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

does anyone know how to use substitution for
x+y=21
2x-15=y

Answers

Answer:

Step-by-step explanation:

Replace x

x=-y+21

2(-y+21)-15=y

Then solve the rest

I need help with question 4

Answers

Answer:

i cant see it take another picture plz

Step-by-step explanation:

Answer:

2.23

Step-by-step explanation:

Lea wrote a number riddle. Her clues were:

9 is 10 times the value of the 9 in 329,513
2 is 110 the value of the 2 in 7,562
6 is 110 the value of the 6 in 4.68
Which number is an answer to Lea's riddle?

Answers

Answer:

498,173.26

Step-by-step explanation:

Levi has a job offer in which he will receive $800 per month plus a commission of 2% of the total price of the cars that he sells. At his current job, he receives $1200 per month plus a commission of 1.5% of his total sales. How much must he sell per month to make the new job a better deal than his current job? Define variables, write a system of equations, and solve.

Answers

Answer:

Levi must sell more than 80000 cars per month for the new job to be better than the current job.

Step-by-step explanation:

New Job;

He receives $800 per month plus a commission of 2% or 0.02 of the total price of the cars.

Now, let the total amount he receives in a month be "y" and let the amount of cars sold be x.

Thus;

y = 800 + 0.02x - - - -(eq1)

Current Job:

He receives $1200 per month plus a commission of 1.5% or 0.015 of his total sales.

Thus;

y = 1200 + 0.015x - - - (eq2)

Substituting 800 + 0.02x for y into eq(2) gives;

800 + 0.02x = 1200 + 0.015x

0.02x - 0.015x = 1200 - 800

0.005x = 400

x = 400/0.005

x = 80000

This means Levi must sell more than 80000 cars per month for the new job to be better than the current job.

help ASAP!! please. i dont get it!

Answers

Answer: 120kg

Step-by-step explanation:

100 items x 1.2kg

100 x 1.2 = 120

Answer:

120 I think

Step-by-step explanation: I hope this helps

-11 + 9(x + 1) = 4(1 + 3x) - 3

Answers

Answer:

x = -1

Step-by-step explanation:

-11 + 9(x+1) = 4(1+3x) - 3

9x + 9 - 11 = 12x + 4 -3

9x - 2 = 12x +1

-2 = 3x + 1

-3 = 3x

x = -1

Hope this helped

Sorry if it's wrong

:)

Is 1/2 bigger or less then 20%​

Answers

Answer:

1/2 is BIGGER than 20%

Step-by-step explanation:

1/2 is the same as 50% and 50% is greater than 20%

(Percent is out of 100 so half of 100 is 50.)

Hope that helps and have a great day!

Answer:

Well if it is a sale taking place then 1/2 off is less than 20% off

However if the prices are being increased then 1/2 more is bigger than 20% more.

Step-by-step explanation:

Evaluate 42,147÷63. Round to the nearest whole number, if necessary.

Answers

Answer:

669 is the answer to this equation

Step-by-step explanation:

brainliest?

Answer:

669

Step-by-step explanation:

I’ve been trying to get help on this app but no one is helping me at all . So again, if someone can help me I would appreciate it. Please!!. I’ll give a brainlest

1). What is y when x = 40?
A) about 120
B) about 150
C) about 190
D) about 210

2). What is x when y=400?
A) about 72
B) about 74
C) about 79
D) about 83

Pleaseee help !!!

Answers

I could say C & B. I hope this helps :/

Answer:

I believe it is this :

1) C

2) B

((I wasn't paying attention before thanks GuffeyK14))

5u = 56 -3u i dont get how this works ;-; :p

Answers

You add +3u to both sides to get rid of -3u so 5u+3u=8u
8u=56
Now u want to divide the 8 on both sides of the equation so 56/8=7 and 8/u= would just leave “u”
So u=7

Ecuación 2:
10x + 20y = 8000
ayudaaa

Answers

Answer:

y = 300

x = 200

Step-by-step explanation:

Esta pregunta parece incompleta, parece que acá tenemos un sistema de ecuaciones:

x + y = 500

10*x + 20*y = 8000

Estas ecuaciones tienen que resolverse en conjunto, y de acá sacaremos un par de puntos (x, y) que son solución para ambas ecuaciones.

El primer paso para resolver esto es aislar una variable en una de las ecuaciones, en este caso podemos aislar x en la primera ecuación y así obtener:

x = 500 - y.

