Suppose carpet for a 12ft by 14ft room costs $400 find the cost to carpet a room 48ft by 56ft

Answers

Answer 1

Answer:

[tex]\$\ 6400[/tex]

Step-by-step explanation:

1. Approach

The easiest way to solve this problem is to find the area of the first room with the dimensions of (12ft) by (14ft). Then one will divide the cost of carpeting the room by the area of the room, this will yield the price of carpeting per square foot. After finding the price of carpeting per square foot, one will find the area of the second room, with the dimensions of (48ft) by (56ft). Finally, one will multiply the price per square foot of carpeting by the area of the second room to find the price for carpeting the second room.

2. Find the area of the first room

Assume that the first room is a rectangle. the following formula can be used to find the area of a rectangle,

[tex](length)(width)=Area[/tex]

The following are the dimensions of the given room,

[tex]length = 14\\width = 12[/tex]

Substitute into the formula to find the area and simplify to solve,

[tex](length)(width)=Area[/tex]

[tex](14)(12)=Area_1[/tex]

[tex]168=Area_1[/tex]

3. Find the price of carpeting per square foot

To find the price of carpeting per square foot, divide the total price for carpeting the first room by the area of the first room.

[tex]\frac{carpeting\ price_1}{area_1}[/tex]

[tex]=\frac{400}{168}[/tex]

Simplify,

[tex]=\frac{400}{168}[/tex]

[tex]=\frac{50}{21}[/tex]

4. FInd the area of the second room

Assume that the second room is also a rectangle. Use a similar strategy to find the area of this room as used for the area of the first room.

[tex](length)(width)=Area[/tex]

[tex]length = 48\\width = 56[/tex]

Substitute and simplify to sovle,

[tex](length)(width)=Area[/tex]

[tex](48)(56)=Area_2[/tex]

[tex]2688=Area_2[/tex]

5. Find the price for carpeting the room

Multiply the area of the room by the price for carpeting per square foot to find the price for carpeting the second room.

[tex](Area_2)*(carpeting\ price)[/tex]

[tex]2688=Area_2[/tex]

[tex]\frac{50}{21}=carpeting\ price[/tex]

[tex](Area_2)*(carpeting\ price)[/tex]

[tex]=(2688)*(\frac{50}{21})[/tex]

Simplify to solve,

[tex]=(2688)*(\frac{50}{21})[/tex]

[tex]=(2688)*(\frac{50}{21})[/tex]

[tex]=6400[/tex]


Related Questions

HELP PLS!! D:
The net of a rectangular prism is shown below. What is the total surface area of this prism?

A. 112 cm²
B. 142 cm²
C. 105 cm²
D. 71 cm²

Answers

Answer:   142 cm^2  (choice B)

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

Explanation:

Think of unwrapping a present and doing so without any unnecessary tearing. That means there aren't any little small pieces thrown away. There are many ways to unwrap a 3D box, and this diagram shows one of many ways. This flat layout is the 2D version of the 3D surfaces.

To find the surface area of the 3D figure, we simply need to find the area of each rectangle in this 2D flat net. Once we know all the little areas, we add them up to get the surface area.

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

The lowest rectangle is 3 cm by 5 cm, so its area is 3*5 = 15 cm^2. Let A = 15 so we can use it later.

Let's move to the middle row of four rectangles. From left to right, we have these four rectangular areas

3*7 = 21 cm^25*7 = 35 cm^23*7 = 21 cm^25*7 = 35 cm^2

I'll call these results B,C,D,E in the order given above. So B = 21, C = 35, etc.

The rectangle up top has area of 3*5 = 15 cm^2. I'll let F = 15

Lastly, we'll add up the sub-areas to get the grand total

A+B+C+D+E+F = 15+21+35+21+35+15 = 142 cm^2 is the surface area

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

Another pathway to the answer:

If you can picture how this flat diagram would fold up, then you would see that we'd get a 3D block with the following dimensions

L = 7 cmW = 5 cmH = 3 cm

The order of L,W,H doesn't really matter.

