The length of a rectangle is (2x + 4) and the width is (3x - 2) with a perimeter of 104cm.
Write and solve an equation to determine the length and width of the rectangle. Explain how you
determine your answer.

Answers

Answer 1

Answer:

The length of a rectangle is (2x + 4) and the width is (3x - 2) with a perimeter of 104cm.

Write and solve an equation to determine the length and width of the rectangle. Explain how you

determine your answer.

Answer 2

Answer:

length = 24 cm

width = 28 cm

Step-by-step explanation:

Since p = 2(l + w), we can form an equation and solve for x to find the missing sides with our algebraic expressions given that our length [l] is (2x + 4), our width [w] is (3x - 2), and our perimeter [p] is 104 cm.

p = 2(l + w) → [104] = 2([2x + 4] + [3x - 2]) →

104 = 2(5x + 2) → 104 = 10x + 4 →

100 = 10x → 10 = x → x = 10

Now that we have the value of x, we can substitute this into our given expressions of the length and width to find the actual length in centimeters.

So, x = 10 → l = (2x + 4) → l = (2[10] + 4) →

l = 24.

And, x = 10 → w = (3x - 2) → l = (3[10] - 2) →

w = 28.

Also we can prove these answers are correct because:

p = 2(l + w) → [104] = 2([24 + 28]) →

104 = 2(52) → 104 = 104.


Related Questions

HELP ME PLEASE I NEED HELP ASAP JUST SOLVE THE EQUATION

Answers

Answer:

x=18

Step-by-step explanation:

I hope this helps I just did mental math so im not sure

HELPPP !!! Lennon is depositing $1,250 in a bank account that earns 4% compounded annually. After 2 years , how much will Lennon have in his account ?
A 1350
B 1352
C 1250
D 1300​

Answers

Answer:

A) 1350

Step-by-step explanation:

4% of $1250 is 50 dollars.after 2 years the amount should be 100 dollars added

Evaluate: 3-3 =
A. 1/9 B. -27 C. 1/27 D. -9

Answers

The answer for this question is C

Malik's arts and crafts shop have a bolt of crimson velvet 32 meters long. A customer came in during the morning and bought 120 centimeters of the velvet. Another customer bought an additional 14 meters during the afternoon. How much crimson velvet does Malik's shop have left? Write the answer in centimeters.

Answers

Answer: 3200-1520=1680 cm
1,680 centimeters of crimson velvet

Select the slope-intercept form of an equation for a line with y-intercept -2 and slope 6.

Answers

Answer:

y = 6x - 2

Step-by-step explanation:

slope intercept form is y = mx + b

m = slope

b = y-intercept

They give us the slope (m) which is 6 and the y-intercept (b) which is -2. PLug it into the equation

y = mx + b

y = 6x - 2


how much work was done to move the car from 0.3 m to
0.7 m?

Answers

.4 meters would be your answer!

PLEASE HELP, ALGEBRA IS NOT MY SUBJECT!!!​

Answers

Answer:

2x-5y=35 :)

Step-by-step explanation:

_____ darling your my beast friend
but theirs a feaw things that you dont know of
like how i borrow your lipstick so often
im yousing your shirt as a pillow case
i wanna ruin are friendship we should be lovers insistent
i dont know how to say this but your rlly my dearest friend

Answers

Answer:

□ single

☑ taken

☑ named Justin

☑ cracked at fortnite

I need help, I'll give brainliest

Answers

4x+3=17x+4
-13x=7
x=0.54
AB=5.16
mark me brainliest if the answer is correct, thank you in advance :)

Answer:

The length of AB is 19.

Step-by-step explanation:

Lengths BC and AD are congruent to each other.

BC: 17x + 4 equals AD:18x

17x + 4 = 18x .... that's the equation it makes and the equation we are going to solve.

[tex] \ 17x + 4 = 18x \\ \frac{ - 17x \: \: \: \: \: \: \:\: = - 17x} {4 = 1x} \\ \\ \frac{4 }{1} = \frac{1x}{1} \\ 4 = x[/tex]

Since we found out the value for 'x', now we are going to plug it in 4x + 3.

[tex]4x + 3 \\ 4(4) + 3 \\ 16 + 3 \\ 19[/tex]

The length of AB is 19.

The internet won't tell me because it is too scientific or whatever but what do I call the person speaking in the video? The narrator?

Answers

Answer:

yes

Step-by-step explanation:

you can either call it the narrator or the speaker.

