The perimeter of a rectangle is 212 centimeters. Find the length and width if the length is an even integer and the width is 5 times the next consecutive even integer.

Answers

Answer 1

The length and width of the rectangle are 16 cm and 90 cm respectively

What is the Perimeter of a Rectangle?

The perimeter P of a rectangle is given by the formula, P=2 ( L + W) , where L is the length and W is the width of the rectangle.

Perimeter P = 2 ( Length + Width )

Given data ,

Let the perimeter of the rectangle be P = 212 cm

Now , the equation will be

The length of the rectangle be = L

And , length is an even integer and the width is 5 times the next consecutive even integer

So , the width of the rectangle W = 5 ( L + 2 )

Substituting the values in the equation , we get

Perimeter of rectangle P = 2 ( Length + Width )

212 = 2 ( L + 5 ( L + 2 ) )

On simplifying the equation , we get

106 = L + 5L + 10

6L = 96

Divide by 6 on both sides of the equation , we get

L = 16 cm

So , W = 5 ( L + 2 )

W = 5 x 18

W = 90 cm

Hence , the length and width of rectangle is 16 and 90 respectively

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Related Questions

need help quick!!!!!

Answers

Answer:

x = y = 6

Step-by-step explanation:

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you.

16 is the geometric mean of 8 and what other number n

Answers

9514 1404 393

Answer:

  32

Step-by-step explanation:

The geometric mean relation says ...

  16 = √(8n)

  256 = 8n . . . . . square both sides

  32 = n . . . . . . . . divide by 8

The other number n is 32.

Find y when x = 2

y = 30 - 2x​

Answers

y = 30 - 2(2)
y= 30 - 4
y = 26

A turkey was cut into 10 equal pieces. If Katie ate 210 of the turkey, and Lorenzo ate 510 of the turkey, how many whole pieces of the turkey are left?

Answers

Answer:

3 Whole pieces

Step-by-step explanation:

A turkey was cut into 10 equal pieces.

For Katie

If Katie ate 2/10 of the turkey

Number of Whole pieces of turkey Katie ate =

2/10 × 10 whole pieces = 2 whole pieces

For Lorenzo

Lorenzo ate 5/10 of the turkey

Number of Whole pieces of turkey Lorenzo ate =

5/10 × 10 whole pieces = 5 whole pieces

how many whole pieces of the turkey are left?

This is calculated as:

10 pieces - (2 piece + 5 pieces)

10 pieces - 7 pieces

= 3 pieces

Therefore, we have 3 whole pieces of turkey left.

Answer:

3 Whole pieces

Step-by-step explanation:

A turkey was cut into 10 equal pieces.

For Katie

If Katie ate 2/10 of the turkey

Number of Whole pieces of turkey Katie ate =

2/10 × 10 whole pieces = 2 whole pieces

For Lorenzo

Lorenzo ate 5/10 of the turkey

Number of Whole pieces of turkey Lorenzo ate =

5/10 × 10 whole pieces = 5 whole pieces

how many whole pieces of the turkey are left?

This is calculated as:

10 pieces - (2 piece + 5 pieces)

10 pieces - 7 pieces

= 3 pieces

Therefore, we have 3 whole pieces of turkey left.

estimate the difference
7 3/4 subtracted by 2 2/5
show your work

Answers

7 3/4 - 2 2/5
(7-2)+(3/4-2/5)
5+7/20

5 and 7/20 or 5.35

Answer:

5 7/20

Step-by-step explanation:

basically, you are going to want to turn these into improper fractions

7 3/4 = 28/4 + 3/4

        = 31/4  (no further simplification)

2 2/5 = 10/5 + 2/5

         = 12/5

now get common denominator to subtract

31/4 - 12/5

155/20 - 48/20 = 107/20

if you want this back into mixed fraction then convert

107/20 = 5 7/20

a shop keeper buys 20 kg of sugar at birr y per kg.he sells 16 kg at birr (y+3/4) per kg and the rest at (y+1) per kg.what is his profit. show the step clearly​

Answers

24 is the answerrr to it

80 - [50 - {20 ÷ 2 – (16 - 2÷ 2) ÷ 3}]

Answers

80 - [50 - {20/2 - (16 - 2/2) ÷ 3}]

