The Area of a rectangular carpet is 18 m2. The length of the carpet is 3m longer than the width. How long is the carpet

Answer:

B. Positive linear

Step-by-step explanation:

First, this graph is a linear graph because a linear graph is a straight line. The graph in the diagram is also a straight line, so it is linear.
Also, notice how as x increases, y increases. This means that the graph is positive

Answer:

approximately 5.6

Step-by-step explanation:

Cross multiply

16a=90

a=5.625

0Answer: 9.0

Step-by-step explanation:

.

The range, given the cost of surfboard rentals, would be $ 140.

The interquartile range of the cost of surfboard rentals is $ 56.

There is an outlier which is the cost of 6 days of rentals which is $ 168.

To find the range, the formula is :

= Largest cost - Lowest cost

To find these costs, find the cost of the days of rentals :

1 day :                                  2 days                            3 days :

= 28 x 1                                = 28 x 2                         = 28 x 3

= $ 28                                   = $ 56                          = $ 84

6 days :

= 28 x 6

= $ 168

The range is therefore :

= 168 - 28

= $ 140

To find the Interquartile range, first find the First Quartile and the Third Quartile after ordering the costs:

Order of costs :

28, 28, 28, 56, 56, 56, 84, 84, 84, 168

First quartile position :

= 1 / 4 x ( n + 1 )

= 1 / 4 x ( 10 + 1 )

= 3 rd position which is $ 28

Third quartile position :

= 3 / 4 x ( n + 1 )

= 3 / 4 x ( 10 + 1 )

= 8 th position which is $ 84

The Interquartile range is :

= 84 - 28

= $ 56

The outlier is the cost of 6 days which is $ 168. This is a rental as it is much larger than other costs.

Find out more on outliers at https://brainly.com/question/29546240

#SPJ1

Answer:

Inventory turnover ratio is 3.74

explanation:

Inventory turnover is a ratio of the number of times a company's inventory is sold and replaced in a given period.

Inventory turn over ratio is calculated as ; Cost of goods sold ÷ Average stock of goods sold

= $35,500 / $9500

= 3.74

The value of x = 16 + 4\(\sqrt{15}\)

Given,

To solve the equations :

\(\sqrt{x+3} - \sqrt{x -1}\) = -2

Solve by the given steps :

Now, According to the question:

Step 1: Simplify to obtain the radical form on one side of the equation:

\(\sqrt{x+3} - \sqrt{x -1}\) = -2

Step 2: Raise both sides of the equation to the power of 2

\((\sqrt{x+3} - \sqrt{x -1})^2 = (-2)^2\)

x + 3 + 2x - 1 -2 \(\sqrt{(x+3)(2x -1)}\) = 4

3x - 2 = 2 \(\sqrt{(x+3)(2x -1)}\)

\((3x - 2)^2 = [2\sqrt{(x+3)(2x -1)}]^2\)

9\(x^{2}\) - 12x + 4 = 4 (2\(x^{2}\) + 5x -3)

Step 3: Apply the zero product rule, Simplify to get a quadratic equation :

\(x^{2}\) - 32x +16 = 0

Step 4: Use the quadratic formula to find the values of x :

\(x^{2}\) - 32x + 16 =0

x = 16 + 4\(\sqrt{15}\) and x = 16 - 4\(\sqrt{15}\)

x = 16 - 4\(\sqrt{15}\)  (It is rejected)

So, the value of x = 16 + 4\(\sqrt{15}\)

Learn more about Quadratic Formula at:

https://brainly.com/question/9300679

#SPJ1

Answer: Raise both sides of the equation to the power of 2

simplify to obtain the final radical term on one side of the equation

raise both sides of the equation to the power of 2 again

simplify to get a quadratic equation

use the quadratic formula to find the xvalues

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

let x be the number , then

\(\frac{3}{4}\) x = 27 ( multiply both sides by 4 to clear the fraction )

3x = 108 ( divide both sides by 3 )

x = 36

the number is 36, so

\(\frac{2}{9}\) × 36 = 2 × 4 = 8

The two ninths of the number is 8

We know that Three quarters of a number is  \(\frac{3}{4}\)  times of a number

Hence we will assume the number x ,

                     \(\frac{3}{4} of x = 27\)

                     \(x = 27 X \frac{4}{3}\)

                       \(x = 36\)

Now as we know the number is 36

Therefore , the two ninths of the number assumed as y

We will multiply the number 36 by 2 and then divide by 9

Hence,

                           \(y = 36 X \frac{2}{9}\)

                               \(y = 8\)

Thus, the two ninths of the number 36  is 8                            

Practice more quarters related questions

https://brainly.in/question/13325111

Answer:

LK = 7 as this is a 45-45-90 Triangle

Step-by-step explanation:

Hello! To begin answering this question, one must understand that angle the Pythagorean Theorem applies here! Hypotenuse squared = leg squared + leg squared, (7 square root of 2)^2 = 7^2 + X^2, 7^7 + 7^7 = (7 square root of 2)^2, 98 = 98.

