Gerald wants to buy a sweater that is $41.60 because it is on sale for 20% off

Given:

The equation is:

[tex]\dfrac{x}{y}=\dfrac{2}{9}[/tex]

To find:

The constant of proportionality.

Solution:

If y is directly proportional to x, then

[tex]y\propto x[/tex]

[tex]y=kx[/tex]                        ...(i)

Where, k is the constant of proportionality.

We have,

[tex]\dfrac{x}{y}=\dfrac{2}{9}[/tex]

On cross multiplication, we get

[tex]9x=2y[/tex]

Divide both sides by 2.

[tex]\dfrac{9}{2}x=y[/tex]

Interchange the sides.

[tex]y=\dfrac{9}{2}x[/tex]                ...(ii)

On comparing (i) and (ii), we get

[tex]k=\dfrac{9}{2}[/tex]

The constant of proportionality is [tex]\dfrac{9}{2}[/tex]. Therefore, the correct option is B.

Answer:

y=-5/9

Step-by-step explanation:

it says 9y=-5

divide both sides by 9

y=-5/9

Answer:

-8x^7

Step-by-step explanation:  

Hint :

Formula :

[tex] a^ma^n=a^{m+n}[/tex]

Answer :

[tex] - 8 {x}^{7} [/tex]

Explanation :

[tex] - 2x^5(4x^2)[/tex]

[tex]−2 \times 4x^5x^2[/tex]

[tex]−2 \times 4( {x}^{2} x^5)[/tex]

[tex]−2 \times 4 {x}^{2 + 5} [/tex]

[tex]−2 \times 4x^7[/tex]

[tex] - 8 {x}^{7} [/tex]

Answer:

(B) Two number is the answer of your question.

Answer:The answer is B

Step-by-step explanation:

Answer:

The area of a circle is pi times the radius squared (A = π r²). Learn how to use this formula to find the area of a circle when given the diameter.

Answer:

area of a circle=200.96a^12

Step-by-step explanation:

area of circle=πr^2

=3.14*([tex]8a^{6}[/tex])^2

=3.14*64a^12

=200.96a^12

Answer:

2

Step-by-step explanation:

Given:

Radius of a circle = 21 m

Area of a sector of the circle = 27.72 m²

To find:

The angle at the center of the circle.​

Solution:

The area of a second is:

[tex]A=\pi r^2\times \dfrac{\theta}{360^\circ}[/tex]

Where, r is the radius of the circle and [tex]\theta[/tex] is the central angle.

Putting [tex]\pi=\dfrac{22}{7},\ r=21,\ A=27.72[/tex] in the above formula, we get

[tex]27.72=\dfrac{22}{7}\times (21)^2\times \dfrac{\theta}{360^\circ}[/tex]

[tex]27.72=1386\times \dfrac{\theta}{360^\circ}[/tex]

[tex]27.72=3.85^\circ \times \theta[/tex]

[tex]\dfrac{27.72}{3.85^\circ }=\theta[/tex]

[tex]7.2^\circ=\theta[/tex]

Therefore, the central angle of the sector is [tex]7.2^\circ[/tex].

Answer:

576'' squared

Step-by-step explanation:

Answer:

X= 7.5 Y=75

Step-by-step explanation:

Answer:

-1,024

Step-by-step explanation:

4×2=8

8×2=16

and so on repeating 7 times

Answer:

5 + 9y

Step-by-step explanation:

When it says plus, it means +. When it says the product of 9 and y, it means 9 × y or 9y.

Answer:

I hope This will Help u.. Plz mark me as Brilliant please

Step-by-step explanation:

Before you get started, take this readiness quiz.

Simplify: 

If you missed this problem, review (Figure).

Solve Equations with Constants on Both Sides

In all the equations we have solved so far, all the variable terms were on only one side of the equation with the constants on the other side. This does not happen all the time—so now we will learn to solve equations in which the variable terms, or constant terms, or both are on both sides of the equation.

Our strategy will involve choosing one side of the equation to be the “variable side”, and the other side of the equation to be the “constant side.” Then, we will use the Subtraction and Addition Properties of Equality to get all the variable terms together on one side of the equation and the constant terms together on the other side.

By doing this, we will transform the equation that began with variables and constants on both sides into the form  We already know how to solve equations of this form by using the Division or Multiplication Properties of Equality.

Solve: 

Solution

In this equation, the variable is found only on the left side. It makes sense to call the left side the “variable” side. Therefore, the right side will be the “constant” side. We will write the labels above the equation to help us remember what goes where.



Since the left side is the “”, or variable side, the 8 is out of place. We must “undo” adding 8 by subtracting 8, and to keep the equality we must subtract 8 from both sides.

Use the Subtraction Property of Equality.Simplify.Now all the variables are on the left and the constant on the right.

The equation looks like those you learned to solve earlier.Use the Division Property of Equality.Simplify.Check:Let .

Solve: 



Solve: 



Solve: 

Solution

Notice, the variable is only on the left side of the equation, so we will call this side the “variable” side, and the right side will be the “constant” side. Since the left side is the “variable” side, the 9 is out of place. It is subtracted from the , so to “undo” subtraction, add 9 to both sides. Remember, whatever you do to the left, you must do to the right.

