The perimeter of this rectangle is 156 cm.
What is the length and width of the
rectangle?
2x + 1
3x + 2

Answers

Answer 1

Answer:

x = 15

Therefore, the length and width are 31 and 47.

Step-by-step explanation:

Perimeter = (2x + 1) + (2x + 1) + (3x + 2) + (3x + 2) = 156

Simplified,

10x + 6 = 156

Subtract 6 from both sides, then divide by 10.

10x = 150

x = 15

To find the length and width, substitute 15 (the value of x) into the individual equations.

2(15) + 1 = 31

3(15) + 2 = 47


Related Questions

Guys what is 8÷96 please
anwser I need to finish my homework toda.​

Answers

Answer:

twelv

Step-by-step explanation:

12

Answer:

12

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 8 on the left side and the dividend 96 on the right side like this:

8 ⟌ 9 6

Step 2:

The divisor (8) goes into the first digit of the dividend (9), 1 time(s). Therefore, put 1 on top:

1

8 ⟌ 9 6

Step 3:

Multiply the divisor by the result in the previous step (8 x 1 = 8) and write that answer below the dividend.

1

8 ⟌ 9 6

8

Step 4:

Subtract the result in the previous step from the first digit of the dividend (9 - 8 = 1) and write the answer below.

1

8 ⟌ 9 6

- 8

1

Step 5:

Move down the 2nd digit of the dividend (6) like this:

1

8 ⟌ 9 6

- 8

1 6

Step 6:

The divisor (8) goes into the bottom number (16), 2 time(s). Therefore, put 2 on top:

1 2

8 ⟌ 9 6

- 8

1 6

Step 7:

Multiply the divisor by the result in the previousy step (8 x 2 = 16) and write that answer at the bottom:

1 2

8 ⟌ 9 6

- 8

1 6

1 6

Step 8:

Subtract the result in the previous step from the number written above it. (16 - 16 = 0) and write the answer at the bottom.

1 2

8 ⟌ 9 6

- 8

1 6

- 1 6

0

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 96 divided by 8 calculated using Long Division is:

12

0 Remainder

4x - 2y = 5 and y = 3x - 1

Answers

Answer:

4x_2y=5

4x=5+2y

x=5+2y/5

now, y=3x_1

putting value of x in second question

In this way you can do

Use what you know about triangles and angle relationships to determine the value of x and y in this isosceles triangle.

(Note: use whole numbers only, do not type the degree
symbol or the word)

Answers

Answer:

x = 13

y = 7

Step-by-step explanation:

✔️Recall that sum of the interior angles of a ∆ = 180°

Therefore:

(3x - 3) + (4x + 20) + (7x - 19) = 180° (sum of ∆)

Solve for x

3x - 3 + 4x + 20 + 7x - 19 = 180

14x - 2 = 180

Add 2 to both sides

14x = 182

Divide both sides by 14

✅x = 13

✔️Recall also that an isosceles has two equal sides, therefore:

8y - 7 = 5x - 16

Plug in the value of x

8y - 7 = 5(13) - 16

8y - 7 = 65 - 16

8y - 7 = 49

Add 7 to both sides

8y = 56

Divide both sides by 8

✍️y = 7

Lisa had 4.25 in her purse she brought some school supplies for $2.75 how much money does lisa have left

Answers

Answer:

1.50 $

Step-by-step explanation:

Hope this helps!

Will you please help me with this problem

Answers

Answer:

A

Step-by-step explanation:

if you want the step by step, let me know (:

Answer:

a

Step-by-step explanation:

Solve the system using substitution. show work.
x=y−6
y=6−3x

Answers

Answer:

y=6

x=0

Step-by-step explanation:

X=(y-6)

y=(6-3x)

So For Y

y=6-3(y-6)

y=6-3y+18

add three so it would be 4y=6+18 which then equal 4y=24 then divide 4 then you'll have 6

and for X just plug in whats in (y)

x=(6-3x)-6

So again add 3x to both side to get 4x=6-6 which equal 0 then answer is 4x=0 divide 4 get 0

I NEED HELP ASAP PLEASE

Answers

Graph question: (0,0) & (3,6)

A sporting goods store bought a ski set at a cost of ​$432. ​Later, the ski set was marked down 10​% from its selling price and then marked down another 20​%. The total markdown is the greatest possible markdown without the store losing money. Find the original selling price.

