The length of a rectangle is (5x − 1) cm and the width is (11 − 2x) cm. If the perimeter of the rectangle is 44 centimeters, what is the area of the rectangle?

Answers

Answer 1

Answer:

57 cm²

Step-by-step explanation

l = length

w = width

p = perimeter

(5x - 1) = length

(11 - 2x) = width

44 = perimeter

Formula for the perimeter of a rectangle:

l + l + w + w

2l + 2w = p

Substitute the variables for the length and width with the values given to you by the problem, then solve.

2(5x - 1) + 2(11 - 2x) = 44

(10x - 2) + (22 - 4x) = 44 (Distributive property)

6x + 20 = 44

6x = 24

x = 4

Plug x = 4 back into the length and width.

Length = (5x - 1), (5(4) - 1), (19)

Width =  (11 - 2x), (11 - 2(4)), (3)

Area for a rectangle: Length × Width = Area.

19 × 3 = 57 cm²

This is all in cm so answer with cm²


Related Questions

Combine 250 mL, 500 mL, 750 mL and 3 L. How many liters is this

Answers

Answer:

4.5

Step-by-step explanation:

250 mL= 0.25 L  500 mL= 0.5 L  750mL= 0.75 L+3L

-1 1/3- 1 2/3 in the simplest form

Answers

Answer:

-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

thats in the simplest form

Which of these equations best describes the line of best fit for the data in the scatter plot relating time and distance?

(Answer options in the picture)​

Answers

Answer:

D

Step-by-step explanation:

The y-intercept can't be 1.7 it's too low of a number and there can't be no y-intercept in the problem because the line does meet the y-axis

What is the answer I don’t understand how to do it

Answers

The answer is negative 22 (-22)

Answer:

= -22

Step-by-step explanation:

In a simple way to say it, all you have to do is add.

Remember that two negatives being added together will remain a negative.

Think of a number line, -11 would be on the left side of the 0. If you subtract another 11, you move 11 spaces more to the left. This gives you -22.

Or simply add the 11 and then add the negative sign next to it.

-(11+11)= -22

Hope this helps! :)

Algebra sucks tbh but can anyone help ?

Answers

Answer:

A

Step-by-step explanation:

count how many 3's there are (1)

3^1

3^1 simplifies to just 3

3

count how many x's there are (4)

3x^4

count how many y's there are (4)

3x^4y^4

Answer:

The answer is Letter A

Explanation:

It's because based on the given formula there is only one 3 four x and four y , so the 3 remains itself and x raise fo four as well as y so Letter A

The mass of Mercury is 3.3022 x 1023 kg, the mass of Venus is 4.8685 x 1024 kg, the mass of Earth is 5.9722 x 1024 kg, and the mass of Mars is 6.4185 x 1023 kg. These four planets are known as the inner planets. What is the approximate combined mass of all of the inner planets?

Answers

Answer:

3378.15+4985.34+6115.53+6566.13 = 21045.15

the flag of the bahamas includes an equilateral triangle. the perimeter of the triangle is p=3s, where s is the side length. use your formula to find the dimensions of the flag in feet and the area in square feet when the perimeter of the triangle is 126 inches​.

Answers

Answer:

345

Step-by-step explanation:

3!

I don’t understand this?!!?! Btw it’s question 8

Answers

Answer:

b

Step-by-step explanation:

What is the slope of a line perpendicular to the line whose equation is
3x – 12y = 216. Fully reduce your answer.
=

Answers

X=72 Is the answer for your question

Answer:

Step-by-step explanation:

-4

Gabriela can swim 100 meters in 20 minutes. What is Gabriela's unit rate?

Answers

5 meters per minute because 100 divided by 20 is 5.

Alice is making a gold necklace. The length of the chain is
30 inches. She adds a 0.31-inch clasp to the end of the
chain. What is the total length of the completed necklace?

Answers

Answer:

30.31 inches.

Step-by-step explanation:

The shelf is made of 3 pieces of wood, each 0.3 meters wide. There is also 0.05 meter of space between the shelf and wall on each side. What is the width, in meters, of Joslyn's closet

Answers

Answer:

1.05

Step-by-step explanation:

To start, you need to know how long the shelving is, so you would multiply 0.3*3 since there are three pieces of wood. After you do that, you need to find out exactly how much space is from the shelving to the wall, so multiply 0.05*2 since there are two sides of the shelf. Add it all together for a total of 1.05

My calculator work will be posted below.

If you need more help, message me!

