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

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

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wow is this a fun fact? i didn’t know

I NEED HELP ASAP PLEASE

Answers

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

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!

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

Answers

Answer:

The answer is B. and C.

Answer:

i think it will be c

Step-by-step explanation:

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

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

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

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:

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

Can you help meh pls:)

Answers

Answer:

The answer is Charlie.

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

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

 

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:

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

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

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

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)

help help help!!!!!!!

Answers

Answer:

the 3 dot AC, BC, BA

Step-by-step explanation:

Answer:

Answer answer answer

Step-by-step explanation:

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

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:

✨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! :))

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

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

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!

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

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:

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

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
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