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? (Ex. Kitchen Area=______, Playroom Area=______, Dining Room=_____) *

Answers

Answer 1

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that the areas of the kitchen, playroom, and dining room are in the ratio 4 : 3 : 2 and that the combined area of these three rooms is 189 square feet.

Therefore, Kitchen area = 4/(4+3+2) × 189 = 4/9 × 189 = 84 square feet

Playroom area = 3/(4+3+2) × 189 = 3/9 × 189 = 63 square feet

Dining room area = 2/(4+3+2) × 189 = 2/9 × 189 = 42 square feet


Related Questions

PLEASE SHOW FULL SOLUTIONS!!! WILL MARK BRAINLIEST!!! SHOW ALL STEPS!!! THANK YOU!!!

Answers

9514 1404 393

Answer:

  a) BE = 5; DE = 6; EF = 4

  b) ∠EFC ≅ ∠DA.F ≅ ∠BDE  or  b = e = f = i

Step-by-step explanation:

Each short segment is the same length as the marked one it is parallel to.

  E is the midpoint of BC, so BE = EC = 5.

  ADEF is a parallelogram, so DE = A.F = 6.

  D is the midpoint of AB, so AD = DB = 4. ADEF is a parallelogram, so ...

     EF = AD = 4

__

As we have noted, AB║EF and DE║A.F, so corresponding angles and alternate interior angles are congruent. b = e = f = i

2 Sam is a manager in an office.
She wants to buy 14 new chairs.
Each chair costs £73
Sam will also be charged 20% VAT on the cost of the chairs.
Sam has £1200 to buy the chairs.
Is £1200 enough to buy the 14 chairs?

Answers

Answer:

14 X 73 = 1022

1022/100 X 120 = 1226.4

1226.40 - 1200 = 26.40

No Sam does not have enough she is 26.40 short.

cqn you answer this one ps

Answers

Answer:

i think its a but im not sure and i dont know how to explain it

Please help ASAP!!!!

Answers

The answer is letter b

1. The value of 20 x 5º =............
2. If a =3 and b=2 then the value of (a + b ) is
3. Angles in a semicircle is
OR
The sum of either pair of opposite angles of a cyclic quadrilateral is
4. Write the degree of the polynomial v2r? +r".
5. The volume of a sphere of radius 3cm is
6. The perimeter of an equilateral triangle is 8 m , what is its area ?
7. In the given figure , AD is the median , then find < BCA
35°
B В
с
D
OBOR
8. A linear equation in two variables has ............ solutions
9. A circle divides the plane on which it lies in
parts.
10. The sum of either pair of opposite angles of a cyclic quadrilateral is.....
11. The formula for finding TSA of a cuboid is
OR
The formula for finding Volume of a cone is
12. In the given figure, find the value of x.​

Answers

Answer: salt

Step-by-step explanation:

WILL MARK BRAINLIEST

What is the rate of change of the linear function that has a graph that passes through the points (1, 15) and (–2, 3)?

Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, . , -, and / are allowed in your answer. Answers that are mixed numbers must be entered as an improper fraction or decimal.

Answers

Answer:

4

Step-by-step explanation:

Rate of change is just slope, based on what I know.

Given 2 points : (x1, y1) and (x2, y2)... The slope would be [tex]\frac{y_{2}-y_{1} }{x_2-x_{1}}[/tex].

So for this problem we need to find the slope:

(1,15) and (-2,3) are the points. To find slope we do [tex]\frac{3-15}{-2-1}[/tex]. This simplifies into [tex]\frac{-12}{-3}[/tex].This then simplifies into 4.

The rate of change is 4 based on my work.

What value is equivalent to

Answers

Answer:

-3

Step-by-step explanation:

dont know its right id(kkkkkkkkkkkkkkkkkkkkkkk

please help!!!!!(i don't know what else to write so)

Answers

Answer:

A

Step-by-step explanation:

sorry if its wrong but i think its right

please help me please will give brainliest ​

Answers

Answer:

The answer is 32 squares

Answer:

C. 32

Step-by-step explanation:

i need help with this

Answers

Answer:

30 square cm

Step-by-step explanation:

Key skills needed are: Triangle similarity, multiplication, proportions, subtraction

1) We first find that Triangle BCD is similar to triangle ACE. This is because they both have 1 right angle, and both share Angle BCD. Therefore, the other two angles are also the same measure.

