Rectangle ABCD has a length represented by the expression 2x-3, and a width represented by the expression 4x+5. Rectangle PQRS has a length represented by the expression x-1, and a width represented by the expression 3x+2. Which Expression can be used to represent the difference in the perimeter of Rectangle ABCD and Rectangle PQRS

Answers

Answer 1

This question is Incomplete

Complete Question

Rectangle ABCD has a length represented by the expression 2x – 3, and a width represented by the expression 4x + 5. Rectangle PQRS has a length represented by the expression x – 1, and a width represented by the expression 3x + 2. Which Expression can be used to represent the difference in the perimeter of Rectangle ABCD and Rectangle PQRS?

a) 2x + 1

b) 4x + 2

c) 4x + 6

d) 20x + 6

Answer:

b) 4x + 2

Step-by-step explanation:

The Formula for the Perimeter of a Rectangle = 2(L + W)

= 2L + 2W

Hence:

For rectangle ABCD

Length = 2x - 3

Width = 4x + 5

Hence, the Perimeter is :

P = 2L + 2W

P = 2(2x - 3) + 2(4x + 5)

P = 4x - 6 + 8x + 10

P = 4x + 8x -6 + 10

P = 12x + 4

For Rectangle PQRS

Length = x - 1

Width = 3x + 2

Hence, the Perimeter is :

P = 2L + 2W

P = 2(x - 1) + 2(3x + 2)

P = 2x - 2 + 6x + 4

P = 2x + 6x - 2 + 4

P = 8x + 2

The Expression that can be used to represent the difference in the perimeter of Rectangle ABCD and Rectangle PQRS is

Perimeter of Rectangle ABCD - Perimeter of Rectangle PQRS

(12x + 4) - (8x + 2)

12x + 4 - 8x - 2

12x - 8x +4 -2

4x + 2

Option b) 4x + 2 is the correct option.


Related Questions

A bat and a ball cost one dollar and ten cents in total. The bat costs a dollar more than the ball. How much does the ball cost?

Answers

Answer:

5 cents

Step-by-step explanation:

If bat + ball = 1.10 and the bat is a dollar more you know that the bat must cost at least 1 dollar. Divide the ten cents by two to split it evenly between the two and $1.05 is one dollar more than 5 cents

Choose a point that can be added so that the relation will remain a function.



{ (-3,9), (-2,4), (2,4), (3,9) }

A.
(-2,8)

B.
(1,9)

C.
(2,10)

D.
(-3,0)

Answers

its it c bc of the number u give

if you walk 10 miles in 10 hours, how fast are you going?

Answers

Answer:

1 mph

Step-by-step explanation:

Answer:

1 mile per hour since 10 miles in 10 hours is obviously how much you walk when you have been walking for 10 hours you to have walked  at least 1 mile each hour.

Step-by-step explanation:

HELP PLEASE & I WANT EVERY STEP THIS MY GRADE NOT YA'LLS

Brian rides his bike 0.27 of a mile per min. If it takes him 27 mins to ride his bike to his friends house, how far away does his friend live ?

Answers

Answer:

7.29 miles

Step-by-step explanation:

In 1 minute, Brian rides his bike for 0.27 of a mile.

in 27 mins the distance is going to be more than the other ( i.e 0.27 miles)

We use the proportion then get a solution

1 min = 0.27 miles

27 mins = (27 mins÷ 1 min) × 0.27

= 27 × 0.27 miles

= 7.29 miles

Step-by-step explanation:

Given parameters:

  Speed of the Brain's bike  = 0.27mile/min

Time = 27min

Unknown:

distance between Brain's house and where his friend lives =?

Solution:

Speed is a physical quantity.

   It is mathematically expressed as'

     Speed  = [tex]\frac{distance}{time}[/tex]

   Distance  = speed x time

  Input the parameters;

    Distance  = 0.27mile/min x 27min  = 7.29miles

Isabella owns a rectangular lot with an area of 9/32 SQAURE mile. If the length of the western side of her lot is 3/4 mile, what is the length of the northern side?

Answers

Answer:

as below

Step-by-step explanation:

9/32=3/4 * y/x

becasue this is multiplication of fractions ,  its' not too tough to figure out 3 times what makes 9 and 4 times what makes 32

y=3

x=8

so the answer is 3/8 mile

The length of the northern side of a rectangular plot is 3/8 mile.

Here,

Area of rectangular lot = 9/32 square mile.

Length of the western side of lot = 3/4 mile.

We have to find the length of the northern side.

What is Area of rectangle?

The area of a rectangle is product of length and width.

Now,

Area of rectangular lot = 9/32 square mile.

Length of the western side of lot ( width ) = 3/4 mile.

Let the length of the northern side ( length ) = x mile

So,

Area of rectangle = length x width

[tex]\frac{9}{32} = x * \frac{3}{4} \\\\x = \frac{9}{32} *\frac{4}{3} \\\\x = \frac{3}{8}[/tex]

Hence, The length of the northern side of a rectangular plot is 3/8 mile.

