The area of a rectangular living room is 264 square feet. The length of the room is 2 feet less than twice the width.
What is the width of the living room in feet?

Answers

Answer 1

9514 1404 393

Answer:

  12 ft

Step-by-step explanation:

Let the width of the room be represented by w. Then the length is (2w-2), and the area is ...

  A = LW

  264 = (2w-2)w

  132 = w² -w . . . . . . . divide by 2, eliminate parentheses

  132.25 = w² -w +.25 . . . . . add (-1/2)² to complete the square

  √132.25 = w -0.5 . . . . . take the square root

  0.5 +11.5 = w = 12 . . . . . add 0.5; use the positive root

The width of the living room is 12 feet.


Related Questions

Find the measure. m∠GDF

Answers

Answer:

∠GDF = 26°

Step-by-step explanation:

6y + 2 = 7y - 2

subtract 6y from each side of the equation:

2 = y - 2

add 2 to each side:

y = 4

6(4) + 2 = 26°

Please help will give brainliest

Answers

Answer:

A+B=180°(linear pair)

a+ 52°=180°

a=180°-52°

a=128° is your answer

Which of these forms a perfect square: Select all expressions that are prefect squares. Group of answer choices (a+3)(3+a) (a+b)(b+a) (2x-1)(2x+1) (x+5)(x+5) (-9+c)(c-9) (y-10)(10-y) (4-3x)(3-4x)

Answers

Answer:

Step-by-step explanation:

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

\frac{sb}{cs} = \frac{ra}{cr} ← substitute values

\frac{4x+1}{2x} = \frac{13.5}{6} ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2

Who ever answers it gets Brainly

Which of the following equation represents a linear function

Answers

Answer: it is c

Step-by-step explanation:

the thee answer iis: C

WHAT IS 3/20 IN DECIMAL AND PERCENTAGE

Answers

0.15 or 15%. .........

A car journey is in two stages Stage1 the car travels 110 miles in 2 hours Stage 2 the car travels 44 miles at the same average speed as stage 1 Work out the time for stage 2 Give you answer in minutes.

Answers

9514 1404 393

Answer:

  48 minutes

Step-by-step explanation:

The average speed for stage 1 is ...

  speed = distance/time = (110 mi)/(2 h) = 55 mi/h

Then the time for stage 2 is ...

  time = distance/speed = (44 mi)/(55 mi/h) = (4/5 h)(60 min/h) = 48 min

The time for stage 2 is 48 minutes.

Answer:

Solution :-

We know that

SpeeD = Distance/Time

Speed = 110/2

Speed = 55 mi/hr

For, 2

Speed = 44/55

Speed = 4/5

Speed = 48 min

[tex] \\ [/tex]

Nicole received the following scores on her last 10 math assignments.

Answers

Answer: 89

Step-by-step explanation:

right on edge

Finnhas$60inasavingsaccount.Theinterestrateis10%peryearandisnotcompounded.Howmuchinterestwillheearnin1year?

Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer:

I = $ 6.00

Step-by-step explanation:

Equation:

I = Prt

Calculation:

First, converting R percent to r a decimal

r = R/100 = 10%/100 = 0.1 per year,

then, solving our equation

I = 60 × 0.1 × 1 = 6

I = $ 6.00

The simple interest accumulated

on a principal of $ 60.00

at a rate of 10% per year

for 1 years is $ 6.00.

Amy needs to estimate how many students at her school like online testing. She needs to create a random sample of students. How should Amy collect her sample? Select two that apply.
O Amy should ask every 10th person leaving the school at the end of the day.
O Amy should ask 3 people at every table in the cafeteria
O Amy should ask her 10 closest friends.
O Amy should ask the 35 students in her honors math class
O Amy should ask the 50 students in the computer club.​

Answers

Answer:
The answer should be the second one and 4th

https://studio.code.org/projects/flappy/cYGc2S_X9-cgWtBUmJ5BJta5xku7iqyon0wzrKhC-Do

Answers

Answer:

so fun and amazing!

Step-by-step explanation:

Three percent of the students at Midwood High School are left-handed. There are 700 students at Midwood High School. How many students at Midwood High School are left-handed?
A.21 students
B.210 students
C.140 students
D.12 students

Answers

Answer:

21 students because 3% = 0.03 . When you multiply 0.03 by 700, you get 21.

Answer:

[tex] \frac{3}{100} \times 700[/tex][tex]3 \times 7[/tex][tex]21[/tex]

there are total 21 left handed students in the school.

ok soo ima need help !! {re-posting this one}


question-
Select all of the ratios that are equivalent to 6:16.
2:8
3:8
12/18
30/80
18 to 48

Answers

Answer:

3:8

30/80

18 to 48

Step-by-step explanation:

3:8 (6 and 16 divided by 2)

30/80 (6 and 16 times 5)

18 to 48 (6 and 16 times 3)

Paisley is going to invest $28,000 and leave it in an account for 14 years. Assuming the interest is compounded monthly, what interest rate, to the nearest tenth of a percent, would be required in order for Paisley to end up with $74,000?

