The first floor of a house consists of a kitchen, playroom, and dining room. The areas of the kitchen,
playroom, and dining room are in the ratio 4 : 3 : 2. The combined area of these three rooms is 189
square feet. What is the area of each room?

Answers

Answer 1
area of kitchen: 4x = 4(21) = 84 ft^2
area of playroom: 3x = 3(21) = 63 ft^2
area of dining room: 2x = 2(21) = 42 ft^2

Related Questions

5 1/10 x 1/6 pls helppp

Answers

Answer:

51/60

Step-by-step explanation:

First, I'll convert 5 1/10 into an improper fraction to make it easier to work with. I get 51/10. Then, I multiply the two fractions like so:

51/10 * 1/6 = 51/60

You multiply the numerators (the numbers on top) and the denominators (the numbers on the bottom) separately.

So the answer is 51/60.

whats the PERIMETER of this shape?

Answers

Answer:

the answer is 130

Step-by-step explanation:

the answer is 130 because to get the perimeter of the figure yo need to add all the sides to get 130. so 9+4+25+7+5+16+8+16+12+4+9+15=130

20 points (looking for the reasoning) Jayden and Sheridan both tried to find the missing side of the right triangle.
A right triangle is shown. One leg is labeled as 7 centimeters. The hypotenuse is labeled as 13 centimeters.

Jayden's Work Sheridan's Work
a2 + b2 = c2 a2 + b2 = c2
72 + 132 = c2 72 + b2 = 132
49 + 169 = c2 49 + b2 = 169
218 = c2 b2 = 120
Square root 218 equals square root c squared. Square root b squared equals square root 120.
14.76 ≈ c b ≈ 10.95

Is either of them correct? Explain your reasoning.

Answers

Answer:

Step-by-step explanation:The problem is very hard to read.  When using exponents, please add the "^" in front.  For example, is 132 actually 132, or is it 13^2?  The right triangle is not shown, so we really don't know which is the hypotenuse. Also be carefull with spacing.  Making some assumptions, here is how the answer might look:

Both have the correct formula:  a^2 + b^2 = c^2, assuming c is the hypotenuse.

If c is the hypotenuse, then the expression should be:

7^2 + b^2 = 13^2, or

49 + b^2 = 169

I like Sheridan's answer.  So let's continue:

49 + b^2 = 169

b^2 = 169-49

b^2 = 120

b = 10.954 . . .

Yep, I'm on Sheridan's side.  [That is, unless 72 is 72 and not 7^2, etc.]

18624 to the nearest thousand​

Answers

Answer:

18624 to nearest 1000= 19000

hope this helps <3

Answer:

19000

Step-by-step explanation:

624 is more than 499 therefore it is 19000

El aula 101 y el aula 102 comparten la cartelera
del pasillo. Si el aula 101 usa de su mitad
para mostrar trabajos artísticos, ¿qué fracción
de la cartelera total se usa para mostrar
trabajos artísticos del aula 101?

Answers

Answer:

1/2

Step-by-step explanation:

pues el ejercicio te da la respuesta

te dice que el aula usa la MITAD = 1/2 para trabajos artisticos.

respuesta 1/2

what is the answer to this, please?

Answers

Answer:

s^3 + 12

Step-by-step explanation:

To get the missing volume you need to do:

height x length x width or s^3.

Then, add that volume to the existing 12 volume:

s^3 + 12.

Hopefully this helped!

Brainliest please?

Answer:  I don't know do it your self

Step-by-step explanation:

help plsssssssrjeieiedidj

Answers

Answer:

C

Step-by-step explanation:

when x=8

and when x= -12

Find the slope of a line parallel to the line y = 7

Answers

Answer:

y = 7 is a horizontal line with slope 0

Any parallel line will also have slope 0

Step-by-step explanation:

Points A and B are 100m apart on a coastline.
B is directly east of A.
A lighthouse is out at sea.
The bearing of the lighthouse is
164 degrees from A and
217 degrees from B
The angle of elevation of the top of the lighthouse from A is 27 degrees.
Find the distance of the lighthouse from A.
Find the height of the lighthouse.

