The length of a rectangular room is 5 m more than the width. The area of the room is
150 m². Find the length and the width of the room.

Answers

Answer 1

Answer:

width=10m

length=15m

Step-by-step explanation:

Let the width be k.

LXW=Area

5 m+ k x k=150m²

5 m x k²/5 m=150 m x m/5 m

k²=√100m

k=10 m


Related Questions

Someone help ASP YOU GET 30 points and more show work so I’ll be able to understand THANK YOU!!

Answers

Answer: 1. x=4

2. x=12

3. x=-1

Step-by-step explanation:

1. 2(3x-5)=-4x+30

6x-10=-4x+30

6x+4x-10=-4x+4x+30

10x-10=30

10x-10+10=30+10

10x=40

10x/10=40/10

x=4

2. 5x-6-3x=18

5x-3x-6=18

2x-6=18

2x-6+6=18+6

2x=24

2x/2=24/2

x=12

3. -11-5x=6(5x+4)

-11-5x=30x+24

-11-5x+5x=30x+5x+24

-11=35x+24

-11-24=35x+24-24

-35=-35x

x=-1

;;44223432;3;3;3;468;$;:

A ship’s sonar detects a submarine 440 feet below a point on the ocean’s surface 600 ft dead ahead of the ship. To the nearest degree, find the angle x. hurryy!!!

Answers

The angle x to the nearest degree is 40°

Given,

The depth of submarine that a ship's sonar detects = 440 feet

The distance from submarine to ship in oceans surface = 600 feet

We have to find the angle x.

The figure is given below:

Here, we have to use the tangents definition:

That is,

tan θ = opposite side / adjacent side

Here,

tan x = 440 / 600

We want to find x,

So,

x = tan⁻¹ (440 / 600)

x = tan⁻¹ (0.73333)

x = 40.28°

By taking nearest angle, we get x as 40°

Learn more about tangent definition here:

https://brainly.com/question/10071000

#SPJ1

Combine like terms to simplify the expression:

5x^2-2x+3x^2+7x+10

Answers

Answer:

8x^2-5x+10

you just need to put the ones that are the same together

PLEASE HELP!

Anand is driving on a long road trip. He currently has 10 gallons of gas in hi
car. Each hour that he drives, his car uses up 2 gallons of gas. How much ga
would be in the tank after driving for 2 hours? How much gas would be left
after t hours?

gas left after 2 hours
gas left after t hours

Answers

Answer:

8 gallons left.......

Step-by-step explanation:

10 - 2 = 8

Rob and Lila try to simplify 18 x 42 + (9 – 3)2. Rob simplifies the expression and gets 360. Lila ​simplifies it and gets 324. Which student is correct? What error did the other student make?

Answers

The result of the expression, 18 x 4² + (9 – 3)² after simplification is 324.

What is an expression?

An expression can be defined as the combination of variables and constants with two or more operations applied to it. The operation can be addition, subtraction, multiplication and division.

Simplifying the expression

The given expression is 18 x 4² + (9 – 3)²

Using the BODMAS rule, we get,

= 18 x 4² + (6)²

= 18 × 16 + 36

= 288 + 36

= 324

Lila estimated it right.

The mistake that Rob might have made would be that he must have not solved (9 – 3)² the right way and gained the wrong answer.

Hence, the result of the expression, 18 x 4² + (9 – 3)² after simplification is 324.

To learn more about the expression, visit the link given below:

https://brainly.com/question/1859113

#SPJ9

If the end behavior is decreasing to the left ,what might be true about the function

Answers

Answer:

As the input gets smaller, the output gets smaller.

Step-by-step explanation:

What is: -6.7 x 3 + (-5.8)

Answers

Answer: -25.9 or -25 9/10

Step-by-step explanation:

Answer:

-25.9

Step-by-step explanation:

-6.7 × 3 gives you -20.1 adding on the 5.8 gives you 25.9

14. Which expression shows the sum of 30 and 45 as the product of th and a sum of two numbers with no common factor? A) 5(6 + 9) B 15(2+3) C 15(15 +45) D 90(2+3)​

Answers

B because 15 is the common factor

Yes, it is entirely possible for vou te retire as a millionaire. If your long-term financial goal is te retire as a millionaire and you plan to invest at least $200 per month for 40 years, what rate of return would keep you from ending up a millionaire based on the Building Wealth charts?

