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

solve pls branliest !

Answers

Answer:

72

Step-by-step explanation:

8×3²

=8×9

=72

so it is the answer


If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?

-5 -5
-3 -5
-5 -3
-3 3

Answers

Answer:

(-3,-5) .............................

2
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
The numbers 7. 11, 12, 13, 14, 18, 21, 23, 27 and 29 are written on separate cards, and the cards are placed on a table with the numbers facing
down.
The probability of picking a card with an even number is?

Answers

Answer:

Answer=3/10

Step-by-step explanation:

even numbers=3

total cards=10

P=number of possible outcomes/total outcomes

=3/10

Answer:

you have a 3/10 probability of geting a even number bc

Step-by-step explanation:

there are ten numbers shown in the question and there are three even numbers out of ten so that is how you get you anewer

How are different types of linear equations similar and how are they different

Answers

Answer:

The graph of linear inequalities include a dashed line if they are greater than or less than but not equal to. Linear equations, on the other hand, include a solid line in every situation. Moreover, linear inequalities include shaded regions whereas linear equations do not.

Step-by-step explanation:

Are 3and 9 divisible by 27,621

Answers

Answer:

yes

Step-by-step explanation:

What is the solution to the system of equations grahped below

Answers

Because the the two lines cross (1,4), that is the solution. D is correct!

What is the dependent quantity?
A) types of food I eat
B) not enough information
C) cholesterol levels

Answers

Answer?: I believe its C

No Explanation Because No

Answer: C is the answer

Step-by-step explanation:

please be super quick 3 minutessssss

Answers

Answer:

im pretty sure its B

Step-by-step explanation:

I THINK SOOO AHH

Find the missing lengths of the sides.

Answers

Answer:

I would go with 3rd option

I used Pythagorean Theorem and my answer is that

a=3sqrt3

b=3

Step-by-step explanation:

Not sure why it's backwards I checked and rechecked, so let me know.

simplify:
[tex]x ^{4} - {x}^{2} {y}^{2} + {y}^{4} [/tex]
x4-x2y2+y4​

Answers

Answer:

[tex] {x}^{4} - {x}^{2} {y}^{2} + {y}^{4} \\ {x}^{4} + {y}^{4} - {(xy)}^{2} [/tex]


Sean has a collection of combs. Each comb is worth $1.29. There are 15 total combs.
What is the total value of his collection?

Answers

Answer:

1.29 x 15 = $19.35

The total value of Sean's collection is $19.35

**hope this helps

Step-by-step explanation:

Find the area of the parallelogram.

Answers

Answer:

894

Step-by-step explanation:

Cho tam giác ABC có diện tích= 105cm vuông. Trung tuyến AM và BN cắt nhau tại G.
a)Tính diện tích tam giác AMC và diện tích tam giác MnC
b)Tính diện tích tam giác ABG

Answers

Answer:

english pls.

Step-by-step explanation:

showing wrong transalation in transalate

what is the purpose of using measures of variability?

Answers

Variability describes how far apart data points lie from each other and from the center of distribution. Along with measures of central tendency, measure of variability give you descriptive statistics that summarize your data. Variability is also referred to as spread, scatter or dispersion.


Answer: it gives you descriptive statistics that summarize your data.

I NEED HELP WITH THIS ASAP

Answers

Answer:

4

Step-by-step explanation:

( 5x - 6 ) and ( 3x + 2 ) are alternate interior angles.

Alternate interior angles are equal,

So,

5x - 6 = 3x + 2

5x - 3x = 2 + 6

2x = 8

x = 8 / 2

x = 4

4, i hope this helps !!

solve the system x-y=5 and 4x-5y+17

Answers

Answer:

Step-by-step explanation:

x = 3

7=2

3-2=5

slope is 4/5

fill in the blank (Geometry B)

Answers

Step-by-step explanation:

ratio

to

sind = d/e

sinf = f/e

Help as soon as possible please if the answer is correct I’ll give brainliest

Answers

Answer:

The slope is 4, while the y intercept is 2

...starting with 2 cards and adding 4 cards each week

Step-by-step explanation:

The slope is always the coefficient (the number in front) of x.

The y intercept is the number on its own.

Hope this helps!

TIME REMAININO
58:40
Which graph could represent a constant balance in a bank account over time?
Daily Balance
Daily Balance
Daily Balance
de
10
$
1378
Time (day)
1 2 3 4 5
Time day)
O
Daily Balance
35
Save and Exit
NE
Suband
Mark this and return

Answers

Dalit balance
Thanks hope you have a good day

The center of the circle whose equation is (x + 2)² + (y - 3)² = 25 is

Answers

Answer:

The center of the circle is at: C=(−2,3).

