A room has a perimeter of 40 feet. The length is 4 less than 2 times the width. What are the dimensions of the room?

Answers

Answer 1

Answer:

First, develop an equation for this scenario. The formula to find the perimeter of a quadrilateral is 2l+2w. Because the length is 4 less than twice the width, this would be translated to (2w-4). Plug this into the variable for the length to get 2(2w-4)+2w=40. Distribute the 2 to get 4w-8+2w=40. Add the like terms to get 6w-8=40. Add 8 to both sides and get 6w=48. Divide 6 to result with w=8.

Now that we know w, we can substitute 8 into the variable to solve for the length. 2l+2(8)=40. Multiply 8 and 2 to get 2l+16=40. Subtract 16 to both sides to get 2l=24. Divide 2 to both sides to result with l=12.

Length = 12 feet

Width = 8 feet


Related Questions

Which equation shows the same relationship as 4 = 1/5 x 20

choose 1 answer:
A. 4 ÷ 20 = 1/5
B. 20 = 1/5 ÷ 4
C. 20 x 4 = 1/5

Answers

Answer:

C. 20 x 4 = 1/5Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

4/20=.02 so its not A

1/5 divided by 4 is .05

So that leaves C

I hope this helps :)

 

1. The fare of 12 kg of luggage for a distance of 36km is 24 rupees
How much fare will be charged for a luggage of 18kg for a distance
of 12km?​

Answers

Answer:

16 rs maybe not sure sry if wrong

find the value of X ​

Answers

the value of x would be 7

there are 5 red marbles, 7 green marbles, 4 black marbles, and 8 blue marbles in a bag. find green or black

Answers

Answer:

11/24

Step-by-step explanation:

Answer:

11/24

Step-by-step explanation:

Sophia learned 10 recipes to create party dishes she learned these recipes in two weeks how many recipes can Sophia learn in five weeks

Answers

25 recipes I think plz tell me in comments what ur is if I’m wrong

Which property is demonstrated in the equation 0 x 35=0? ​

Answers

Answer:

Step-by-step explanation:

the multiplication property of zero,

if you multiply anything by zero the product will be zero

Answer:

I'm pretty sure its identity

Step-by-step explanation:

If its correct can I get brainliest?

What is the area of an isosceles triangle with side lengths of 22 and 66

Answers

Answer:

726

Step-by-step explanation:

66*22/2=726

What are the solutions of the quadratic equation below?
x²-4x-6=0​

Answers

Answer: x=2±√10 or x=5.16227766

Step-by-step explanation:

answer asap!!! PLS HELP.
what is the value of x in the figure??
a. 90
b. 60
c. 120
d. 30

Answers

Answer:

Step-by-step explanation:

the x is 30

60=2x

x=30

Answer:

d

Step-by-step explanation:

its d i think

Pls help me this is due in 10 mins

Answers

3. .6 and 60%
4. 0.625 and 5/8
5.6/25 and 24%
6. .62 and 62%

8.40
9.9
10.60
11.70

I need help asap please​

Answers

Step-by-step explanation:

5³×1/5⁵

5×5×5×1/5×1/5×1/5×1/5×1/5

=1/25

or

1/5²

5³ × 5-⁵

5³-⁵

= 5-²

= 1
-------



B

Mr. Patel bought lunch at a restaurant for $7.35. If he paid with a $10.00 bill, how much change did he get back?

A.
$2.55

B.
$2.65

C.
$3.35

D.
$3.65

Answers

Answer:

b. $2.65

Step-by-step explanation:

$10.00 - $7.35 = ?

$10.00 - $7.35 = $2.65

Answer:

your answer would be b. $2.65

Please help due today

Answers

Answer:

cubic hahahabqbnqnwnw

Write the expression in expanded form (1 + 3b)(6)

Answers

Answer:

Answer Expert Verified

4.0/5

170

nikitasingh79

Genius

15.5K answers

114.1M people helped

Identity:

An identity is an equality which is true for all values of a variable in the equality.

