3. A floor is 5 m long and 4 m wide. A square carpet of sides 3 m is laid on the floor. Find the area of the floor that is not carpeted.​

Answers

Answer 1

Answer:

Length of floor = 5 m and breadth of floor = 4 m

Area of floor = length x breadth

= 5 m x 4 m = 20 m.sq

Now, Side of square carpet = 3 m

Area of square carpet = side x side = 3 x 3 = 9 m.sq

Area of floor that is not carpeted = 20 m – 9 m = 11 m.sq

Answer 2

Answer:

[tex]11 {m}^{2} [/tex]

Step-by-step explanation:

First Condition:

Given ,

Length of a floor = 5 m

Width of the floor = 4 m

Therefore,

Area of the floor

= l × b

= 5m × 4m

[tex] = 20 {m}^{2} [/tex]

Second Condition:

Given,

Sides of a square carpet = 3 m

Therefore,

Area of the carpet

= s × s

= 3m × 3m

[tex] = {9m}^{2} [/tex]

At last:

Now,

Area of the floor that is not carpeted is

= Area of the floor - Area of the carpet

[tex] = {20m}^{2} - {9m}^{2} [/tex]

[tex] = 11 {m}^{2} (ans)[/tex]


Related Questions

find the 6th term of geometric sequence whose common ratio is 3/2 and whose first term is 2

Answers

Answer:

243/16

Step-by-step explanation:

we have a1 = 2

r = 3/2

n = 6

The 6th term of the geometric sequence is 243/16

The given parameters are:

[tex]a = 2[/tex] --- the first term

[tex]r = 3/2[/tex] --- the common ratio

The nth term of a geometric sequence is:

[tex]T_n = ar^{n-1[/tex]

So, the 6th term would be:

[tex]T_6 = 2 \times (3/2)^{6-1[/tex]

Subtract 1 from 6

[tex]T_6 = 2 \times (3/2)^5[/tex]

Evaluate the exponent

[tex]T_6 = 2 \times (243/32)[/tex]

Simplify

[tex]T_6 = 243/16[/tex]

Hence, the 6th term of the geometric sequence is 243/16

Read more about geometric sequence at:

https://brainly.com/question/1509142

I need help with this, it's due today. *i'll give brainliest if you answer all of them*

Answers

Answer:

1. x = 13

2. a = 15

3. y = 3

4. g = -24

5. z = 5.57

6. h = 7.5

7. b = 5.8

8. w = -4.5

13. 29 chapters

14. 23.7 pounds

Step-by-step explanation:

hope this helps! :D

What is the point slope and slope intercept of this graph below

Answers

Answer:

Line is y = -3x + 3

Slope = -3

y-intercept = 3

Step-by-step explanation:

Slope is the movement up or down, and left or right. Y-intercept is the point in which the line crosses the y-axis. In slope-intercept form (y=mx+b), m represents the slope, while b represents the y-intercept.

So since the line crosses the y-axis at positive 3, that will be the y-intercept. Now if we go from that very same point, and do rise/run, we'd move downwards 3 units and to the right 1 unit, to get our slope of -3/1 (it's written as just -3 though).

So now we plug it in: y = -3x + 3

Hope this helps you :)

helpppppp mememeememememememememeemem

Answers

Answer:

Step-by-step explanation:

1.

area of triangle=1/2×12×5=30 in²

2.

obtuse scalene triangle.

Answer:

Step-by-step explanation:

1/2×12×5=30 in²

obtuse scalene triangle

Find the perimeter. Simplify your answer.

Answers

Answer:

3z+13

Step-by-step explanation:

Perimeter is found by adding all the sides

z+2+z+2+z+9

3 z variables  2+2+9=13

Simplified equals

3z+13

Hope this helps!

Please mark this answer as brainiest :)

Answer:

Step-by-step explanation:

z+2 + z + 2 + z + 9 = Perimeter               Collect like terms

3z + 13 = Perimeter

quotient rule

fill in the blank


to divide two powers with the same base, ___ the exponent of the ______ from the exponent of the ______ and keep the same base

Answers

Answer:

add

subtract

multiply

Step-by-step explanation:

Help please.

