The length of a rectangle is nine more than twice the width. Write a simplified expression that could be used to find the perimeter of the rectangle

Answer:

x= -2y+3

Step-by-step explanation:

First move the variable to the right: 3x= 9-6y

Next divide both sides of the equation by 3: x=3-2y

Lastly reorder the numbers, the variable should be placed first: x= -2y+3

you have to get x and y by themselves on their own sides of the equation. What you do too one side you do to the other.

3x+2y=4

-3x -3x

2y=-3x+4

/2 /2

y= -3/2x+2

the Slope is the value by the x and the y is the one without a variable. sometimes equation do not have a y intercept which means they pass through the origin.

in this equation the slope is -3/2 and the y intercept is (0,2).

Answer: 309.73

Step-by-step explanation:

The width and length of the rectangle given its area is 8.5 meters and 28 meters respectively.

Area of a rectangle = Length × width

238 = (4w - 6) × w

238 = 4w² - 6w

4w² - 6w - 238 = 0

a = 4

b = -6

c = -238

w = -b ± √b² - 4ac / 2a

= -(-6) ± √(-6)² - 4(4)(-238) / 2(4)

= 6 ± √36 - (-3808) / 8

= 6 ± √36 + 3808 / 8

= 6 ± √3844 / 8

= 6 ± 62 / 8

= 68/8 or -56/8

w = 8.5 or -7

So,

w = 8.5 meters

Recall,

Length of the rectangle = (4w - 6) meters

= 4(8.5) - 6

= 34 - 6

= 28 meters

Therefore, the width and length of the rectangle given its area is 8.5 meters and 28 meters respectively.

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Transfomation using X and Y co-odrinate points

K(-3,2) , L(-4,3), M(-3,3), N(-1,2) → K'(0,2) , L'(-1,3) , M'(0,3), N'(2,2)

What is a transformation ?

Transformations of co-ordinates can be calculated by taking reference from the original figure to the transformed figure by adding or subtrating the point values depending upon where they have transformed in X and Y co-ordinate.

In the given figure there are 4 points  K,L,M,N and they have been transformed to  K', L',M',N' each point having X and Y co-ordinate values.

K has moved 3 units right so 0

L has moved 3 units right so  -1

M has moved 3 units right so 0

N has moved 3 units right so 2

      K(-3,2) , L(-4,3), M(-3,3), N(-1,2) → K'(0,2) , L'(-1,3) , M'(0,3), N'(2,2)

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Answer: 15

Step-by-step explanation:

order all the numbers from least to greatest and then find the one in the middle

Answer:

She gives 40 dollars to each friend.

The variable that you are trying to find is the amount of cash she gives to each friend. In the below equation, I call it x.

The equation is x = (360/6) - 20.

Step-by-step explanation:

1.  Let the variable be x be the amount of cash Audrey gives to each friend.

2. The equation is 6x + 20 = 360.

3. The solutions is x = 57.

4.  Audrey gives each friend $57 in cash along with a $20 gift card to their favorite store during the holiday season.

5. The solution does not entirely make sense for the problem because we cannot give fractional amounts of cash.

The solution should be rounded to the nearest dollar, making it $57 per friend.

We have,

1.

Let's define the variable "x" as the amount of cash Audrey gives to each of her 6 closest friends.

2.

Since Audrey spends the same amount of money on each friend, the equation can be written as:

6x + 20 = 360

3.

Solve the equation:

Subtract 20 from both sides to isolate the term with "x":

6x = 360 - 20

6x = 340

Now, divide both sides by 6 to solve for "x":

x = 340 / 6

x = 56.67 (rounded to two decimal places)

4.

The solution, x = 56.67, means that Audrey gives each of her 6 closest friends approximately $56.67 in cash along with a $20 gift card to their favorite store during the holiday season.

5.

The solution does not entirely make sense for the problem because we cannot give fractional amounts of cash.

In real-life situations, the cash given should be a whole dollar amount, not a fractional value like 56.67.

Therefore, the solution should be rounded to the nearest dollar, making it $57 per friend.

