The width of a rectangular rug is 4 1/4 inches longer than twice its length. If the perimeter of the rug is 56 1/2 inches, which equation represents this situation?

Answers

Answer 1

The question requires calculating the perimeter of the rectangular r ug

The equation which represent the situation is 113/2 = 6x + 34/4 and length is 8 inches and width is 20 1/4 inches

Given:

let

length of the rectangular r ug = x inches

Width of a rectangular r ug = (2x + 4 1/4) inches

Perimeter of the r ug = 56 1/2 inches

Perimeter of the r ug = 2(length + width)

56 1/2 = 2{x + (2x + 4 1/4)

113/2 = 2(x + 2x + 17/4)

113/2 = 2(3x + 17/4)

113/2 = 6x + 34/4

113/2 - 34/4 = 6x

(226-34) / 4 = 6x

192/4 = 6x

48 = 6x

divide both sides by 6

x = 48/6

x = 8 inches

So,

length of the rectangular r ug = x inches

= 8 inches

Width of a rectangular r ug = (2x + 4 1/4) inches

= 2(8) + 4 1/4

= 16 + 4 1/4

= 20 1/4 inches

Therefore, the equation which represent the situation is 113/2 = 6x + 34/4 and length is 8 inches and width is 20 1/4 inches

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Related Questions

Bea has ¾ of a cake. If it will be divided equally among 4 persons, what part of the cake will each one gets?

Answers

Step-by-step explanation:

(3/4)÷4= 3/16

each will get 3/16 of the cake

is it true that if one of the factors is 0, the product is 1?​

Answers

Answer:

The Principle of Zero Products states that if the product of two numbers is 0, then at least one of the factors is 0. (This is not really new.) If ab = 0, then either a = 0 or b = 0, or both a and b are 0.

hope it helped

Answer:

0

Step-by-step explanation:

What value of x is in the solution set of -5x-15x> 10+20x

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I,save £82 each week. how many weeks will it take me to save £750

what is the value of x when y is 31

Answers

Answer:

16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Direct variation

y = kx

16 = k*8

Divide each side by 8

16/8 = 8k/8

2 = k

The equation is y =2x

y =2x

Let y =32

32 = 2x

Divide by 2

32/2 = x

16 =x

What is the slope of the line that passes through the points 10, six and nine, five? Write your answer in simplest form

Answers

Answer:

y=x-4

Step-by-step explanation:

If you plug in the points into a graph, you can see that the slope is 1.

You can go down one and the left one, eventually you will find the y-intercept at (0,-4)

A laptop has a listed price of $693.95 before tax. If the sales tax rate is 6.5%, find the total cost of the laptop with sales tax included. Round your answer to the nearest cent, as necessary.

Answers

Answer:

45.11

Step-by-step explanation:

693.95 x .065 = 45.11

Mr. Nasser asks four of his students to measure four different objects. Here are the results.

Which student had the greatest percent error?

Answers

Step-by-step explanation:

Answer:

Emiko has the greatest percent error

Step-by-step explanation:

West Company borrowed $48,000 on September 1, Year 1 from the Valley Bank. West agreed to pay interest annually at the rate of 9% per year. The note issued by West carried an 18-month term. Based on this information the amount of interest expense appearing on West's Year 1 income statement would be:

Answers

Answer:

$1,440

Step-by-step explanation:

Given:

Borrowed amount by west company from valley bank = $48,000

Interest is paid annually = 9% per year

Time period = From 1st September to 31st December

                    = 4 months

The note issued by West carried an 18-month term.

Therefore,

Interest expense = Principal amount × Rate × Time period

                            = $48,000 × 9% × (4 ÷ 12)

                            = $48,000 × 0.09 × (1 ÷ 3)

                             = $1,440

Therefore, the amount of interest expense that will be reported on West's income statement for Year 1 is $1,440.

If 200 kids went to the zoo and only 10 came back how many got lost?

Answers

Answer:

200- 10 = 190

so, 190 kids came back..

Step-by-step explanation:

brainliest plz

Answer: 190

Step-by-step explanation:

200-10=190 right? brainiest please

write a Pythagorean triplet with the following numbers as one of the number
a,4 b,8 c,12 d,22 with the formula pls

class 8​

Answers

Answer:

For any natural number m, we know that

2m, \mathrm{m}^{2}-1, \mathrm{m}^{2}+1m

2

−1,m

2

+1 is a Pythagorean triplet.

i. 2m = 6

\begin{array}{l} \Rightarrow \mathrm{m}=\frac{6}{2}=3 \\ \mathrm{m}^{2}-1=3^{2}-1=9-1=8 \\ \mathrm{m}^{2}+1=3^{2}+1=9+1=10 \end{array}

⇒m=

2

6

=3

m

2

−1=3

2

−1=9−1=8

m

2

+1=3

2

+1=9+1=10

∴ (6, 8, 10) is a Pythagorean triplet.

ii. 2m = 14

\begin{array}{l} \Rightarrow \mathrm{m}=\frac{14}{2}=7 \\ \mathrm{m}^{2}-1=7^{2}-1=49-1=48 \\ \mathrm{m}^{2}+1=7^{2}+1=49+1=50 \end{array}

⇒m=

2

14

=7

m

2

−1=7

2

−1=49−1=48

m

2

+1=7

2

+1=49+1=50

∴ (14, 48, 50) is not a Pythagorean triplet.