2) Based on the statement above, 6/9 = 8/CE (CE just means the length of CE)

3) Solve this by cross multiplying -

[tex] \frac{6}{9} = \frac{8}{ce} [/tex]

This means that 6(CE) = 8(9)

4) Multiply it out: 6(CE) = 72

5) Divide by 6 and get CE = 12 cm.

6) Then use base time height to find the area of both triangles.

7) For triangle BCD: 6(8)/2 = 6(4) = 24 square centimeters

8) For Triangle ACE: 9(12)/2 = 9(6) = 54 square cm

9) To find the area of ABDE, you would subtract the are of triangle ACE by the area of triangle BCD

10) This is 54 - 24 = 30 square cm.

Hope you understood and have a nice day!! :D

What is the coefficient of the variable in the expression 6 - 4x - 8 +2


A. 6

B. 2

C. -4

D. -8

Answers

Answer:

d

Step-by-step explanation:

It’s B... probably bc I worked it out but that’s what I got

if y varies directly with x and y doubles then x?

Answers

Answer:

Also doubles

Step-by-step explanation:

Hope this helps. Have a nice day you amazing bean child.

The constant of proportionality is 2.

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have [y] varies directly with [x] and y doubles then x.

The general equation of a straight line can also be used to represent proportional relationship when [c] = 0.

y = mx + c

y = mx + 0

y = mx

m = y/x

where [m] is constant of proportionality.

A/C to question -

y = 2x

Here, the constant of proportionality is 2.

Therefore, the constant of proportionality is 2.

To solve more questions on straight lines, visit the link below-

brainly.com/question/20400984

#SPJ2

what is the slope of the line that passes through (-5,0) and (-5,5)

Answers

Answer:

m=undefined

Step-by-step explanation:

the formula for slope (m) is (y2-y1)/(x2-x1)

here are the given points: (-5,0) and (-5,5)

we can label the points:

x1=-5

y1=0

x2=-5

y2=5

now substitute into the equation

m=(5-0)/(-5--5)

m=(5-0)/(-5+5)

m=5/0

m=undefined

the slope is undefined, because you cannot divide by 0

What percentage would the wand need to have exactly a 50% chance of winning
the wizard standoff?

Answers

Answer:

What percentage would the wand need to have exactly a 50% chance of winning the wizard standoff?

a;50

I need the answer and how to solve this

Answers

Answer:

50

Step-by-step explanation:

Since 140° is on the outside, the angle next to it would be 40°.

Also a triangle = 180°

40° + 90° = 130°

180° - 130° = 50°

Thus meaning x = 50°

Answer:

x = 50°

Step-by-step explanation:

- the angle at the top is shown as a right angle so it is 90°

-the 140° angle and the angle next to it are 180° together so let's name the other angle z

z+140=180

z=180-140=40°

- a triangle's angles in total have 180°

x+y+z= 180°

x+90°+40°=180°

x+130 =180

x= 180-130 = 50°

Please give me the correct answer ​

Answers

Number 2 hope this help.

Answer: The fourth set of sides

Step-by-step explanation:

For a set of side lengths to form a right triangle, they have to satisfy the Pythagorean theory [tex](a^{2} +b^{2} =c^{2} )[/tex]

First set of sides

a = 7.5    b = 18    c = 21.5

[tex]a^{2} +b^{2} =c^{2}\\7.5^{2} +18^{2} =21.5^{2} \\56.25 + 324 = 462.25\\380.25 \neq 462.25[/tex]

Second set of sides

a = 7.5   b = 19.5    c = 21.5

[tex]a^{2} +b^{2} =c^{2} \\7.5^{2} +19.5^{2} =21.5^{2} \\56.25 + 380.25 = 462.25\\436.5 \neq 462.25[/tex]

Third set of sides

a = 18     b = 19.25    c = 21.5

[tex]a^{2} +b^{2} =c^{2} \\18^{2} +19.5^{2} =21.5^{2} \\324 + 380.25 = 462.25\\704.25 \neq 462.25[/tex]

Fourth set of sides

a = 7.5     b = 18     c = 19.5

[tex]a^{2} +b^{2} =c^{2} \\7.5^{2} +18^{2} =19.5^{2} \\56.25 + 324 = 380.25\\380.25 = 380.25[/tex]

I hope that helped!

What is the best estimate for the value of 29?
O A. 2.9
B. 5.4
O c. 7.3
D. 9.7
O E. 14.5

Answers

Answer:

D.