Then we can use the 3D block surface area formula like so

SA = 2*(LW + LH + WH)

SA = 2*(7*5 + 7*3 + 5*3)

SA = 2*(35 + 21 + 15)

SA = 2*71

SA = 142 cm^2 is the surface area

As you can see from the third step, we have "35", "21" and "15" show up again. The 2 out front is because we have 2 copies of each item mentioned.

= Introduction to elapsed time Keiko started washing at 7:28 AM and finished at 8:46 AM. How long did it take her? Give your answer in hours and minutes. min X Х o ?​

Answers

Answer:

Step-by-step explanation:

At 8:28 exactly one hour had gone by.

To get to 8:46 you need to add on almost 20 minutes. which would bring it up to 8:48. Since you are 2 minutes short from :46 to :48, the correct number of minutes is 18  (48 - 2)

Answer: 1 hour and 18 minutes.

MaryAnne has 90 quilt squares. She plans to use 32 of them to make a quilt. What percent of her quilt square stock is she using? List your answer as a percent rounded to the nearest tenth.

Answers

Percentage = ( number used / total number) x 100

32/90 = 0.3555

0.3555 x 100 = 35.56%

Rounded to nearest tenth = 35.6%

Mary Anne is using about 35.6% of her quilt squares stock.

What is percent?

A percent is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.

Percent Formula

Percentage  = (Value/Total value) × 100.

According to the given question.

Total number of quilt squares Mary Anne have = 90

Number of quilt squares Mary Anne is using = 32

Therefore,

The percent of her quilt square she is using

= [tex]\frac{32}{90} \times 100[/tex]

[tex]= 0.3555\times 100[/tex]

[tex]= 35.6[/tex] %

Hence, Mary Anne is using about 35.6% of her quilt squares stock.

Find put more information about percent here:

https://brainly.com/question/14699403

#SPJ3

What is 1.7¯ expressed as a fraction in simplest form?

Answers

16/9.................

Answer:

16/9

Step-by-step explanation:

Elementary algebra 1/4 divided by 3 equals

Answers

Answer:

1/12

Step-by-step explanation:

multiply by three so 4x3 is 12 and that's 3 equal parts

brainliest to correct answer, please hurry

Answers

Start at 3, subtract 5 and you get -2

What is 50 divided by 8?

Answers

Answer:

6.25 or 6 2/8 or 6 R2

Step-by-step explanation:

Find the y-intercept and x-intercept of the line. 5x-8y=14

Answers

Answer:

x-intercept = 14/5

y-intercept = 7/4

Step-by-step explanation:

To find the value of an intercept (x/y) of an equation like this, simply set the other variable to 0 and divide both sides by the coefficient of the variable you're trying to find.

When x=0
5(0)-8y=14
-8y=14
Y=-2
So y intercept= -2

When y=0
5x-8(0)=14
5x=14
X=5/14 or 0.36
So x-intercept = 5/14

Round 123,949 to the underlined point. 4 is highlighted

Answers

[tex]\\ \sf\longmapsto 123,949[/tex]

9 is greater than 5

[tex]\\ \sf\longmapsto 123,95[/tex]

5=5

[tex]\\ \sf\longmapsto 123,9[/tex]

9 is greater than 5

[tex]\\ \sf\longmapsto 124[/tex]

4 is less than 5

[tex]\\ \sf\longmapsto 12[/tex]

2 is less than 5

[tex]\\ \sf\longmapsto 1[/tex]

Note

Write the number until underlined point.I did it till end

Answer:

The number is 123949 (or 123.949 in case comma stands for decimal)

According the rounding rule

if the number to the right is ≥ 5, round up the number to the left, otherwise leave as is, if decimal the number to the right drops, if whole number it is replaced with zero

Round to the number 4, the second number from the right:

123950

or

123.95

Solve (x - 2 < 5) ∩ (x + 7 > 6).