Thus,

1.  Let the variable be x be the amount of cash Audrey gives to each friend.

2. The equation is 6x + 20 = 360.

3. The solutions is x = 57.

4.  Audrey gives each friend $57 in cash along with a $20 gift card to their favorite store during the holiday season.

5. The solution does not entirely make sense for the problem because we cannot give fractional amounts of cash.

The solution should be rounded to the nearest dollar, making it $57 per friend.

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Answer: this equation has 5 zeroes.

Step-by-step explanation:

The number of zeroes in any number can be found by,

we have expression as

[tex]5*10^{5}[/tex]

now ;

10*10 has 2 zeroes;

10*10*10 has 3 zeroes;

similarly ;

this equation has 5 zeroes.

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Answer:

none

Step-by-step explanation:     105×5=525

The given functions can be solved using composition functions.

Function composition is a mathematical procedure where two functions, f and g, are taken and a function, h = g f, is produced such that h(x) = g(f(x)). The function g is applied in this operation on the outcome of applying the function f to x.

function (x)-2x+5.

(a) f(3) = 2(3) + 5

= 11

(b) f'(x)

y = 2x + 5

y - 5 = 2x

x = y - 5 / 2

f'(x) = x - 5 / 2

g is the function g(x)-²-25.

(c)  g(x)-²-25

g(-3) = (-3)² - 25

g(-3) = -16

(d) g(f(x)) = g(2x + 5)² - 25

= 4x² + 25 + 20x - 25

⇒ 4x² + 20x

r'(x) = 2x + 5

(ii) g(x) - 0

⇒ g(x)

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Answer:

Step-by-step explanation:

2(2x-5)=3x+x-2x

4x-10=3x+x-2x

4x-10=2x

4x-10+10=2x+10

4x=2x+10

2x=10

2/2

10/2=5

x=5

The solution to the equation 2(2x-5) = 3x + x - 2x is x = 5

Given data:

To solve the equation 2(2x - 5) = 3x + x - 2x, we will simplify and solve for x.

Step 1: Distribute the 2 to the terms inside the parentheses:

4x - 10 = 3x + x - 2x

Step 2: Combine like terms on both sides of the equation:

4x - 10 = 2x

Step 3: Subtract 2x from both sides to isolate the variable x:

4x - 2x - 10 = 0

Simplifying:

2x - 10 = 0

Step 4: Add 10 to both sides to eliminate the -10 term on the left side:

2x - 10 + 10 = 0 + 10

Simplifying:

2x = 10

Step 5: Divide both sides by 2 to solve for x:

(2x)/2 = 10/2

Simplifying:

x = 5

Hence, the solution is x = 5.

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The average change is 3 degrees per hour.

To calculate the average of any data we have to divide the change by the time taken for that change.

let us suppose there is a data 4,5,6,7 and 8.

Average of the data will be the sum of data divided by the number of terms.

Average=[tex]\frac{4+5+6+7+8}{5}[/tex]

            =[tex]\frac{30}{5}[/tex]

            = 6

So now we will calculate the average change in temperature per hour,

Given that there is a fall of 12 degrees in 4 hours.

Average change per hour=[tex]\frac{12}{4}[/tex]

                                        = 3 degrees per hour

So, the required change is 3 degrees per hour.

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Answer:

yes!!! because the first 3 types of bus can hold 50 people and the other 3 types of bus can hold 56 people so the total will be 320 people

The difference between the distances thrown by Oliver and Jason while discus throwing is 6.2 feet.

The correct answer is Option B.

Given data:

Oliver threw the discus 43.82 feet.

Jason threw the discus 50.02 feet.

Oliver threw the discus a distance of 43.82 feet, while Jason's throw reached a distance of 50.02 feet. The difference is calculated by subtracting the shorter distance from the longer distance, resulting in 6.2 feet.

Difference = Longer distance - Shorter distance

Difference = 50.02 feet - 43.82 feet

On simplifying the equation:

Difference = 6.2 feet

This represents the variation in their performances, with Jason achieving a greater distance by 6.2 feet compared to Oliver's throw.

Hence, the difference is 6.2 feet.