(a + b)³ = a³+ b³+ 3ab(a + b)

In an identity the right hand side expression is called expanded form of the left hand side expression.

---------------------------------------------------------------------------------------------------

Solution:

(i) (2x + 1)³

Using identity

(a + b)³ = a³+ b³+ 3ab(a + b)

(2x + 1)³

= (2x)³ + 1³ + (3×2x×1)(2x + 1)

= 8x³+ 1 + 6x(2x + 1)

= 8x³ + 1 + 12x² + 6x

(ii) (2a – 3b)³

Using identity,

(a – b)³ = a³–b³ – 3ab(a – b)

(2a – 3b)³ = (2a)³– (3b)³ – (3×2a×3b)(2a – 3b)

=8a³–27b³–18ab(2a –3b)

= 8a³–27b³–36a²b + 54ab²

(iii) [3x/2  + 1]³

Using identity,

(a + b)³ = a³+ b³+ 3ab(a + b)

[3x/2 +1]³

=(3x/2)³+1³+ (3×(3x/2)×1)(3x/2+ 1)

=27x³/8+1+9/2x×(3x/2+1)

= 27x³/8 + 1 + 27/4 x² + 9/2x

= (27/8)x³ + (27/4) x² + 9/2 x + 1

(iv) [x–2/3 y]³

Using identity,

(a - b)³=a³-b³-3ab(a-b)

(X+ 2/3y)³

= (x)³–(2/3 y)³– (3×x×2/3 y)(x – 2/3 y)

= x³– 8y³/27–2xy(x – 2/3 y)

= x³– (8/27)y³–2x²y+ 4/3xy²

=========================================================

Hope this will help you....

Step-by-step explanation:

what is the factored form of 5(8 + 3x) + 5? ​

Answers

Answer:

15(3+x)

Explanation:

5(8+3x+1)

5(9+3x)

5•3(3+x)

15(3+x)

Find the lateral surface area of the cylinder. Round your answer to the nearest tenth.

Answers

Answer:

[tex] = 2\pi \: r \: h \\ 2 \times \pi \times 4 \times 9 \\ = 226 .19 {cm}^{2} [/tex]

Can I have the brainliest please?

Answer:

9 X 4 = 36

Step-by-step explanation:

not really the answer sorry pls dont be mad

Mark's father was putting in a new kitchen floor. The dimensions were 8 feet by 12 feet. If each tile was 1 square foot,
how many tiles dld he need?
87tiles 96tiles 78tiles

Answers

Answer:

96

Step-by-step explanation:

Total area is 12*8=96 square feet

Each tile is 1 square foot

The required tiles are therefore 96/1=96

john makes $400 per week. What does it mean for him to get a 150% salary raise? Explain in words and then give an example showing a calculation.
plzzzzzzzzzzzzzzzzzzzzzz help me

Answers

Answer:

1200

Step-by-step explanation:

400 x 300 because double

What is the height of the cone below?
V = 90 cm
B = 18 cm?
5 cm
06 cm
O 15 cm
O 30 cm

Answers

Answer:

5cm

Step-by-step explanation:

V = (B*H)

90 = (18 * H)

H = 90 / 18

jake scored 2 goals in soccer this season. jamie scored 4 times as many goals as jake. Edgar scored 3 times as many goals as jamie. How many goals did Edgar score?

Answers

Answer:

24

Step-by-step explanation:

2x4 = 8 8x3 = 24 so edgar has 24 goals

Answer: 24

Step-by-step explanation:

Jake scored 2

Jamie scored 4x2=8

Edgar scored 8x3=24

How many kids are there in the US

Answers

Answer:

74.2 million children under the age of 18

Step-by-step explanation:

Answer:

74•2 million kids are in the usa

Help me please it’s due right now

Answers

Answer:

1. -3/2

2. 8

Step-by-step explanation:

Plug the number in with x to find the answer, then solve using PEMDAS as normal.