Step-by-step explanation:

Item 1
Write the word sentence as an inequality. Then solve the inequality.

The product of −2 and a number x is greater than 30.

An inequality is
.

The solution of this inequality is
.

Answers

Answer:

-2(x)>30

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. 

x<-15

Step-by-step explanation:

-2(x)>30 means to divide -2 on both sides which is -15.

x>-15

Next you switch the inequality because you multiplied by a negative:

x<-15

what is a cereal box an example of

Answers

Answer:

book

Step-by-step explanation:

it has a title,subheading,and more

Answer:

a rectangular prism

Step-by-step explanation:

The number 3.07 × 10 -4 written in standard form is _____.

300,700
0.00307
30,700
0.000307

Answers

Answer:

0.000307

Step-by-step explanation:there will be no explaintion but it should be correct

Answer:

it should be 0.000307

Step-by-step explanation:

What is the LCD of 2
−1
and 3
+1
?

Answers

Answer:

Step-by-step explanation:

What is the least common denominator of 1/3 and 1 2?

The denominator of the largest piece that covers both fractions is the least common denominator (LCD) of the two fractions. So, the least common denominator of 12 and 13 is 6 .

Help pls this assignment has to be turned in by today

Answers

Answer:

v = 21

Step-by-step explanation:

the sum of the interior angles of a triangle is 180 degrees

add all 3 angle measures and set equal to 180:  

4v + 2v + 54 = 180

6v = 126

v = 21

Factor: r^2 + 3r + 2

Answers

Answer:

(r+1)(r+2)

Step-by-step explanation:

7. What number multiplied by 2/3 has a product
of 1? (Example 2)

Answers

Answer:

4/6 is the answer due to the way it is set up within the fraction

Write down the value of the 3 in 3807 in figures

Answers

Answer:

3000

Step-by-step explanation:

3 thousands(•‿•)◉‿◉

what is 150 % of 32 ?

i already know that it’s 48, i just really need to know how “i” got it.

Answers

Answer:  48

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

Explanation:

The keyword "of" means multiply

150% converts to the decimal form 1.5; you move the decimal point two spots to the left to go from percent form to decimal form

Putting those two facts together lead to...

150% of 32 = 1.5*32 = 48

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

Another approach:

x% = x/100

150% = 150/100 = 1.5

150% of 32 = 1.5*32 = 48

The last step is identical as before, but the conversion of 150% is slightly different this time.

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

Yet another approach:

100% of anything is itself

So 100% of 32 is 32

The extra 50% means we take half of 32 to get 16. Then we add that onto the 32 to get 16+32 = 48

Answer please: Hector bought 45 tiles to make a patio. How many different ways can he arrange the tiles to make the patio?

Answers

Answer:

i belive it is 19

Step-by-step explanation:

i hope this helps

Karl drove 619.5 miles. For each gallon of gas, the car can travel 41 miles. What is a reasonable estimate of the number of gallons of gas Karl used?Select all that apply.

Answers

Answer:

15

Step-by-step explanation:

Calculation for What is a reasonable estimate of the number of gallons of gas Karl used

Estimated number of gallons used=619.5 miles/41 miles

Estimated number of gallons used=15

Therefore the reasonable estimate of the number of gallons of gas Karl used is 15

20 points and Brainliest to fastest correct answer!!
In ΔNOP, o = 8.8 cm, n = 3 cm and ∠N=70°. Find all possible values of ∠O, to the nearest 10th of a degree.

Answers

Step-by-step explanation:

Can a right triangle be formed using these squares?
25, 144, 169

Answers

Answer:

Yes

Step-by-step explanation:

The two smaller squares have a sum of 169 which is the value of the larger square.

a^2 + b^2 = c^2

25 + 144 = 169

It can be done. Notice the figure below shows you how to arrange the squares to give the answer of a^2 + b^2 = c^2

Answer:

Yes, if we take the square roots of 25, 144 and 169 (5, 12, 13)

Not by using those measures as is (sides of a triangle with 25, 144 and 169).

Explanation:

A right triangle is a triangle with an angle of 90 degrees, and the side facing that angle of 90 degrees is called an hypotenuse.

The hypotenuse measurement squared is equal to the squared measurements of the other two sides:

c² = a² + b²

And those squares do verify the equation:

169 = 144 + 25

So, that's a rectangle (right) triangle, with sides measuring 5, 12 and 13.

Hope this helps :)

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