The length of a rectangular room is 8 feet more than twice the width. If takes perimeter of the room is 124 feet, what are its dimensions?

Answers

Answer 1

Hey there! I'm happy to help!

Let's call the length and width L and W respectively.

L=2W+8

2W+2L=124

We plug our value of L into the second equation and solve for W.

2W+2(2W+8)=124

We undo the parentheses with the distributive property.

2W+4W+16=124

Combine like terms.

6W+16=124

Subtract 16 from both sides.

6W=108

Divide both sides by 6.

W=18

We plug this W value into the first equation to solve for L.

L=2(18)+8

L=36+8

L=44

So, the length is 44 feet and the width is 18 feet.

Have a wonderful day! :D


Related Questions

547 and 14 and 7658 - 7000 = 658 - blank = 98 -98 = 0 what is the answer

Answers

Solution :

7658 - 7000 = 658 - blank

658 = 658

So here, blank is 0.

547 - 7000 = 658 - blank

-7111 = 658 - blank

Blank = 7769

14 - 7000 = 658 - blank

- 6986 = 658 - blank

Blank = 7644

Evaluate Y - R for R= -2 and Y= -7

Answers

Answer:

5

Step-by-step explanation:

-2 - (-7)

you have to do the opposite of the sign and switch the last number from neg to pos

Which of these is a unit rate? A $25 per 5 hours B 10 kilometers per minute C 35 miles per 4 gallons D 75 yards per 25 dollars

Answers

Answer:

B. 10 km. per minute

Step-by-step explanation:

A unit rate is a ratio that is over 1. 10 km. per minute is describing how many km. in one minute. A unit rate can then be used to predict ratios further in a sequence by multiplying the minutes with the 10 km.

Hope that helps!

Answer:

b

Step-by-step explanation:

Jasmine was observing her farm from a hot air ballon when she accidently dropped her telescope. As always on earth the formula to find the distance has fallen , d, after t seconds, is the triangle D= 16t^2. How far has the telescope fallen after 1 second. First person to answer gets brainliest

Answers

Answer:

256

Step-by-step explanation:

all you had to do was plug (t=1) in t in the equation

so

16(1)^2=256

Answer:400 ft

Step-by-step explanation:

Kayla is going to Japan for vacation. She will exchange $300 for Japanese yen. The exchange rate is $1=85.74 yen. How many yen will Kayla receive?

Answers

Answer:

25,722 yen

Step-by-step explanation:

300x85.74 is the simplest way to do this and I am just adding words to compete this

Answer:

85.74 x 300 $ = 25722 Yem

walmart sells the bike he likes for 350 dollars Walmart had the bike on sell for 30% off what is the cost of the bike at Walmart

Answers

Answer:

$245

Step-by-step explanation:

350× 0.30 = 105 dollars off

350-105 = 245

Answer:

245

Step-by-step explanation:

350/10=35

35=10%

35x3=105

105=30%

350-105=245

The graph of y = f(x) is shown below. What are all of the real solutions of f(x)
= 0?

Answers

Answer:

x = -8, 0 and 6

Step-by-step explanation:

Graphed function in the picture,

y = f(x)

Solutions of a function are defined by the points on x-axis where the graph intersects or touches.

In the given graph, curve of the function touches the x-axis at x = -8 and crosses the x-axis at x = 0, 6

Therefore, real solutions of the function 'f' will be x = -8, 0 and 6.

Cole ordered football equipment containing 20 items that cost $477. The equipment
included footballs and gloves. If the footballs, f, cost $27 and the gloves, g, cost $18,
which of the following systems of equations can be used to determine the number
footballs and gloves Cole ordered?

Answers

Answer:

wow to hard dis might take a while

what is the sum of the equation? 15x-5x+5y+5y

Answers

Hey there!

ANSWER: [tex]10x+10y[/tex]EXPLANATION:

[tex]15x-5x+5y+5y[/tex]

To solve, first subtract the 2 numbers with x.

[tex]15x-5x=10x[/tex]

Now let's add the two numbers y.

[tex]5y+5y=10y[/tex]

So the answer will be 10x + 10y because 15x-5x is equal to 10x and 5y + 5y is equal to 10y. And then you just add the x and y.

[tex]10x+10y[/tex]

Hope this helps!