Answer:

Division property of equality

Step-by-step explanation:

[tex] - 2m = 40[/tex]

[tex]m = - 20[/tex]

Answer:

Height is 0.5

Step-by-step explanation:

height of parallelogram = area ÷ base

= 2.5 ÷ 5 = 0.5

Answer:

the answer is 20

Step-by-step explanation:

5×12 = 60

which means he had 60 points feom hitting the target

60-20=40

therefor he lost 40 points miing the target

40÷2=20

therefor he missed the target 20 times

Answer:

2x²+5x-6 = 0

using the quadratic formula

x = 0.886 and x= -3.386

Answer:

13 points

Step-by-step explanation:

Equation for "There are 50 athletes signed up for a neighborhood basketball competition. Players can select to play in the 6-player games ("3 on 3") or the 2-player games ("1 on 1").

Equation for "If the neighborhood holds 13 total games and all 50 athletes participate"

How many 6 player games?

How many 2 player games?

The answer to this question is:

7 two-player games are played

6  six-player games are played

What are system of equations?

A collection of two or more equations with the same set of unknowns is referred to as a system of equations.

Systems of linear equations in two variables can be solved in one of three ways:

Solution:

Given:

Total games = 13

Total number of athletes participated = 50

Find:

6-player games played = ?

2-player games played = ?

Step-1:

let x denote the total 2-player games played &

    y denote the total 6-player games played.

Hence the equation for the total number of games played is:

                     x + y = 13 ..............eq(1)

Now, the equation for the total number of games played by the athletes is:

                    2x + 6y = 50............eq(2)

Further eq(2) can be reduced as-

                   2(x + 3y) = 50

                    x + 3y = 50/2

                     x + 3y = 25.........eq(2)

Step-2:

Solving eq(1) and eq(2) by using elimination method as follows:

                      x + y = 13

                      x + 3y = 25

Step-3:      

In the elimination method positive signs changes to negative and x gets eliminated so we get the y value as:    

-2y = -12

y = 6

Substituting y value in eq(1): x+ y = 13

                                               x + 6 = 13

                                               x = 13 - 6

                                              x = 7

Hence we found out that total 7 two-player games and 6 six-player games were played.  

Learn more about "System of equations" here:

brainly.com/question/13729904    

#SPJ2      

Answer:

0

Step-by-step explanation:

37 + (-37)

open the bracket

remember when u multiply the bracket - sign and + sign also gets multiplied and (-) * (+) is( -) . So

37 - 37

0

The Missing numbers are :

Each term in the pattern is formed by the successive addition of " 0.5 " in the previous term.

therefore, the sequence will be like :

[tex] \hookrightarrow1.9, \: 2.4, \: 2.9, \: 3.4, \: 3.9, \: 4.4[/tex]

And, missing terms are :

1.9 and 3.4 respectively

[tex] \mathfrak{hope \: it \: helps \: you.....}[/tex]

Answer:

[tex]9+y[/tex] ≤ [tex]16[/tex]

Step-by-step explanation:

The sum of [tex]9[/tex] and [tex]y[/tex] which is [tex]9+y[/tex] is less than or equal to 16, which is ≤ [tex]16[/tex]

Hope this is helpful.

Answer:

8 feet, 256 ft^2

Step-by-step explanation:

The function of the area can be graphically rapresented with a parabola that opens downwards

in this specific case the vertex is the maximum point of the parabola.

(X) Vertex = -64/-8 = 8 feet

(Y) Vertex = -4(64) + 512 = -256 + 512 = 256 ft^2

Answer:

Maximum Width = 8 feet.

Maximum area = 256 ft^2.

Step-by-step explanation:

Part A.

A = -4w^2 + 64w

Finding the derivative:

dA/dw = -8w + 64 = 0  for maxm/minm, so

-8w  = -64

w = 8

The second derivative is -8 so w = 8 gives a maximum.

Part B.

The maximum area = -4(8)^2 + 64*8

= -256 + 512

= 256 ft^2.

Answer:

its the 3rd answer

Step-by-step explanation:

Answer:

t-h=negative

Step-by-step explanation:

Answer:

postive

Step-by-step explanation:

positive collums so it's positive

B. [tex] \sqrt{x} + \sqrt{x - 1} [/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \frac{1}{ \sqrt{x} - \sqrt{x - 1} } \\ \\= \frac{1}{ \sqrt{x} - \sqrt{x - 1} } \times \frac{ \sqrt{x} + \sqrt{x - 1} }{ \sqrt{x} + \sqrt{x - 1} } \\ \\ = \frac{ \sqrt{x} + \sqrt{x - 1} }{ ({ \sqrt{x} })^{2} - { (\sqrt{x - 1} })^{2} } \\\\ [∵(a + b)(a - b) = {a}^{2} - {b}^{2} ] \\ \\= \frac{ \sqrt{x} + \sqrt{x - 1} }{x - (x - 1)} \\ \\= \frac{ \sqrt{x} + \sqrt{x - 1} }{ x - x + 1} \\ \\= \sqrt{x} + \sqrt{x - 1} [/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Answer:

21:30 (Both numbers are multiplied by 3)

35:50 (Both numbers are multiplied by 5)

Answer: