Answer:
Rs 2464
Step-by-step explanation:
Given:
The length of a room is 2 times its breadth and breadth is 2 times its height. The volume of the room is 512 cubic metre.To find:
The cost of plastering it's wall at Rs 5.50 per square metre.Solution : A/C to given data;
[tex]Length = 2 * Breadth\\L = 2 * B[/tex]---> (1) and [tex]Breadth = 2 * Height\\B = 2 * H[/tex]----> (2)
A/C to given data let, structure of room is cuboidal.
Now, we have to find out the height of the room, so we use formula of volume of the cuboid.
[tex]Volume of the room = L * B * H[from given data, and eq. {1} and eq. {2}][/tex]
[tex]512 = 2B * 2H * H[/tex]
[tex]512 = 2 * 2H * 2H * H[/tex]
[tex]512 = 4H * 2H^{2}[/tex]
[tex]512 = 8H^{3}[/tex]
[tex]H^{3} = \frac{512}{8}[/tex]
[tex]H^{3} = 64[/tex]
[tex]H = \sqrt[3]{64}[/tex]
[tex]H = 4 m[/tex]
[tex]Now, put\\ value\\ of \\H \\in \\eq. {2}[/tex]
[tex]B = 2 * H[/tex]
[tex]B = 2 * 4[/tex]
[tex]B = 8 m[/tex]
[tex]\\[/tex]Now, put value of B in eq. {1}
[tex]L = 2 * B[/tex]
[tex]L = 2 * 8[/tex]
[tex]L = 16 m[/tex]
Now, we have to find out area of the room, so we use formula of total surface area of cuboid.
[tex]Area of the room = 2*L*B + 2*L*H + 2*H*B[/tex]
[tex]Area of the room = 2 * 16 * 8 + 2 * 16 * 4 + 2 * 4 * 8[/tex]
[tex]Area of the room = 32 * 8 + 32 * 4 + 8 * 8[/tex]
[tex]Area of the room = 256 + 128 + 64[/tex]
[tex]Area of the room = 384 + 64[/tex]
[tex]Area of the room = 448 m^{2}[/tex]
Now, to find out room wall plastering cost
[tex]Room wall plastering cost = Area of the room * cost of plastering per ^{2}[/tex]
[tex]Room wall plastering cost = 448 * 5.50[/tex]
[tex]Room wall plastering cost = Rs 2464[/tex]
[tex]ence, the room wall plastering cost is Rs 2464.[/tex]
Complete the sentence with the correct word in
parentheses.
1- My friend's children have no
(manners / impression). When we were at a restaurant last
night, they were running around the restaurant and talking
loudly.
2- It was hard for Laxmi to make eye contact with his boss,
because in his country that does not show
(gesture / respect).
3- In the experiment, the researchers studied the
(behavior / activity) of the
children as they interacted with adults.
4- I try to
(interrupt / avoid) going
outside when it's very cold.
Answer:
1- manners
2-respect
3-behaviour
4-avoid
Answer:
1- manners
2- respect
3- behavior
4- avoid
There should be 2 answers
[tex]|6m-2|=0\\\\\implies 6m-2 =0~~~~~~~~~~~~~;[\text{If}~ |x| = 0 ~\text{then}~ x = 0]\\\\\implies m = \dfrac 26 = \dfrac 13[/tex]
Examine the equation and solution method shown below. Indentify the error and then solve the equation using a valid solution method.
1. Find and explain the error in the solution method.
2. Solve the equation 3(3x+6+x)=1 using a valid solution method.
3. Explain each step in your solution method. Why is your method valid?
Pls Help. 100 points
3 ( 3x + 6 + x ) = 1
Step 1, apply distributive method.
9x + 18 + 3x = 1
Step 2, simplify the following
12x + 18 = 1
Step 3, Change side
12x = -17
Final answer
x = -17/12
The error/mistake was in step 2 where [ 9x +3x = 12x ]
Recheck the answer
3 ( 3x + 6 + x ) = 1
3 ( 3(-17/12) + 6 + -17/12 ) = 1
1 = 1
Hence proved our solution is correct.
