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Mademuasel [1]
3 years ago
12

Simplify and rationalize the expression.

Mathematics
1 answer:
alexandr402 [8]3 years ago
5 0
~-2.15139............ hope it helps

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You are planning on retiling your bathroom floor and buy 96 square feet of tile. If the length of the bathroom is
Rudik [331]

Answer:

8 feet

Step-by-step explanation:

Given that 96 sq. feet of tile is bought to retile the bathroom.

It means area of bathroom is 93/2 x^2 = 96\\=> 3 x^2 = 96*2=192\\=>  x^2 = 192/3 = 64\\=>\sqrt{x^2}  = \sqrt{64} \\=> x = 86 sq. feet

Width of bathroom be x

Given that the length of the bathroom is  one and a half times the width

Length of bathroom in term sod width = 1 1/2* x = 3/2 x

we know area of rectangle is given by length * width

therefore area of bathroom =( x* 3/2 x) = 3/2 x^2

Also area of  bathroom is 86 sq. feet, therefore

3/2 x^2 = 96\\=> 3 x^2 = 96*2=192\\=>  x^2 = 192/3 = 64\\=>\sqrt{x^2}  = \sqrt{64} \\=> x = 8

Thus, width of bathroom is 8 feet.

4 0
3 years ago
Which ordered pair is a solution to the system of equations?
iren2701 [21]

(- 2, - 3) is a solution to the given system of equations.

Answer: Option D

<u>Step-by-step explanation:</u>

Given equation are not presented in proper format. So, let assume the given system of are as below,

         2 x - y = -1

         2 x -4 y = 8

Now, subtract the second equation from the first, we get

          (2 x - y) -(2 x - 4 y) = -1 -8

          3 y = -9  

           y = -3 (obtained this when divide by 3)

Substituting y = - 3 into the first equation, we get

          2 x - (-3) = - 1

          2 x = - 1 + 3

          x = - 2 (obtained when divide by 2)

Now, the answer is (x, y) = (- 2, - 3)

3 0
4 years ago
You select a marble without looking and then put it back. If you do this 5 times, what is the best prediction possible for the n
alina1380 [7]
Need more context. How many marbles are there in total, how many colours and how many of each colour?
4 0
3 years ago
11/20 as a simplified fraction
strojnjashka [21]
11/20 is already reduced you cannot simplify this fraction
3 0
3 years ago
2.77 x 10^3<br> + 1.04 x 10^4
Alex Ar [27]
2.77*10^3+1.04^10^4
2.77*10^3=2770  where (10^3=1000, so 1000*2.77)
1.04*10^4=10400 where (10^4=10000, so 10000*1.04)
 
2770+10400
=13170
4 0
3 years ago
Read 2 more answers
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