A room is thrice as long as the breadth. It contains 270m^3 of air and the cost of painting its four walls at Rs 15 per m^2 is Rs. 3600, find the cost of carpeting the floor at Rs. 98 per m^2.

Answers

Answer 1

Answer: ₹2646

Step-by-step explanation:

Given

The volume of the room is [tex]V=270\ m^3[/tex]

cost of painting the walls is ₹[tex]3600[/tex] at the rate of [tex]15\ m^2[/tex]

So, the area of walls is

[tex]\Rightarrow A=\dfrac{3600}{15}\\\\\Rightarrow A=240\ m^2[/tex]

This the area of 4 walls i.e.

[tex]\Rightarrow 240=2[hl+hb]\\\Rightarrow 120=h[l+b]\\\Rightarrow 120=4bh\quad [\text{length is thrice of width}]\\\Rightarrow 30=bh\qua \ldots(i)[/tex]

The volume of the room is given by

[tex]V=l\times b\times h\\270=3b\times b\times h\\90=hb^2\quad \ldots(ii)[/tex]

Divide (i) and (ii)

[tex]\Rightarrow \dfrac{90}{30}=\dfrac{b^2h}{bh}\\\\\Rightarrow b=3\ m[/tex]

So, the length of the room is

[tex]l=3b\\l=3\times 3\\l=9\ m[/tex]

The area of the floor is

[tex]\Rightarrow A_o=l\times b\\\Rightarrow A_o=9\times 3\\\Rightarrow A_o=27\ m^2[/tex]

The cost of flooring is

[tex]\Rightarrow 27\times 98\\\Rightarrow Rs.2646[/tex]


Related Questions

1
What is the solution to the equation 4
1 7 1
8 8*3*?
X=-5
X=-4
X=4
x=5

Answers

Answer:

im sorry

Step-by-step explanation:

i need points or else i fail

A particular bacteria doubles in area on a petri dish every day, and on the first day the bacteria covers 3 mm2. Would this story represent exponential growth or exponential decay?​

Answers

Answer:

exponential growth

Step-by-step explanation:

Many schools have a regular outdoor school one day a week.
At Mosby, they often walk 125 meters from the school to the mountain top Jonsberget (140 masl) which is located directly behind the school.
How high is the school above sea level?

Answers

Answer:

The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.

Step-by-step explanation:

A polynomial has zeros x = 2, x = 0, X = 1, X = 2
What is the polynomial in factored form?
A) f(x) = x(x - 2)(x + 1)(x + 2)
B) f(x) = x(x + 2)(x-1)(x + 2)
C) f(x) = x2(x + 2)(x - 1)(x - 2)
D) f(x) = x(x + 2)(x - 1)(x - 2)

Answers

Answer:

f(x)= x(x+2)(x-1)(x-2)

Step-by-step explanation:

before taking the zeros each zeros were in the forrm

x+a=0 where 'a' is any number

then after taking the zeros, the zeros were in the form x=0 x=2 x=1

so we are gonna take then back to the form before taking the zeros


Find the rate of change from the table.

Answers

Answer:   15

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

We're asked to find the slope:

m = slope

m = (y2-y1)/(x2-x1)

m = (50-20)/(4-2)

m = 30/2

m = 15

The rate of change is 15. Each time x goes up by 1, y increases by 15.

slope = rise/run = 15/1

rise = 15, run = 1

I used the middle two columns of the table, but you could use any two columns you want. I subtracted the y values together to get the change in y, which is the rise. The change in x, aka run, is the difference in x values. You must subtract the values in the same order. If done in the wrong order, you might get -15 as the incorrect answer.

Dennis has a credit card with an APR of 13.09% and a billing cycle of 30 days. The following table shows his transactions with that credit card in the month of November.

If the finance charge for November is $4.93, which method of calculating the finance charge does Dennis’s credit card company use?

Answers

Answer:

previous questions have been asked using this same question

Step-by-step explanation:

A.) adjusted balance method

GOD BLESS/GEOMETRY/HELP PLS
10 POINTS— WHATS THE AREA??

Answers

Answer:

912

Step-by-step explanation:

Answer:

[tex]Perimeter = 124m\\\\Length = 38m\\\\Perimeter = 2(length + breadth)\\\\124 = 2( 38 + breadth)\\\\62 = 38 + breadth\\\\breadth = 24m\\\\Area = length \times breadth = 38 \times 24 = 912m^2[/tex]

A scuba diver dove 313 feet below sea level then rose 26 feet?