Ø
{x | x < -1 x < 7}
{x | -1 < x < 7}

Answers

x - 2 < 5   ⇒   x < 7

x + 7 > 6   ⇒   x > -1

Together, we have -1 < x < 7, which in set notation is

[tex]\left\{x \mid -1 < x < 7\right\}[/tex]

(third choice)

brainiest to whoever right

Answers

We can see : ST = SM + MT
= x + 12 + 8x - 2
= (x + 8x) + (12 - 2)
= 9x + 10
So ST = 9x + 10

Hope it helps! If it is, Brainliest please!

The velocity, V, of a specific object being dropped from a particular height, h, can be found by the radical function V = sqrt 2ha. Where A represents the acceleration in ft/sec2. If the acceleration due to gravity is 32.2 ft/sec2, at what height should you drop an object in order for it to have a velocity of 60 ft/sec?

0.9 feet
55.6 feet
55.9 feet
3,864 feet

Answers

Answer:

55.9 feet

Step-by-step explanation:

Basically you can just plug in what they give you

givens:

V=60 ft/sec

a= 32.2 ft/sec^2

function to find velocity: [tex]V=\sqrt{2ha[/tex]

if you plug everything in: [tex]60=\sqrt{2(h)(32.2)[/tex]

you can just put that equation into a website  and ask it to solve for h which would give you your answer

but, if you want the work,

FIRST square both sides of the equation to get rid of the square root symbol on the left so,

[tex]60^{2} =\sqrt{2(t)(32.2)} ^{2}[/tex]

which cancels out to

[tex]3600= 2(t)(32.2)[/tex]

NEXT:  divide both sides by 32.2 to get 2t by its self so,

[tex]\frac{3600}{32.2} =\frac{2(t)(32.2)}{32.2}[/tex]

which should get you to

[tex]111.80124223=2(t)[/tex]

LAST: divide both sides by 2 to get t by itself so

[tex]\frac{111.80124223}{2} =\frac{2(t)}{2}[/tex]

and you should end up with

55.900621 = t

which rounded would be an answer of

t= 55.9 feet

Answer:

YUP IT IS 55.9

Step-by-step explanation:

I don't got an explanation, but I can say that I got 100 on my quiz.

Ivan’s desserts made a batch of fresh scones with 4/5 of a pound of butter and 1/2 of a pound of sugar. How much more butter than sugar was used?

Answers

It should be about 3/10

Help please due today

Answers

Answer:

Base: 24 and height:6

Step-by-step explanation:

Answer:

Base: 24

Height: 6

Step-by-step explanation:

The question says a scale factor of 1/2 so divide by 2. It says scale back

so you know as well that your answer is going to get bigger.

Original Base = 48/2 or (48)x(1/2)

Original Height = 12/2 or (12)x(1/2)

What is the answer to |-2|+|-3|

Answers

Answer:

5

Step-by-step explanation:

the absolute value of -2 is 2

the absolute value of -3 is 3.

Since the question is adding the absolute values, the answer is 5

Please help me with these questions if you have time

Answers

Answer:

Use the following formulas for the tables

Step-by-step explanation:

For the tables given bellow use these formulas for part 7 a and b

y2-y1 over x1-x1

that would give us the slope then plug that into y=mx+b

Answer:

7. a. y=5x+29

b. y=9x+4

l have answer question number 7a and 7b

Helpp
Ok I don’t know how they got 3y-24

Answers

Answer:

y = -5/3x + 3

Step-by-step explanation:

First lets turn the equation from standard form to slope intercept form.

3x - 5y = 1

~Subtract 3x to both sides

-5y = 1 - 3x

~Divide -5 to everything

y = -1/5 + 3/5x

~Reorder

y = 3/5x - 1/5

Now that we have the equation in slope intercept form, we can find the new equation. A perpendicular line will have the opposite reciprocal of the original slope.

3/5x -> -5/3x

Now that we have the slope, we can use the given point to find the y-intercept.

y = -5/3x + b

8 = -5/3(-3) + b

8 = 5 + b

3 = b

Put all the information we solved for into a final equation.

y = -5/3x + 3

Best of Luck!

