A square carpet covers 75% of the area of the floor.The floor is 8 meters by 8 meters. (a) What are the dimensions of the carpet? (b) What area of the floor is not covered by carpet?

Answers

Answer 1

Answer:

The dimensions of the carpet are 4√3m by 4√3m.

16m² are not covered by the carpet.

Step-by-step explanation:

The area of an 8m by 8m floor is 64m².

[tex]8*8=64[/tex]

A)

First, 75% of that area is 48m².

[tex]64*0.75=48[/tex]

Now we need to find the dimensions of the square carpet. Because it is a square, the length and width have to be the same.

[tex]x*x=48\\x^2=48\\x=\sqrt{48}[/tex]

There's 2 ways to simplify that further as it is not a perfect square. Either just use a calculator to find the root, or factor it out. I won't show how to factor that here as it's not directly relevant, but I can explain it if you're interested.

The 2 solutions are:

[tex]x=6.9282...\\x=4\sqrt{3}[/tex]

The dimensions of the carpet are 4√3m by 4√3m.

B)

Now to find the area that is not covered, just subtract the area that is covered from the total.

[tex]64-48=16[/tex]

16m² are not covered by the carpet.


Related Questions

Gabriel deposits $250 into his savings account when he first opens the account. he then deposits $40 every month after that. how much money will he have after 9 months?​

Answers

Answer:

610

Step-by-step explanation:

Multiply the monthly $40 by the 9 months

(40 times 9 = 360)

Then you would need to add in the original $250 deposit money

(360 + 250 = 610)

What is the constant of proportionality in the equation
Below

Answers

Answer:

k = 9/2

Step-by-step explanation:

Constant of proportionality, k = y/x

given: x/y = 2/9

since k = y/x, therefore, k value will now be inverse of 2/9, which is 9/2

Find x special right triangle

Answers

Answer:

This is a 45 45 90 triangle, so v=[tex]\sqrt{2}[/tex]. The side opposite the right angle in a 45 45 90 triangle is equal to the length of the other sides * [tex]\sqrt{2}[/tex].

Therefore, u=2, because [tex]\sqrt{2}[/tex]*[tex]\sqrt{2}[/tex]=2. So, your answer is A, 2.

Step-by-step explanation:

We know, sum of all angles of a triangle is 180°.So, 180° - (90+45)° = 45°So, the angle which is not given is 45°.The opposite angles of the triangle are equal, so the opposite sides of the triangle are also equal.Therefore, v = √2.[tex] {u}^{2} = \sqrt{(2)} ^{2} + {( \sqrt{2)} }^{2} \: \: \: (by \: \: pythagoras \: \: theorem)\\ => {u}^{2} = 2 + 2 \\ = > {u}^{2} = 4 \\ = > u = 2[/tex]

Answer:

2

Hope you could understand.

If you have any query, feel free to ask.

what is the probability of drawing a red marble then a white marble if there are 3 red marbles and 2 white marbles

Answers

Answer:

3/5

Step-by-step explanation:

The selling price of an item is 720 it is marked down 30% but the sale price is still marked up from the cost of 420 find the mark up from the cost of the sale price

Answers

Answer:

$84

Step-by-step explanation:

720x30=21600

21600/100=216

216=markdown (as a number instead of a percentage)

Now subtract that like this

720-216=504

504= sale price

Then do this

504-420=84

Therefore it is $84

Hope you understand!

Plzzzz help meeeee plzzzz

Answers

Answer:

200

Step-by-step explanation:

A new car is purchased for 24500 dollars. The value of the car depreciates at 14.75% per year. What will the value of the car be, to the nearest cent, after 14 years?

Answers

Answer:

$258

Step-by-step explanation:

write 13/19 as a decimal rounded to the nearest hundred

Answers

13/19 as a decimal rounded to nearest hundred is 0.68

If needed,round your answer to the nearest cent.

please help me.​

Answers

Answer:

1.62 per pen

Step-by-step explanation:

Take the total cost and divide by the number of pens

9.69/6

1.615

Round to the nearest cent

1.62 per pen

solve the following equations
A) 2 (A + 5) = 16
b) 4 p - 2/3 = 7/3
c) 3y/2 + 8 = (-4)
pls pls pls pls pls pls answer steps ​

Answers

Answer:

A. 2(a+5) = 16

2a + 10 = 16

2a = 16-10

2a = 6

2a÷2 = 6÷2

a = 3

B. 4p-2/3 = 7/3

4p = 7/3 + 2/3

4p = 3

4p÷4 = 3÷4

p = 3/4

C. 3y/2 + 8 = -4

3y/2 = -4 - 8

3y/2 = -12

[ 3y/2 = -12 ] 2

3y = -24

3y ÷ 3 = -24 ÷ 3

y = -8

[tex] \: \: \: \: \: [/tex]

A.) a = 3

B.) p = ¾

C.) y = -8

hope it helps

refer to the attachment

[tex] \: \: \: \: \: \: \: \: [/tex]

Help!!! can someone answer these, Thank You!