iii. 2m = 16

\begin{array}{l} \Rightarrow \mathrm{m}=\frac{16}{2}=8 \\ \mathrm{m}^{2}-1=8^{2}-1=64-1=63 \\ \mathrm{m}^{2}+1=8^{2}+1=64+1=65 \end{array}

⇒m=

2

16

=8

m

2

−1=8

2

−1=64−1=63

m

2

+1=8

2

+1=64+1=65

∴ (16, 63, 65) is a Pythagorean triplet.

iv. 2m = 18

\begin{array}{l} \Rightarrow \mathrm{m}=\frac{18}{2}=9 \\ \mathrm{m}^{2-1}=9^{2}-1=81-1=80 \\ \mathrm{m}^{2}+1=9^{2}+1=81+1=82 \end{array}

⇒m=

2

18

=9

m

2−1

=9

2

−1=81−1=80

m

2

+1=9

2

+1=81+1=82

∴ (18, 80, 82) is a Pythagorean triplet

Step-by-step explanation:

For any natural number greater than 1,(2m,m

2

−1,m

2

+1) is Pythagorean triplets.

So, if one number is 2m, then another two numbers will be m

2

−1 and m

2

+1.

Given, one number = 4

Then Pythagorean triplets:

2m=4 or m = 2

So,

m

2

−1=(2)

2

−1=4−1=3

m

2

+1=(2)

2

+1=4+1=5

Now, (3)

2

+(4)

2

=(5)

2

Or 9 + 16 = 25.

I hope you all like this answer.

Mark as a brainlist.

rate my answer guys ❤️








What is the value of the expression 30-(-6)?
-180
-5
Ο Ο Ο Ο
5
24

Answers

Answer:30-(-6) is the same as 30+6. 36 is the value of the expression 30-(-6). If it were written:

30x(-6) = -180

30-6 = 24

But 30-(-6) = 36

Step-by-step explanation:


pls I need help, it's due tomorrow!!​

Answers

Answer:

1)

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Angle 2: 88

Angle 3: 147

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Step-by-step explanation:

1)

Angle on a straight line add up to 180 degrees and angles in a triangle add to 180 degrees

2)

Opposite angles are equal. (4x) and (2x+42) are opposite therefore equal, so

4x=2x+42

Minus 2x from both sides

2x = 42

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Step-by-step explanation:

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If the radius of circle C is double the radius of circle D, what can you say is true to the area of circle C?​

Answers

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Step-by-step explanation:

If the radius of a circle is doubled, the area of the circle will be quadrupled and the circumference will also be doubled. This makes sense because the area of a circle is directly proportional to the square of the radius of the circle (if the radius of a circle is increased x times, its area will be increased to x^2 times the original area), whereas the circumference is proportional to the size of the radius (if the radius of a circle is increased x times, its circumference will increase x times).

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

1728829+5363792002×82873992892/12=?​

Answers

Answer:

Simplify the expression.

Exact Form:

111129715061983798933/3

Decimal Form:

3.70432383⋅10^19

Step-by-step explanation:

Answer:

exact form is 111129715061983798933/3

decimal form 3.70432383*10^19

Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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m + 15 =80

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Answers

Answer:

Length = 11m and the Breath = 4m

Step-by-step explanation:

L = 3B - 4

p = 32m

2( L + B ) = 32

L + B = 32/2

L + B = 16

(3B - 4) + B = 16

3B - 4 + B = 16

4B - 4 = 16

4B = 16 + 4

4B = 20

B = 20/4 = 5m

B = 5m

L = 3B - 4

L = 3(5) - 4

L = 15 - 4

L = 11m

please brainliest

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Answers

you can do it, your our future engineer or doctor

Step-by-step explanation:

HOPE IT CAN HELP ;))

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Answers

Answer:

(2/4) and (5,1) negative slope

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Step-by-step explanation:

took the assignment a while back <3 not sure if those are the ones that were provided in ur edge tho because there was no picture provided on this question

Simplify ( 2+ 6) /4 + 12•3+1 ?

Answers

Answer:

39

Step-by-step explanation:

That is the correct answer

Answer:

39

Step-by-step explanation:

2+6 is 8, 8 divided by 4 is 2. You're equation now is 2+12 x 3+1 Then you do the multiplication first because of PEMDAS, so now the equation is 2+36+1, adding all of those together is 39 :)

Find the missing angle measure
S=
Z=
(Please help I will give you brainliest!)

Answers

Answer:

s=42 , z=34 ,x=55

Step-by-step explanation:

48+90+s=180 [Sum of angles of a triangle]

s=42

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z=34

Number 5,

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Unknown angle=55

x=Unknown angle [Vertically opposite angles]

x=55

I need to know what the exact and estimated sum is

Answers

Answer:

Exact: 55.899

Estimate: 56

Step-by-step explanation:

8.176 + 5.802 + 41.921 = 55.899

8.176 ~ 8

5.802 ~ 6

41.921 ~ 42

8 + 6 + 42 = 56

inver laplace

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Answer:

              s

_______________

ls^4 + 32ls^2 + 256l

Step-by-step explanation:

I used an algebra calculator called MathPapa to solve your equation.

Also, welcome to brainly!

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Answer:

alternate angles are equal

Step-by-step explanation:

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