Answers

Answer:

r=7

Step-by-step explanation:

74000=28000(1+r/12)^12(14)

divide 74000 by 28000, and cancel out 28000.

1.00580=1+r/12

(100) .06962=r

r = 6.96198

the 6 after the 9 rounds 9 to 0, which rounds the 6 to 7

r=7

Directions: Tables, graphs (use grid points!), and stories are provided. For each case:
1. Find the slope
2. Find the y-intercept
3. Write an equation
4. Explain how you know the slope and y-intercept are correct. Check 2 points in your equation to show it is correct.
Linear Function Representation- Equation - Slope - Intercept

x y
0 4
2 9
4 14
6 19
8 24

Answers

Answer:

See explanations below

Step-by-step explanation:

Using the coordinate points in the table (0, 4) and (2, 9)

Slope m = y2-y1/x2-x1

m = 9-4/2-0

m = 5/2

slope = 5/2

Get the y-intercept

Substitute m = 5/2 and (0,4) into y = mx+c

4 = 5/2(0) + c

4 = 0+c

c = 4

y-intercept is 4

Get the equation

Recall that y = mx+c

y = 5/2x + 4

Using another 2 points (2,9) and (4, 14)

Slope = 14-9/4-2

Slope = 5/2

Since the slope is the same for the coordinates, hence the the equation is correct

Need the answer for x and y

Answers

Answer:

How many molecules of water are there in 10 lbs of water?

Step-by-step explanation:

Answer:

x = 15

AC = 95

Step-by-step explanation:

6x + 5 = 8x - 25

combine like terms:

2x = 30

x = 15

AC = 95

X^3 - 5x^2 + 2x + 8 = 0; x - 2 factor and find all roots

Answers

Answer:

The zeroes are -1, 2, and 4. Factored: (x+1)(x-4)(x-2)=0

Step-by-step explanation:

) Cars are parked in line as they come off the assembly lines. There are three models: red cars which take up 2 spaces, blue cars which also take up 2 spaces, and green cars which take up only 1 space. Let an be the number of ways of filling the first n parking spaces with red, blue and green cars.

Answers

Answer:

Hello your question has some missing information below is the complete question

answer :

[tex]a_{n} = a_{n-2} + a_{n-2} + a_{n-1}[/tex]

Step-by-step explanation:

Red car and Blue car take up 2 spaces each

Green cars take up 1 space

lets determine the number of ways of filling up the parking spaces

i) First lets assume the last space is filled by Green car then there will be [tex]n^{th}[/tex] space occupied hence there will be ( n - 1 ) spaces left to be filled in [tex]a_{n-1}[/tex] ways

ii) lets assume the last space is filled by either a Red car or a Blue car then there will be [tex]n^{th} + ( n -1 )^{st}[/tex]  parking space occupied hence there will be

( n - 2 ) spaces left to be filled in [tex]a_{n-2}[/tex] ways

Hence A closed formula for [tex]a_{n}[/tex]

[tex]a_{n} = a_{n-2} + a_{n-2} + a_{n-1}[/tex]

where : a1 = 1 way ,  a2 = 3 ways

I need some help!! I wil try to give brainliest!!!

Answers

C Bill drove at a rate that was 10 mph faster than the rate Kevin drove

1. Which of the following is not a true statement?

Group of answer choices

Angle 1 and Angle 3 are supplementary angles.

Angle 2 and Angle 7 are congruent

Angle 5 and Angle 8 are congruent.​

Angle 3 and Angle 7 are supplementary angles.

Answers

[tex]\bf{Hello!}[/tex]

Angle 3 and Angle 7 are supplementary is the wrong statement

Because, they are corresponding angles and they are equal.

А Campus athletics is interested in the proportion of registered students living on campus who play basketball recreationally during the semester. They take a random sample of 198 registered students listed as living in campus housing and ask each whether or not they do so. A 95% confidence interval is correctly calculated from this data as (0.12, 0.18). Which of the following is the correct interpretation of this confidence interval ?
a. None of these are correct.
b. We are 95% confident that the proportion of the 198 sampled students that actually play basketball is between 0.12 and 0.18
c. We are 95% confident that, among the population of students that play basketball recreationally, the proportion who live on campus is between 0.12 and 0.18.
d. The sample proportion of on-campus students that play basketball will be between 0.12 and 0.18 in 95% of samples of size 198

Answers

Answer:

c. We are 95% confident that, among the population of students that play basketball recreationally, the proportion who live on campus is between 0.12 and 0.18.

