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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 are used to represent the difference in the perimeters of
Rectangle ABCD and Rectangle PQRS

Answers

Answer 1

Answer:

Perimeter of ABCD - Perimeter of PQRS = 4x + 2

Step-by-step explanation:

i. For rectangle ABCD;

length, l = 2x -3

width, w = 4x + 5

Perimeter of a rectangle = 2(l + w)

Perimeter of ABCD = 2((2x -3) + (4x + 5))

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

= 2(6x + 2)

Perimeter of ABCD = 12x + 4

ii. For rectangle PQRS;

length, l = x - 1

width, w = 3x + 2

Perimeter of a rectangle = 2(l + w)

Perimeter of PQRS = 2((x - 1) + (3x + 2))

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

= 2(4x + 1)

Perimeter of PQRS = 8x + 2

So that,

Perimeter of ABCD - Perimeter of PQRS = (12x + 4) - (8x + 2)

= 12x + 4 - 8x - 2

= 4x + 2

Perimeter of ABCD - Perimeter of PQRS = 4x + 2

Related Questions

The number of visits to public libraries increased from 1.3 billion in 1998 to 1.5 billion in 2002. Find the average rate of change in the number of public library visits from 1998 to 2002.

Answers

Answer:

A = 0.05 billion visits per year

Step-by-step explanation:

Given that,

The number of visits to public libraries increased from 1.3 billion in 1998 to 1.5 billion in 2002.

We need to find the average rate of change in the number of public library visits from 1998 to 2002.

So,

[tex]A=\dfrac{1.5-1.3}{2002-1998}\\\\A=0.05\ \text{billion visits per year}[/tex]

Hence, the required average rate is 0.05 billion visits per year.

What’s (-6 - 4) divided by (-5)

Answers

Answer:

in fraction form is 6/20 in decimal form its 0.3

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-6 - 4) ÷ -5 = 2

convert 6/8 to a decimal and explain how you got the answer

Answers

Answer:

0.65

Step-by-step explanation:

6/8 is the same thing as 3/4, and 3/4 is equal to 0.75

Hope this helps :D

What is fhe distance between points (-4, -8) and (10, -8)

Answers

Answer:

Its its, i think its 69, the carrot

Step-by-step explanation:

which expression is equivalent to the given polynomial expression?
(-4a^2 – 3b) + (-2ab – a^2 + b^2) + (-b^2+6ab)

Answers

Answer:

Plato answer!

-5a^2 +4ab - 3b

Step-by-step explanation:

The expression (–4a² – 3b) + (–2ab – a² + b²) + (–b² + 6ab) is equivalent to the expression (–5a² + 4ab – 3b). Then the correct option is D.

What is an equivalent expression?

The equivalent is the expressions that are in different forms but are equal to the same value.

The polynomial expression are given below.

(–4a² – 3b) + (–2ab – a² + b²) + (–b² + 6ab)

On simplifying, we have

– 5a² + 4ab – 3b

Then the correct option is D.

The complete question is attached below.

More about the equivalent link is given below.

https://brainly.com/question/889935

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Name the constant(s) in the expression 5y + 3 - 4y.

Answers

Answer:

When we look at the expression, 4x+3−2x−7, ... 3. What are the coefficients in the expression? 4. What are the constants in the expression? ... 8x−4y+2−3x−5x ? 1. Translate the ... Simplify the expression − 2x −5y− 4.

Step-by-step explanation:

ANSWER THIS PLS!!!!

The constant velocity motion formula can be expressed as x = x0 + vt

where x is the location of the object at time t, xo is where the object begins, and v is the constant velocity. This is an example of a linear equation.

Suppose we’re collecting data on an object that we know has a constant velocity. We observe the object being 40m away from us at time 4. 10 seconds later at time 14, we make another observation and notice the object is now 70m away.

Using this data, and the constant velocity motion formula, determine an equation that models the object’s path.

Answers

Answer and Step-by-step explanation: With the constant velocity motion formula, we can determine constant velocity of the object in motion whose data we collected:

x = x₀ + vt

Velocity can be calculated as:

[tex]v=\frac{x-x_{0}}{t}[/tex]

[tex]v=\frac{70-40}{10}[/tex]

v = 3 m/s

The beginning of the data collect, object is 40m away, then x₀ = 40.

So, equation modeling the object's path is x = 40 + 3t.

What quadrant is the point (-4, 3)? So I could at least get 10 points

Answers

Answer:

Step-by-step explanation:

quadrant 2 ( or if its asking for a letter B)

Please help me! I will mark brainliest!

Answers

Answer:

Your picture didn't load?

Step-by-step explanation:

9 times k times k times k times k times k as a exponet

Answers

Answer:

9 as the base and k as the exponet

Step-by-step explanation:

x + 2y = -6
Solve for y

Answers

y= -3-x/2 dhshshshshhshshshshahahhahagagagaga

y=-3-x/2 when you move x to the opposite side it turns negative. then divide 2 to all terms.

at a hot dog stand they serve regular and footlong hot dogs at a ratio of 5 to 3 based on this ratio how many footlongs hot dogs will be served there is a total of 120 hot dogs served. A. 45 footlong hot dogs, B. 75 footlong hot dogs, C. 72 footlong hot dogs

Answers

Answer:

Step-by-step explanation:

Ratio is 5:3

So total ratio "parts" is 5 + 3 = 8

In total there are 120 dogs served, so each part is:

120/8 = 15 dogs

Since, footlong hot dogs are "3" parts, and each part is 15 dogs, there will be:

3 * 15 = 45 footlong hotdogs

Answer:

Step-by-step explanation:

-3(5x-9) solve!!!!!!