Answer:
Question 1
The error is in step 2. They have subtracted [tex]3x[/tex] from the left side of the equation, yet only subtracted 3 from the right side.
Questions 2 & 3
Solve:
[tex]3(3x + 6 + x) = 1[/tex]
Apply the distributive law [tex]a(b + c) = ab + ac[/tex] :
[tex]\implies 9x + 18 + 3x = 1[/tex]
Collect and combine like terms:
[tex]\implies 9x + 3x+ 18 = 1[/tex]
[tex]\implies 12x + 18 = 1[/tex]
Subtract 18 from both sides:
[tex]\implies 12x + 18 - 18 = 1 - 18[/tex]
[tex]\implies 12x = -17[/tex]
Divide both sides by 12:
[tex]\implies \dfrac{12x}{12}=-\dfrac{17}{12}[/tex]
[tex]\implies x=-\dfrac{17}{12}[/tex]
Jodi has a collection of 153 shells. She gives 39 shells to her sister Sherri. Then their mother gives each sister 28 shells.
Part A
How many shells does Sherri have now?
A.
28
B.
67
C.
142
D.
181
Part B
How many shells does Jodi have now?
A.
28
B.
67
C.
142
D.
181
Answer:
Part-A= C
Part-B= B
Step-by-step explanation:
153-39=114
114+28=142
39+28=67
Answer:
Part A is b and Part B is c good luck
Looking at the statement below, what is the current balance in the account if the beginning balance was $894.83?
Please help a bro out
Answer: $355.39
Step-by-step explanation: subtract 174.25,180.96,184.24 from 8194.84 =
A group of adults plus one child attend a movie at a movie theater. Tickets cost $9 for adults and $4 for children. The total cost for the movie is $85. Enter an equation to find the number of adults in the group. The equation + a = can help find out how many adults were in the group.
Answer:
There is 8 adults and 1 child
Step-by-step explanation:
$78 - $6 = $72
$72 divided by 9 = 8
you would add nine 8 times and add 6 to it then it would be $78
Hope this helps you! :)
List the following fractions from least to greatest 1/6 2/3 1/2 1/3
Answer:
1/6 < 1/3 < 1/2 < 2/3
Step-by-step explanation:
We can turn the following to decimal;
1/6 = 0.16666666666
2/3 = 0.66666666666
1/2 = 0.5
1/3 = 0.33333333333
0.16666666666 < 0.33333333333 < 0.5 < 0.66666666666
Thus, from least to greatest is 1/6 < 1/3 < 1/2 < 2/3
~Learn with Lenvy~
The movie theater sold 50 buckets of popcorn last Wednesday. 60 people watched movies that day, and 40 of those people ate popcorn. Do you see a fraction that you could use to create a division problem?
Answer:
70
Step-by-step explanation:
60/40Ⅹ50=70
I hope this helps
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Step-by-step explanation:
by using formula a+b+c=180
choco chip cookies cost $3.20 for the 15oz size . The 18oz size $3.75 Which is the better buy
Answer:
18 oz
Step-by-step explanation:
Choco Chip Cookies (15 oz): [tex]\frac{\$3.20}{15oz}=\frac{\$0.213}{oz}[/tex]
Choco Chip Cookies (18 oz): [tex]\frac{\$3.75}{18oz}=\frac{\$0.208}{oz}[/tex]
So, the 18oz package is the better buy by about [tex]\$0.005[/tex]
CAN SOMEBODY HELP ME SOLVE THIS EQUATION
PLEASE HELP ME WITH THIS !!
Answer: C
Step-by-step explanation:
When Flipped Down A is on the same point as D
Answer:
c
Step-by-step explanation:
because they are mirrored the only one that is equivilent is c
b doesnt corrospond to f it corrosponds to e
bc corrosponds to ef
ab corrosponds to ed.