[tex]-TestedHyperr[/tex]

Answer:

10x+10y

Step-by-step explanation:

15x-5x= 10x

5y+5y= 10y

10x+10y

HURRY AND ANSWER

Explain how you can tell if the expressions 7x – 4 and 6x – 4 – x are equivalent using the interactive tool.

Answers

Answer i think it is 0.7 but i do not know

Answer:

0.7 but i do not know :)

Step-by-step explanation:

If y= 55 when x = 120 what is the value of y when x = 60 ?

Answers

Answer:

equation calculator help u out

Answer:

y = 27.5

Step-by-step explanation:

120 (x) - 55 (y) = 65

65 / 2 = 32.5

60 - 32.5 = 27.5

x = 60 and y = 27.5

I really hope this helps...

PLEASE HELP ITZ URGENTOO!!!!
what is the solution set to the following system of inequalities:
-7x+2y>6
4x+7y≤-7
WHAT IS THE SOLUTION SET THAT FALLS INTO THE FEASIBLE REGION!?
PLS HELPP

Answers

Answer: The solution set of the system of inequalities is the region above the dashed line (y=-2x-2) and below the solid line (y=x+4).

Please, see the attached graph.

Thanks.

An airline records data on several variables for each of its flights, model of plane, amount of fuel used, time in flight,
number of passengers, and whether the flight arrived on time. The number and type of variables recorded are
1 categorical, 4 quantitative (1 discrete, 3 continuous)
O 3 categorical, 2 quantitative (1 discrete, 1 continuous)
O 1 categorical, 4 quantitative (2 discrete, 2 continuous)
2 categorical, 3 quantitative (1 discrete, 2 continuous)
O 2 categorical, 3 quantitative (2 discrete, 1 continuous)

Answers

Answer:

The correct option is;

2 categorical, 3 quantitative (1 discrete, 2 continuous)

Step-by-step explanation:

A categorical variable which is otherwise known as a nominal variable is one which can be qualified as belonging to one class or category of objects or the other, depending on its attributes, and not based on order of the classes.

Therefore;

1) The model of the plane, and 2) whether the flight arrived on time, are categorical variable

A quantitative variable is a variable that indicates measurement and therefore, indicates the numerical magnitude of a measurement.

Therefore;

1) Amount of fuel used, 2) Time in flight, 3) The number of passengers are quantitative variables

Quantitative variables can be either discrete or continuous

A discrete quantitative variable is one that has a finite number of possible values or which may have an infinite but countable number of values

Therefore;

1) The number of passengers which is countable and exact is a discrete quantitative variable

A continuous variable is one whose exact or accurate value range is infinite or a variable with a limitless value set such as the range of values between two real numbers

Therefore;

1) Amount of fuel used and 2) Time of flight are continuous quantitative variables.

UV has endpoints at U(8, 2) and V(8,0). Find the midpoint M of UV.
Write the coordinates as decimals or integers.

Answers

The midpoint here which is = to M is (8, 1). Hope this helps

It cost Hudson $28.20 to send 188 text messages. How much would it cost to send 63 text messages? Good luck!

Answers

Answer:

$9.45

Step-by-step explanation:

1.  First, you want to figure out how much one text message costs.  To do this, divide the dollar amount (28.20) by the number of text messages (188).  You get 0.15, or $0.15 per text message.

2. Using this $0.15 per text message, you can calculate how much 63 text messages costs.  You simply multiply $0.15 by 63 to get $9.45, which is your answer.

Hope this helps! :)

-8(7x+8)=-8x+34 i need help solving this equation .

Answers

Answer:

x = -49/24

Step-by-step explanation:

The first step in solving this equation is to use the distributive property to eliminate the parentheses on the left side of the equation.

-8(7x+8) = -8x + 34

-56x - 64 = -8x + 34

Next, we should add 8x to both sides of the equation.

-48x - 64 = 34

Next, we can add 64 to both sides of the equation.

-48x = 98

Finally, we can divide both sides of the equation by -48 to get the variable x alone on the left side of the equation.

x = -98/48 = -49/24

Therefore, the correct answer is -49/24.