80 - [50 - {20/2 - (15) ÷ 3}]

80 - [50 - {10 - 5}]

80 - [50 - {5}]

80 - [45]

35

Answer:35

Step-by-step explanation:

80-[50-(10-5)

80-(50-5)

80-45=35

What do you notice about the area of the base in each prism

Answers

Answer:

The area's are the same

Step-by-step explanation:

Both base's areas are 30.

pls help quick the blue lines at the bottom are the answer choices​

Answers

the answer is the third option

What is 2/3 divided by 6/12? REDUCE ANSWER TO SIMPLEST FORM. please help mark you brainiest!!!

Answers

Answer:

4/3 or 1.34

Step-by-step explanation:

2/3 ÷ 6/12

= 2/3 × 12/6

= 4/3 or 1.34

What is Cos^-1( -sq2/2)? Pleaseee help ASAPOL

Answers

Answer:

s cos^(-1)(-(q^2 s)/2) + sqrt(4 - q^4 s^2)/q^2 + constant

Step-by-step explanation:

Take the integral:

integral cos^(-1)(-(q^2 s)/2) ds

For the integrand cos^(-1)(-(q^2 s)/2), substitute u = -(q^2 s)/2 and du = -q^2/2 ds:

= -2/q^2 integral cos^(-1)(u) du

For the integrand cos^(-1)(u), integrate by parts, integral f dg = f g - integral g df, where  

f = cos^(-1)(u), dg = du, df = -1/sqrt(1 - u^2) du, g = u:

= -(2 u cos^(-1)(u))/q^2 + 2/q^2 integral-u/sqrt(1 - u^2) du

Factor out constants:

= -(2 u cos^(-1)(u))/q^2 - 2/q^2 integral u/sqrt(1 - u^2) du

For the integrand u/sqrt(1 - u^2), substitute p = 1 - u^2 and dp = -2 u du:

= -(2 u cos^(-1)(u))/q^2 + 1/q^2 integral1/sqrt(p) dp

The integral of 1/sqrt(p) is 2 sqrt(p):

= (2 sqrt(p))/q^2 - (2 u cos^(-1)(u))/q^2 + constant

Substitute back for p = 1 - u^2:

= (2 sqrt(1 - u^2))/q^2 - (2 u cos^(-1)(u))/q^2 + constant

Substitute back for u = -(q^2 s)/2:

Answer: = s cos^(-1)(-(q^2 s)/2) + sqrt(4 - q^4 s^2)/q^2 + constant

HELPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

5.5

Step-by-step explanation:

5.5 how is your day going

Find the slope/
please help me
х
y
Rise =
6
-3
Run =
0
1
0 -3
3
3
m =
-6
5

Answers

Use this to answer

Using two of the points on the line, you can find the slope of the line by finding the rise and the run. The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run

9a + 12b + 2a
Help please !

Answers

Answer:

11a+12b

Step-by-step explanation:

9a+12b+2a=11a+12b

9.
The equation a = 640s gives the relationship between s square miles and a acres. Pam owns 7.5 square miles of farmland. How many acres does she own?


4,800 acres

11.72 acres

1.17 acres

480 acres

Answers

[tex]a = 640s[/tex]

[tex]a = 640(7.5)[/tex]

[tex]a = 4800 \: [/tex]

She owns 4800 acres.

Answer:

4,800 acres

Step-by-step explanation:

Wayne is going to send some flowers to his wife. Belmont Florist charges $1 per rose, plus $35 for the vase. Darrell's Flowers, in contrast, charges $2 per rose and $10 for the vase. If Wayne orders the bouquet with a certain number of roses, the cost will be the same with either flower shop. How many roses would there be? What would the total cost be?

Answers

i think it would be a yes

John’s batting average is 0.278. What is his batting average rounded to the nearest ​hundredth​?