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Answer:

[tex] \sqrt[3 \\ ]8 + \sqrt{114} {?} [/tex]

Answer: The fraction that will show the number of ounces of filling Camilo uses is x = 32 ounces

Step-by-step explanation:

Calculation by using  fractions method :

The number of ounces used is x = 32

The number of trays = 3

Number of empanadas on each tray = 8

Therefore, the total number of empanadas on the 3 trays

= 3×8

= 24

If x = empanadas

32 ounce = x

Therefore, the fraction that shows number of ounces  of filling Camilo uses in each empanada  is x = 32 ounces

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Answer:

1/5 mile

Step-by-step explanation:

1/10 mile in 1/2 second

This can be written as a ratio:

1/10 mile : 1/2 second

We need the ratio in terms of 1 second, so multiply both numbers in the ratio be 2.

2 × 1/10 mile : 2 × 1/2 second =

= 2/10 mile : 1 second

= 1/5 mile : 1 second

Answer: 1/5 mile

Answer:

8u + 7z + 15

Step-by-step explanation:

Let's solve the problem,

→ 3z + 6 + 4z + 9 + 8u

→ 8u + (3z + 4z) + (6 + 9)

→ 8u + 7z + 15

Thus, solution is 8u + 7z + 15.

Answer:

8u±7z±15

Step-by-step explanation:

3z±6±4z±9±8u

8u±3z±4z±9±6

8u±7z±15

Hope its helpful for you

Step-by-step explanation:

(x^-4 / y³)^-7 = x²⁸ / y^-21 = x²⁸ / 1/y²¹ = x²⁸y²¹

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{a\times b}}[/tex]

[tex]\mathsf{= 24\times8}[/tex]

[tex]\mathsf{= 192}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{192}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

first we find out how much is three dozens?

3 x 12 =36

now we multiply 26 and 36 to find out the number of cookies

26 x 36 = 936

936 cookies is your answer

Answer:

  C. the set of all positive integers

Step-by-step explanation:

You want to know the appropriate domain of the function f(x) where x is months after a plant was planted, and f(x) is the height of the plant.

The domain of a function is the set of values of the independent variable for which the function is defined. In this case, the independent variable is x, the number of months after the plant was planted. Months are counted using the natural numbers, the set of all positive integers.

The appropriate domain is the set of all positive integers.

__

Additional comment

As a practical matter, the domain will have an upper limit, so will not actually be all positive integers.

The range of function values is likely the set of positive real numbers, though it might be integers if the measurements are recorded as integer values (mm or cm or in, for example).

Answer and Explanation:

The problem provides the following information:

Hypotenuse

=

h

y

p

=

5129

ft

Vertical drop

=

o

p

p

=

1275

ft

To find the angle of depression, the best trigonometric ratio to use is the sine ratio. After equating it with the ratio of the opposite side over the hypotenuse, get the inverse of the sine ratio as shown:

sin

θ

=

o

p

p

h

y

p

θ

=

sin

−

1

(

o

p

p

h

y

p

)

θ

=

sin

−

1

(

1275

ft

5129

ft

)

θ

=

sin

−

1

(

0.2485864691

)

θ

=

14.3938824691

≈

14.4

∘

The angle of depression is

14.4

The following operations can be applied to a matrix during the Gauss Jordan elimination process:

During the Gauss Jordan elimination process, the following operations can be applied to a matrix:

Therefore, the following operations can be applied to a matrix during the Gauss Jordan elimination process:

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Answer:

I think to solve for X you have to place like terms on the other side like:

x4 = 4

x=4 - 4 (4 becomes negative)

x=0

Answer:

n2jnsjsns. sisjnenws jsjsjjejsnsbss

Answer: 1e-16

Step-by-step explanation:

Steps

(x)n =  (10)-16

=  

1

10 x 10 x .... x 10

=  

1

10000000000000000

=  1e-16

thirty-seven billion nine hundred five million

Answer:

hskekndndndokn jskjskiwijsnjskjskiwijsn kkskskskjd kdkdkdndndn

Step-by-step explanation:

Answer:

the answer is A

that is 828263