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

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:

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

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.

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

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

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

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.

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°.

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))

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:

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

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:

whoever gets it right is going to get marked as brainiest

Answers

Answer:

1/4

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.

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.

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

Answers

Answer:x > 1/5

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

nefvermine frick sheldon tho

Answers

Answer:

Oof

Step-by-step explanation:

Answer:

get a fast metabloism

Step-by-step explanation:

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.)

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:)

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

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:

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:

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:

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:

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

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!!!

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

-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

:)

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