Ahora podemos reemplazar eso en la segunda ecuación y obtener:

10*(500 - y) + 20*y = 8000.

Ahora resolvemos esto para y.

5000 - 10*y + 20*y = 8000

10*y = 8000 - 5000 = 3000

y = 3000/10 = 300.

Y sabíamos que:

x = 500 - y = 500 - 300 = 200

Entonces la solución es:

y = 300

x = 200

Anyone want to help me with math
Solve 1−2/5 < 5x+2/5−4x

Answers

Answer:x > 1/5

Step-by-step explanation:

Find the range for the measure of the third side of a triangle given the measures of the other two sides are 4 and 8

Answers

Answer:

4 < x < 12

Step-by-step explanation:

Given 2 sides, then let x be the third side and

difference of 2 sides < x < sum of 2 sides , that is

8 - 4 < x < 8 + 4

4 < x < 12

Last week, the value of an investment changed at a rate of –$0.80 each hour.

After how many hours was the total change in value –$3.60?

Answers

Answer:

4 hours

Step-by-step explanation:

3.6 / .8

2. Martin has $100 to buy a new MP3 player and music. The MP3 player costs $85 and each song download
costs $1.50. How many songs can Martin afford?
a. 85+1.50d 5 100
b. 85d +1.50 < 100
C. 85+1.50d < 100
d. 1.50d + 100 < 85

Answers

i believe the answer would be A:)

hello everyone.
i want to remind everyone to take a break and take care of themselves
take a minute to breath
how are you feeling
if you feel overwhelmed, you are not alone
everything will be okay
look at the seal
it's so cute

Answers

Is it to early to say that I love you-

Answer

Wow, thanks.

Step-by-step explanation:

I really needed that. Maybe I shouldn't say something personal, but I've been going through a bunch of pointless stress. So thank you, I really found confort through this. I hope you have a good day too. Lots of love and I hope you are safe and happy, wherever you are. No matter who you are, thanks.

:)

(That seal is really is really cute.)

What is the missing angle measure, in degrees, for figure 1, part a? What is the missing angle measure, in degrees, for figure 1, part c? What is the missing angle measure, in degrees, for figure 1, part d? What is the missing angle measure, in degrees, for figure 1, part f?

Answers

Answer:

a 82°

c 75°

d 150°

f 80°

Step-by-step explanation:

...add all of the given angles, and then subtract the total from 360.

All circles measure 360°.

1/2(6x+4) =5(2x-8) im not sure what order to do things in or really how to do it

Answers

X=6
Pls mark brainliest

The center of a circle lies on the line y=6x+2 and is tangent to the X axis at (-2,0) what is the equation of the circle in standard form?

Answers

Answer:

(x+2)^2 + (y+10)^2 = 100

Step-by-step explanation:

y = 6x + 2

Z(-2,0)

x = -2

y = 6 x (-2) + 2

y = -12 + 2

y = -10

M(-2, -10)

r = 0 - (-10) = 10

(x + 2)^2 + (y + 10)^2 = 100

Answer:

(x + 2)^2 + (y + 10)^2 = 100

Step-by-step explanation:

+2.....+10..100

exactly that

Which of the following is not a rational number

Answers

Answer:

c

Step-by-step explanation:

please help me i desperately need it

Answers

Answer: Division property of equality

Step-by-step explanation:

Answer:

associative property  of addition

Step-by-step explanation:

you always have to do what's in the Parenthesis first then move on to what's next in the PEMDAS.

What are the 2 points on the graph? Choose 2

A. (1,2)
B.(2,1)
C.(-1,2)
D.(0,0)

Answers

A is the answer Bc you start on the x-axis end this go up 1 over 2

Answer:

C,D

Step-by-step explanation:

Is 12/3 a proportion

Answers

Answer:

yes

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

12/3 is a proportion as it is an improper fraction, and those are normal.

Naomi is buying bagels for a family gathering. Each bagel costs $1.25. Answer the questions below regarding the relationship between the total cost and the number of bagels purchased.

Answers

Answer:

total cost = 1.50x

Step-by-step explanation:

Given cost of 1 bagel = $1.25

Let the number of bagels purchased by x

cost of x bagels = cost of 1 bagel *x

cost of x bagels = 1.50*x

Thus,

relationship between bagels and total cost is as shown below

total cost = 1.50x

where x is the number of bagels purchased.