Answers

The rate of return  that would keep the individual from ending up a millionaire based on the Building Wealth charts is 9.22%

What is most appropriate method in this case?

The most suitable approach to solve for the rate of return in this instance is to make use of a financial calculator , which requires inputs as such the monthly payments, the beginning balance  which is the present value and the future value which is $1,000,000 since the individual intends to retire as a millionaire.

N=480(number of monthly payments in 40 years i.e.40*12)

PMT=-200(monthly payment)

PV=0(starting balance is zero)

FV=1000000(the future value is $1,000,000)

CPT(press compute)

I/Y=0.768414778771834%(monthly rate of return)

annual rate of return=0.768414778771834%*12=9.22%

Find out more about rate of return on:brainly.com/question/20115221

#SPJ1

Khan Question please answer

Answers

Answer: 45 mins

Step-by-step explanation:

Maria and Anita = 30mins

this is 2/3 the time of what Maria takes

so 30 mins is 2/3 so 30 / 2/3 = 45mins

QUICK IM TIMED PLS HELP
Re arrange equation to make x the subject

X-3=4y

Answers

Answer:

Re arrange equation to make x the subject

X-3=4y

-3 will be moved to the other side of equal sign

in doing so, its sign will be be switched

so

x=4y+3


The diameter of a circle is 15 ft. Find its circumference in terms

Answers

Answer:

C≈47.25

Step-by-step explanation:

Use the formula C= πd, where C is circumference, π is pi, and d is diameter.

Input the numbers and we'll shorten π to 3.15

C=3.15(15)

C≈47.25

Hi!

To find the circumference of a circle, use the following formula:

[tex]\implies\sf{Circumference_o=\pi d}[/tex]

where d is the diameter.

Now, we know that the diameter is 15 ft, so let's plug that into the formula:

[tex]\implies\sf{Circumference_o=15\pi }[/tex]

We've found the circumferencce in terms of pi! Cheers :)

Have a nice day!

I hope this helped.

Please HELP ME I need help on this final question

Answers

1 and 2 are right because one has adjacent. 2 vertical angles. Vertical angles mean the same plane and adjacent means two sides of an X.

Question 4
Tricia wants to install a decorative wall paper border around the top of the wall in he
master bedroom. The room measures 18ft by 14ft. How many feet of the border will
will she need?
Provide a numeric answer only. Do not include a unit of measure with your response

Answers

For the installation of a decorative wall paper Tricia will need 70 ft of the border to decorate the wall of her master bedroom.

The measures of the room is 18 ft by 14 ft.

So, the length of the room (l) = 18 ft

The width of the room(w) = 15 t

As we know that, perimeter of rectangle is 2(l×w).

We will get perimeter of he room = 2l × 2w

                                                    = 2(18) × 2(14)

                                                    = 70 ft.

Can someone help me please?

Answers

2 x 10^1 = 20

Dogs seen on Saturday = 20
Dogs seen on Sunday = 40

40 + 20 = 60 dogs total

Answer:

60 or 6x10^1 dogs in two days

Step-by-step explanation:

Saturday: 2x10^1 dogs

Sunday: 2(Saturday) = 2 (2x10^1)

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

2x10 = 20

2(20) = 40

20 + 40 = 60

60 or 6x10^1 dogs in two days

How do division properties help you evaluate expressions?

Drag a word or number to the box to correctly complete the statement.

Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
When the Response area of a fraction is equal to −1 and the numerator is nonzero, the value of the fraction is equal to the

Answers

The division property of equality simply tells us that if we divide both sides of an equation by the same number, then the equation remains the same.

How to explain the information?

It should be noted that when the denominator of a fraction is equal to 1, and the numerator is nonzero, the value of the fraction is equal to the numerator of the fraction.