Learn more about the area of rectangle visit:

https://brainly.com/question/28337358

#SPJ2

HELPPP 30+ POINTS
.
.
.
.

Answers

Answer:

e:

ratio is smaller then number 1

so is between 0 and 1

4. What is the solution of the proportion 3 16 = 9 y ?

Answers

answer:

5.33333333333

help please show steps please I don't know what to do so I want to learn not just get the answer ​

Answers

The answer is -6 I put the work under here

what is the exact value of tan(9pi/8)​

Answers

Answer:

The second one: sqrt 2 - 1

Step-by-step explanation:

Answer:

B. [tex]\sqrt{2} -1[/tex]

Step-by-step explanation:

10. You want to be able to withdraw $30,000 each year for 25 years. Your account earns 8% interest. a. How much do you need in your account at the beginning? b. How much total money will you pull out of the account? c. How much of that money is interest?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Rate (r) = 8% =. 0.08

Period (t) = 25 years

Yearly withdrawal = cashflow = P= $30,000

Using the present value formula (PV) :

Present Value (PV) = P[(1 - (1 + r)^-n) / r]

PV = 30000((1 - (1 + 0.08)^-25) / 0.08)

PV = $320,243.29

B.) Total amount pulled out :

Yearly withdrawal * number of years

$25000 * 25 = 625,000

C.)

Interest :

$625000 - $320,243.29 = $304,756.71

Olivia is making chocolate chip pancakes for breakfast. The recipe calls for 0.5 quart of milk and 2.5 cups of flour. When she checks her kitchen for ingredients she realizes she has 3 8 quart of milk and 18 8 cups of flour. Does she have the correct amount of milk and flour to make the pancakes from the recipe? Explain.

Answers

Given:

The recipe calls for 0.5 quart of milk and 2.5 cups of flour.

She has [tex]\dfrac{3}{8}[/tex] quart of milk and [tex]\dfrac{18}{8}[/tex] cups of flour.

To find:

Whether she have the correct amount of milk and flour to make the pancakes from the recipe.

Solution:

Required Milk = 0.5 quart

Milk she has =  [tex]\dfrac{3}{8}=0.375[/tex] quarts

Clearly, 0.375 < 0.5.

Required Flour = 2.5 cups

Flour she has = [tex]\dfrac{18}{8}=2.25[/tex] cups

Clearly, 2.25 < 2.5

Since, the amount of milk and flour she has is less than the required amount, therefore she does not have the correct amount of milk and flour to make the pancakes from the recipe

what is the speed of an object that travels 210 miles in 7 hours ​

Answers

Answer:

30 miles per hour.

Step-by-step explanation:

Answer:

The speed of the object is 30 miles per hour.

Step-by-step explanation:

210÷7=30

Could I please have BRAINLIEST?

Gabe earns $10 per hour working for a landscaping business. He earned a raise to $10.75 per hour.


What is the percent increase of Gabe’s wages? If necessary, round your answer to the nearest tenth of a percent.

Answers

107.50 I believe is the answer

3.94x+36 =15.5236+
6x

Answers

Answer

i think its 9.94

Step-by-step explanation:

Answer:

x = 9.94

Step-by-step explanation:

Write a quadratic function f whose zeros are - 5 and 7.

Answers

Our two binomials are (X-5)(X-7)

If we FOIL those two terms [x*x = x2; x*-7 = -7x; x*-5 = -5x; -5*-7 = 35] and combine the like terms, we're left with one of many quadratic function
Answer
x2-12x+35

-7a-3=18
Solve for A

Answers

Answer:

a = -3

Step-by-step explanation:

-7a-3=18

Add 3 to each side

-7a-3+3=18+3

-7a = 21

Divide each side by -7

-7a/-7 = 21/-7

a = -3

Answer:

a= -3

Step-by-step explanation:

[-7a - 3 = 18]

Add 3 to both sides

[-7a=21]

Divide both sides by -7

[a= -3]

What is the midpoint between (3,-1) and (7,-5)
(2, -2)
(5,-2)
(10,-6)
(5,-3)

Answers

Answer:

(5, -3)

Step-by-step explanation:

Which linear equation has no solution?
CLEAR
SUBMIT
+6)=6x + 4
52 + 12 = 50 - 7
4.3 + 7 = 3.2 + 7
-3(2x - 5)= 15 - 63
Tuoe heret

Answers

Answer:

+6)=6x + 4   x=1/3

52 + 12 = 50 - 7  False

4.3 + 7 = 3.2 + 7  False

-3(2x - 5)= 15 - 63 x = 21/2

Step-by-step explanation:

how would a one-fifth in numbers be?​

Answers

It’s in many different forms:20 or .20 or 20%

If you have 24 questions how many answers can you miss to have a passing grade

Answers

Answer:

you have to get 15 right so for 60% or above so you can miss 9

Step-by-step explanation:

60% of 24 is 14.4 round it up because if down its below 60% and no longer passing but it rounds to 15

Answer: 7

Step-by-step explanation:

Because if 6 is 75% we can conclude 7 is 71%

HELP!! please explain how you got the answer too.