~Ren

I need help asap pleaseee

Answers

Answer:

x = 3 and 1/3

Step-by-step explanation:

First, get the interior angle of the 114 by subtracting 114 from 180, and you should get 66. Next, add the two known interior angles of 66 and 64 to get 130. With the knowledge that the 3 interior of all triangles add up to 180, you should know that 3x-40 is equal to 180 -130, or 50. With 3x+40 = 50, start by subtracting 40 from both sides for 3x = 10. Finally, divide both sides by 3 to get x = 3 and 1/3

factorise x² - 14x-40

Answers

Answer:

mabye like 40-14 and then figure out what it equals

What is the simplified form of the fraction below?

8/48
A.
1/4
B.
1/6
c.
1/3
B.
1/8
D.

Answers

Answer:

b

Step-by-step explanation:

B. 1/6; bc 48 divided by 8 is 6

PLEASE HELP,, MARKING BRAINLIEST!!!

Solve for x, show work if possible :)

Answers

x over six and 8 over 10. this is the important part. 6/x and 8/10. multiply x by 8 and 6 by 10. then divide 60/8 and your answer will be 7.5 :)

The rabbit population in a certain area is 200% of last year's population. There are 1,100 rabbits this year. How many were there last year? (Fill in the boxes to help solve this question. Only type the number part of your answer, no words.) *

Answers

Answer:

2200

Step-by-step explanation:

Answer:

550

Step-by-step explanation:

We can write a proportion to find the total amount using the information given. A proportion is two equivalent ratios set equal to each other. Since we know the population increased to 200% of last year and is 1,100.

200/100 = 1100/y

We will cross multiply the numerator of one ratio with denominator of the other. And then solve for y.

200y=100(1100)

200y=110,000

y=550

There was 550 rabbits last year.

How would you find an interquartile range with just numbers?

For exe, 0,2,4,0,2,3,8,6. After you unscramble them, you do you know what the iqr is?

Answers

Answer:

IQR is 3.5

Step-by-step explanation:

Step 1: Organize the numbers in numerical order

0,0,2,2,3,4,6,8

Step 2: Break the set up into quartiles (4 parts)

0 0 | 2 2 | 3 4 | 6 8

Step 3: Find the average of each quartile

0 | 2 | 3.5 | 7

Step 4: Find the IQR (Q3-Q1)

3.5-0=3.5

Therefore, the IQR is 3.5

what's the solution ​

Answers

Answer:

The center is -1,5   and the radius is 2

Step-by-step explanation:

Subtract 22 from both sides of the equation. x 2 + y 2 + 2 x − 10 y = − 22 Complete the square for x 2 + 2 x . ( x + 1 ) 2 − 1 Substitute ( x + 1 ) 2 − 1 for x 2 + 2 x in the equation x 2 + y 2 + 2 x − 10 y = − 22 . ( x + 1 ) 2 − 1 + y 2 − 10 y = − 22 Move − 1 to the right side of the equation by adding 1 to both sides. ( x + 1 ) 2 + y 2 − 10 y = − 22 + 1 Complete the square for y 2 − 10 y . ( y − 5 ) 2 − 25 Substitute ( y − 5 ) 2 − 25 for y 2 − 10 y in the equation x 2 + y 2 + 2 x − 10 y = − 22 . ( x + 1 ) 2 + ( y − 5 ) 2 − 25 = − 22 + 1 Move − 25 to the right side of the equation by adding 25 to both sides. ( x + 1 ) 2 + ( y − 5 ) 2 = − 22 + 1 + 25 Simplify − 22 + 1 + 25 . ( x + 1 ) 2 + ( y − 5 ) 2 = 4 This is the form of a circle. Use this form to determine the center and radius of the circle. ( x − h ) 2 + ( y − k ) 2 = r 2 Match the values in this circle to those of the standard form. The variable r represents the radius of the circle, h represents the x-offset from the origin, and k represents the y-offset from origin. r = 2 h = − 1 k = 5 The center of the circle is found at ( h , k ) . Center: ( − 1 , 5 ) These values represent the important values for graphing and analyzing a circle.

Katherine is conducting an experiment with bacteria where she cools the temperature of one bacteria to -51°C and the other bacteria to -76°C. What was the temperature difference in the two experiments?

