The length of a rectangle in centimeters is two more than thrice its width. a) Write an expression, in the simplest form, for the perimeter of the rectangle. b) Find the length of the rectangle if the perimeter is 36 cm

Answers

Answer 1

Answer:

Perimeter of the rectangle = 8 x +4

Length of the rectangle = 12 units.

Step-by-step explanation:

Let the width of the rectangle as 'x' units.

So, length of the rectangle is 2 more than 3 x.

We can set up expression for length as 3 x+2.

Now, perimeter is sum of all side lengths of the rectangle.

So, perimeter = x+x+3 x+2 +3 x+2

Combine like terms,

Perimeter = 8 x+4

Now, it is given perimeter is 36cm

So,

8 x+4=36

Subtract both sides 4

8 x=32

Divide both sides by 8

x=4

So, width of the rectangle =4

Length =3(4) +2=14


Related Questions

Mar 12, 9:04:40 PM
Find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:

x=sqrt(5/2)

Step-by-step explanation:

A music store bought a CD set at a cost of ​$.10 When the store sold the CD​ set, the percent markup was ​%20. Find the selling price.

Answers

Answer:

$12

Step-by-step explanation:

$10 is   100% of the price

 The selling price is 120% of the price

x= selling price

10 -------------100%

x ----------------120 %

Cross multiplication

10x120 = 100x

1200 = 100x

Divide both sides by 100

12 = x

 Selling  price = $12

Do not factor by grouping. Solve 2(x-2)^1/3=x+2

Answers

Step-by-step explanation:

2(x-2)⅓=x+2

so we first cube each side,such that...

(2(x-2))⅓•³=(x+2)³

we get...

2(x-2)=(x+2)³

expanding...

2x-4=x³+6x²+12x+8

grouping....

x³+6x²+12x+8-2x+4=0

solving...

x³+6x²+10x+12=0

now you can use you calculator to solve for the possible values of x

I hope this will help

hi please help i’ll give brainliest please

Answers

Answer:

45

Step-by-step explanation:

The answer would be 45

When solving for x in a one-variable equation, there can be one solution, no solution, or infinitely many solutions. In complete sentences, explain whether this statement is true or false, and why.

Answers

X is one variable sooo it is true

a girl 2.2m tall observes that the angle of elevation of the top of a building 16m away from her is 45° find the height of the building​

Answers

Answer:

18.2 m = height of the building

Step-by-step explanation:

Let x = the distance from the top of the girl's head to the top of the building

tan 45 = x/16

x = 16 tan 45

x = 16 m

16 + 2.2 = 18.2 m = height of the building

Find the lettered angles in each of the following (see image ).
Sorry for the wobbly drawing.
please show workings.​

Answers

Answer:

x = 252°, y = 126° , z = 54°

Step-by-step explanation:

( Hopefully I've read the size of the angle 126° correctly )

The central angle x is twice the inscribed angle, that is

x = 2 × 126° = 252°

∠ y = 126° ( angles on the circumference subtended by the same arc )

y and z are adjacent angles and are supplementary , that is

y + z = 180°

126° + z = 180° ( subtract 126° from both sides )

z = 54°

Graph the equation y + 4 = .

Answers

Answer:

just go to Desmos graphing calculators

Step-by-step explanation:

and that all

With out a second variable (ie., y+4=x) the assumption is that y+4=0. Therefore, subtracting 4 from both sides results in y=-4. This would be a horizontal line crossing the y axis at -4.

What is a reason to include the image of a setting sun in this advertisement? a to provide more color to the advertisement b to make the sale more appealing to shoppers c to add something interesting to the ad d to reinforce the idea that the season is ending

Answers

Answer:

The reason is to allow others to explore and have an image to reference to.

Step-by-step explanation:

Answer:

B, to make the ad more appealing

what is the answer to x - 4 = -2

Answers

Answer: x=2

Step-by-step explanation: add 4 to both sides of the equation.

What is the experimental probability that a coin toss results in two heads showing?

Answers

Answer:

you have a 0.25 chance

Step-by-step explanation:

Each coin has a 0.5 so to get two on heads is 0.25 sorry I don't have time for a detailed reason

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if the income tax rate is 4%, determine the amount of income tax paid on income of $20,000.​

Answers

Answer: $800.

