A system of liner equation has been graphed in the diagram. Determine a responsible solution for the system of equation.

Answer:

V = 612.3

Step-by-step explanation:

d = 6

r = 3

Volume of a cylinder:

V = πr²h

V = 3.14(3²)(20)

V = 3.14(9)(20)

V = 565.2

Volume of a cone:

V = πr²(h/3)

V = 3.14(3²)(5/3)

V = 3.14(9)(5/3)

V = 47.1

Combined:

565.2 + 47.1

612.3

The square plot of land has a larger area when x is 3.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To find the area of the square plot, we can use the formula for the area of a square: A = [tex]s^2,[/tex] where s is the length of a side of the square. In this case, the side length is 6x³ feet, so the area of the square plot is:

A = [tex](6x³)^2 = 36x^6[/tex]square feet

To find the area of the rectangular plot, we can use the formula for the area of a rectangle: A = lw, where l is the length of the rectangle and w is the width. In this case, the length is 3x⁵ feet and the width is 7x² feet, so the area of the rectangular plot is:

A = (3x⁵)(7x²) = 21x⁷ square feet

To analyse which plot of land has a larger area if x is 3, we can substitute x = 3 into the expressions for the areas of the plots:

Area of square plot[tex]= 36(3)^6[/tex] [tex]= 11664[/tex] square feet

Area of rectangular plot =[tex]21(3)^7 = 5103[/tex] square feet

Therefore, the square plot of land has a larger area when x is 3.

To learn more about Algebraic expression from given link.

brainly.com/question/28884894

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Answer:

k

Step-by-step explanation:

Answer:

D. 6x2 + 3x - 7

Step-by-step explanation:

Answer:

8 because I just guess 8

Step-by-step explanation:

because I that's all you need to know

Answer:

1: 24

Step-by-step explanation:

The ratio = size of smaller object/size of larger object = Height of dollhouse piano, h/height of real piano, H

H = 3 ft 6 in = 12 in/ft × 3 ft + 6 in = 36 in + 6 in = 42 in

h = 1³/₄ in = 7/4 in

So ratio = h/H = 7/4 in ÷ 42 in = 7/4 in × 1/42 in = 1/4 × 1/6 = 1/24

So ratio = h/H = 1/24 ⇒ h:H = 1: 24

Answer:

55/100 is equivalent to 55% but the fraction in lower terms or simplified is 11/20 hope i helped!

Step-by-step explanation:

Answer:

multiplication

Step-by-step explanation:

Answer:

The cost of one ticket is $14.75

Step-by-step explanation:

To find the cost of one ticket we need to divide 280.25 by 19

=$14.75

plz mark me as brainliest

Answer:

The cost of one ticket is $14.75

Step-by-step explanation:

The cost of one ticket is $14.75

To find the cost of one ticket we need to divide 280.25 by 19

=$14.75

please mark as brainliest

Answer:

the second one and the first one

Step-by-step explanation:

Diameter is double radius so divide by two for radius then times by pi and you have area and when it comes to area is it always sqaured

Answer:

true

Step-by-step explanation:

a rhombus always has opposing parallel sides, qualifying it as a parallelogram

Answer:

true

Step-by-step explanation:

all rhombuses have opposite sides equal and parallel and opposite angles are congruent

Answer: 168

Step-by-step explanation: just multiply base times length times height

Answer:

20 sq un

Step-by-step explanation:

To find the area of a parallelogram, it is the same formula to find a rectangles area. L x H or Base x Height.

Have a great day!

Step-by-step explanation:

A invested 450

B invested 150

C invested 600

total investment was 1200

share of A is 450/1200 = .375

share of B is 150/1200 = .125

share of C is 600/1200 = .5

C received a profit of 24.70.

that would be .5 of the total profit.

if we let x = total profit, we get .5 * x = 24.70

solve for x to get x = 24.70 / .5 = 49.40

A share of total profit = .375 * 49.4 = 18.525

B share of total profit = .125 * 49.4 = 6.175

C share of total profit .5 * 49.4 = 24.7

total profit = 49.4 as we had calculated earlier.

Answer:

Total number of bottles Bar A get = 126

Total number of bottles Bar B get = 251

Total number of bottles Bar C get = 502

Step-by-step explanation:

Given - A distributor must distribute 879 bottles of beer among 3 bars. If the order of bar A is half that of bar B and a quarter of bar C.

To find - How many bottles do each bar get?

Proof -

Let us assume that

Total number of bottles Bar A get = x

Total number of bottles Bar B get = y

Total number of bottles Bar C get = z

Now,

Given that

Total bottles distributed = 879

⇒x + y + z = 879                  ..............(1)

Now,

Given that, the order of bar A is half that of bar B and a quarter of bar C

⇒x = [tex]\frac{1}{2}y[/tex] , x = [tex]\frac{1}{4} z[/tex]

⇒y = 2x                          .............(2)

  z = 4x                          ..............(3)

Now,

Put the values of y and z in equation (1), we get

x + 2x + 4x = 879

⇒7x = 879

⇒x = [tex]\frac{879}{7}[/tex] = 125.57

⇒y = 2(125.57) = 251.14

⇒z = 4(125.57) = 502.28

∴ we get

Total number of bottles Bar A get = x = 125.57 ≈ 126

Total number of bottles Bar B get = y = 251.14 ≈ 251

Total number of bottles Bar C get = z = 502.28  ≈ 502

Given:

The inequalities are:

1. [tex]x-85.2\leq 14.6[/tex]

2. [tex]\dfrac{x}{6}>-23[/tex]

3. [tex]x-43<37[/tex]

4. [tex]8x\leq 128[/tex]

5. [tex]x+4.7>21.6[/tex]

To find:

The inequalities that have 4 as a solution.