Answers

Answer:

Difference in temperature = 25°C

Step-by-step explanation:

Given:

Temperature 1 = -51°C

Temperature 2 = -76°C

Find:

Difference in temperature

Computation:

Difference in temperature = Temperature 1 - Temperature 2

Difference in temperature = -51°C - [-76°C]

Difference in temperature = -51°C + 76°C

Difference in temperature = 25°C

how do you find what equation models the data?

Answers

I would divide the value in front of another value by the other value

Josiah want to gp to the movies with his friends. Tickets are $8.50 plus he must play Fangalingo a $3 transaction fee for purchasing the tickets online. Write an equation that represents the number of tickets that Josiah can buy with $45.50

Answers

Answer:

The equation that represents the number of tickets that Josiah can buy with $45.50

3 + 8.50x = 45.50

The number of number of tickets that Josiah can buy with $45.50 is 5 ticketa

Step-by-step explanation:

Let the number of tickets be represented by x

Tickets are $8.50 plus he must play Fangalingo a $3 transaction fee for purchasing the tickets online.

The equation that represents the number of tickets that Josiah can buy with $45.50

$3 + $8.50 × x = $45.50

3 + 8.50x = 45.50

Solving further for x

3 + 8.50x = 45.50

8.50x = 45.50 - 3

8.50x = 42.50

x = 42.50/8.50

x = 5

Hence, the number of number of tickets that Josiah can buy with $45.50 is 5 ticketa

help pls!1!1!1!1!!1!1

Answers

Answer:

D

Step-by-step explanation:

Answer AND Step-by-step explanation:

I'm not really sure, but I'm pretty sure the answer is D.

2(c + 8) = - 12 find the value of c

Answers

Answer:

c= 14

Step-by-step explanation:

hope this helps

Graph the image of this figure after a dilation with a scale factor of 3 centered at (-7, -6).
Use the polygon tool to graph the dilated figure.
Polygon
+ Move
Undo
Redo
x Reset
у
10
9
8
7
6
5
4
3
2
US

Answers

Answer:

(0,6) (-2,5) (1,3)

Step-by-step explanation:

The dilation transformation gives an image that is similar to the pre-image but have a different size.

What is Scale Factor?

A scale factor is a number that can be used to adjust the size of any geometrical figure or object in relation to its original size. It's used to draw the enlarged or reduced shape of any given figure, as well as to calculate the missing length, area, or volume of an enlarged or reduced figure.

We have,

scale factor = 3

and, centered at (-7, -6).

Points on the figure are; A(-7, -3), B(-3, -2), C(-4, -5)

The given points relative to the center of dilation are;

(-7 - (-7), -3 - (-6)) = (0, 3)

(-3 - (-7), -2 - (-6)) = (4, 4)

(-4 - (-7), -5 - (-6)) = (3, 1)

and, after the dilation is

3 × (0, 3) = (0, 9)

3 × (4, 4) = (12, 12)

3 × (3, 1) = (9, 3)

Adding the coordinates of the center of dilation are

A' = (0 + (-7) , 9 + (-6)) = (-7, 3)

B' = (12 + (-7) , 12 + (-6)) = (5, 6)

C' = (9 + (-7) , 3 + (-6)) = (2, -3)

Therefore, the image is A'(-7, 3), B'(5, 6), C'(2, -3).

Learn more about dilation transformation here:

brainly.com/question/4078841

#SPJ7

Subtract. 8 4/5−5 1/10 options 3 7/10 3 3/10 3 5/5 3 3/5
PLS HELP WILL MARK BRAINLIEST IF RIGHT!!!!!!!!!!!

Answers

Answer:

3 7/10

Step-by-step explanation:

are u sure this is highschool cuz this is too easy and im in middle school :/

please help me out thanks ​

Answers

It’s going to be the second one. B
The answer is D)

Hope this helps

+
ht
3
4
-1
2
+
2
4
15-1 -
0 1
A==
+
1
3
? Use the number line to explain your
3
4
answer.
No, because
is to the left of
4
3
4
O No, because
is to the right of
4
4
Yes, because
is to the left of
4
3
4
Yes, because
is to the right of
4.
3
4

Answers

Answer: B.) No, because - 1/4 is to the right of - 3/4

That was the answer I got it right!!!

