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jekas [21]
1 year ago
6

One maid can clean the house four times faster than another. Working together they can clean the entire house in 4 hours. How lo

ng would it take the faster maid cleaning alone
Mathematics
1 answer:
stich3 [128]1 year ago
8 0

<u>5 hours</u><u> long would it take the </u><u>faster </u><u>maid cleaning alone.</u>

What is a linear equation in math?

  • A linear equation only has one or two variables.
  • No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction.
  • When you find pairs of values that make a linear equation true and plot those pairs on a coordinate grid, all of the points lie on the same line.

Suppose, time taken by faster maid be x , hours.

So, time taken by slower maid ,

 x_{2} = 4x_{1}        ( 4 time faster maid )

Now, time taken by both of the  made together is given by ,

( \frac{x_{1}x_{2}  }{x_{1} + x_{2} } )

\frac{x_{1}(4x_{1} ) }{x_{1} + 4x_{1} }  = 4 hours

\frac{4x_{1} }{5}  = 4 hours

x_{1} = 5 hours     which is the time required by faster maid.

Learn more about linear equation

brainly.com/question/12974594

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How many different ways can the letters of “football” be arranged
makvit [3.9K]
<h3>Answer:   10,080</h3>

Explanation:

There are 8 letters so there are 8! = 8*7*6*5*4*3*2*1 = 40,320 permutations of those letters. However, the letters "O" and "L" show up twice each, so we must divide by 2! = 2*1 = 2 for each instance this happens.

So,

(8!)/(2!*2!) = (40,320)/(2*2) = (40,320)/4 = 10,080

is the number of ways to arrange the letters of "football".

The reason we divide by 2 for each instance of a duplicate letter is because we can't tell the difference between the two "O"s or the two "L"s. If there was a way to distinguish between them, then we wouldnt have to divide by 2.

3 0
3 years ago
1. When the point is reflected over x-axis, what will<br> the new coordinates of the new point be?
stich3 [128]

Answer:

(x , y) ----> (-x , y)

Step-by-step explanation:

(x , y) ----> (-x , y)

Example for 1. :

(-4,2) ---> (4,2)

4 0
2 years ago
Solve the system of equations by using substitution.​
katrin [286]

Answer:

(x,y) = (-1,1)

Step-by-step explanation:

Given the equations

y = 2x + 3

x - y = -2

substitute the value of y in the first equation into the second

x - (2x + 3) = -2

x -2x - 3 = -2

-x - 3 = -2

add 3 to both sides

-x = -2 + 3

- x = 1

Divide both sides by -1

x = -1

Substitute into the first equation

y = 2(-1) + 3

y = -2 + 3

y = 1

8 0
2 years ago
Help please? Thank you!
adoni [48]

Answer:

The first answer should be the 3rd one.

The second answer should be the first one.

Step-by-step explanation:

4 0
3 years ago
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How many different passwords are possible
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I think 2600 passwords are possible

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