Pleaseeee help I need a answer fast

Answers

Answer:

300

Step-by-step explanation:

im smart

If you place a 13 foot ladder against the top of a 12 foot building, how many feet will the bottom of the ladder be from the bottom of the building?

Answers

Did this a while ago but I’m pretty sure it’s 5 feet x=5

Find the mean then the mean absolute deviation (MAD) of the following data set Round your answer to two decimal places if necessary
3, 1, 5, 4, 8,6

Answers

Rounded answers (are in parentheses )
Mean-4.5 (5)
Median-4.4 (5)
Mode-3,1,5,4,8,6
Range-7
(MAD)-1.83 (rounded 2)

GUYS PLEASE ANSWER THIS QUESTION BELOW. I AM 1 BRAINLIEST AWAY FROM EXPERT AND NEED SOMEONE ELSE TO ANSWER THIS QUESTION SO I CAN GET BRAINLIEST! YOU DON'T NEED TO ANSWER IT RIGHT JUST TYPE SOMETHING RANDOM!! Thank you!!

https://brainly.com/question/21569168?exp=25-1

Answers

Answer:

Done :)

Step-by-step explanation:

Best of luck!

Oh okie so cute ☺️ cute lol

Salesman Scott received $2,792.79 for selling a property. If the gross commission was 6.5 % of the sale price, the listing salesman received 12% of the gross commission and Scott received 45% of the balance, how much did the property sell for?

Answers

Answer: The property sold for $5,870.41.

Step-by-step explanation:

Let x be the selling price of the property.

Then, gross commission = 6.5% of x = 0.065x

listing salesman received = 12% of ( 0.065x)  = 0.12 (0.065x) = 0.0078 x

Balance = x - ( 0.065x) -  (0.0078 x)

= (1+0.065-0.0078)x

= 1.0572x

Scott received = 45% of (1.0572x)

=0.45 (1.0572x)

= 0.47574x

Now, [tex]0.47574x=2,792.79[/tex]

[tex]\Rightarrow\ x=\dfrac{2792.79}{0.47574}\\\\\Rightarrow\ x=5870.41[/tex]

Hence, the property sold for $5,870.41.

Laila and Young each made a model volcano. Laila's volcano weighs 3 times as much as Young's. Laila's volcano weighs 9 pounds.
How much does Young's volcano weigh?
A3 pounds
B. 6 pounds
c 12 pounds
D. 18 pounds
E 27 pounds

Answers

Answer:

3

Step-by-step explanation:

The answer to this question is A

If there was a point R(-2, 4) and it was dilated to R'(-8, 16), what was the scale factor? *

Answers

Answer:

4

Step-by-step explanation:

The table and equation below show the proportional relationship between time, in seconds, x, and distance traveled, in feet, y, for two remote-control cars Car 1 X |y
15 75
17 85
21 105
Car 2 :y = 10x
Which statement is true about the speeds of the two cars? A )Car 1 is traveling faster than Car 2. B )Car 2 is traveling faster than Car 1. C) The two cars are traveling at the same speed. D) The speeds cannot be compared because there is not enough information about car 2​

Answers

Answer:

Step-by-step explanation:

Car 2 is traveling faster than Car 1. Option B is correct.

Given that,
The table and equation below show the proportional relationship between time, in seconds, x, and distance traveled, in feet, y, for two remote-control cars.

What is speed?

Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.

here,
Speed of the car 1,
= 85 - 75 / 17 - 15
= 10 / 2
= 5 feet/second


Speed of the car 2,
y = 10x
Where 10 is the speed of the car 2 feet per second.
So,
Speed of the car 2  is faster than car 1.

Thus,  Car 2 is traveling faster than Car 1. Option B is correct.

Learn more about speed here:
https://brainly.com/question/7359669

#SPJ5




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