Determine whether cach point lies on the graph of the line y = 4.6x -7.

H(0, -7) ​

Answers

Answer:

Point H does lie on the graph y = 4.6x - 7

Step-by-step explanation:

Step 1: Define

y = 4.6x - 7

H(0, -7)

Step 2: Substitute, Evaluate, and Check

-7 = 4.6(0) - 7

-7 = 0 - 7

-7 = -7

Answer:

H(0,-7) does lie on the graph of line y = 4.6x - 7

Step-by-step explanation:

All you have to do is simply plug in the x and y values.

From the point H (0,-7) we can say that

x = 0

y = -7

Now just plug it into the equation.

y = 4.6x - 7

(-7) = 4.6(0) - 7

-7 = -7

Since -7 does equal -7, the point H is on the line of y = 4.6x - 7.

A line includes the points (6, 2) and (8, 6). What is its equation in slope-intercept form?

Write your answer using integers, proper fractions, and improper fractions in simplest form.

y = x −

Answers

Answer:

y=2x-10

Step-by-step explanation:

Hope this helps   (:

Larry is putting a row of rocks around his rectangular pool. Which descriptive model will tell him how many rocks he needs?

[2(pool length) + 2(pool width)] times the width of the rocks

(pool length times pool width) times the width of the rocks

(pool length times pool width) divided by the width of the rocks

[2(pool length) + 2(pool width)] divided by the width of the rocks

Answers

Answer:

P = [2( l)+2(w)] / width of the rock

Step-by-step explanation:

row of rocks around his rectangular pool, this tells us we are finding the perimeter

The perimeter of a rectangle is given by

P = 2( l+w)

P = 2( l)+2(w)

But we know that the length  takes into account the width of the rock so divide each side by the width of the rock

P = [2( l)+2(w)] / width of the rock

Elena is making an open-top box by cutting squares out of the corners of a piece of paper that is 11 inches wide and 17 inches long, and then folding up the sides. If the side lengths of her square cutouts are inches, then the volume of the box is given by V(x)=x(11-2x)(17-2x)

Answers

Answer:

V(x) = (17 - 2x)(11 - 2x)x

Step-by-step explanation:

We are told that She is making an open top box. This means the box will have only 5 faces.

Now, she cuts squares out of the paper that measures 11 inches wide and 17 inches long.

Now, if the square side is x, it means the width of the box will be x. Since there are 2 upright faces that serve as width.

Thus, measurement of width from the 11 inches paper = (11 - 2x)

Now, similarly, there will be 2 upright sides that will serve as length. Thus, length from the 17 inches side is;

(17 - 2x)

Now,recall that a side of the square is x.

Thus, the depth is x.

Now, volume of a box is given by;

V = length x width x depth

Thus, in this case;

V(x) = (17 - 2x)(11 - 2x)x

4. Which of these is a linear pair?

Answers

2x+x=180

3x=180

x=180/3

x=60

i need with help again (-70)-(-7)

Answers

-70+7= -63. The answer is -63

Six potted plants cost $48, at this rate what is the cost per plant?

Answers

Answer:

cost per plant is 8 dollars

Step-by-step explanation:

48÷6=8

8×6=48

Answer:

Step-by-step explanation:

Cost of six potted plants = $ 48

Cost of one potted plant = 48 ÷ 6

                                         = $ 8

Before i thought the dividing functions​

Answers

What is the question??

Is this equation an example of a literal equation? Why?

Answers

Answer:

yes this is...,.,.,.....

Gente pelo amor de Deus, qual é a responsta dessa questão: "Sendo a área de um retângulo fixado em 36cm2. Observa-se na tabela a seguir, algumas possibilidades de medidas para o comprimento e sua respectiva largura. Têm-se a que, neste caso, a sentença algébrica que relaciona o comprimento (c), em centímetros, com a largura (I) é:

Answers

Esta questão está completa

Pergunta completa

Gente pelo amor de Deus, qual é a responsta dessa questão: "Sendo a área de um retângulo fixado em 36cm². Observa-se na tabela a seguir, algumas possibilidades de medidas para o comprimento e sua respectiva largura.

Comprimento(c) | Largura (l)

18 | 2

12 | 3

9 | 4

6 | 6

Têm-se a que, neste caso, a sentença algébrica que relaciona o comprimento (c), em centímetros, com a largura (I) é:

A) c = 36/l

B) c = 45 + 15l

C) 36 = 2c + 2I

D) I = 36 - c

Answer:

A) c = 36/l

Step-by-step explanation:

A fórmula para a área de um retângulo é dada como Comprimento × Largura ou Comprimento × Respiração

A área do retângulo acima é fornecida como 36cm²

= 36cm² = Comprimento × Largura

36cm² = c × l

Portanto, a sentença algébrica que relaciona o comprimento (c), em correspondência, com a largura (I) é

c = 36 / l

Portanto, a resposta correta = opção A)

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