Step-by-step explanation:

To find the income tax of $20,000 simply multiply 20,000 by the decimal of 4%.

20,000 x 0.04 = 800

The area if a rectangular frame is 32 square inches. The perimeter of the frame is 24 inches. Which shows the correct dimensions of the frame?

Answers

Answer:

8 x 4

Step-by-step explanation:

Lets say the length is x and the width is y.

xy = 32

2x + 2y = 24

Rearranging the second equation, we get:

2x = 24 - 2y

/2         /2

x = 12 - y

substitute into the first equation

y(12 - y) = 32

12y - y^2 = 32

-32             -32

-y^2 +12y - 32 = 0

x -1                      x -1

y^2 - 12y + 32 = 0

(y - 8)(y - 4) = 0

y = 8 or 4

substitute into x = 12 - y.

x = 12 - 8 = 4

x = 12 -4 = 8

so the correct dimensions are 4 x 8, as either x = 4 and y =8, or x = 8 and y = 4.

Hope I helped!

why does noone help me it hurts my feelings
Tasha has foam blocks stored in a box that measures 3 1/4 feet long by 3 feet wide by 1 feet tall. Each foam block is a cube with 1/4 -feet edge length. How many blocks can fit into the box?
A. 156 blocks
B. 312 blocks
C. 624 blocks
D. 2496 blocks
https://brainly.com/question/22292805

Answers

Answer:

C. 624 blocks

Step-by-step explanation:

The volume of the box:

V = lwh

Substitute values:

V = 3 1/4 × 3 × 1 = 13/4 × 3 = 39/4

The volume of each block:

V = 1/4×1/4×1/4 = 1/64

Number of blocks that the box can fit:

39/4 ÷ 1/64 = 39/4 × 64 = 39 × 16 = 624

Correct choice is C

Step-by-step explanation:

your answer is 624 blocks

help ASAP ill mark brainliest. The answers are the 4 other images attached

Answers

Answer:

Step-by-step explanation:

The can find this my matching each number of the chart with each diagram

It can't be the first one because the 17-19 isn't on 8, it is on 4

It can't be the second one because the 20-22 isn't on 7, it is on 9

It is the third one because all the number on the chart is matching with the numbers on the diagram

It can't be the fourth one because the 17-19 isn't on 8, it is on 4

can you help me. What is 2x-14

Answers

Answer: 2(x-7)

Step-by-step explanation: 2x−14

2x−14

=2(x−7)

Answer:

-8

Step-by-step explanation:

so first start off by doing 2x(-14)

this will get us to our answer -8.

It's pretty easy, try using a calculator to help if needed.

☺️


[tex] \sqrt{4. \sqrt{9} } [/tex]

Answers

Answer:

[tex]2 \sqrt{3} [/tex]

Step-by-step explanation:

1) Since 3 × 3 is 9, the square root of 9 is 3.

[tex] \sqrt{4 \times 3} [/tex]

2) Simplify 4 × 3 to 12.

[tex] \sqrt{12} [/tex]

3) Simplify

[tex] \sqrt{12} \: \: to \: 2 \sqrt{3} [/tex]

[tex]2 \sqrt{3} [/tex]

Can someone please help me with this find the unit rate of these 2 items cost per item which is these 2 bag of chips set it up please and show work I’ll mark brainliest

Answers

The answer would be $3 but to show work you would put 6=2x then divide everything by 2 and get 3=x

For the Celsius temperature given, determine the corresponding Fahrenheit temperature. Use the formula t℃=(32+1.8t)℉ for any rational number t. what is the answer

Answers

Answer:

50°F

Step-by-step explanation:

Given the equivalent celcius and Fahrenheit temperature relation :

t℃=(32+1.8t)℉

t = any rational number :

Taking a rational number, t = 10

The Fahrenheit temperature obtained will be :

t°C = 10

t℃=[32+1.8(10)] ℉

10°°C = (32 + 18)°F

The equivalent Fahrenheit temperature = 50°F

While shopping Marcy spent $59. If the amount she spent is 25% of her savings, how much savings did she have before she shopped

Answers

Answer:

Savings= $236

Step-by-step explanation:

Giving the following information:

Money spent= $59

Proportion of savings= 25% = 0.25

To calculate the total savings before shopping, we need to use the following formula:

Savings= money spent / proportion of savings

Savings= 59 / 0.25

Savings= $236

Question and answer options attached. Please help, thanks!

