1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
viva [34]
3 years ago
6

Manav is painting a rectangular room and the dimensions of this room are given by x,y and z feet. Manav takes 8 hours to paint a

wall with dimensions x and z. He takes 4 hours to paint a wall with dimensions y and z and 12 hours to paint the ceiling which has dimensions x and y. Manav works at a constant rate. X=6, what is the volume of the room?
A.) 18 cubic feet
B.) 36 cubic feet
C.) 24 cubic feet
D.) 30 cubic feet
E.) 32 cubic feet
F.) 34 cubic feet
Mathematics
1 answer:
zhenek [66]3 years ago
7 0

Answer:

B) 36 cubic feet

Step-by-step explanation:

Dimensions of the room are x, y and z feet. It is given that x = 6 feet.

Manav took 8 hours to paint the wall with dimensions x and z.

This means, in 8 hours Manav painted area = xz = 6z

In 1 hour Manav painted area = \frac{6z}{8}

Manav took 4 hours to paint the wall with dimensions y and z.

This means, in 4 hours Manav painted area = yz

In 1 hour Manav painted area = \frac{yz}{4}

Manav took 12 hours to paint the ceiling with dimensions x and y.

This means, in 12 hours Manav painted area = xy = 6y

In 1 hour Manav painted the area = \frac{6y}{12}=\frac{y}{2}

Since, Manav works at constant rate, this means the worked done in 1 hour in all 3 cases would be the same. So we can write:

\frac{6z}{8}=\frac{yz}{4}=\frac{y}{2}

Using the first two equations, we get:

\frac{6z}{8}=\frac{yz}{4}\\\\ \frac{6}{8}=\frac{y}{4}\\\\ y=\frac{6}{8} \times 4\\\\ y = 3

Using the last two equations, we get:

\frac{yz}{4}=\frac{y}{2}\\\\ \frac{z}{4}=\frac{1}{2}\\\\z=2

So, we have the follwoing dimensions of the room:

x = 6 feet

y = 3 feet

z = 2 feet

So the volume of the room is =  6 x 3 x 2 = 36 cubic feet

You might be interested in
PLEASE HELP IVE BEEN WAITING FOR 2 HOURS
garik1379 [7]
Answer is C because it is proportion.
6 0
3 years ago
Read 2 more answers
Answers: <br> 3x + 26<br> 5x + 15<br> x + 30<br> 10x - 7<br> please answer fast!
pentagon [3]

Answer: I think it's A. 3x + 26 but im not completely sure

Step-by-step explanation:

5 0
3 years ago
Find the value of the variables​
Ierofanga [76]

Answer:

Your answer is.....

x= 10.58

y= 21.66

Mark it as brainlist answer . follow me for more answer.

Step-by-step explanation:

4 0
3 years ago
What is the solution to the equation -2(1+5a)=-6(a+3) ?
Lilit [14]


The solution is a=4

-2(1+5a)=-6(a+3)

-2-10a=-6a-18

+18              +18

16-10a=-6a

     +10a      +10a

16=4a

divide by 4

4=a


7 0
3 years ago
I really don’t get it!!
AleksAgata [21]

Answer:

The answer is b.

Step-by-step explanation:

Square root 124, you'll get 29.10, after that once you simplify it, you will get the answer and you will have to do the formula, a^2 + b^2 = c^2 since it is a triangle.

8 0
3 years ago
Read 2 more answers
Other questions:
  • How old am I if I’m 19 years old
    5·2 answers
  • Help pleaseeeeeeee its more than one answer =)
    12·1 answer
  • Is the quotient 2.7 divided by 3 greater or less than one
    10·2 answers
  • Please help! USE 3.14 as Pi please!
    6·1 answer
  • What is (7x1)+(4x1/10)+(6x1/1000) written as a decimal in standard form?
    12·1 answer
  • Solve the following system of equations by linear combination: 2d + e = 8 d – e = 4
    7·1 answer
  • What is the solution to this system of equations? 3x + y= 17 X + 2 y = 49 СА. It has no solution. OB. It has infinite solutions,
    9·1 answer
  • When the movies is half over , popcorn sells for half price. Full price popcorn is $3.50 and drinks are $1.35 . Determine the co
    12·1 answer
  • Multiple answers please help!!
    9·1 answer
  • Find the GCF of 40 and 63 using lists of factors
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!