Answers

Points A, B and the lighthouse are related by angles of elevation.

The distance of the lighthouse from A is 97.4 mThe height of the lighthouse is 79.9 m

From the complete question (see attachment), we have:

[tex]\mathbf{\angle A = 164 - 90}[/tex]

[tex]\mathbf{\angle A = 74}[/tex]

[tex]\mathbf{\angle B = 270 - 218}[/tex]

[tex]\mathbf{\angle B = 52}[/tex]

[tex]\mathbf{\angle L = 180 - 74 - 52}[/tex]

[tex]\mathbf{\angle L = 54}[/tex]

(a) The distance between the lighthouse and A

This is calculated using the following sine ratio

[tex]\mathbf{\frac{a}{sin A} = \frac{b}{sin B} = \frac{c}{sin C}}[/tex]

So, we have:

[tex]\mathbf{\frac{AL}{sin B} = \frac{100}{sin L}}[/tex]

This gives

[tex]\mathbf{\frac{AL}{sin 52} = \frac{100}{sin 54}}[/tex]

Make AL the subject

[tex]\mathbf{AL = \frac{100}{sin 54} \times sin 52}[/tex]

[tex]\mathbf{AL = 97.4}[/tex]

The distance of the lighthouse from A is 97.4 m

(b) The height of the lighthouse

Considering triangle AHL, we have:

[tex]\mathbf{\angle H = 90 + 27 = 117}[/tex]

[tex]\mathbf{\angle A = 74 - 27 = 47}[/tex]

[tex]\mathbf{AL = 97.4}[/tex]

The height is then calculated using the following sine ratio

[tex]\mathbf{\frac{a}{sin A} = \frac{b}{sin B} = \frac{c}{sin C}}[/tex]

So, we have:

[tex]\mathbf{\frac{AL}{sin H} = \frac{HL}{sin A}}[/tex]

Make HL the subject

[tex]\mathbf{HL = \frac{AL \times sin A}{sin H}}[/tex]

This gives

[tex]\mathbf{HL = \frac{97.4 \times sin 47}{sin 117}}[/tex]

[tex]\mathbf{HL = 79.9}}[/tex]

Hence, the height of the lighthouse is 79.9 m

Read more about elevation and depressions at:

https://brainly.com/question/21137209

Find the area of the parallelogram.
11 cm
20 cm

Answers

the answer is 220!!!

p=3.25x - x2/40,000 - 3000. find the product on level that produces a maximum profit

Answers

Answer:

I am a little bit more about it. the only one who has a great time to time, and I am a very good at the same time, and I will be a good person to person. I am a little while, but it will not have a

Step-by-step explanation:

great day for me to do it, but I think 2 the. follow the instructions for a couple of days. the the the the the other side of things to say, but I think I am going through my head. it will not be able to get the most of the most part, and

ron goes to a shop to buy some notebooks. the shopkeepers informs him that 2 notebooks would cost $90. can you find the cost of 5 notebooks with the help of unitary method​

Answers

Answer: $225

Step-by-step explanation:

Each Notebook costs 45 dollars, this can be found by taking the cost of 2 (90$) and dividing it by 2

Now just take the cost per notebook (45) and multiply it by the amount wanted (5) and your total should come out to $225

- Gage Millar, Algebra 2 Tutor

Answer:

$225 = 5 note books.

45 = 1 note book

Step-by-step explanation:

90/2 = $45 EACH

Unitary method means find 1 part first.

Therefore,

1 part = 45

45 x 5 = 225

$225 = 5 note books.

Consider
x - 3, X < 0
3, x >0
The graph of the functions above is shown.