Fractions simply means, numbers that are not whole.

If the numerator is nonzero, and the denominator is 1; then the fraction has a value of the numerator.

Learn more about division on:

https://brainly.com/question/25289437

#SPJ1

Answer:If the numerator is nonzero, and the denominator is 1; then the fraction has a value of the numerator.

Step-by-step explanation:

Jan has a car worth $3500. She still owes $1000 on the loan. She also borrowed $800 on a credit card. What are her total liabilities?

Answers

Answer:

Step-by-step explanation:

By adding the laibilites together you get 1,800.

given the function f(x)=2/3x-5, evaluate f(9)​

Answers

2/(3x-5)

2/(3(9)-5)

1/11 :(

Two cyclists, 30 miles apart, start riding toward each other at the same time. One cycles 2 times as fast as
the other. If they meet 2 hours later, what is the speed (in mi/h) of the faster cyclist?
a. Write an equation using the information as it is given above that can be solved to answer this problem.
Use the variable r to represent the speed of the slower cyclist.
b. What is the speed of the faster cyclist?
mi/hr

Answers

The equation as r + 2 r = 30 miles / 2 hours and the speed of faster cyclist as 10 miles per hour.

We are given that:

The distance between the two cyclist = 30 miles.

Now let the speed of one cyclist be x miles / hour.

Speed of other cyclist = 2 x miles / hour.

Now, 2 hours later they meet.

Distance covered by 1st cyclist in 2 hours = 2 x

Distance covered by 2st cyclist in 2 hours = 4 x

Equation will be:

2 x + 4 x = 30 miles

6 x = 30 miles

x = 5 miles.

Equation for the cyclist in terms of r will be :

r + 2 r = 30 miles / 2 hours

Speed of faster cyclist = 10 miles per hour.

Therefore, we get the equation as r + 2 r = 30 miles / 2 hours and the speed of faster cyclist as 10 miles per hour.

Learn more about equation here:

https://brainly.com/question/1214333

#SPJ9

Model this expression on a number line

Answers

Answer modeled on a number line attached

What is the selling price if cost is $18.00 and the mark up is 70% ??

show your work

Answers

The selling price if cost is $18.00 and the mark up is 70% is $30.60

What is mark  up?

The mark up means profit earned as percentage of the cost price, whereas margin means the profit is a  percentage of the selling price, in other words, the profit element to add to the cost price to derive the selling price in this case is 70% of the cost price of $18.00

profit(mark up)=70%*$18.00

profit(mark up)=$12.60

selling price=cost price+ profit(mark up)

selling price=$18.00+$12.60

selling price=$30.60

Find out more about mark up on:https://brainly.com/question/11318790

#SPJ1

solve the equation secx=2 on interval[0,2pie)

Answers

The threes solutions to the given equation sec²x - secx = 2 are:

[tex]x_1=\frac{\pi}{3} ; \quad x_2=\frac{5 \pi}{3} ; \ x_3=\pi[/tex]

What exactly are equations?An equation is a statement composed of two expressions joined by an equal sign. An equation is 3x - 5 = 16. By solving this equation, we obtain the value of the variable x as x = 7.

To solve: sec²x - secx = 2 on interval [0,2[tex]\pi[/tex])

When we set t = sec x, we get the quadratic equation:

[tex]t^2-t-2=0[/tex]Which has the solutions: [tex]t_1=2 ; \quad t_2=-1[/tex]

As a result, we must seek solutions to the equations:

[tex][1] \sec x=2: \quad \cos x=\frac{1}{2} \rightarrow x_1=\frac{\pi}{3} ; \quad x_2=\frac{5 \pi}{3} ;$\\\text { [2] } \sec x=-1: \quad \cos x=-1 \rightarrow x_3=\pi ;[/tex]

Therefore, the three solutions are:

[tex]x_1=\frac{\pi}{3} ; \quad x_2=\frac{5 \pi}{3} ; \ x_3=\pi[/tex]