Darya is a real estate broker with a house listing. She estimates that this listing will cost her $2300 for various expenses. If Darya sells the house within 6 months, she will receive a commission of $20,000. If it takes longer than 6 months, the listing will expire, and she'll lose the $2300 she spent on expenses. She estimates the probability that she'll sell the house within 6 months is 80%. Determine Darya's expectation for this listing.
Using a discrete distribution, it is found that Darya's expectation for this listing is of $13,700.
What is the mean of a discrete distribution?The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.
In this problem, considering the situation described in the text, the distribution is given by:
P(X = 17,700) = 0.8.P(X = -2,300) = 0.2.Hence, her expectation is given by:
E(X) = 0.8 x 17,700 - 0.2 x 2,300 = $13,700.
More can be learned about discrete distributions at https://brainly.com/question/24855677
A bedroom door in the house has the same dimension as the front door but the length is 30 inches rather than 36 inches how much greater is the volume of the front door than than the bedroom door
Answer:
6/5
Step-by-step explanation:
Calculate the volume by multiplying the measured length and width of the space together, then multiply the result by the height of the room. From the example, 10 * 25 feet = 250 square feet, and 5 * 10 feet = 50 square feet.
What is the sum of the interior angles of a regular polygon with 7 sides
Answer:
the answer is 900 degrees
Step-by-step explanation:
brainliest?
Answer:
900°
Step-by-step explanation:
sum of interior angles of n sides polygon=(n-2)×180
n=7
Hence sum of interior angles of 7 sided polygon=(7-2)×180
=5×180
=900°
Solve by completing the square
Answer:
The answer is (-6 + √41), (-6 – √41)
Step-by-step explanation:
We are given an equation
x² + 12x = 5Subtract 5 from both side we get,
x² + 12x – 5 = 5 – 5
x² + 12x – 5 = 0
we get the equation in the form of
ax² + bx + c = 0Here, a = 1, b = 12, c = (-5)
Now, Add and subtract (b/2a)² we get,
x² + 12x + (12/2)² – (12/2)² – 5 = 0
x² + 12x + (6)² – (6)² – 5 = 0
(x + 6)² – 36 – 5 = 0
(x + 6)² – 41 = 0
Now, add 41 both side we get,
(x + 6)² – 41 + 41 = 0 + 41
(x + 6)² = 41
√(x + 6)² = √41
x + 6 = ±√41
x = -6 + √41, -6 – √41
Thus, The roots of the equation is
(-6 + √41) and (-6 – √41).
-TheUnknownScientist 72
Can the sides of a triangle have lengths 2, 6, and 7?
Answer:
Yes
Step-by-step explanation:
The third largest side is 7 and the other two sides added are bigger than seven.
2 + 6 = 8
Is this answer accurate?
PLEASE HELP!!! I"LL MARK AS BRAINLIEST!!!A local water park has two types of season passes. Plan A costs a one-time fee of $139 for admission plus $8 for parking every trip. Plan B costs a one-time fee of $43 for parking plus $24 for admission every trip. How many visits must a person make for plan A and plan B to be equal in value?
Answer:
6 visits
Step-by-step explanation:
Plan A: 139+8x
Plan B: 43+24x
Set the equations equal to each other.
[tex]139 + 8x = 43 + 24x[/tex]
Subtract 43 from both sides.
[tex]96 + 8x = 24x[/tex]
Subtract 8x from both sides.
[tex]96 = 16x[/tex]
Divide both sides by 16.
[tex]x = 6[/tex]
what is 3.1 converted into a simplified fraction?
Answer:
31/10
Step-by-step explanation:
At the movie theatre , child admission is $ 6.40 and adult admission is $ 9.60 . On Monday , 153 tickets were sold for a total sales of $ 1270.40 . How many adult tickets were sold that day ?
Answer:
91 adult tickets
Step-by-step explanation:
Algebra is really useful here:
Let a = number of adult tickets sold and c = number of child tickets sold.