Answers

Answer:

The original selling price of the ski set is $600

Step-by-step explanation:

The cost price of the ski set = $432

The first percentage mark down of the ski set = 10% from its selling price

The first percentage mark down of the ski set = 20% from its selling price

Let x represent the original selling price of the ski set at the sporting goods store, we are given;

80/100 × (90/100 × x) = The cost price of the ski set

Therefore, we have;

80/100 × (90/100 × x) = 432

0.72 × x = 432

x = 432/0.72 = 600

Therefore, the original selling price of the ski set, x = $600

ray uses 1/4 of a gallon of gasoline to drive a distance of 5 1/2 miles. at this rate, how many miles can he drive on 1 gallon of gas

Answers

Answer:

22 miles per gallon

Step-by-step explanation:

5.5 x 4 =

5 x 4 = 20

0.5 x 4 = 2

20 + 2 = 22

22 mi/ga

how do you find the interior angle in a heptagon

Answers

Answer:

A heptagon has 7 sides, so we take the hexagon's sum of the interior angles and add 180 to it getting us, 720+180= 900 degrees

Step-by-step explanation:

The formula for calculating the sum of the interior angles of a regular polygon is: (n-2) x 180 degrees. N is the number of sides

Is the following scenario proportional or not?

Mrs. G. bakes 6 cookies every 10 minutes.

Answers

Answer:

It is not proportional.

Step-by-step explanation:

It isn’t proportional

Last month, it took 3 gardeners 12 hours to fix up the gardens in the city's main square. This month, the city has a bigger budget and can hire 6 gardeners. Knowing that it took 12 hours to finish the job for 3 gardeners. It took 6 hours for 6 gardeners to fix up the gardens.

Answers

Answer:

So what is the question?

Step-by-step explanation:

Which expression is equivalent to 4(7c+3)+5?

A. 11c+7+5
B. 28c+7+5
C. 28c+12+5
D. 28c+12+20

Answers

Answer:

C

Step-by-step explanation:

28c +12 +5 which is the answer choice C

Can someone please help this is due soon and I don’t know how to do it I’ll give brainlest

Answers

Answer:

the explanation contains numbered sticky notes please follow them in order and i  do encourage you to follow along somewhere.

merry christmas :)

x = 67,

y = 124

Estimate a 15% tip on a dinner bill of $31.53 by first rounding the bill amount to the nearest ten dollars.

Answers

Answer:

Should be around 4.5

Step-by-step explanation:

If you round 31.53 to the nearest ten dollars, you get 30, 15 percent of 30 is 4.5

4.73 if it’s one person & if it’s for 2 people then 2.36 per person

Please help asap- will give brainliest:
See the image attached and choose ONE

Answers

Yellow is the correct answer, I think.
if u have desmos it will help a lot and i think it would be blue

✨a Pls help I will park you as brainlist promise ✨✨

Answers

A. I am pretty sure that is right

Answer:

answer is A

Step-by-step explanation:

8/3 =   2.66666 (about 3) miles an hour

You want to find miles per an hour as the unit rate, so divide the total miles CJ walks by how long it took him

Hope this helps! :))

find a number if 0.7 of it is 3.43.

Answers

Answer : I’m thinking 2.73 .

It shouldn’t be a trick question just fake 3.43 minus .7!

help help help!!!!!!!

Answers

Answer:

the 3 dot AC, BC, BA

Step-by-step explanation:

Answer:

Answer answer answer

Step-by-step explanation:

Evaluate 1/3x + 5 when x= -6

Answers

1/3(-6) + 5 = -2 + 5 = 3
The final answer is 3

Answer:

7

Step-by-step explanation:

1/3 of 6=2

2+5=7

when you consider that cows eat grass and the water needed to grow the grass that cows eat it takes 65 gallons

Answers

wow is this a fun fact? i didn’t know

Determine the intercepts of the line. -5x+9y=-18

Answers

Answer:

x-intercept = (18/5,0)

y-intercept = (0,-2)

Step-by-step explanation:

I graphed it and found the intercepts

brainliest would be great

Casey currently owes $500 to his parents. He plans to pay them $60 per month until it is
paid off. Sally also owes her parents money. She borrowed $600 from them and plans to
pay them back $80 per month. Is there a time when they will both owe their parents the
same amount of money?

Answers

Answer:

They will both owe their parents $200 when Casey is paying his 5th month and Sally is paying on her 5th month.

Step-by-step explanation:

If Casey pays 60 dollars after 5 months, he will have payed $300 dollars. He still needs to pay $200.(500-300) If Sally pays 80 dollars after 5 months, she will have payed $400 dollars. She still needs to pay $200. (600-400)

plz quick! 100 pts
A shade of green palnt is to be mixed with 3 parts blue and 2 parts yellow. Ten gallons of green palnt are to be mixed. How many gallons of yellow palnt must be used?

a. 2
b. 4
c. 6 2/3
d. 5​

Answers

Answer:

Hmm I think D but don't take my word for it just a guess

Step-by-step explanation:

Can you help meh pls:)

Answers

Answer:

The answer is Charlie.