Know more about equations here:

brainly.com/question/2972832

#SPJ9

The correct question is given below:
solve the equation sec²x - secx = 2 on interval [0,2[tex]\pi[/tex])

Consider the information about the economy of Pakistan. Note that the currency of Pakistan is the rupee.
The government purchases: 3.30 trillion of rupees.
Individuals consume: 9.50 trillions of rupees.
Individuals save: 5.44 trillions of rupees.
Businesses invest: 1.20 trillions of rupees.
Foreigners spend: 0.50 trillions of rupees to purchase Pakistani firms.
Pakistan imports: 2.13 trillions of rupees.
Pakistan exports: 1.40 trillions of rupees.

Calculate Pakistan's GDP. Assume that the values are all current and no conversions need to be made. Give your answer in terms of trillions of rupees, and round to two decimals.

Answers

Pakistan's GDP is 13.27 trillion rupees.

What is GDP?

GDP is the total value of all products manufactured and goods provided within that territory during a specific period.

We have,

Government purchases = 3.30 trillion rupees.

Individuals consume = 9.50 trillion rupees.

Individuals save = 5.44 trillion rupees.

Businesses invest = 1.20 trillion rupees.

Foreigners spend =0.50 trillion rupees to purchase Pakistani firms.

Pakistan imports = 2.13 trillion rupees.

Pakistan exports = 1.40 trillion rupees

GDP is given by:

C + I + G + NX

Where,

C = Consumption

I - Investment

G - Government Purchases

NX - Net Exports = Export - Import

So,

C = 9.50

I = 1.20

G= 3.30

NX =  ( 1.40 - 2.13 ) = -0.73

GDP = 9.50 + 1.20 + 3.30 - 0.73

GDP = 13.27 trillion rupees.

Thus Pakistan's GDP is 13.27 trillion rupees.

Learn more about GDP here:

https://brainly.com/question/15868608

#SPJ1

What are the challenges in mixed research method?

Answers

The seamless integration of quantitative and qualitative data during analysis and interpretation is one of the main issues in mixed research methods.

What is the research about?

Mixed Techniques Research is characterized as a subtype of user research that incorporates both qualitative and quantitative research approaches.

The overarching goal and fundamental tenet of mixed methods research is that using both quantitative and qualitative methods together yields a more comprehensive grasp of study issues and complicated phenomena than either method by itself.

In conclusion, the seamless integration of quantitative and qualitative data during analysis and interpretation is one of the main issues in mixed research methods.

Learn more about research on:

https://brainly.com/question/28077230

#SPJ1

(PLEASE ANSWER A, B, AND C)
Give each probability as a simplified fraction, decimal, and percent.
If the spinner below is spun once, find each probability.
A. P (4)
B. P (a number less than 10)
C. P (a prime number)

Answers

The probability of P(4) is 1/8. 12.5%, 0.125.

The probability of a number less than 10 is 8/8. 1 , 100%

The probability of a prime number is 1/2. 0.5. 50%.

What is the probability?

Probability determines the odds that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The more likely the event is to happen, the closer the probability value would be to 1. The less likely it is for the event not to happen, the closer the probability value would be to zero.

Probability of spinning 4 = number of possible outcomes / number of sections

1/8 = 0.125 = 12.5%

Probability of spinning a number less than 8 = possible outcomes / total sections

8/8 = 1 = 100%

Probability of spinning a prime number = number of possible outcomes / total sections

Prime numbers between 1 and 8 = : 2, 3, 5, 7

4/8 = 0.5 = 50%

Please find attached the spinner. To learn more about probability, please check: https://brainly.com/question/13234031

#SPJ1

One rectangle is "framed" within another. Find the area of the shaded region if the
"frame" is 1 unit wide.
10
5

Answers

The rectangle that is shaded has an area of 18 square units.

The framed rectangle is represented by the darkened area, while the frame is shown in white.

The frame's known width is two units, and both the rectangle and the frame have the following dimensions:

width = 7 units

length = 10 units

Now, if we remove the frame, each measure will lose 2*2 units, or 4 units (because for each measure we have the frame in both sides).