Answer:

The independent variable, x, represents the number of bagels purchased, and the dependent variable is the total cost of the bagels, because the total cost of the bagels depends on the number of bagels purchased.

A function relating these variables is N(x) = 1.25x.

So N(4) =5, meaning 4 bagels will cost 5 dollars.

Please give me Thanks

A lemonade recipe calls for the juice of 5 lemons, 2 cups of water, and 2 tablespoons of honey.
Invent four new versions of this lemonade recipe:

1) One that would make more lemonade but taste the same as the original recipe.
2) One that would make less lemonade but taste the same as the original recipe.
3) One that would have a stronger lemon taste than the original recipe.
4) One that would have a weaker lemon taste than the original recipe.
Pls, I'm struggling right now lol.

Answers

Answer:

1. 10 lemons, 4 cups of water and 4 tablespoons of honey

2. 2 1/2 lemons, 1 cup of water and 1 tablespoon of honey

3. 8 lemons, 2 cups of water and 2 tablespoons of honey

4. 2 lemons, 2 cups of water, 2 tablespoons of honey

Answer:

10 lemons, 4 cups of water, 4 tbspoons honey

2 1/2 lemons, 1 cup water, 1 tbspoon honey

7 lemons, 2 cups of water, 1 tbspoon honey

3 lemons, 2 1/2 cups of water, 2 tbspoons honey

Step-by-step explanation:

Can I have Brainliest??? Please!!!

Triangle ABC is graphed in the xy-coordinate plane, as shown.
You may interact with the applet to help answer the questions,
Triangle ABC is reflected across the y-axis to form
AA'B'C'. What are the coordinates of B' after the
reflection?
А
B' (2, - 1)
A 6
5
B
B' (2, 1)
4.
С
B'(-2, 1)
3
С
2
D
B' (1, 2)
1
-8-7 -6 -5 -4 -:B
-1.
1
1 2 3 4
5 6 7
-2
-3
-4
-5
-6
-7
to

Answers

Answer:

that will be A

Step-by-step explanation:

What is the relationship between the 7’s in 771,568

Answers

Answer:

----- (a)

Step-by-step explanation:

The relationship between 7's in 771,568 is :--

700,000 is 10 times more than 70,000

whoever gets it right is going to get marked as brainiest

Answers

Answer:

1/4

Step-by-step explanation:

nefvermine frick sheldon tho

Answers

Answer:

Oof

Step-by-step explanation:

Answer:

get a fast metabloism

Step-by-step explanation:

question in the image

Answers

Answer: 1

A shape will have a line of symmetry if it can be split in half and look exactly the same except reflected on both sides. For example, a butterfly has one line of symmetry.

This shape only has 1 line of symmetry, because there is only one way we can split it in half and still have it look exactly the same.

I hope this helps! Please comment if you have any questions.
Other Questions
"During a chemical reaction, you must have the same amount of substanceon both sides of the quation" This statement is the definition for the * The order in which you multiply inverse matrices is not relevant.TrueFalse What is the product of (4)(4)(4)yy using exponents ASAP. I will give brainlies to right answer!!! Three grams of the same substance in different phases are stored in three different containers. Each container is barely large enough to hold the substance.Which statement can be known about the behavior of the atoms in each container?The atoms in the solid would be moving vigorously around the container.The atoms in the liquid would be vibrating in position.The atoms in the solid would be vibrating in position.The atoms in the gas would be moving slowly around the container. How many more states are in the U.S. than when the Declaration of Independence was signed? Which of the following statement is false? 8 < 8 2>8 2 If a average person and a trained athlete where to exercise which pule rate would be slow and which pulse rate would be fast? Please help me look at the blue highlighted spot PLEASE! pleaseee help me solve this Out of the following, which was NOT an accomplishment by La Salle? 1.22Changes to the Constitution are calledA articlesB reviewsC. sectionsD amendmentsPlease select the best answer from the choices providedABCD fully reduce 18/10 plz i need help need help.................. moles in 9.01x10^23 molecules water hellllllllllllllllllp Help fast! Determine the density of a liquid if its mass is 50.5 grams. -3 times (7+(-3) to the second power) divided by 3 I'm giving 100 points! Type all of the rules back then in Korea. An elephant can drink up to 6,400 fluidounces of water a day. How many gallons ofwater can an elephant drink per day? enrico is laying 1-ft tiles ok a square bathroom floor. if he needs 81 tiles to cover the floor, how many tiles run along each wall?