Answers

Answer:

there is no question but i think out of a,b,c and e i think b or c

Step-by-step explanation:

sorry

Error Analysis - Describe and correct the error a student made when multiplying two

binomials.


(2x + 2) (4x - 1)

8x ² - 2

Answers

Answer:

The correct answer is:

Error made: The student multiplied only corresponding terms in each bracket with each other

Correction: Each term in one bracket is to be multiplied with every term in the next bracket

Step-by-step explanation:

The student paired the terms in the brackets into like terms and multiplied the like terms like this:

(2x + 2) × (4x - 1)  

collecting like terms: (2x, 4x) (2, -1)

(2x × 4x) (2 × (-1)) = 8x² - 2.

The above is the wrong way of expanding the bracket. The correct way of doing it is as follows:

(2x + 2) (4x - 1)

Each term in one bracket multiplies each term in the second bracket.

= 2x (4x - 1) + 2(4x -1)

= 8x² - 2x + 8x - 2

= 8x² + 6x - 2

will mark brainliest and mark 5/5

Answers

9514 1404 393

Answer:

AY = 4.8YD = 2.4

Step-by-step explanation:

Corresponding sides of the triangles are ...

  ΔFUN  . . .   ΔDAY

  UF = 10 . . .  AD = 6

  FN = 4 . . .  DY

  NU = 8 . . .  YA

Corresponding sides are proportional, so we have ...

  DY/4 = AD/UF = 6/10

  DY = 4(0.6) = 2.4

and

  YA/8 = 6/10

  YA = 8(0.6) = 4.8

The side lengths are ...

  AY = 4.8, YD = 2.4

Answer:

.

Step-by-step explanation:

A 50.0 gram sample decays to 25 grams in 14.4 seconds. What is its half-life?

Answers

Answer:

The half life is 14.4 seconds because the half life is the time it takes for half of a sample to decay.

Hope this helps!

Find the perimeter of the rectangle below.
5x2 - 6
2x2

Answers

The answer Is 4! Good luck

How many sides does the thirtieth figure have?

Answers

Answer:

8.

Step-by-step explanation:

multiples of 3 for every shape.

answer: 7 sides

step by step:
first 3 have 3 sides (3 shapes)
second set of 3 have 4 sides (6 shapes)
the next set has 5 (9 shapes)
the next set has 6 (12 shapes)
the next set has 7 (the 13th shape would be in this set)

Can 3 over 11/2 and 6 over 11 be a proportion?? Please explain!!! ASAP

Answers

Answer:

Yes! these are in the same proportion

Step-by-step explanation:

Lhs = 3 over 11/2 = 3/(11/2)

=>3× (2/11)

=> 6/11

=> Rhs

Translate this phrase into an algebraic expression. Eight more than the product of 8 and a number Use the variable n to represent the unknown number.

Answers

Answer:

8n + 8

Step-by-step explanation:

We already know that n is the unknown number. Product means multiplying, so you multiply 8 by the unknown number. More than means adding, so you add 8 to the product of 8n.

Calculate the area of these shapes. Answer correct to one decimal place:

Working out is needed

Answers

c) 25 X π / 2 ≈ 39.3, d) 16 X π / 4 ≈ 12.6, b) 100 X π / 4 X 3 ≈ 235.6

Help me please thanks alout

Answers

6/10
because if u divide 6 by 2, u get 3
and divide 10 by 2 to get 5
so 6/10 is equivalent

Answer:

6/10

Step-by-step explanation:

6/10 is equal to 3/5 because you can multiply 3/5 times 2. So multiply the numerator(3) times 2, which is 6, then multiply the denominator(5) times 2 as well, which is 10.

Hope this helped!

P.S (in case you don't know the definition of numerator or denominator)

Nominator- the top number of a fraction.

Denominator- the bottom number of a fraction.

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