1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Inessa05 [86]
2 years ago
15

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

Mathematics
1 answer:
Rudik [331]2 years ago
4 0

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.

You might be interested in
Work out the percentage to change to decimal places when a price of 200 is increased to 210.99
olya-2409 [2.1K]

Answer:

105.495%

Step-by-step explanation:

210.99/200=1.05495

200 * 1.05495 = 210.99

6 0
2 years ago
What is the solution to the system of equations shown below?
Alexxandr [17]

Answer:

  b.  (1, 3, ­-2)

Step-by-step explanation:

A graphing calculator or scientific calculator can solve this system of equations for you, or you can use any of the usual methods: elimination, substitution, matrix methods, Cramer's rule.

It can also work well to try the offered choices in the given equations. Sometimes, it can work best to choose an equation other than the first one for this. The last equation here seems a good one for eliminating bad answers:

  a: -1 -5(1) +2(-4) = -14 ≠ -18

  b: 1 -5(3) +2(-2) = -18 . . . . potential choice

  c: 3 -5(8) +2(1) = -35 ≠ -18

  d: 2 -5(-3) +2(0) = 17 ≠ -18

This shows choice B as the only viable option. Further checking can be done to make sure that solution works in the other equations:

  2(1) +(3) -3(-2) = 11 . . . . choice B works in equation 1

  -(1) +2(3) +4(-2) = -3 . . . choice B works in equation 2

7 0
3 years ago
Each side of a cube measures 5 cm in length. What is the cubes volume?
AysviL [449]

____________________________________________________

Answer:

Your answer would be 125 cm³

____________________________________________________

Step-by-step explanation:

In order to find the volume of a cube, we would need to use the right formula to find the volume for it.

Volume of a cube formula:

V = a^{3}

For our "a" value, we would need to plug in our side value, and for you case, the side value would be 5.

In a cube, all of the sides would be the same size, so you don't have to worry about using any different numbers.

Lets plug in 5 to our equation.

V = 5^{3}

Now we solve:

5^{3} = 125\\

This is also the same as:

5 *5*5 = 125

Your FINAL answer should be 125 cm³

____________________________________________________

8 0
3 years ago
Read 2 more answers
What is x equal to in the problem 10+3(x+2)=36? Please show your work.
scZoUnD [109]

Answer:

x = 6 2/3

Step-by-step explanation:

10+3(x+2)=36

10+3x+6=36           Solve inside the parenthesis.

16+3x=36               Combine like terms.

-16       -16                Subtract 16 from both sides.

3x/3=20/3                Divide both sides by 3.

x=6 2/3                     The answer is x= 6 2/3, or 6.66666666666667

5 0
3 years ago
Read 2 more answers
A college bookstore marks up the price that it pays the publisher for a book by 35 %. If the selling price of a book is $ 87.00
Dimas [21]

Answer:the amount that the bookstore pay the publisher for the book is $64.4

Step-by-step explanation:

Let x represent the amount that the bookstore pay the publisher for the book.

The college bookstore marks up the price that it pays the publisher for a book by 35%. This means that the value of the mark up would be

35/100 × x = 0.35 × x = 0.35x

Therefore, the amount that the bookstore is selling the book would be

x + 0.35x = 1.35x

If the selling price of a book is $ 87.00, then it means that

1.35x = 87

x = 87/1.35 = 64.4

7 0
3 years ago
Other questions:
  • Which of the symbols correctly relates the two number below? Check all that apply 45? 45
    9·2 answers
  • How many positive integers between 1000 and 9999 inclusive
    14·1 answer
  • Explain how this method is correct...2 times 3 is 6, and 6 times 5 is 30.
    14·1 answer
  • No freeze antifreeze mixture contains 30% alcohol.how many alcohol is there in 15 quarts of no freeze?
    7·1 answer
  • 54.4% of tickets sold to a movie are sold with a popcorn coupon, and 45.6% are not. You want to calculate the probability of sel
    12·1 answer
  • Lisa plays a video game in which she loses points. She loses 3 points 2 times what is her score?
    10·1 answer
  • Increase 220 by 15% please
    15·1 answer
  • A regular hexagon has a perimeter of 150 m. Find its area. Leave your answer in the simplest radical form.
    7·1 answer
  • What is the equation of the line that passes through the point (5, 4) and has a slope<br> of 4/5
    9·1 answer
  • HELPPP IM TIMED Which is the correct calculation for the volume of the prism?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!