Answers

Answer:

-15x+27

Step-by-step explanation:

-3 * 5x = -15x

-3 * -9 = 27

Stephan added 26 new contacts to his phone list. He had to delete 16 old contacts before he could add any more. Stefan now has a total of 100 contacts. Let c represent how many contacts he had on his phone list before he updated it. Write an equation and then solve for c.

Answers

Answer: 26-16= c

c=10

Step-by-step explanation:

Answer: 90c-16c+26c=100c

Stephan had 90 contacts before he deleted 16 then added 26 more how it works is Stephan had 90 right, then proceeded to delete 16 which left him with 74 contacts after he then added 26 more contacts so he know has 100 contacts.

A botanist planted 40 seeds and 32 sprouted. What percent of the seeds planted did NOT sprout?

Answers

Answer:

20%

Step-by-step explanation:

There are 738 students going on a school field trip. Each bus can carry 33 students. How many buses should the school reserve?

Answers

Answer:

23 buses

Step-by-step explanation:

It comes to 22.3636364 so you need to round up.

What is the mean absolute deviation of Robin’s scores?

Answers

Answer:

what r Robins scores

Answer:

5.2

Step-by-step explanation:

I got it right on edge lol.

Which property is illustrated by the statement 6x4=4x6

Answers

Answer:

commutative property of multiplication

Answer:

commutative property of multiplication

Step-by-step explanation:

a printing service charges a set up fee of 11.00 for each order and 10 cents more for each copy . the totsl cost, C (in dollars), for an order of x copies is given by the following . C= 11.00+ 0.10x
What is the total cost for an order of 20 copies ?

Answers

Answer:

$13.00

Step-by-step explanation:

First, you plug in your x value for copies into the equation C=11.00+0.10x to get a starting equation of x=11.00+0.10(20). Since 0.10 is equivalent to 1/10, it's easy to compute (1/10)(20)=2. You now have an equation of C=11.00+2.00 to get C=13.00. Therefore, the total cost for an order of 20 copies is 13 dollars (and 0 cents).

Which statement about 5(1 + 3x) is true?
A. 5(1 + 3x) is a quotient.
B. 5(1 + 3x) has two variables.
C. 5(1 + 3x) has one variable.
D. 5(1 + 3x) is a product of three factors.

Answers

well well here it has only one variable that is x

hence option c is correct

Answer:

it is c since it only has one variable

Please help !!! Don’t understand this math problem

Answers

Answer:

31.4

Step-by-step explanation:

10 x 3.14 ( pi) =31.4in2

Which equation could be used to solve this problem?
In 14 years, Miguel will be 40. Let m represent Miguel's current age. How old is he now?
m = 40 + 14
m- 14 = 40
m + 40 = 14
m + 14 = 40

Answers

Answer:

m+14=40

Step-by-step explanation:

Answer:

the answer is m+ 14 = 40

Step-by-step explanation:

Answer is D

What percentage is 7/100 equivalent to?

Answers

Answer:

7% because 0.07 is a decimal and 7/100borb7% is the percentage of 7/100

Answer:

Step-by-step explanation:

0.07 is a decimal and 7/100 or 7% is the percentage for 7/100.

The square of the sum of
8 and 7 is

Answers

Answer:

225

Step-by-step explanation:

8+7=15

15*15=225

Answer:

225

Step-by-step explanation:

The square of the sum of 8 and 7 is;

8+7

=15

So square of 15 is

15×15

=225

Diane has 12 coins that total $1.60. If the coins are all nickels and
quarters, how many of each type does she have

Answers

Answer:

she has 4 quarters because 4 quarters equals $1 and she has 12 nickles because 12 × 5 =60

Write the difference quotient f(x)= 6x-7

Answers

Answer: f=6x-7/x

Step-by-step explanation:

Please help me on this math homework.Its trigonometry identities.

Answers

Step-by-step explanation:

Both questions solved

i hope its very useful for u

the concentration of the substance outside the cell and C2 represents the concentration of the substance
inside the cell.
a) Rewrite the formula as a single logarithm.
b) Find the energy needed to transport the exterior substance into the cell if the concentration.
of the substance outside the cell is double the concentration inside the cell.
c) What is the sign of E if C1 < Cz? Explain what this means in terms of the cell.

Answers

Is this math? I'm sorry I don't get what formula I'm supposed to rewrite or -

There are 30 boys in 6th grade. The number of girls in 6th grade is 40. Abigail says that means the ratio of the number of boys in 6th grade to the number of girls in 6th grade is 4:3. Is Abigail correct? If not, what is the correct answer?

Answers

Answer:

noo

Step-by-step explanation:

no, 35 divided by 7 is 5 and 42 divided 7 is 6 it should actually be 5:6

Abigail is incorrect and the correct ratio of the number of boys in 6th grade to the number of girls in 6th grade is 3:4

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

The number of boys in 6th grade is 30

The number of girls in 6th grade is 40.

The ratio of the number of boys in 6th grade to the number of girls in 6th grade is 30:40

30/40

Divide numerator and denominator by 10

3/4

The ratio of the number of boys in 6th grade to the number of girls in 6th grade is 3:4.

But Abigail says that the ratio of the number of boys in 6th grade to the number of girls in 6th grade is 4:3, which is not true.

Hence, Abigail is incorrect and the correct ratio of the number of boys in 6th grade to the number of girls in 6th grade is 3:4

To learn more on Ratios click:

https://brainly.com/question/13419413

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The parking garage at the airport has 86 empty parking spaces and 14 full parking spaces. What percentage of the spaces in the garage are empty?

Answers

There are 100 total spaces. 86 are empty. 86/100 is 86%.

Other Questions

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