Step-by-step explanation:

Sheila is taking medicine to help fight an infection. The function f(x) = 12(0. 82)^x models the amount of a 12-mg dose of antibiotic left in her bloodstream after x hours.

About how many mg are left in her bloodstream after 2 hours?

Answers

Given:

[tex]f(x)=12(0.82)^x[/tex]

where, f(x) is the amount of a 12-mg dose of antibiotic left in her bloodstream after x hours.

To find:

The remaining mg in her bloodstream after 2 hours.

Solution:

The amount of a 12-mg dose of antibiotic left in her bloodstream after x hours is represented by the function

[tex]f(x)=12(0.82)^x[/tex]

Putting x=2, we get the remaining mg in her bloodstream after 2 hours.

[tex]f(2)=12(0.82)^2[/tex]

[tex]f(2)=12(0.6724)[/tex]

[tex]f(2)=8.0688[/tex]

Therefore, the remaining mg in her bloodstream after 2 hours is 8.0688 mg.

Answer:

8.07

Step-by-step explanation:

...

Find the volume for 3 different spheres by randomly choosing different radii.
Using the same radii values, find the volume of 3 cylinders where the height of the cylinder is the same as the diameter of the sphere.
(who ever does it I will give brainliest and answer 3 of there questions)

Answers

Answer:

Hii!!

Volume Of Sphere =[tex] \frac{4}{3} * π * r^3. [/tex]

Let r be 1cm, 3 cm, 6 cm.

So,

Volume of sphere 1 = [tex] \frac{4}{3} * 3.14 * 1^3. [/tex]

Volume of sphere 1 = 4.19 cm^3

Volume of sphere 2 = [tex] \frac{4}{3} * 3.14 * 3^3. [/tex]

Volume of sphere 2 = 113.04cm^3

Volume of sphere 3 = [tex] \frac{4}{3} * 3.14 * 6^3. [/tex]

Volume of sphere 3 = 904.32 cm^3

Volume of cylinders = [tex] π * r^2 * h. [/tex]

Let r be 1cm, 3 cm, 6 cm and h be 2cm, 6cm and 12cm respectively.

So,

Volume of cylinder 1 = [tex] π * 1^2 * 2. [/tex]

Volume of cylinder 1 = 6.28 cm^3

Volume of cylinder 1 = [tex] π * 3^2 * 6. [/tex]

Volume of cylinder 1 = 169.56 cm^3

Volume of cylinder 1 = [tex] π * 6^2 * 12. [/tex]

Volume of cylinder 1 = 1356.48 cm^3

HOPE IT HELPS!!!

BRAINLIEST PLS!!!!

We can write the volume of spheres with three different  radii as given below

[tex]\rm Let\; R_1 , R_2, R_3 \; be \; the \; three\; radii\; of \; sphere \; respectively \\\\\rm Volume \; of \; first \; sphere = (4/3) \pi \ R_1^3 \\\\\rm Volume \; of \; second \; sphere = (4/3) \pi \ R_2^3 \\\\Volume \; of \; third \; sphere = (4/3) \pi \ R_3^3[/tex]

Also we can write the the volume of the cylinders as follows

[tex]\rm Volume \; of \; first \; cylinder = \pi R_1 ^2H_1 = \pi R_1^2 (2R_1) = 2 \pi R_1^3[/tex]

[tex]\rm Volume \; of \; second\; cylinder = \pi R_2^2H_2 = \pi R_2^2 (2R_2) = 2 \pi R_2^3[/tex]

[tex]\rm Volume \; of \; third \; cylinder = \pi R_3 ^2H_3 = \pi R_3^2 (2R_3) = 2 \pi R_3^3[/tex]

Volume of a sphere with radius R is given by equation

[tex]\rm Volume \; of \; the \; sphere \; of\; radius\; R = \bold{4/3 \pi R^3 }[/tex]

[tex]\rm Let\; R_1 , R_2, R_3 \; be \; the \; three\; radii\; of \; sphere \; respectively \\\\\rm Volume \; of \; first \; sphere = (4/3) \pi \ R_1^3 ........(1) \\\\\rm Volume \; of \; second \; sphere = (4/3) \pi \ R_2^3 .........(2) \\\\Volume \; of \; third \; sphere = (4/3) \pi \ R_3^3..........(3)[/tex]

Equation (1) (2) and (3) represent the volumes of three different spheres

Given that the heights of the cylinders are equal to the diameter of the spheres

so from this given condition we can write the following relations

[tex]\rm Height\; of \; first \; sphere = H_1 = 2R_1 \\\\ Height\; of \; second \; sphere = H_2 = 2R_2 \\\\Height\; of \; third \; sphere = H_3 = 2R_3 \\\\[/tex]

The volume of the cylinder is given by equation  (4)

[tex]\rm Volume \; of \; the\; cylinder = \pi R^2 H........(4) \\\\Where R = Radius \; of \; the \; cylinder \\\\H \; is \; the \; Height \; of \; the\; cylinder\\[/tex]

From  the given conditions of heights of  cylinders  and radius of the sphere.