When measuring volume what is the proper unit in science

Answers

Answer: liters

Step-by-step explanation:

What is 37 divided by 4

Answers

Answer:

9.25

Step-by-step explanation:

The quotient of 37 divided by 4 is 9 with a remainder of 2, or written as a mixed number, it is 9 2/4 or 9 1/2.

To solve 37 divided by 4 step by step:

Step 1: Divide the first digit of the dividend (37) by the divisor (4):

37 ÷ 4 = 9

Step 2: Multiply the quotient (9) by the divisor (4) to get the product:

9 × 4 = 36

Step 3: Subtract the product (36) from the dividend (37) to find the remainder:

37 - 36 = 1

Step 4: Bring down the next digit (0) from the dividend to the remainder:

Remainder: 10

Step 5: Divide the new number (10) by the divisor (4):

10 ÷ 4 = 2

Step 6: Multiply the new quotient (2) by the divisor (4) to get the product:

2 × 4 = 8

Step 7: Subtract the product (8) from the remainder (10) to find the new remainder:

10 - 8 = 2

Step 8: Since the remainder (2) is less than the divisor (4), we can stop here.

Therefore, the quotient of 37 divided by 4 is 9 with a remainder of 2, or written as a mixed number, it is 9 2/4 or 9 1/2.

Learn more about the division here:

https://brainly.com/question/29765578

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please help
thanks in advance

Answers

Answer:

24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

The median is the number in the middle. So first we order these numbers up which is:

2  15  16  23  24  25  25  26  34

Next we see in the middle we have 24, since there is four numbers on either side.

Simplify.

[tex] {8}^{4} \times {8}^{5} = {8}^{?} [/tex]
Enter the missing exponent.​

Answers

9
is the correct answer when multiplying exponents with the same base, you keep the base add the exponents.

Answer:

The answer to your question is simply just 9.

I need help please its due tmrw and i have her first period.

Answers

Answer:

hi! I put a pdf of the solution below. hope it helps :) feel free to ask if you need anything else

Enter the value of x! Thank you!

Answers

Answer:

x = 3

Step-by-step explanation:

given:

f(x) = g(x)

f(x) = x³ - 3x² + 2

g(x) = x² - 6x + 11

find: the value of x

solution:

as given f(x) = g(x) equate each side x³ - 3x² + 2 =  x² - 6x + 11 combine similar terms and equate to zero: x³ - 4x² + 6x - 9 = 0 solve by factoring: (x - 3) (x² - x + 3) use the Zero factor principle: x - 3 = 0 x = 3 for x² - x + 3 = 0 ----this is a complex solution.

therefore, the value of x = 3

Step-by-step explanation:

[tex]

\underline{\bf{Given\::}}

Given:

\underline{\bf{To\:find\::}}

Tofind:

\underline{\bf{Explanation\::}}

Explanation:

\boxed{\bf{\frac{1}{f} =\frac{1}{v} -\frac{1}{u} }}}}

\begin{gathered}\longrightarrow\sf{\dfrac{1}{-10} =\dfrac{1}{v} -\dfrac{1}{-30} }\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{1}{-10} +\dfrac{1}{30} }\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{-3+1}{30} }\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\cancel{\dfrac{-2}{30} }}\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{1}{-15} }\\\\\\\longrightarrow\sf{v=-15\:cm}\end{gathered}

−10

1

=

v

1

−30

1

v

1

=

−10

1

+

30

1

v

1

=

30

−3+1

v

1

=

30

−2

v

1

=

−15

1

⟶v=−15cm

\boxed{\bf{M \:A \:G \:N\: I \:F \:I \:C\: A\: T \:I \:O\: N :}}

MAGNIFICATION:

\begin{gathered}\mapsto\sf{m=\dfrac{Height\:of\:image\:(I)}{Height\:of\:object\:(O)} =\dfrac{Distance\:of\:image}{Distance\:of\:object} =\dfrac{v}{u} }\\\\\\\mapsto\sf{m=\cancel{\dfrac{-30}{-15}} }\\\\\\\mapsto\bf{m=2\:cm}\end{gathered}

↦m=

Heightofobject(O)

Heightofimage(I)

=

Distanceofobject

Distanceofimage

=

u

v

↦m=

−15

−30

↦m=2cm

Thus;

The magnification will be 2 cm .

[/tex]


An elephant can drink up to 6,400 fluid
ounces of water a day. How many gallons of
water can an elephant drink per day?

Answers

Answer:

50 gallons

Step-by-step explanation:

50 gallons! Hope this helps let

Please help me with this??