Answers

Answer:

I think the answer would be 287?

Step-by-step explanation:

287 is the answer

313 - 26 = 287

Please help me and show working. I have a test very soon.

Answers

Answer:

c = 3

Step-by-step explanation:

Given

[tex]\frac{2}{c-2}[/tex] - [tex]\frac{3}{c+2}[/tex] = [tex]\frac{7}{c^2-4}[/tex] ← factor the difference of squares

[tex]\frac{2}{c-2}[/tex] - [tex]\frac{3}{c+2}[/tex] = [tex]\frac{7}{(c-2)(c+2)}[/tex]

Multiply through by (c - 2)(c + 2) to clear the fractions

2(c + 2) - 3(c - 2) = 7 ← distribute and simplify left side

2c + 4 - 3c + 6 = 7

- c + 10 = 7 ( subtract 10 from both sides )

- c = - 3 ( multiply both sides by - 1 )

c = 3

Write in index form
9 x 9 x 4 x 4 x 4 x 9 x 9 x 9

Answers

Answer:

9^5×4^3

Step-by-step explanation:

9 has to multiply itself 5 times and 4 has to multiply itself 3 times

Answer:

[tex]9^{5}[/tex] × 4³

Step-by-step explanation:

9 is multiplied by itself 5 times and 4 is multiplied by itself 3 times.

This is expressed in index form as

[tex]9^{5}[/tex] × 4³

Someone please help I’ll give brainliest!!!!

Answers

Answer:

move the line up one

Step-by-step explanation:

You have 30 minutes to exercise at the gym. The Stairmaster burns 7 calories per minute, while the stationary bike burns 12 calories per minute. You want to burn 290 calories total using both machines. How much time should you spend on each machine?

Answers

Answer:

14 min on Stairmaster

16 min on Bike

Step-by-step explanation:

s = time on Stairmaster

b = time on bike

System of Equations:

s + b = 30

7s + 12b = 290

let 's' = 30-b

Substitution Method:

7(30-b) + 12b = 290

210 - 7b + 12b = 290

5b + 210 = 290

5b = 80

b = 16

s + 16 = 30

s = 14

In trapezold ABCD, point D has coordinates D(1,3). If the trapezoid is translated
2 units left and 5 units down, what are the coordinates of D'?

Answers

Answer:

D’(-1,-2)

Step-by-step explanation:

Left = x -2 = 1-2 = -1

down = y-5 = 3-5 = -2

If the mass of a metal bar which is 3.25 m long is 15 kg. Find its mass per meter

Answers

Step-by-step explanation:

If 3.25m is equal to 15kg then what about 1m?

3.25m = 15kg

1m =?

Then by cross multiplication we get 4.615 kg

Henry's Pizza sells pizza by the slice for lunch. An employee recorded how many slices of each type of pizza were sold today.
onion 4
pepperoni 36
cheese 20
supreme 6
veggie 16
What is the experimental probability that the first slice sold during lunch tomorrow will be a slice of cheese pizza?

Answers

24% (24/100)

Got answer by adding all of them together and dividing by 20

Answer:

10/41

Step-by-step explanation:

algebra 1 help!!!!!!!!!

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of expo functions.

f(x) = -8(2)^x - 12 ,

for f(0) ,here substitute x = 0

so we get as ,

==> f(0) = -8(2)^0 -12

==> f(0) = -8-12

==> f(0) = -20

hence, f(0) = -20

Answer:

Step-by-step explanation:

If it went from f(x) ⟹ f(0), that means that x=0.

So, you would plug in 0 for x in f(x)=-8(2)^x-12.

After plugging in the value of x, x=0, into the equation, you should have

f(0)=8(2)^0-12

Now, we are solving for f(0) (or f(x)).

You would use PEMDAS to solve this:

P-PARENTHESIS

E-EXPONENT

M-MULTIPLICATION

D-DIVISION

A-ADDITION

S-SUBTRACTION

There are no parenthesis

there are exponents,

(2)^0 and that =1

so we have f(0)=8(1)-12

there is multiplication, 8(1) which =8

so now we have f(0)=8-12

there is no division

there is subtraction

8-12, which equals -4

f(0)=-4

What is the equation, in standard form, of a circle with center (−5, 8) and radius 5?

Enter your answer by filling in the boxes.