A canine's body temperature is considered to be normal if it is 101 degrees Fahrenheit with an absolute deviation of 1.5 degrees Fahrenheit.
A. write an absolute value inequality that represents the normal temperature range. B.solve the inequality. what is the normal temperature range?

Answers

Answer: 101°F

Step-by-step explanation: A canine's body temperature is considered to be normal if it is 101°F with an absolute deviation of 1.5°F. a) Write an absolute value inequality

divide £64 in the ratio 3:5

Answers

Answer:

64/1 . 5/3

320/3

106.666666?

Answer:

£24 and £40

Step-by-step explanation:

To divide into the ratio of 3:5, we can start by dividing into 8 parts - as 3+5=8, then do 3 parts and 5 parts to achieve the ratio.

£64 / 8 = £8

3 * £8 = £24

5 * £8 = £40

Mountain ranges often appear on the edges of continents. What theory does this support?

Mountains were formed when Earth’s crust cooled and Earth shrank.
Mountain ranges were formed when continents collided.
Mountain ranges did not exist millions of years ago.
Mountain ranges were formed only by glaciers.

Answers

Answer: Its B!

Step-by-step explanation:

i just got it right :)

Answer: b. Mountain ranges were formed when continents collided.

Step-by-step explanation:

Describe how the graph of y= 2x is the same and different from the graph of y=2x+8

Answers

Answer:

They are the same because they have the same slope, 2. and they are different because they different y-intercepts, 0 and 8.

Step-by-step explanation:

Your equations y=mx+b

m is your slope, both 2 and

b is your y-intercept, 0 for your first one because it doesn't have any, and 8 for your second one.

I need help i have no clue what to do!

Answers

Answer:

-2x-6y= -14 (i)

-6x-2y= -26 (ii)

Multiply eq (i) by 3

-6x-18y= -42 (iii)

-6x-2y= -26 (ii)

Subtract eq (iii) from ii

-6x -18y = -42

+6x+2y = +26

_______________

0 - 16y = -16

●y= 1

Put y =1 in eq 1

-2x -6 (1) = -14

-2x = -14 + 6

-2x = -8

●x =4

x=4 y=1

BRAINLIST PLS

I need help with both A and B please I will give brainliest

Answers

Answer:

You have A correct and I think B, is the second one

Step-by-step explanation:

You already have A correct as I solved the problem quickly (if you want a explanation I can give one) then the second one for B makes sense as it explains the same problem that was correct on question A. If you want more of a explanation I can give one

There are 377 toys that Janet collected at the carnival. She wants to put them in 12 bags. After she splits them into bags, how many toys does she have left to give to her little brother?

Answers

Answer:

D. 31 toys

Step-by-step explanation:

377   ÷   12 =

31.41666666666667

given:

377 toys

12 bags

to find:

how many toys she'll have left to give her little brother.

solution:

[tex] \frac{377}{12} [/tex]

[tex] = 31.4166666667[/tex]

[tex]nearest \: whole \: number = 31[/tex]

hence, she'll have 31 toys left to give her little brother.

answer= option D

Help pls ?? I just need this one question ):

Answers

Answer:

9 should be the greatest common factor. (I think) because 3b² =9b

12b⁴=48b

Answer:

3*(4b^4-b^2)

Step-by-step explanation:

you are looking for the greatest number who can be divided by the number(3) and the other number(12) , the greates common factor here is 3

and then take out the 3

so 3*(4b^4-b^2)

need help with homework please help asp

Answers

Answer:

The answer for this particular question is (5,-8)

A non-proportional timetion is represented by y-2x.
7 which table represents this function?
с
3
4.
A
13
15
17
9
12
16
4
79
15
D
B
im
4
3
2
9
23
30
13
4.

Answers

Answer:

The numbers appear random.  Are there two columns?  I can't decipher the list.  

Step-by-step explanation:

Plot the function and see if any of the points fall on the line.  See attachment.

Is the function y-2x = 7  ??  { I see y-2x.7}

y = 2x + 7

Write an equation for the line in the given form.