Answer:

Step-by-step explanation:

Given:

\(\alpha, \beta, \gamma\) are three interior angles of any triangle.

To prove:

\(\cos (\alpha+\beta+\gamma)=-1\)

Solution:

According to the angle sum property of a triangle, the sum of all three interior angle of a triangle is always 180 degrees.

It is given that, \(\alpha, \beta, \gamma\) are three interior angles of any triangle.

Using the angle sum property of triangles, we get

\(\alpha+\beta+\gamma =180^\circ\)              ...(i)

We need to prove,

\(\cos (\alpha+\beta+\gamma)=-1\)

Taking LHS, we get

\(LHS=\cos (\alpha+\beta+\gamma)\)

\(LHS=\cos (180^\circ)\)                [Using (i)]

\(LHS=-1\)

\(LHS=RHS\)

Hence proved.

Answer:

Choose

a

,

b

and

c

the make the equation true.

Step-by-step explanation:

A linear equation can be written in several forms. "Standard Form" is

a

x

+

b

y

=

c

where

a

,

b

and

c

are constants (numbers).

We want to make two equations that

(i) have this form,

(ii) do not have all the same solutions (the equations are not equivalent), and

(iii)

(

4

,

−

3

)

is a solution to both.

a

x

+

b

y

=

c

. We want

a

,

b

and

c

so that

a

(

4

)

+

b

(

−

3

)

=

c

The Sum is 1+ x² + x³ + \(x^4\) + \(x^5\) + ⋯ + \(x^{100\) = \(\sum^{100} _ {n=0}\) 1/( 1- x)

A finite series is one that has a finite number of terms.

If the series \(a_1\)+ \(a_2\) + \(a_3\) +... + a has n terms and is a finite series with n terms.

As a result, \(S_n\) is used to represent the series' sum as follows:

\(S_n\)=∑ \(a_n\)

Given:

1 + x + x² + x³ + \(x^4\) + \(x^5\) + ⋯ + \(x^{100\)

let P= 1/ 1-x

P - Px= 1

P= 1+ Px

 = 1 + (P)x

 = 1 + (1+ Px) x

 = 1+ x + Px²

 = 1+ x + (1+ Px)x²

 = 1+ x + x² + Px³ and so on

So, 1+ x² + x³ + \(x^4\) + \(x^5\) + ⋯ + \(x^{100\) = \(\sum^{100} _ {n=0}\) 1/( 1- x)

Learn more about series here:

https://brainly.com/question/23280277

#SPJ1

The meaning of the statement, "if the function has no parameters, then the class C is definable" is that if there are no parameters given then the class c can be defined with an empty set but if there are no parameters, then the class cannot be defined.

The meaning of the above statement is that if no parameters are provided for this function, then the given class represented as c can be defined with an empty set that is enclosed in parameters.

Also, if the parameters are given then the class c is not defined.

Learn more about defining functions here:

https://brainly.com/question/11624077

#SPJ1

Answer:

Least: 18:32

Middle: 5:8

Greatest: 11:16

The claim that is being made by Fabian is wrong and this can be proven by the steps below.

The percentage of a number is the part of the number that is being represented by per hundred when it is divided by the whole and multiply by 100.

The 25% of a number can not always be greater than the 10% of any other number and this can be proven by using two different numbers.

For example, the 25% of 150 = 25/100 ×150 = 3750/100

= 37.5

Using another number such as 1500, the 10% of the given number is calculated as follows:

10/100 × 1500 = 15000/100 = 150

From the given examples, the 25% of 150 is not greater than the 10 percent of 1500, therefore, 25% of a number can not always be greater than the 10% of any other number and this can be proven by using two different numbers.

Learn more about percentage here:

https://brainly.com/question/24304697

#SPJ1

Answer:

C. 54

Step-by-step explanation:

36/60=.6

90*.6=54

Answer:

1 got C.

60/36=1.66666667

60/(5/3)=36

90/(5/3)=54

Answer:

Aircraft A: 403 seats

Aircraft B: 298 seats

Step-by-step explanation:

Let's x represent the seats in Aircraft B

We have the equations:

Aircraft A: (x + 105)

Aircraft B: x

We Know

Their total number of seats is 701; find the number of seats for each aircraft.

We Take

x + (x + 105) = 701

2x + 105 = 701

2x = 596

x = 298 seats

So, there are 298 seats in Aircraft B

Aircraft A has how many seats?