Hope this helps!

y-3x=13 solve for y​

Answers

Answer:

Y=13+3x

Step-by-step explanation:

You add 3x to both sides and get

y= 3x+13

what is Z 2(2z -4)=4

Answers

Answer:

z=3

Step-by-step explanation:

2(2z -4)=4

Divide by 2

2/2(2z -4)=4/2

2z-4 = 2

Add 4 to each side

2z-4+4 = 2+4

2z = 6

Divide by 2

2z/2 = 6/2

z=3

Reduce to the simplest form. -9/6 + (-3/5)

Answers

Answer:

[tex]-\frac{21}{10}[/tex] or [tex]-2.1[/tex] (they're the same)

Step-by-step explanation:

Simplify: [tex]-\frac{9}{6} + (-\frac{3}{5}) = -\frac{9}{6} - \frac{3}{5}[/tex]  Find a common denominator. The LCM of 6 and 5 is 30, so multiply the numerator and the denominator by the same thing: 6 × 5 = 30, -9 × 5 = -45, 5 × 6 = 30, 3 × 6 = 18Write the new fractions: [tex]-\frac{45}{30} - \frac{18}{30}[/tex]  Subtract: -45/30 - 18/30 = [tex]-\frac{63}{30} = -\frac{21}{10}[/tex]

I hope this helps!

Answer: -21/10

Step-by-step explanation: khan

8a to the power of 6 times a to the power of 4 over 4a to the power of -3

Answers

Answer:

(8a)⁻¹⁸

1 / (8a)¹⁸

Step-by-step explanation:

(((8a)^6a)^4/4a))^-3

((8a)^6a*4/4a)^-3

((8a)^6)^-3

(8a)^6*(-3)

(8a)⁻¹⁸

1 / (8a)¹⁸

-5k+ + 20 = -2(k-4)

Answers

Answer:

k = 4

Step-by-step explanation:

Which revision changes the sentence from passive voice to active voice?
The new art gallery in our city was visited by several politicians and celebrities to raise money for charity.
OA. Visited by several politicians and celebrities, our city's new art gallery raised money for charity.
OB. The new art gallery in our city raised money for charity by the visits of several politicians and celebrities.
OC. To raise money for charity, the new art gallery in our city was visited by several politicians and celebrities.
OD. Several politicians and celebrities visited the new art gallery in our city to raise money for charity.

Answers

Answer:

They all have the passive word, "Visited," so that makes everything a bit more complicated. I can see why you asked the question. I'd go with C. Unless it's a trick question and you're supposed to see that or something.

Angie claims that the statement "irrational numbers are real numbers" is NEVER true. Is Angie correct? If yes, explain why. If no, provide a counterexample.

Answers

Answer:

Angie is incorrect

Step-by-step explanation:

Real numbers are basically all numbers, even uncountable ones, which are irrational numbers.

show work please help

Answers

multiply both sides of the equation by 5
x-10=-30
move constant to the right-hand side and change its sign
x=-30+10
add them
x=-20

The following value is closest to what number? 292

Answers

Your round it to 300 so the answer is 300

What are the factors of
x2- 100

(x - 50)

(x + 50)

(x - 10)

(x + 10)

(x - 102)

(x - 25)

(x + 4)​

Answers

Answer:

B

Step-by-step explanation:

thats what someone told me

7 less than three times Heather's
age is 14. Write an equation and
solve to find Heather's age.

Answers

3x-7=14

3x=14+7

3x=21

divide 3x by 3

Divide 21 by 3

x=7
3*Heather’s age-7=14

3*Heather’s age = 14+7

3H=21

H=7

Heather is 7 years old


Sorry I also need help with this question

Answers

Answer: B

Step-by-step explanation:

(f/g) means to divide f(x) by g(x).

[tex](f/g)(x)=\frac{3x+2}{3x-5}[/tex]

To find the domain, you set the domain equal to zero and solve for x.

3x-5=0                   [add both sides by 5]

3x=5                       [divide both sides by 3]

x=5/3

Now, we know that B is the correct answer.

I need help on number 2 , 3 and 4

Answers

3. 0
4. 5/3, positive
I can’t see the instructions for 2

Use the information to answer questions 8 and 9.

Selena was given the expression 36 + 54.

What is the greatest common factor of 36 and 54? Show your work or explain how you identified the GCF.

Answers

Answer:

18

Step-by-step explanation:

the factors and prime factorization of 36 and 54. The biggest common factor number is the GCF number. So the greatest common factor 36 and 54 is 18.

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