Answers

Answer:

0.28 easy

Step-by-step explanation:

Find f(x) and g(x) so that the function can be described as y = f(g(x)).

y = Four divided by x squared. + 9
a) f(x) = x + 9, g(x) = Four divided by x squared.
b)f(x) = x, g(x) = Four divided by x. + 9
c)f(x) = One divided by x., g(x) = Four divided by x. + 9
d)f(x) = Four divided by x squared., g(x) = 9

Answers

the answer is Y/g

y=fgx

y/g=fx,which mines f(x)=y/g

Practice: Describe the similarities and differences between the following
equations.
y = -6x and y = -6x + 3

Answers

The first equation would start at the origin (0,0) where as the 2nd one would start 3 points above it. (0,3)
The 2nd equation will always be 3 points above its 1st equation counterpart

Please hurry
Select all the points that are on the graph of the line
3x + 5y = 20 ?

Answers

Answer:

x=5

y=1

Step-by-step explanation:

3*5=15

5*1=5

15+5=20

simplify the expression -8x + 27/9

Answers

Answer:

-8/9x + 3

Step-by-step explanation:

(-8x + 27)/9

divide 9 on both side

-8/9x + 3

Construct a tangent to circle O at P.


Answers

Answer:

its called perimeter when it is near to dot its called cruve

PLEASE HELP!!
Cody bought two pairs of gloves and four hats for $43. Tori bought two pairs of gloves and two hats for $30. What are the prices for the gloves and hats? Write a system of equations!

Answers

Answer:

2g + 4h = 43

2g + 2h = 30

Step-by-step explanation:

Answer:

pairs of gloves = x

hats = y

2x + 4y = 43

2x + 2y = 30

hats = $6.50

gloves = $8.50

Step-by-step explanation:

use the elimination method to solve this system.

subtract the first equation by the second.

2x + 4y = 43

- 2x + 2y = 30

--------------------

         2y = 13

y = 6.5

plug in the y value to find x

2x + 4 (6.5) = 43

2x + 26 = 43

2x = 17

x = 8.5

The perimeter of a rectangle is 61 centimeters. The length is 4 centimeters longer than the width, w. Which equation can be used to find the width of this rectangle?

A= 2w + 2(w +4) = 61
B= 1/2w + 2 (w+4) =61
C=2w + 1/2 (w +4) =61
D= 1/2 w + 1/2 (w +4) =61

Answers

Answer:

A

Step-by-step explanation:

P=2L+2w

P=61

W=W

Since length is 4cm longer

Therefore length=W+4

General equation=2w+2(w+4)=61

Jaime had $37 in his bank account on Sunday. The table shows his account activity for the next four days. What was the balance in Jaime's account after his deposit on Thursday?

Answers

Answer:C

Step-by-step explanation:

37 +17.42-12.60-9.62+62.29 = 94.49

37+17.42-12.60-9.62+62.29=94.49
C) 94.49
Jamie broke:((

3x+3y=−x+5y what is the ordered pair

Answers

Answer:

2x-y=0

Step-by-step explanation:

Sally has 30 feet of ribbon. She cuts strips each of length 2 2/5 feet from the ribbon. Sally says I can cut 13 of these strips from this ribbon.

Answers

Answer: See explanation

Step-by-step explanation:

For us to know the number of strips that Sally can cut from the ribbon, we have to divide 30 feet by 2 2/5 feet. This will be:

= 30 ÷ 2 2/5

= 30 ÷ 12/5

= 30 × 5/12

= 25/2

= 12 1/2 strips

Therefore, the maximum number of strips that Sally can cut is 12 and not 13.

Students from Williams Middle School are also recycling aluminum cans. The data for the numbers of cans brought in each school day for a month were divided by quartiles and summarized in the box plot. Use the drop-down menus to choose the median, interquartile range, and range.

A box plot. The number line goes from 8 to 30. The whiskers range from 10 to 28, and the box ranges from 16 to 20. A line divides the box at 18.

Median:
Interquartile range:
Range:

Answers

Answer:

Median is: 18

Interquartile range: 4

Range: 18

Step-by-step explanation:

hope this helps!

heyyy! i haven't posted a question in a long time lolz. anyways, i really needed help with this!! if you can answer my question i'll give brainliest, thank you

Answers

2 ones and 8 hundredths

00.00
the first zero is tens, ones, and after the decimal, to the right is the tenths, hundredths and so on

2/3 divided by 5 (i just need to check)

Answers

Answer:

its 0.13

Step-by-step explanation: plz mark brainliest

Answer:

0.1333333

Step-by-step explanation:

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