Contains the points (5, 2) and (8, 11); slope-intercept form

Answers

Answer:

y = 3x-13

Step-by-step explanation:

First find the slope

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

   = ( 11-2)/(8-5)

    = 9/3

    =3

Then using slope intercept form

y= mx+b

Using one of the points and the slope

2 = 3(5) +b

2 = 15 +b

2-15 = b

-13 =b

y = 3x-13

What is an equation of the line that passes through the points (-6, -2) and
(-3, 2)?

Answers

Answer:

y = (4/3)x - 2/3

Step-by-step explanation:

From (-6, -2) to (-3, 2) we see the x-component changing by 3 units and the y-component by 4 units.  Thus, the slope of this new line is

m = rise / run = 4/3.  

Let's focus on the point (-3, 2).  Here x = -3 and y = 2.  Plugging these three values into the slope-intercept form of the equation of a line, we get:

2 = (4/3)(2) + b.

Then 2 = 8/3 + b, or 6/3 = 8/3 + b.  Thus, b = 6/3 - 8/3, or -2/3.

The equation of the desired line is y = (4/3)x - 2/3

Answer:y=4/3x+6

Step-by-step explanation:

the total surface area of an cube is 294cm2 work out the volume of the cube

Answers

Answer:

343 cm³

Step-by-step explanation:

V = 343 cm³

Surface A = 294 cm²

determine the measurement of segment XV​

Answers

Answer:

Segment XV is equal to 24 mm

Step-by-step explanation:

Both triangles are clearly congruent, both having the same type of angles as well as angle LKJ and angle VKW having the same angle measure, 21 degrees. Lastly, if you were to take out segment JL and WV, the triangles would fold the same. All of this leads to segment XV being the same as segment KL which leads it to be 24 mm. (Sorry if this is confusing, just trying to explain how my brain understood the problem. If you need me to elaborate more let me know).

Suppose a candy bar weighs ounces. How much does a pack of bars weigh?

Answers

Answer: it ways ounces?????????????

Step-by-step explanation:

4x^2 - 3 when x= -10

Answers

Answer:

397

Step-by-step explanation:

1. To evaluate this expression, we plug in the value of x and simplify.

[tex]4x^2 - 3[/tex] [tex]4(-10)^2 - 3[/tex] [tex]4(100)-3[/tex] [tex]400-3[/tex] [tex]397[/tex]

Therefore, the answer is 397.

How do you Find cross products with multiplication?
I will give 500 pts and Brainliest!

Answers

Answer:

A cross product is an form from an vector multiplication, performed in between for two vectors from a different kinds or nature. An vector may have both magnitude also direction. So we can multiply two or more vectors for crossing a product also a dot product. The resultant vector is an perpendicular to a plane having the two add vectors.

Step-by-step explanation:

Sorry if I am wrong!!!!

Answer:

between for two vectors from a different kinds or nature. i think

brainliest???

Step-by-step explanation:

5x + 7y = 5 10x + 14y = 10 solve by elimination​

Answers

multiply the first equation by -2

The answer is:

x= 46/5

y= 5/7

Find the perimeter. Simplify your answer.

Answers

Answer:

3a+ 16

Hope this helps!

a÷b when a = 2 and b = 1/2

Answers

Answer:

4

Step-by-step explanation:

a ÷ b = 2 ÷ 1/2 = 2 × 2/1 = 4

x²-2/p(p²+1)+4
What is the value of factor

Answers

p=2 or p=−1

Explanation:

The roots of a quadratic ax2+bx+c=0 are equal when the discriminant (b2−4ac) is equal to 0

In this case

a=1

b=−2p

c=(p+2)

So the discriminant is

(-2p)2−4(1)(p+2) =4p2−4p−8

which factors as

=4(p−2) (p+1)

and the discriminant

=0 if p=2 or p=−1

Pls help Ive been here since nine this morning...

f(x)=4.5x^2-3x+2

fine the horizontal tangent line

Answers

Answer:

x = 13

Step-by-step explanation:

Given: f ( x ) = 4.5 x 2 − 3 x + 2 To determine the critical points, we must first calculate the first derivative of the function.