Answers

I think we need to see question number 2 since number 3 is sequential and can’t be answered without it

sorry last one!!
3 × x[tex]x^{2}[/tex] × y × 4z × x × 2y × z

Answers

[tex]\red{\bold{Answer:}}[/tex]

z1 Multiplied by z1 = z(1 + 1) = z2

[tex]\color{skyblue}{\boxed{\tt{Final\:Answer}}}[/tex]

= (3•2³x3y2z²)

HELPPPPPPPP PLSSSSS ASAPPPP

Answers

Answer:

C

Step-by-step explanation:

AB and GH

Please help- it's due in a week-

Answers

Answer:

100x + 150y = 3050

x + y = 23

Step-by-step explanation:

the other answer had the right start and equations, and then did not give the result.

so, here the full picture :

x + y = 23

100x + 150y = 3050

so, the first equation gives us

x = -y + 23

which we can now use in the second equation

100(-y + 23) + 150y = 3050

-100y + 2300 + 150y = 3050

50y = 750

y = 15 (15 adults)

x = -y + 23 = -15 + 23 = 8 (8 minors)

Brianna mixed 5 parts of orange juice and 2 parts of water to make a drink. How many parts of orange juice did Brianna mix with each part of water?

Answers

Answer:2 1/2

Step-by-step explanation:

Determine the inverse of the function

Answers

First, replace f(x) with y . ...
Replace every x with a y and replace every y with an x .
Solve the equation from Step 2 for y . ...
Replace y with f−1(x) f − 1 ( x ) . ...
Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.

Please help me on this

Answers

Answer:

1st dot: 195,3

2nd dot : 390,6

The! width! of! a! rectangular! box! is!2cm!less! than! its! length.! The! height! of! the! box!is!8cm.!Which

Answers

Answer:

Step-by-step explanation:

is this right ill give brainliest

Answers

Answer:

1. 3rd

2. 3rd

3. 1st

4. 1st

Answer:

no

Step-by-step explanation:

1. is right

2. is third-person

3. is right

4. is right

!!Help!!
solve for x​

Answers

WXY = XYW ( = 41 ) ⇒  XYW is a isosceles triangle

⇒ XW = YW

⇒ 54 = 6x + 6

⇒ 6( x + 1 ) = 54

⇒ x + 1 = 9

⇒ x = 8

ok done. Thank to me :>

what is the ratio of 4:5​

Answers

8:10 and/or 12/15 I’m writing this bc my answer has to be a certain length xd

1. Carlee surveyed customers as they left a convenience store. She asked them, “How many items did you purchase?” The results are shown in the line plot.

(a) How many customers were surveyed?
(b) What was the greatest number of items purchased by a customer?
(c) How many customers purchased 9 items?
(d) How many customers purchased at least 5 items?
(e) What was the median number of items purchased?

Answers

Answer:

a. 15

b. 11

c. 2

d. 7

e. 3

Step-by-step explanation:

a. count the dots, that will be total customers surveyed  = 15

b. one customer purchased 11 items - 11

c. count how many dots under 9 - 2

d. at least 5, meaning ppl buying 5 or more items, count dots greater than 5

  - 7

e. Median means middle number, arrange in order

0,1,2,2,3,3,3,3,5,5,7,7,9,9,11, so middle number is : 3

Answer:

a. 15

b. 11

c. 2

d. 7

e. 3

hope this helps :)

There are 13 books on your shelf, and you will take 5 of them on vacation with you.

How many ways can the books be chosen?

Answers

Answer:

Important, funny and book about the place you are going?

A diameter of a circle measures 58cm. What is the length of its radius

Answers

Answer:

29cm

Step-by-step explanation:

a radius is half of a diameter so half of 58cm  is 29cm.

i hope this helps have a good day

The Temperature decreased from 71.50 F to 56.80 F overnight. How much did the temperature drop? Find the difference.

Answers

Answer:

Temperature difference: 14.70°F

Step-by-step explanation:

Since the temperature decreased from 71.50°F to 56.80°F, we could determine the temeprature difference by subtracting the given temperatures:

71.50°F - 56.80°F = 14.70°F

Therefore, the temperature decreased by 14.70°F overnight.

solve for z. -18+5z=37 and thank you and have a bless day

Answers

Answer:

z= 37/23

Step-by-step explanation:

A survey was given to people who own a certain type of car. What percent of the people surveyed were completely satisfied with the​ car?

Answers

Answer:

60% if this is an edge question

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Answers

Answer:

B

Step-by-step explanation:

X menas time, so we posisionate this in the axis, you begin with 2 dollars, and increase the cost with the time, hope this hlps :)

What are the variables in the equation 2x - 10 + 5y?

Answers

A variable is a letter, usually in an equation or expression, that represents a number. In this expression, x and y are the variables.

Find the value of 'y' if 27^y = 9/3^y.
Help me please..​

Answers

Answer:

y = 1/2.

Step-by-step explanation:

Note that 27 = 3^3 and 9 = 3^2:

27^y

= (3^3)^y

= 3^3y.

9/3^y

= 3^2/3^y

= 3^(2-y)

So 3^3y = 3^(2-y)

and therefore:

3y = 2 - y

4y = 2

y = 1/2.

Given that:

27^y = 9/3^y

⇛27^y × 3^y = 9

⇛(3^3)^y × 3^y = 9

⇛3^3y × 3^y = 9 [°.° (a^m)^n = a^mn]

⇛3^(3y+y) = 9 [°.° a^m×a^n = a^m+n]

⇛3^(4y) = 9

⇛3^(4y) = 3^2 [Bases equal exponents to equal]

.°. 4y = 2

y = 2:4 = 1/2

Hence, the value of y is 1/2.

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