+23+24= 115

115/5 = 23.

Answer:

The mean is 23 Your welcome

Answer:

c) 29

Step-by-step explanation:

a and c are given as 18 and 11, respectively.

[tex]a + c\\= 18 + 11\\=29[/tex]

Answer:

k= 1316/117

Step-by-step explanation:

Answer:

k = 1316/117

Step-by-step explanation:

Solve for kk by simplifying both sides of the equation, then isolating the variable.

Multiply both sides of the equation by 659659.

65/9 x 9k/65 = 65/9 x 1316/845

Simplify both sides of the equation.

Simplify the left side.

k = 65/9 x 1316/845

Simplify the right side.

Now your answer is:

k = 1316/117

Answer:

2

Step-by-step explanation:

Rise over run.

The line goes up two and over one. So you get 2/1. Then you can just get rid of the denominator. 'Cause that's how fractions work. You can get rid and add 1 as a denominator.

Answer:

The slope is 2.

Step-by-step explanation:

Let me know if you need an explanation.

hope this helps and is right :)

Answer:

13

Step-by-step explanation:

42/2 = 21

34-21 = 13

Therefore , the solution to the given problem of circle comes out to be area = 25.1 sq cm and perimeter=12.5 cm.

Every position in a circle's plane is equally spaced from the centre and is considered to be a closed, double object. A line of reflected symmetry is created as a result of each line traversing the circle. Each angle also has an axis of symmetry that circles its center.

Here,

Given : Diameter = 8

Radius = 8/2 = 4cm

To find the semi circle area

=>semi circle area = πr²

=>  22/7 * 4² *1/2

=>  25.1 sq cm

To find the perimeter of semi circle :

=> 2πr /2

=> πr

=> 22/7*4

=>12.5 cm

Therefore , the solution to the given problem of circle comes out to be area = 25.1 sq cm and perimeter=12.5 cm.

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Answer:

234 pounds

Step-by-step explanation:

100% - 2.5% = 97.5%

(0.975)(240) = 234

234 pounds

Answer:

Dan pays £234 now.

Step-by-step explanation:

240 - 2.5% * 240 = 234

Therefore, he pays £234.

Thenks and mark me brainliest :))))

Answer:

24 cm^3

Step-by-step explanation:

you do length times width times height.

Answer: 1-i

Step-by-step explanation: If your in algebra 2 then this is the answer

Answer:

28 / 153 or around an 18.3% chance.

Step-by-step explanation:

P (b, b) = (total blue / total socks) × (total blue – 1 / total socks – 1) =

(8 / 18) × (7 / 17) = 56 / 306 = 28 / 153

Answer:

John: 19

Jack: 9

Step-by-step explanation:

Answer:

Jack = 9

John = 19

Step-by-step explanation:

Let  the  number  that  Jack  solved  =  N

Then John solved  2N +  1

So

N  + 2N +  1  =   28

3N   =  28  -  1

3N  =   27

N =  27  / 3    =  9   =   number Jack solved

2(9) + 1   =  19  =  number John solved

Answer:

it is b because I did the problem yes it is b

Answer:

4*0 (the last one)

Step-by-step explanation:

Answer: 0.336

Step-by-step explanation:

n=7

r=2,1,0

p=44%=0.44

q=1-0.44=0.56

7C2(0.44)^2(0.55)^5 +

7C1(0.44)^1(0.56)^6 +

7C0(0.44)^0(0.56)^7

Evaluate:

0.2239055109+

0.0949902167 +

0.0172709485

Sum: 0.33617= 0.336

Answer: Three and Nine Hundreths

3 9/100

309%

Step-by-step explanation:

i only know 3 sorry :(

Answer:

: Three and Nine Hundredths

: 3 9/100

: 309%

: 3 90/1000

Step-by-step explanation: These are some that I could think of. The last one is an equivalent fraction to the second one. I hope this helped.

Answer:

Sa Corregidor nanumpa sai Pang. Quezon para sa kanyang ikalawang termino bilang pangulo ng pamahalaang komonwelt

Step-by-step explanation:

Answer:

explanatory variable

Step-by-step explanation:

Plato/Edmentum

Answer:

Two thousand and twenty three

Step-by-step explanation:

Answer: Two and twenty-three thousandths

Step-by-step explanation:

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

Work Shown:

Apply the pythagorean theorem

a^2 + b^2 = c^2

12^2 + b^2 = 15^2

144 + b^2 = 225

b^2 = 225-144

b^2 = 81

b = sqrt(81)

b = 9

Answer:

9

I am not able to upload my answer unless its 20 characters long

On solving the provided question, we can say that - the plotting data will be done by 3 to 24 ; 6 to 61 ; 5 to 56; 1 to 15

A graph that demonstrates the relationship between two or more variables is the most common way to depict a data set using a chart. Both hand-drawn and computer-drawn diagrams are acceptable. Start at the origin and move 2 units to the right before moving 3 units up to draw the coordinates for the point 2,3 on the coordinate plane. Make your points clear. As a result, the pink dot with the letter P on it denotes 2.3. A number line containing each value in your data collection should be first created before making a line chart. Then, on the number line, put an X (or dot) over each value of the data. Put an X over the number for each time a value appears in a record where it does.

so we have to plot data from the given data, we can do by

3 to 24 ; 6 to 61 ; 5 to 56; 1 to 15

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