Differentiate the given function with respect to x using the power rule of differentiation, d d x x n = n x n − 1.

f ′ (x) =    d        (4.5 x 2 − 3 x + 2)

        ______        

            d x  

Apply sum rule: d d x (f(x)) + g (x) = d d x f (x) + d d x g (x) } f ′ ( x) = d d x (4.5 x^2) + d d x (−3 x) + d d x (x) f ′ (x) = 9 x − 3

To determine the critical points, set f ′ (x) = 0 . 9 x − 3 = 0 9 x = 3 {∴ x = 13}

Therefore, the tangent line to f(x) is horizontal at the point x = 13

Hope this helps, have a nice day/night! :D

Can you help me with my work select the best estimate of the product of 18*31 =

Answers

18 could round to 20
31 could round to 30
30 x 20 would be 600

Pretty sure that’s your best estimate,
600

please help me answer this question

Answers

9514 1404 393

Answer:

  D.  -17%

Step-by-step explanation:

The change from March to April is (April - March) = (100 -120) = -20. As a fraction of the March bill, that is ...

  -20/120 = -1/6

As a percentage, that change is ...

  -1/6 × 100% ≈ -16.667% ≈ -17%

The electric bill changed by about -17% from March to April.

_____

Additional comment

Water went up 4%; groceries went up about 14%, and restaurant changed by -15%.

The percentage change is found by ...

  % change = ((new amount)/(original amount) -1) × 100%

Above, we have rearranged this to ...

  % change = ((new amount) -(original amount))/(original amount) × 100%

Other Questions
Help, pls///////////// Select two answers from below. x=_ and then which theorem justifies your answer.(2x + 2)(3x -63)max=63x=64Obcroob.X=65X=66Alternate Interior AnglesAlternate Exterior AnglesCorresponding AnglesSame Side Interior Anglesf What about this art ? Does it look like floating ???If there any defects , please inform me What is the molality of sodium chloride in solution that is 13.0% by mass sodium chloride and that the solution has a density of 1.10 g/mL? Who first discovered America? Provide 3 examples of substances that are mixtures and list the substances in them can somebody help me with this question Which statement about the specific immune response is FALSE?Each T or B cell has antigen receptors for only one specific antigen.T and B cells recognize antigens by using antibodies bound to their surface membranes.Unique antigen receptors are created by genetic recombination.Antigens must be presented by an MHC molecule for T and B cells to recognize them.All cells express MHC-I molecules, but only antigen-presenting cells express MHC-II molecules. Find $\left(\frac{5}{7}\right)^{3}\left(\frac{4}{5}\right)^{3}$.Can u answer this? Which set of ordered pairs lies along the same vertical line? Select the correct answer from each drop-down menu.A machine cuts a strip of carpet into two pleces. The length of the smaller plece is 5 meters greater than 4 the length of the larger piece. Ifthe length of the smaller piece is 12 meters, the length of the bigger plece is meters and the total length of the carpet ismeters. state one reason why the movement of molecules in method C represents active transport. Does molasses need to be refrigerated after opening? Question 2You can make the puck travel in complex ways by placing a set of charges around on the field. So, heres your game challenge:Arrange sources charge around to propel the puck from its starting position into the goal. Thats pretty easy for a straight shot; you just put a negative charge behind the goal. But what if there are barriers along the way? This is a real test of your physical understanding, including Newtons laws of motion and electrostatic forces. Games on!Part AOn the control bar, check the Trace and Field boxes. The game has three Difficulty levels. Start with Difficulty level one and arrange source charges to get the puck into the goal. Once youve made a score at any level, increase the Difficulty level. Take a screen capture of two of your most difficult goals and paste them here. At least one of these should be at Difficulty level 2 or 3. What would a good hypothesis be for "What are the causes of anxiety in college students" What economic effect did World War I have on Plains wheat farmers? Suzie has 672 marbles. She wants to put the marbles into 5 containers, each with the same amount. How many marbles will be in two containers? Dtrmn t rn f t fntn f() = 2 + 1 n t mn {-3, 9, 15}. If you are going to build a custom fast PC for gaming and you need a lot of storage for big video files and videos, but you have a low budget, what storage device(s) option you are going to consider? Why? Which table shows two steps of DNA replication?