3√12•√6

please show a step by step explanation ​

Answers

Answer:  [tex]18\sqrt{2}\\\\[/tex]

This is the same as saying 18*sqrt(2) or you could say 18√2

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

Explanation:

We'll be using this square root rule: [tex]\sqrt{A}*\sqrt{B} = \sqrt{A*B}[/tex]

So we could have this as our steps:

[tex]3\sqrt{12}*\sqrt{6}\\\\3\sqrt{12*6} \ \text{ ... Apply the rule mentioned}\\\\3\sqrt{72}\\\\3\sqrt{36*2}\\\\3\sqrt{36}*\sqrt{2} \ \text{ ... Apply the rule again, but in reverse}\\\\3*6*\sqrt{2}\\\\18\sqrt{2}\\\\[/tex]

Therefore, [tex]3\sqrt{12}*\sqrt{6} = 18\sqrt{2}[/tex]

The basic idea is to first combine the roots using that rule. From there, we factor the radicand such that we pull out the largest perfect square factor. This will allow us to break the root apart and fully simplify it.

Is 4 or 3 bigger in a integer

Answers

Answer:

4 is bigger than 3

Step-by-step explanation:

4 is bigger than 3

But

-3 is bigger than - 4

a meayerologist at television station reported that a town received 0.90 inches of rain. Which fraction is equivalent to this amount of rain in inches?

Answers

Answer:

9/10

Step-by-step explanation:

0.90 = 0.9 = 90/100 = 9/10

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

1. If x = y and x + 2y = 6 then find value of 'y'.
T

Answers

Step-by-step explanation:

x=y

x+2y=6

y+2y=6

3y=6

y=2

Step-by-step explanation:

x=y

x+2y=6

y+2y=6

3y=6

y=2

supposed f(x) = 2x+5 what is the value of -2f(x+1)? PLEASE THIS IS THE LAST QUESTION ILL GIVE A BRAINLIEST

Answers

Answer:

-4x+1-10

Step-by-step explanation:

-2(2x+5)=0

-4x-10=0

-4x+1-10=0

-4x-9=0

-4x=9

x=9/-4

x=-2,25

please inform if wrong

Answer: -2f(x + 1) = -4x - 14

Explanation
f(x) = 2x + 5
f(x + 1) = 2x + 7
-2f(x + 1) = -2(2x + 7)
= -4x - 14

A man drove 13 miles directly east from his home, made a left turn at an intersection, and then traveled 9 miles due north to his place of work. If the road was made as described above, how much shorter would the man’s one-way trip be every day?

Answers

Answer:

ANSWER 5.3 miles

See IMAGE FOR SOLUTION

Ruben needs to read 4 novels each month let N be the number of novels Ruben needs to read in M months write an equation relating in to M

Answers

Answer:

Step-by-step explanation:

N = 4(12) = 48 novels

Sets question with option answers. Help please

Answers

Answer:

best bet is 6

Step-by-step explanation:

The graph of f(x) = 3x + 8 is shown.
Which statement is true?
ТУ
3
f(x)
O The function is only increasing when x2-8.
O The function is only increasing when x 20.
O The function is always decreasing.
O The function is always increasing.
-16
-12
8
X
-2
3

Answers

Answer:

the function is always increasing

Step-by-step explanation:

if you look at the graph, as x increases, y increases, no matter how small the increase

3 and (5 + 1 + 3)
What is the answer

Answers

Answer:

27

Step-by-step explanation:

3(5+1+3) distribute

15+ 3+ 9 add

27

Scores 18 20 16 13. Find this student's mean quiz score

Answers

Answer: 16.75

Step-by-step explanation:

Answer:

16.75

Step-by-step explanation:

To find the mean, add up all the number

18+20+16+13

67

Then divide by the number of quizzes

67/4

16.75

find out the things that can be purchased between rupees 500 to rupees 100 for your house ?

Answers

We can buy small vases,Flower pots for our houses.

[tex]\sf\orange{Hope \: it \: helps \: please \: mark \: me \: as \: brainliest!}[/tex]

(8)/(r+2)+(8)/(r-2)=3

Answers

Answer:

- 2/3, 6

Step-by-step explanation:

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