Step-by-step explanation:

According to the question, it is mentioned that there is 95% confidence interval and it is calculated (0.12,0.18)

So the correct interpretation is that they are 95% confident that the students who play basketballs the proportion should lies between 0.12 and 0.12

So, the option C is correct

The rest of the options are wrong

log 3x^2y fully expanded

Answers

Answer:

6xy

Step-by-step explanation:

Find the value of x

Answers

B

as a traingle is 180 degrees

2x+72=180
2x=180-72
2x=108
x=108/2
x=54 degrees

can you help me with this​

Answers

Answer:

x = 18

Step-by-step explanation:

Sum of exterior angles of any polygon = 360

2x + 2x + 3x + 4x + 4x + 5x = 360

20x = 360    {Divide both sides by 20}

x = 360/20

x = 18

15 is 9 more than j.
As an equation.

Answers

15= j + 9 is the equation

a triathlon event in which participants run,bike, and swim certain distances is mapped out in a triangle as shown below.

Answers

Answer:

A

Step-by-step explanation:

The statement 'the bike distance is greater than the run distance.' must be true.

The correct answer is option D.

What is distance?

"It is the length of the line joining the two points."

Angle properties:

In any triangle,

the smallest side and smallest angle are opposite one another. the mid-sized side and mid-sized angle are opposite one another.the largest side and largest angle are opposite one another.

For given example,

We have given two angles of triangle.

65° and 57°

We know, the sum of all angles of triangle is 180°.

Let 'x' be the remaining angle.

⇒ x + 65° + 57 = 180°

⇒ x +122° = 180°

⇒ x = 58°

We know,

In any triangle,

- the smallest side and smallest angle are opposite one another.

- the mid-sized side and mid-sized angle are opposite one another.

- the largest side and largest angle are opposite one another.

Here,

57° < 58° < 65°

⇒ Run < Bike < Swim

This means, the statement 'the bike distance is greater than the run distance.' is correct.

The correct answer is option D.

Learn more about angle here:

https://brainly.com/question/8729556

#SPJ2

Simplify: (3^5)^2 / 3^-2


A) 3^10

B) 3^9

C) 3^12

D) 3^8

Answers

Answer:

3^12

Step-by-step explanation:

(3^5)^2 / 3 − ^2 = 243^2/3−^2 = 59049 / 3−^2 = 59049/ 1 / 9 = 531441

= 3*3*3*3*3*3*3*3*3*3*3*3 = 3^12

What is X in this equation?

Answers

Answer:

B) 44

Step-by-step explanation:

x + 54 + 82 = 180

x + 136 = 180

x = 180 - 136

x = 44

Solve the following equation: *

Answers

Answer:

Step-by-step explanation:

x/3 + 6 = 17

Bringing like terms on one side

x/3 = 17 - 6

x/3 = 11

Dividing by 3 on both sides

x = 11/3

What is the unit rate for the following rate: 5 pounds of potatoes costs $10


Answers

Answer:

$2 per round of potatoes

Step-by-step explanation:

$10/5 pounds of potatoes= $2

22% of _ peaches is 11 peaches

Answers

I’m pretty sure it’s 50 peaches
Other Questions
Ive finished my class good luck!!? The neurons that send signals from the brain to the body muscles are motor neurons true or false Find the value of x in the parallelogram below. A rope is 3 meters long. What is the length in the centimeters of five ropes?A) 15 centimeters.B) 150 centimeters.C) 1,500 centimeters.D) 150,000 centimeters. Who won the American Revolutionary War in 1781? Help! Will give Branliest! Please Help!! NO LINK!! NO TAKING POINTS!! Just put the CORRECT answers in the CORRECT boxes. Thanks so much summarize the articleUniting for Black Lives Guys help Im failing math this assignment is 100 points it will boost my grade Im timed.. The area of triangle QTU is 6 square units, and the area of triangle RSU is 6 square units. The dimensions in the figure below are labeled in units. What is the area of triangle STU in square units PLS HELP ME GRADES ARE DUE TODAY! Fill in the chart below based on the graphs. Remember: Slope is vertical change divided by horizontal change. can someoneone help me with please i have to sent it todayWriting A storyRead the task below.Your English teacher has asked you to write a story for your school magazineThe story must begin with this sentence:It all began when Hayley was woken up by a loud noise.Your story must include: an open window a broken vaseWrite your story. The CEO is considering your recommendations, and it will take time to make some of these changes. However, you know that it's not just the structure of the department that is stifling creativity. You believe that the culture could be significantly improved, and you want to start working on these issues ASAP. It will be a slow process to make some of these changes, but the time to get started is now. You have a lot of ideas, but only a few should be implemented initially. Which three do you think should be started immediately what would the circumference be of a circle if the radius is 14 sinx dx+y[tex]sinx dx+y^{2} dy=0 Do you think it is a good idea for all scientists to use the same periodic table of elements? Why or why not? What effect did the plague have on the population of europe How does the author connect Naomi Osaka's comments about the Tokyo Olympic organizing committee with the article she wrote for Esquire? PLLSSSSSS HELPPP IF U KNOW HISTORY PLSSS HELPPP 30 POINTSSSSwhy Jerusalem is so sacred and so disputed I dont have worth so im giving things away, Heres a c r a p ton of points, enjoy