Thus, we can say that
a + c = 153 (number of tickets)
6.40c + 9.60a = 1270.4. (cost of all of the tickets)
Solving,
c = 153 - a
6.40(153 - a) + 9.60a = 1270.4
979.2 - 6.40a + 9.60a = 1270.4
3.20a = 291.2
a = 91
Landon is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if he spins a spinner with four equal-sized sections labeled Red, Green, Blue, Orange and spins a spinner with three equal-sized sections labeled Walk, Run, Stop?
The total number of ways this can be done is 144 ways
How to determine the number of outcomesGenerally, the total outcomes that are there when n objects are spinned is expressed as n!
n! = n(n-1)(n-2)!
If he spins a spinner with four equal-sized sections labeled Red, Green, Blue, Orange and three equal-sized sections labeled Walk, Run, Stop, the total outcome is expressed as:
Total outcome = 4! * 3!
Total outcome = 24*6
Total outcome = 144 ways
Hence the total number of ways this can be done is 144 ways
Learn more on combination here: https://brainly.com/question/11732255
A culture started with 3000 becteria. after 8 hours it grew to 3300 becteria. Predict how many bacteria will be present after 12 hours. Round your answer to the nearest whole number. p=ae^kt
Answer: I think 5000
Step-by-step explanation:
I’m probably completely wrong lol sorry
i need help finding x and y
Answer:
x is 5 and y is 6
Step-by-step explanation
we find 2/3 factors that equal 10. 2 and 3. the only other number that can be added that equals 10 is 5. i apply the same logic to y
Answer:
Y -- 6
X -- 5
Step-by-step explanation:
we first find y by finding the side that is the longest that is parallel to y (16) we also find that two sets of fives are also parallel to y and 16 as seen in the first screenshot. Then to find the missing value we will subtract the 5 two times from 16 to find y. 16 - 5 = 11 - 5 = 6.
we do the same thing to find x, (10 - 2 = 8) (8 - 3 = 5) X = 5
What expression is equivalent to 12x^4/4x^16 helpppp
Answer: 48x/64
Work (assuming ^ is multiplication):
12x^4/4x^16
12x ^ 4x = 48x
4 ^ 16 = 64
8) Evaluate this expression.
7.4 - (-3.7)
A) -3.7
B) 8.4
C) 11.1
D) 13.21
Answer:
C) 11.1
Step-by-step explanation:
7.4 -(-3.7)
- and - make +
7.4 + 3.7 = 11.1
can you write 2 expressions that will simplify to 6x-4y
Hello, the answer to your question is "Sure!"
These are the expressions:
12x-6x-9y+5y
Combine Like Terms:
6x-4y
Bingo! Now, one more:
Hmmm, let me think...
-18x+24x+16y-20y
Combine Like Terms:
6x-4y
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
:-)
12x12x77-38x 25 answer pls
Answer:
10138 is the answer to 12x12x77-38x 25
Step-by-step explanation:
I added these step by step 12x12 = 144 x 77 = 11088 -38x 25 10138
Easy math 3 pictures
Answer:
1. 52yard²
2. $54
3. 30.5
Step-by-step explanation:
1. area of square shape = lenght x breadth
= 4 * 4
= 16
area of rectangle shape = lenght x breadth
= 9 * 4 = 36
tatal area = 16 + 36
= 52yard²
2. let the cost = c
thus 9% * c = 4.86
c = 4.86 * 90%
c = $54
3.area of length traingle=1\2 *base * height
= 1\2 * 3 * 7
= 10.5
area of right quadrilateral= legnth*bredth
= 4 * 3
= 12
area of right traingle = 1\2 * base * height
= 1\2 * 4 * 4
= 8
total area of shape = 10.5+12+8
= 30.5
DO MARK BRAINLIEST
Answer:52 54 30.5
Step-by-step explanation:
proof for the extreme value theorem
Pablo had $319 in his savings account. He got $28 for helping a neighbor, and he saved all but $11 of it.
How much is in Pablo's savings account now?
A.
$330
B.
$336
C.
$347
D.
$358
Answer:
the correct answer is B. $336
Step-by-step explanation:
you first add 319 and 28. Then, you subtract the product with 11.
To be honest I think the answer is B