We Take

701 - 298 = 403 seats

So, there are 403 seats in Aircraft A

Final Answers:

Aircraft A: 403 seats

Aircraft B: 298 seats

Answer: 21:9 and 42:18

Step-by-step explanation:

14:6 at its most basic form is 7:3, so find anything that could be equal to this if a number is multiplied on both sides.

21:9 is our simplified ratio multiplied by 3 on both sides.

42:18 is our simplified ratio multiplied by 6 on both sides.

But, the final ratio doesn't work, because 7 and 3 respectively cannot multiply to 13 and 8 with the same value.

Answer:

9y+7=2y+98

7y+7=98

7y = 91

y = 13

m<PDV = 2y+98

             = 2(13)+98

             = 26+98

             = 124

Answer:

23.75+0.35x=Y

Step-by-step explanation:

It starts at $23.75. $0.35 is per mile so that means it will have an x. Add the two up and it is y.

The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).

To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:

-8m²n - 7m²n = (-m²n) (8 + 7a)

Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.

For more such questions on polynomial, click on:

https://brainly.com/question/1600696

#SPJ8

Answer:

x = -3

y = -2

(-3, -2)

Step-by-step explanation:

x - 7y = 11

5x + 4y = -23

-----------------------

-5 (x - 7y = 11)

-5x + 35y = -55

--------------------------

-5x + 35y = -55

5x + 4y = -23

       39y = -78

     ÷39     ÷39

        y = -2

-----------------------------

x - 7y = 11

x -7(-2) = 11

x + 14 = 11

   -14    -14

x = -3

I hope this helps!

Answer:

Step-by-step explanation:

-5n + 1 = -24

-5n = -25

n = 5

-3(5)= -15

Step-by-step explanation:

-5n+1 = -24

-5n = -25

n = 5

-3n = 5*-3

-3n = -15

The general solution of the partial differential equation is:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

The partial differential equation (PDE) is given as:

Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)

Assume that the solution can be written as a product of two functions:

U(x, t) = X(x)T(t)

Substituting this into the PDE, we have:

X''(x)T(t) = (1/2)X(x)T'(t)

Dividing both sides by X(x)T(t), we get:

(X''(x))/X(x) = (1/2)(T'(t))/T(t)

Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:

(X''(x))/X(x) = -λ²

(1/2)(T'(t))/T(t) = -λ²

Simplifying the second equation, we have:

T'(t)/T(t) = -2λ²

Solving the second equation, we find:

T(t) = Ce^(-2λ²t)

Applying the boundary condition U(0, t) = 0, we have:

U(0, t) = X(0)T(t) = 0

Since T(t) ≠ 0, we must have X(0) = 0.

Applying the boundary condition U(3, t) = 0, we have:

U(3, t) = X(3)T(t) = 0

Again, since T(t) ≠ 0, we must have X(3) = 0.

Therefore, we can conclude that X(x) must satisfy the following boundary value problem:

X''(x)/X(x) = -λ²

X(0) = 0

X(3) = 0

The general solution to this ordinary differential equation is given by:

X(x) = Asin(λx) + Bcos(λx)

Applying the initial condition U(x, 0) = 5*sin(4πx), we have:

U(x, 0) = X(x)T(0) = X(x)C

Comparing this with the given initial condition, we can conclude that T(0) = C = 5.

Therefore, the complete solution for U(x, t) is given by:

U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)

where:

Σ represents the summation over all values of n

λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).

To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):

X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0

X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0

From the first equation, we have Bₙ = 0.

From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.

This implies that 3λₙ = nπ, where n is an integer.

Therefore, λₙ = (nπ)/3.

Substituting the eigenvalues into the general solution, we have:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

where Aₙ are the coefficients that can be determined from the initial condition.

Read more about Partial Differential Equations at: https://brainly.com/question/28099315

#SPJ1

The walkway is 11 feet 6 inches long.

To find the length of the walkway, we need to add the lengths of the two boards.

The first board is 6 feet 11 inches long, which can be written as 6 + 11/12 feet using the fact that there are 12 inches in a foot.

The second board is 5 feet 7 inches long, which can be written as 5 + 7/12 feet.

Now we can add the lengths of the two boards:

6 + 11/12 feet + 5 + 7/12 feet

= 11 + 6/12 feet

=11 + 1/2 feet

Therefore, the walkway is 11 feet 6 inches long.

To learn more on Coordinate Geometry click:

brainly.com/question/27326241

#SPJ1

Answer:

the answer is c.

just the answered the question and it was correct on edg

Answer:

They are correct its C.

Step-by-step explanation:

definitely missing a number so it's prolly something like

a/20=20

sorry if this doesn't help you didn't give us much to work on

Answer:

49

Step-by-step explanation:

z=7 which means that 7 raised to the second power is 7 multiplied by itself. When you do 7 x 7 your answer will be 49. Hope that helps :)