Answers

Answer:

It is true. This is the graph.

x=[tex]\frac{2n+6}{n-2}[/tex] x ∈ N, n ∈ N

Answers

Answer:

x = {3,4,7,12}

n = {12,7,4,3}

(upside down)

Step-by-step explanation:

N = {1,2,3,4,5....}

[tex]\:[/tex]

if n = 1

[tex]\sf{x = \frac{2n+6}{n-2}}[/tex]

[tex]\sf{x = \frac{2(1) + 6}{1 - 2}}[/tex]

[tex]\sf{x = \frac{2 + 6}{-1}}[/tex]

[tex]\sf{x = \frac{8}{-1}}[/tex]

[tex]\sf{x = - 8}[/tex]

x not N

[tex]\:[/tex]

if n = 2

[tex]\sf{x = \frac{2n+6}{n-2}}[/tex]

[tex]\sf{x = \frac{2(2) +6}{2-2}}[/tex]

[tex]\sf{x = \frac{4 + 6}{2 - 2}}[/tex]

[tex]\sf{x = \frac{8}{0}}[/tex]

[tex]\sf{x = \infty }[/tex]

x not N

[tex]\:[/tex]

if n = 3

[tex]\sf{x = \frac{2n+6}{n-2}}[/tex]

[tex]\sf{x = \frac{2(3) +6}{3-2}}[/tex]

[tex]\sf{x = \frac{6 + 6}{1}}[/tex]

[tex]\sf{x = \frac{12}{1}}[/tex]

[tex]\sf{x = 12}[/tex]

x is N

[tex]\:[/tex]

if n = 4

[tex]\sf{x = \frac{2n+6}{n-2}}[/tex]

[tex]\sf{x = \frac{2(4) +6}{4-2}}[/tex]

[tex]\sf{x = \frac{8 + 6}{2}}[/tex]

[tex]\sf{x = \frac{14}{2}}[/tex]

[tex]\sf{x = 7}[/tex]

x is N

[tex]\:[/tex]

if n = 5

[tex]\sf{x = \frac{2n+6}{n-2}}[/tex]

[tex]\sf{x = \frac{2(5) +6}{5-2}}[/tex]

[tex]\sf{x = \frac{10 + 6}{3}}[/tex]

[tex]\sf{x = \frac{16}{3}}[/tex]

x not N

[tex]\:[/tex]

if n = 6

[tex]\sf{x = \frac{2n+6}{n-2}}[/tex]

[tex]\sf{x = \frac{2(6) +6}{6-2}}[/tex]

[tex]\sf{x = \frac{12 + 6}{4}}[/tex]

[tex]\sf{x = \frac{18}{4}}[/tex]

x not N

[tex]\:[/tex]

if n = 7

[tex]\sf{x = \frac{2n+6}{n-2}}[/tex]

[tex]\sf{x = \frac{2(7) +6}{7-2}}[/tex]

[tex]\sf{x = \frac{14 + 6}{5}}[/tex]

[tex]\sf{x = \frac{20}{5}}[/tex]

[tex]\sf{x = 4}[/tex]

x is N

[tex]\:[/tex]

if n = 12

[tex]\sf{x = \frac{2n+6}{n-2}}[/tex]

[tex]\sf{x = \frac{2(12) +6}{12-2}}[/tex]

[tex]\sf{x = \frac{24 + 6}{10}}[/tex]

[tex]\sf{x = \frac{30}{10}}[/tex]

[tex]\sf{x = 3}[/tex]

x is N

[tex]\:[/tex]

conclusionI found the pattern of numbers that the value of n is 3, 4, 7,12 For x, I found the pattern of numbers that the value of x is 12, 7, 4,3

The ratio of men to women working for a company is 8 to 5. If there are 273 employees total, how many women work for the company?

Answers

Answer:

105 women

Step-by-step explanation:

8 to 5, sooo \/

8x + 5x = 273

13x = 273

x=273/13

x=21

8*21 = 168 men

5*21 = 105 women

(to check we can add 168 and 105 together and make sure we get 273. We do!)