Answers

19)

[tex]90 = 21x + 6\\-21x = 6 - 90\\-21x = -84\\x = 4[/tex]

20)

[tex]75 = 11x - 2\\-11x = -2 - 75\\-11x = -77\\x = 7[/tex]

21)

[tex]60 = 8x - 4\\-8x = -4 - 60\\-8x = -64\\x = 8[/tex]

22)

[tex]132 = x + 139\\-x = 139 - 132\\-x = 7\\x = -7[/tex]

23)

[tex]-1 + 14x = 12x + 17\\14x - 12x = 17 + 1\\2x = 18\\x = 9[/tex]

24)

[tex]23x - 5 = 21x + 5\\23x - 21x = 5 + 5\\2x = 10\\x = 5[/tex]

What is the value of x in the equation shown?
5x - 3(x + 9) + 10 = 4

Answers

X= 21/2
X=10.5
X=10 1/2
Pick one of those there all right pls mark me brainliest
[tex]\huge{\underline{\underline{\mathbb{\pink{Question}}}}}[/tex]What is the value of x in the equation shown?

5x - 3(x + 9) + 10 = 4

[tex]\huge {\mathcal{\purple{A}\green{N}\pink{S}\blue{W}\purple{E}\green{R}\pink{!}}}[/tex]

[tex] \implies [/tex][tex]5x - 3x - 27 + 10 = 4[/tex]

[tex] \implies [/tex][tex]2x - 17 = 4[/tex]

[tex] \implies [/tex][tex]2x = 4 + 17[/tex]

[tex] \implies [/tex][tex]2x = 21[/tex]

[tex] \implies [/tex][tex]x = \frac{21}{2} [/tex]

[tex] \huge \tt \underline \orange {X\:=\:10.5}[/tex]

11) The sum of three consecutive integers is 13 greater than twice the smallest of the three integers. Find the integers.

Answers

Answer:

The sum of 3 consecutive integers is 13 more than twice the smallest integer. Find the integer.

x + (x+1) + (x+2) = 2x + 13

3x + 3 = 2x + 13:

3x - 2x = 13 - 3

x = 10 is the smallest integer:

Check: 10 + 11 + 12 = 2(10) + 13

The integers will be equal to 10, 11, and 12 respectively.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The sum of 3 consecutive integers is 13 more than twice the smallest integer. The integer will be calculated as below:-

x + (x+1) + (x+2) = 2x + 13

3x + 3 = 2x + 13:

3x - 2x = 13 - 3

x = 10 is the smallest integer:

Check: 10 + 11 + 12 = 2(10) + 13 = 33

Therefore, the integers will be equal to 10, 11, and 12 respectively.

To know more about Expression follow

https://brainly.com/question/723406

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what is 16 divided by 3482?

Answers

Answer the answer is 217.62.

Step-by-step explanation:

What are some external and internal character traits of each character in Tuck Everlasting. Please include text evidence from the book.

Answers

Answer:

this is the math part of Brainly...  try the literature part for book reviews

Step-by-step explanation:

A square sand box has an area of 58 square meters. Which is the best estimate of the length of one side of the sand box ?

A 8.0 meters
B 5.6 meters
C 7.6 meters
D 7.0 meters

Answers

Answer:

Step-by-step explanation:

A 8.0

what is the slope of the line that passes through (-3,-1) and (-5,5)​

Answers

Answer:

[tex]m=-3[/tex]

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Simply plug in the 2 coordinates into the slope formula to find slope m:

[tex]m=\frac{5-(-1)}{-5-(-3)}[/tex]

[tex]m=\frac{5+1}{-5+3}[/tex]

[tex]m=\frac{6}{-2}[/tex]

[tex]m=-3[/tex]

Which is the graph of y = 3x] - 2?

Answers

Answer:

3rd graph

Step-by-step explanation:

Answer:

The third one

Step-by-step explanation:

At the assembly line, Joe is able to pack 150 boxes of books in one hour. At this rate, how many complete boxes can Joe pack per minute?

Answers

joe be going sicko mode, he finna pack 5/2

they want complete so I'd go with 2 boxes

Answer:

2

Step-by-step explanation:

If he can pack 150 per hour and there are 60 minutes in an hour, then to find the boxes per minute, you must divide 150 by 60. That gets 2.5, and the question said complete boxes so 2.

Which one I'll give stars or points

Answers

Answer:

the answer is B

Step-by-step explanation:

Find the value of f(5) for the function.
f(a) = 5(a + 3) - 9
f(5)=(Simplify your answer.)

Answers

Answer:

f(5)=31

Step-by-step explanation:

f(5)=5(5+3)-9

=5(8)-9

=40-9

=31

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