Solution:

We need to put [tex]x=4[/tex] in each inequality, to check whether it is a solution or not.

1. The inequality is

[tex]x-85.2\leq 14.6[/tex]

Putting [tex]x=4[/tex], we get

[tex]4-85.2\leq 14.6[/tex]

[tex]-81.2\leq 14.6[/tex]

This statement is true. So, the inequality [tex]x-85.2\leq 14.6[/tex] has 4 as a solution.

2. The inequality is

[tex]\dfrac{x}{6}>-23[/tex]

Putting [tex]x=4[/tex], we get

[tex]\dfrac{4}{6}>-23[/tex]

[tex]0.67\leq -23[/tex]

This statement is true. So, the inequality [tex]\dfrac{x}{6}>-23[/tex] has 4 as a solution.

3. The inequality is

[tex]x-43<37[/tex]

Putting [tex]x=4[/tex], we get

[tex]4-43<37[/tex]

[tex]-39<37[/tex]

This statement is true. So, the inequality [tex]x-43<37[/tex] has 4 as a solution.

4. The inequality is

[tex]8x\leq 128[/tex]

Putting [tex]x=4[/tex], we get

[tex]8(4)\leq 128[/tex]

[tex]32\leq 128[/tex]

This statement is true. So, the inequality [tex]8x\leq 128[/tex] has 4 as a solution.

5. The inequality is

[tex]x+4.7>21.6[/tex]

Putting [tex]x=4[/tex], we get

[tex]4+4.7>21.6[/tex]

[tex]8.7>21.6[/tex]

This statement is false. So,4 is not a solution of the inequality [tex]x+4.7>21.6[/tex].

Answer:

D

Step-by-step explanation:

hope it helps .

sorry about the pic , kinda hard to get the whole

Answer:

3/20

Step-by-step explanation:

Fabric left over = total fabric purchased - total fabric used to make a tote bag

total fabric used to make a tote bag = [tex]4\frac{2}{8}[/tex] × [tex]\frac{1}{5}[/tex] =

[tex]\frac{34}{8}[/tex] × [tex]\frac{1}{5}[/tex] = [tex]\frac{34}{40}[/tex]

fabric left over = 1 - 34/40

40 / 40 - 34/40  = 6 /40

To transform to the simplest form. divide both the numerator and the denominator by 2

3/20

Answer:

The interest rate was 5.24%.

Step-by-step explanation:

You can use the following formula to calculate the interest rate:

i=n*((A/P)^1/nt-1), where:

i= interest rate

n= number of times interest is compounded= 4

A=value of investment= 3425

P= principal= 2500

t=time= 6

Now, you can replace the values on the formula:

i=4*((3425/2500)^1/4*6-1)

i=4*(1.37^1/24-1)

i=4*0.0131

i=0.0524

According to this, the answer is that the interest rate was 5.24%.

Answer:

$33.92 ($1.92 in tax)

Step-by-step explanation:

% values are 1/100ths. 32.00/100=0.32. 0.32(6) = 1.92.

 $32.00

+   $1.92

=$33.92 total.

Answer:

l=-5,-2

m=-3,-3

n=-6,-6

Step-by-step explanation:

Answer: The value of G = 4.5

Step-by-step explanation:

As per given,

[tex]G\propto \dfrac{j^2}{m}[/tex]

When we replace proportional sign with an equal to sign, we get

[tex]G=k\dfrac{j^2}{m}[/tex], where k = constant

If G=0.05 when j = 0.4 and m=1.6, then

[tex]0.05=k\dfrac{0.4^2}{1.6}\\\\ 0.05=k(0.1)\\\\ k=0.5[/tex]

Now,

[tex]G=0.5\dfrac{j^2}{m}\\\\\Rightarrow\ G=0.5\dfrac{6^2}{4}\\\\\Rightarrow\ G=4.5[/tex]

hence, when j =6 and m=4, the value of G = 4.5

Answer:

-1.4

Step-by-step explanation:

5x+7=0

5x=-7

x= -1.4

Answer:

1.4

Step-by-step explanation:

5x + 7

x +[tex]\frac{7}{5}[/tex]

x = 1.4

Answer:

Length of rectangle = 16 cm

Width of rectangle = 4 cm

Step-by-step explanation:

Given:

Area of rectangle = 64 cm²

Find:

Length and width

Computation:

Assume;

Length of rectangle = a

So,

Width of rectangle = a -12

Area of rectangle = l x b

So,

a(a-12) = 64

a² - 12a - 64 = 0

a² - (16-4)a - 64 = 0

a² - 16a+ 4a - 64 = 0

a (a-16) + 4(a-16)= 0

(a-16)(a+4) = 0

a= 16 , a = -4

So,

Length of rectangle = 16 cm

Width of rectangle = a -12

Width of rectangle = 16 -12

Width of rectangle = 4 cm