The radius of the circle is r=5.

Step-by-step explanation:

A circle with center at (h,k) and a radius of r has equation (x−h)2+(y−k)2=r2.

In this example our circle equation can be written as:

(x−(−2))2+(y−3)2=(5)2

So, we have: h=−2 , k=3 and r=5.

Please help!

It’s Geometry!!



***WILL MARK BRAINLIST!!!!

Answers

Answer:

3) the coordinate for angle S is (-1, 10)

4) the coordinate for angle B is (-8, -8)

Step-by-step explanation:

I grab a paper and drew on it. Rotated from the origin at a counter clockwise motion. That's all. (Sorry not very explicit)

If AB= 4 units and DC=4 units , what is the length of BC​

Answers

Answer:

sqrt(2)

Step-by-step explanation:

bd=ab/2=2

=> bc=qrt(bd^2+dc^2)=sqrt(4+16)=2sqrt(5)

Please help me with this question❤️ thanks

Answers

Answer:

70

Step-by-step explanation:

that can be 30 ft

If x varies directly as y,and x=18x=18when y=3.6,what is x when y=12

Answers

Answer:

x = 60

Step-by-step explanation:

Write an equation using the ratio between x and y:

18/3.6 = x/12 Multiply both sides by 12:

216/3.6 = x

60 = x

Original remains fossils have been protected from decay by amber, permafrost, oil, and _____.

sediment
wood
weather
coal

Answers

Answer:As I know the answer is coal

Step-by-step explanation:

Please votes me 5 stars,1 hearts and mark as Brainliest for me .Thanks

Question 18
Calculate the mean 12, 2, 9,

12, 10

Answers

Answer:

Mean = 9

Step-by-step explanation:

The mean is the average of a data set.  Given the values, 2, 9, 10, 12, 12:

Add all the numbers in the data set, and divide its sum by the number of items in the set:

Mean = [tex]\frac{2+9+10+12+12}{5}[/tex] =  [tex]\frac{45}{5}[/tex] = 9

Therefore, the mean of the given data set is 9.

Human population numbers are in constant flux. Suppose a country has a population of 20 million people at the start of one year and during the year there are 600,000 births, 350,000 deaths, 100,000 immigrants, and 5,000 emigrants. You and your classmates will determine the total population at the end of the year and then model expected change over a longer period.

Answers

According to the question given,

[tex]\sf\longmapsto \: emigrants=-5000[/tex]

[tex]\sf\longmapsto \: Immigrants = 100000[/tex]

[tex]\sf\longmapsto \: Death -350000[/tex]

[tex] \sf \longmapsto \: Birth=600000[/tex]

Now let's solve out and get the result!

The change of population:

[tex] \sf \longmapsto600000-350000 + 100000 - 5000=350000[/tex]

The total population at the end of the year:

[tex]\sf\longmapsto \:2000000 + 350000 [/tex]

[tex]\sf\dashrightarrow2350000[/tex]

Hence the total population at the end of the year is 2350000.

At the end of the year, the population will be 20,345,000.

The rate of change in population is 1.75%.

What is rate?

Rate is a measurement to determine the change in one quantity with respect to another quantity.

The given information are,

Total population of the country initially = 20,000,000

Total number of births during the year = 600,000

Total number of deaths during the year = 350,000

Number of immigrants = 100,000

And number of emigrants = 5,000

The population at the end of the year

= 20,000,000 + 600,000 - 350,000 + 100,000 - 5,000

= 20,345,000

At the end of the year the population will be 20,345,000.

The increase in population  = 20,345,000 - 20,000,000

                                              = 345,000

the rate of increasing = 345000/20000000)x100  = 1.75%

The rate of change per year is 1.75%.

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#SPJ2

Simplify the following:

[tex]\sqrt{50} x^{2} y^{3}[/tex]

Answers

Answer:

5xy[tex]\sqrt{2y}[/tex]

Step-by-step explanation:

Answer: simplify

5√2x² y²

A.4/10
B.1/20
C.3/40
D.2/20

Answers

Answer:

it's C. 3/40

Step-by-step explanation:

ghjfrukkbf

Ed bought cupcakes for his sister's birthday party.42 cupcakes had sprinkles on top. The other 33 cupcakes did not have sprinkles. What percentage of the cupcakes had sprinkles?

Answers

Answer:50000000000000000000000000000000000000000000000000000

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