Answers

Answer:

( x + 5 )² + ( y - 8 )² = 25

Step-by-step explanation:

Standard form for the equation of a circle - ( x - h )² + ( y - k )² = r²

Where r = radius and Center is located at ( h , k )

We are given that the center is at ( -5 , 8 )

Thus, h = -5 and k = 8

We are also given that the radius = 5

Thus, r = 5

Now we just plug all of the given values into the standard form equation

( x - (-5))² + ( y - 8 )² = 5²

*simplify*

in - ( - 5 ) the two negative sign cancel out and it turns into + 5

5² = 25

Thus, the equation is ( x + 5 )² + ( y - 8 )² = 25

A type of fish for your aquarium costs ​$8 each. You can spend at most ​$48. How many of these fish can you​ buy? Write an inequality to model the problem. Then solve the inequality to find the number of fish.

Answers

Answer:

x ≤ 6

Step-by-step explanation:

Cost of fish = $8

You can spend at most ​$48

How many of these fish can you​ buy?

Let

x = number of fishes you can buy

The inequality is

8x ≤ 48

Divide both sides by 8

x ≤ 48/8

x ≤ 6

If there are 4 outcomes, what is the
probability that I get tails then tails?

Answers

Answer:

50%

Step-by-step explanation:

because it is a two side coin

What is 10x5721? This is for my math homework.

Answers

Answer: Seriously? It’s 57210

Step-by-step explanation:

Answer:

on the contray please help me with one of the questions idc which one

Step-by-step explanation:

answer is 57210

Ned and Jack are each saving money for a new smartphone. Ned initially has $65 and plans to save $5.50 per week. Jack does not have any money saved yet, but he plans to save $8.75 per week. Let x=# weeks and y=amount of money saved.

Answers

Answer:

I'm not sure exactly what you're looking but I would set up the equation like this.

y=65+5.5x   for Ned's equation

y=8.75x       for Jack's equation.

Step-by-step explanation:

This is in y=mx+b format, hopefully it helps!

I need help!!! 20 points!!!

Answers

Answer:

h= 33mm

volume of square pyramid =1/3 Sh

5 x 5=25 /3 =8.3

275/8.3 =33

What is the median number of TVs in Mrs. Jamison's Class?

Answers

Answer:

its the 4 on the number line under her name

please help me please ​

Answers

The answer is a thanks

If the length between points on a map is 6 inches, 8 inches, and 9 inches, and the scale is one inch equals 5 miles, find
the distances in miles
12.16 and 18 miles
11, 13 and 14 miles
30,40 and 45 miles

Answers

Given:

The length between points on a map is 6 inches, 8 inches, and 9 inches.

The scale is one inch equals 5 miles.

To find:

The distances in miles.

Solution:

The given scale is:

1 inch = 5 miles

Using this scale, we get

6 inches = 6 × 5 miles

               = 30 miles

8 inches = 8 × 5 miles

               = 40 miles

9 inches = 9 × 5 miles

               = 45 miles

The distance is miles are 30, 40, 45 miles.

Therefore, the correct option is C.

HELLP PLZ ZZZZZZ FOR MY HOMEWORK......

Answers

Answer:

4 books

Step-by-step explanation:

$3.80 divided by 95cents = 4

Answer: 4


Step by step explanation: 3.80 divided by 0.95=4

Brainliest? Lol

A cable that is 45 feet long is attached to the top of a vertical pole. The cable is anchored to the ground 36 feet from the base of the pole . How tall is the pole? Round your answer to the nearest hundredth .

Answers

Answer:

27

Step-by-step explanation:

jessie will pack a suitcase with books. The total weight of the suitcase and books can be no more than 50 pounds. The empty suitcase weighs 5.7 pounds. Each book weighs 2.4 pounds.

Answers

Answer:

20 is the answer

Step-by-step explanation:

If you multiply 2.4 enough times until you hit 50 it’s 20x2.4 bc 2.4x21 is 50.4 a little over

EASY MATH PLEASE HELP! NO LINKS! NEED COMPLETE EXPLAINATION WITH ANSWER!!

Answers

Answer: a.) 18 x 8

Step-by-step explanation: if you break down the equation 6^3= 18 and 4^2=8 then take 18x8 simple as that

a 420$ dressed is 20% off, how much is the sales price?

Answers

Answer:

$336

Step-by-step explanation:

420 x 0.2 = 84

420 - 84 = 336

Answer:

the answer is going to be $336

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