As a result, the measurements for the shaded rectangle are as follows:

width = 7 units - 4 units = 3 units

length = 10 units - 4 units = 6 units.

And since the product of a rectangle's width and length determines its area, we may calculate:

A = (3 units)*(6 units) = 18 square units.

To learn more about similar question from the given link:

brainly.com/question/26889212

#SPJ9

UNIT TEST:
Basic Tools and Transformations - Part 1

Answers

For given polygon, the value of x is 61°

In this question we have been given a polygon with five sides.

We have been given the five interior angles of the polygon.

We need to find the value of x.

From given figure, we can observe that the given polygon is nothing but a pentagon.

We know that the sum of all interior angles of the pentagon is 540°

⇒ 107° + 144° + 138° + x° + 90° = 540°

⇒ 479° + x° = 540°

⇒ 479° + x° - 479° = 540° - 479°

⇒ x = 61°

Therefore, for given polygon, the value of x is 61°

Learn more about the polygon here:

https://brainly.com/question/24464711

#SPJ1

16. The formula A = r² can be used to find the area of a circle. Solve the equation for r.
a. r=A-2n
b. r = √A - T
C. r=
d.)r =
A
A
211

Answers

Swap the sides of the equation

2
r' =a

Take the square root of both sides of the equation and remember to use both positive and negative roots

use the diagram and the given angle measure to find the other 3 measures. m<3=159 degrees

Answers

Answer: hegdbweh wnbdb jsbdjh

Step-by-step explanation:b jbedbd jakdnfcj jsdcnbv

Jorge sells chairs for $230 after a markup of $80. Jorge's percent of markup based on the selling price is?

Answers

Jorge's percent of markup based on the selling price is 34.78%.

The Percent markup based on Selling Price is calculating using the formula

Percent Markup = ( Markup/Selling Price )*100

In the given question

The Selling Price of chair = $230

Markup = $80

Substituting the values of Selling price and Markup in the Percent markup formula,

We get ,

Percent Markup = (80/230) * 100

=0.3478

=34.78

Therefore , the percent markup based on the selling price is 34.78%.