1. The Sharks Aquatic Club recently held a fundraiser to raise money for a local charity. The swimmers received money for each lap that they swam during a one-week period. The three swimmers who raised the most money were Rita, John, and Rodell. Together they swam a total of 2125 laps. John swam three times as many laps as Rita, and Rodell swam 25 more laps than John. How many laps did each swimmer swim?​

Answers

Answer:

Rita = 300

John = 900

Rodell = 925

Step-by-step explanation:

rita = x (let

john = 3x ( john swims three times more than rita

rodell = 25 + 3x ( rodell swims 25 more than john

x + 3x + 25 + 3x = 2125

or, 7x + 25 = 2125

or, 7x = 2125 - 25

or, x = 2100/7

x = 300

hence,

x = 300

3x = 3 × 300

= 900

25 + 3x = 25 + 900

= 925

I need someone out there who can solve this answer find the value of X Please I very much appreciate it

Answers

Yes, like the previous answer stated, the answer is x=5.

What's the depth of 5cm

Answers

Answer:

what?

Step-by-step explanation:

Divide. −38÷−67 please help dudes

Answers

Answer: -7/16

Step-by-step explanation: You flip the right side so it's -3/8*7/6, cross out 3 and 6, so it turns into -1/8*7/2, so 7*(-1) and -8(2), so -7/16

Answer:

7/16

Step-by-step explanation:

Other Questions
EIdentify the intermediate goals that would be most helpful toward becoming a Roofer. Check all that apply.within six months, complete a high-school math class with at least a "B" grade.within one year, complete an internship caring for dogs at a local animal shelterwithin two years, graduate from high schoolwithin three years, earn a certification in personal financewithin four years, organize and run an event to raise money for charitywithin five years, complete an apprenticeshipwithin six years, get a job with a construction company5) Intro Henry bought a package of cough drops for $3.79. He gave the clerk a $5 bill. How much change should he receive? Explain in 3-5 sentences why the British would be against independence for the American colonies using the quote by Nehemiah Grew discussed during class. Which event is the best example of imperialism?A) the Opium Wars in ChinaB) the Spanish InquisitionC) the Yalta ConferenceD) the Hundred Years' War Which of these is the BEST description of the people of the Mississippian Period? A) They were farmers who used simple tools. B) They only hunted and gathered food in small groups. C) They were buffalo hunters who lived along the coast. D) They lived indoors because outside was too dangerous. What is an equation of the line that passes through the point (-5,-3)(5,3) and is parallel to the line 3x+5y=15 Suppose you face a choice between a certain income of $2,000, or a 50-50 chance of income of $1,000 or $3,000. Suppose you prefer the certain $2,000. You are risk averse.a. True b. FalseSuppose that a disease affects 5% of the population and that everyone is equally likely to get the disease. Treatment for this disease costs $38,000. Assume that this disease, and necessary treatment, represent the only healthcare costs in this population. The expected cost of healthcare is $_________. If people___________ to pay the expected cost of healthcare with certainty, rather than take on the 5% risk of having to pay the full cost of the treatment, they are risk averse. Identify the root and its meaning for the italicized word.As a sophomore, Kevin felt he was more knowledgeable than the incoming freshmen.Root: so, sopho, more - are the optionsMeaning: wise,sure, second - are the options Ashton is looking for new soccer cleats for the new season. He found the perfect pair, Nike vapor edge pro 360, But the cost is $140 without taxes. Ashton only his $150. If he has to pay the full price and an 8% tax fee, would he be able to buy his cleats? Why or why not. PLEASE HELPSHOW WORK PLEASE what is 15% of 98 explain how u know Three reasons why recording of weather data in school may be inaccurate HELP ASAP PLZRegarding U.S. citizenship, what does the concept of naturalization mean?A. people born in other nations who complete a legal process may become citizensB. people born to citizen parents are citizens by lawC. people born in other nations become citizens after certain period of residencyD. people born in the united states proper are citizens by nature of birth What is the acceleration of a 50 kg object pushed with a force of 500 newtons? for geometry:(please help, will give brainist What improvements were made to transportation in Georgia after the American Revolution? Select all that apply.A Airplanes were used to send cotton out of state.B. The railroad arrived in Georgia.C. Steamboats were used to bring slaves to Georgia. -1/2 (b + 2) + 36? Use the tables to create the function in slope-intercept form*Look at photo*[tex]y = mx + b[/tex] Escoge la mejor opcin que completa la frase con la forma correcta del superlativo. Choose the best option to complete the sentence with the correct form of the superlative.Me encantara viajar a todas partes del mundo pero no puedo ahora porque los boletos estn ________(caro). (1 point) What do I put for x and y ?And what do I put in the bottom spots ?