We can write the the volume of the cylinders as follows

[tex]\rm Volume \; of \; first \; cylinder = \pi R_1 ^2H_1 = \pi R_1^2 (2R_1) = 2 \pi R_1^3[/tex]

[tex]\rm Volume \; of \; second\; cylinder = \pi R_2^2H_2 = \pi R_2^2 (2R_2) = 2 \pi R_2^3[/tex]

[tex]\rm Volume \; of \; third \; cylinder = \pi R_3 ^2H_3 = \pi R_3^2 (2R_3) = 2 \pi R_3^3[/tex]

For more information please refer to the link given below

https://brainly.com/question/12748872

 

Pls help me!!!!!!!!!!!!!!!

Answers

Answer:

The answer is B. and C.

Answer:

i think it will be c

Step-by-step explanation:

what is the steps of 3/5÷7/10​

Answers

take 3/5 and flip both 7/10 and the division sign to multiplication so your problem looks like 3/5*10/7 and solve by multiplying 3 and 10 and 5 and 7 to get 30/35 or 6/7

Answer:

6/7

Step-by-step explanation:

1) Keep, Change, Flip.

-We keep the first number the same, the ÷ (division) sign is changed into a X (multiplication) sign.

3/5 x 10/7

-The 7/10 is flipped and is now 10/7.

2) Now we multiply the top and bottom numbers.

30/35

3) Simplify.

30/35 = 6/7

- I divided by 5.

Find the area of the shaded region. Use 3.14 to represent pi. Hint: You need to find height of triangle.





Question 1 options:

329.04 inches squared


164.52 inches squared


221.04 inches squared


272.52 inches squared

Answers

Answer: 221.04 inches squared

Step-by-step explanation:

Other Questions
50 pointsIs this right?Look at both screenshots 50 POINTS PLZ HELP MEEEE 21.. Which of the following objects are larger than the dwarf planets?a. Mercury b. Earthc. Earths Moon d. all of the above O*NETs Work Context section for Actors. According to O*NET, what are common work contexts for Actors? Check all that apply. a. physical proximityb. face-to-face discussionsc. deal with physically aggressive peopled. exposed to hazardous equipmente. contact with others f. work with group or team Which sentence is written in first-person point of view? (5 points) aHer friends cheered as she scored the winning goal. bMy friends cheered as I scored the winning goal. cRita's friends cheered as she scored the winning goal. dYour friends cheered as you scored the winning goal. RIP Brandon Bernard. You will be missed. Competition occurs when organisms try to use the same limited resource. True or False Highlight language that appeals to your senses.In the hottest summer, and coldest winter, I was kept almost naked - no shoes, no stockings, no jacket, no trousers, nothing on but a coarse tow linen shirt, reaching only to my knees.Narrative of the Life of Frederick Douglass,Frederick DouglassWhich sense does this sentence best appeal to?A. touch B.tasteC.hearing D.smell solve for x (x-2)(x+1)=3x-2 what is x and x HELPPPPPPPPPPPPPPPPPPP can someone help me helpful answer pls Which of the following contributed most to the situation described in thisexcerpt?-The influx of immigrants into urban areasBThe rise of corporate monopoliesStrict banking regulations and high income tax ratesDHigh unemployment and widespread home foreclosures Please help me. I would really apprieciate it. I will give brainliest. Thank you :) This is part 4 of 5. So if you are a fluent spanish speaker I would really appriecieate you taking a look at my others too. Thank you:) Please help!! I really appreciate it! Use the table that shows popular sports carcolors in North America.a. How many times more respondents chose silver than red?Round to the nearest tenth if necessary. Bloodborne diseases cannot be transmitted by any other means thanneedlesticks.TRUEFALSE A theater has group prices for tickets. The first ticket will cost $10 while each additional ticket costs $8. Which rule models the situation? a. an= 10 + 8 (n - 1)b. an-1= 10 + 8 (n - 1)c. an= 18 (n - 1) d. an-1= 18 (n - 1) Yo me ____varias veces durante la noche. (levantar) Larry was 56 inches after his 6th grade year. After his 7th grade year he was 72 inches. What percent change in height happened to Larry? A. 22.22% B. 28.57% C. 77.77% D. 1.28% A brine solution is 26% salt with 70.0 kg of water evaporated per hour. To produce 195 kg of pure salt (0% moisture) per day, how long should the process operate each day and how much brine must be fed to the evaporator per hour? The process should operate each day for ___ hours. The amount of brine that must be fed to the evaporator is ___ kg/h.