Learn more about Markup here https://brainly.com/question/11999225

#SPJ1

Other Questions
What is the volume of a cylinder with radius 4 cm and height 9 cm? Read the letter.A Letter from the AtlanticDear Hannah,Ive never seen so much water beforeeverywhere I look, all I can see around me is placid blue. Im grateful for the calm water today because it enables me to ascend to the top level of the SS Frisia and look at the Atlantic Ocean that stretches before us until it meets the horizon. I feel the warm air on my face and smell the salty sea air, but theres a pit in my stomach when I think about how different life in New York will be.When we first set sail on August 21st, I watched until Hamburg became a miniscule speck in the distance. When I squinted and couldnt see the familiar buildings with their smoke spewing into the air anymore, Papa told me to look the other way. You cant look back, he said as he walked me to the other side of the ship, his strong arm supporting my shoulders. Home is there now. He pointed to a place that was shimmering waves of blue, and I had a hard time visualizing a home that was 6,000 kilometers of water. He told me to close my eyes and picture the skyline that would soon materialize on the horizon. I couldnt even fathom 6,000 kilometers of water, just like I couldnt fathom that our new home wouldnt be Hamburg anymore.Most of the days at sea have been turbulent; tall waves reach up from the bottom of the sea and smack into the ship, sending us to the ground whenever we are standing. We are jettisoned from one side of the ship to the other like billiard balls; we emigrants glance off one another before moving in separate directions. It was entertaining at first, but now the ships rocking motion makes me feel sick, so I descend back to the bottom level where my familys room is. Through the tiny oval porthole, I watch as the rough water laps the glass.We play games and read and sleep to pass the timesometimes theres violin music that drifts into our room at night. My brother and I step out into the hallway in our socks and dance to the fast beat together, and it makes the boats rocking seem bearable. Most nights, we practice some English words with one another peppered in with the German that I will soon use less and less. I am from Germany, I practice over and over again, elongating my mouth around vowels that are pronounced differently in English than in German. I still think in German, dream in German, feel German words fly off my tongue with a comfort and speed that I worry Ill never feel when I speak English. What will happen to me if the English all around me displaces the German of my youth?There are people on this ship from everywhere: The Kowalski family in the room next to ours is from Poland, while the Ivanov family on the other side is from Russia. We practice basic English with one another: Good morning. How are you? Behind the closed doors of strangers rooms, I hear unfamiliar consonant sounds making up the lyrics to lilting songs. I can only imagine that these melodies are about feeling adrift; though we come from different places, nostalgia and homesickness know no borders or boundaries.When I write these letters to you, I wonder where you are and what you are doing. Are you still walking along the canals of the Speicherstadt the way we used to after school? Do you still hear the bells of St. Michaels Church resounding through the air? Does the bakery on the corner still serve our favorite Brtchen when it comes right out of the oven?I miss you more than I can say in this letter. Say hello to everyone for me and tell them that my family is doing well. By the time I get on land to mail this letter, I will be at Ellis Island!Love,LieslQuestion 1Part AIn "A Letter from the Atlantic," what inference can be made about how Liesl feels about the other emigrants aboard the SS Frisia ?She wishes they didn't play music at night.She enjoys practicing her English with them.She wishes they left her alone more often.She wants to learn more about their native countries.Question 2Part BWhich sentence best supports the answer in Part A?"We practice basic English with one another: 'Good morning. How are you?'""We play games and read and sleep to pass the time""There are people on this ship from everywhere""We are jettisoned from one side of the ship to the other like billiard balls" need help Bad!!!!!!!! A ball, starting from rest at Position 1, rolls down and then up a curved track towards Position 5. When it reaches Position 5, it rolls back down the track.Which description below is most consistent with what you can expect from the ball's motion? Which statement describes the rock cycle?A. A series of processes on Earth's surface and interior that slowly erodes rocks from one kind to anotherB. A series of processes on Earth's surface and interior that slowly changes rocks from one kind to anotherC. A series of processes on Earth's surface and interior that quickly changes rocks from one kind to anotherD. A series of processes on Earth's surface that slowly changes rocks from one kind to another HELP ME PLEASE I AM BEGGING You are considering the following two mutually exclusive projects that will not be repeated. The required rate of return is 11.25% for project A and 10.75% for project B. Which project should you accept and why?a. project A; because its NPV is about $335 more than the NPV of project B.b. project A; because it has the higher required rate of return.c. project B; because it has the largest total cash inflow.d. project B; because it returns all its cash flows within two years.e. project B; because it is the largest sized project. In not less than 450 words describe your family and her major values to a friend George had 27 arcade tokens. He used t tokens to play video games. Then, he used 14 tokens for a stuffed animal. Now, he has 5 tokens left. How many tokens did George use to play video games? (5x^4 + y^5)^2HELP. Plz help i have tried everything The angle between the generator and the central axis of a double-napped cone is 50. Which conic section is formed when a plane intersects the central axis at 50?circleellipseparabolahyperbola What is one if the defining characteristic of the modern era Look at the photograph.The subjects facial expression depicts a sense ofhopelessness.indifference.concern.concentration A(3,5) (x,y)->(x+2, y-4) What are the coordinates of A? How is a value list created?by the user typing in values for the listby the list pulling values from another tableby the list pulling values from the same tableby the user linking the list to another database Determine whether each line of poetry has iambic, trochaic, or no clear meter.The bird's song was golden.Remember me, I say to thee.Everlasting fields of flowers. According to the stage directions, this play starts in 1945, and then it flashes back to 1942. What is the purpose of organizing the play this way? I. The author can introduce the main characters more slowly, so we won't be so confused. II. It gives us a chance to become accustomed to Mr. Frank. III. It makes it clear that the diary was created by Anne in earlier times. IV. It makes the audience wonder what made Mr. Frank so bitter. The function f(x) = x is translated 6 units right and 8 units up. Which function represents the transformation? 5x + y = 133(x + y) =12+ y