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

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

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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)

Dan received these tips in a given week. How much were his total tips.?

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Step-by-step explanation:

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[tex] {l}^{ - 1} ( \frac{s}{( {s}^{2} + 16)^{2} } ) [/tex]

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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.

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Answer:

alternate angles are equal

Step-by-step explanation:

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

Which student had the greatest percent error?

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Answer:

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I need to know what the exact and estimated sum is

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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

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:

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each will get 3/16 of the cake


pls I need help, it's due tomorrow!!​

Answers

Answer:

1)

Angle 1: 59

Angle 2: 88

Angle 3: 147

2)x =21

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

Find 1x by dividing 42 by 2, therefore

X=21

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 ❤️

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Answer:

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Answers

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Step-by-step explanation:

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x=Unknown angle [Vertically opposite angles]

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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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

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The equation is y =2x

y =2x

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32 = 2x

Divide by 2

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-5
Ο Ο Ο Ο
5
24

Answers

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30x(-6) = -180

30-6 = 24

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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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Step-by-step explanation:

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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,

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

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

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Answer:

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Exact Form:

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Decimal Form:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Answers

Answer:

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Step-by-step explanation:

L = 3B - 4

p = 32m

2( L + B ) = 32

L + B = 32/2

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(3B - 4) + B = 16

3B - 4 + B = 16

4B - 4 = 16

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4B = 20

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L = 3B - 4

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L = 15 - 4

L = 11m

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