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

Read more:

https://brainly.com/question/10452031


Related Questions

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]

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

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 !!

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)

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:

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%.

To know more about Rate on:

https://brainly.com/question/16150007

#SPJ2

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

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

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.

please be super quick 3 minutessssss

Answers

Answer:

im pretty sure its B

Step-by-step explanation:

I THINK SOOO AHH

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.

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!

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

solve pls branliest !

Answers

Answer:

72

Step-by-step explanation:

8×3²

=8×9

=72

so it is the answer

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 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


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 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.

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

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:

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

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

Answers

Answer:

it's C. 3/40

Step-by-step explanation:

ghjfrukkbf


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) .............................

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!

fill in the blank (Geometry B)

Answers

Step-by-step explanation:

ratio

to

sind = d/e

sinf = f/e

Please help me with this question❤️ thanks

Answers

Answer:

70

Step-by-step explanation:

that can be 30 ft

Are 3and 9 divisible by 27,621

Answers

Answer:

yes

Step-by-step explanation:

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.

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

Other Questions
What policy was issued by the British government in an effort to avoid conflict between the American colonists and Native Americans after the French and Indian War?A:The Proclamation of 1763B:Th ownshend ActsC:The Quartering ActD:The Monroe Doctrine why is it so important to have grains in your diet? PLS HELP ASAP ILL GIVE BRAINLIEST TYSM who ruled Egypt while the Shang dynasty ruled China? Explain the various zoming laws and codes favored by progressives Advantages and Disadvantages of a public limited company (preferably 3 of each) Ipaliwanag ang dalawang responsibilidad na kakambal ng kalayaan? Brandon enters bike races 8 1/2 miles every 1/2 hour. HELPPPPPP !!!! You are creating your own real-world problem or word problem using Pythagorean Theorem. You create the problem and solve it. Use what you find to help you create your own problem. It does not have to be a really hard problem. Which type of parent function is f(x) =^3cubed xA. Square rootO B. Cube rootO C. ReciprocalD. QuadraticHelp quick!!! The land ordinance of 1785 was at the start of act 1, what do the watchmen and horatio speculate the appearance of the ghost means? Over 99.9% of the solar system is composed of hydrogen and helium. How does this help to explain the size differences between the terrestrial planets and the gas giants? Find the value of K given x=4 and y=16? PLEASE HELP!I have a story idea where a group of maybe 8 year olds or so sneaks out one night to find some sort of artifact> I'm trying to figure out what that should do. Why do they want it? The story is going to start in a small town where everyone knows eachother, and this one group of kids try to go find this thing - I'm thinking the story will be somewhat like the Monkey's paw, with the three wishes, but I don't know. Does anyone have any ideas? This is supposed to be a horror story for class, but it doesnt have to be too scary, and it has to answer the question What are humans most afraid of? HELP PLEASE!!Write a recursive rule for an=1/34^n-1A.) an=1/3an-1B.) an=41/3an-1C.) an=1/34an-1D.) an=4an-1 In DEF, EF = 15, FD = 13, and DE = 4. Which list has the angles of DEF in order from smallest to largest? The perimeter of a rectangle is 84 cm. If the length is 17 cm, how wide is the rectangle?A) First write an equation you can use to answer this question. Use w as your variable in the equationB) Solve your equation in part [A] to find the width of the rectangle.Answer: The rectangle iscm wide.PLS HELP I NEED THIS ASAP Mary send me this letter two days ago Friction can be reduced by using ___________.