The square of 5 is 25 The square of another number is also 25

Answers

Answer:

the other answer is -5

Step-by-step explanation:

someone plzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

3/5

Step-by-step explanation:

THE ROOM NUMBER OF THE TWO ADJACENT CLASSROOMS ARE TWO CONSECUTIVE ODD NUMBERS IF THE SUM IS 216FIND THE CLASSROOM NUMBERS

Answers

Answer:

Step-by-step explanation:

To make sure that you are adding 2 odd numbers, the first one is 2x - 1 and 2x + 1

Their sum is 216

Equation

2x - 1 + 2x + 1 = 216

Solution

2x - 1 + 2x + 1 = 216                   Combine like terms on the left

4x = 216                                     Divide by 4

4x/4 = 216/4                               Combine

x = 54

Answer

2x - 1 = 2*54 - 1 = 108 - 1 = 107

2x + 1 = 2*54 + 1 = 108+1 = 109

The two consecutive odd numbers are 107 and 109

Find the next 3 terms if it is a arithmetic sequence, 20.5, 12.4, 4.3, -3.8, -11.9

Answers

Answer: -20 -28.1 and -36.2

Step-by-step explanation:

20.5 - 12.4 = 8.1

12.4 - 4.3 = 8.1

4.3 - (-3.8) = 8.1

(-3.8) - (-11.9) = 8.1

(-11.9) - ([tex]n_{1}[/tex]) = 8.1

[tex]n_{1}[/tex] = -20

(-20) - ([tex]n_{2}[/tex]) = 8.1

[tex]n_{2}[/tex] = -28.1

(-28.1) - ([tex]n_{3}[/tex]) = 8.1

[tex]n_{3}[/tex] = -36.2

please give me a brainliest answer

solve the equation: x^3-2x^2=0

Answers

x = 0 and x=2

Step-by-step explanation:

[tex] {x}^{3} - {2x}^{2} = 0[/tex]

[tex] {x}^{2} (x - 2) = 0[/tex]

[tex] {x}^{2} = 0 \\ x = 0[/tex]

[tex]x - 2 = 0 \\ x = 2[/tex]

Please rate BRAINLIEST

PLEASE I NEED HELP ASAP!!

Aluminum bronze consists of copper and aluminum, usually in the ratio of 10:1 by weight. If an object made of this alloy weighs 77 pounds, how many pounds of aluminum does it contain?

Answers

1 mark for 10:1 mean 10 parts copper 1 part aluminium

Hep help help help hell

Answers

Answer:

80/100=0.8

Step-by-step explanation:

please mark me as brainlest

A map shows a straight path down a mountain. The path can be plotted on a graph as a straight line, which passes through (2, –1). The equation of the plotted line has a slope of –3.
The situation can be modeled by the equation

Answers

Answer:

y=-3x+5

Step-by-step explanation:

y=-3x+c

Substituting x and y values,

-6+c=-1

c=5

So I know how to do division and all but I was wondering what’s the fastest way to get the answer since I have to find out how much 90 goes into 810?

Answers

Answer:

Well you need to do division. If you want to make it easier you can divide both numbers by 10 and get 9/81. Both will give you 9 as the answer

Answer:

810 devided by 90

Step-by-step explanation:

Fact family

A candy store need to mix two types of candies, one at $1.20 and the other one at $1.50, to obtain 75 pounds at $1.40 per pound. Use system of linear equations to find how many pounds of each they must mix to obtain what they need.

Answers

Answer:

Steps and solution in the attached picture.

Step-by-step explanation:

Steps and solution in the attached picture.

PLEASE HELP!!!!!
will mark brainliest!!!!!

Answers

(-9,-6), (-3,0), (-2,1), (4,7), (6,9)

not easy help me please

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

In the number line attached in my attachment,

The red line represents point :

[tex] \dfrac{10}{2} [/tex]

The blue line represents point :

[tex] \dfrac{ - 9}{2} [/tex]

I hope it helps ~

deon swam 4 kilometers against the current

Answers

Answer:

DEON is awesome at swimming

Step-by-step explanation:

good job deon

Need someone to verify the answer for me so i can know if i get it right or not. thanks<3

Answers

x = 100

why?

because,

(76 + 124) ÷ 2 = 200 ÷ 2

= 100

your welcome :)

give me the brainliest please thank you

If p(x)=2x2-1, find p(-3)

Answers

Given the function, p(x) = 2x^2 - 1, to evaluate p(-3), you could simply substitute -3 as the input of the function.

p(-3) = 2(-3)^2 - 1

p(-3) = 2(9) - 1

p(-3) = 18 - 1

p(-3) = 17

Therefore, p(-3) = 17.
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