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ExtremeBDS [4]
3 years ago
5

One pipe fills a storage pool in 20 hours, another pipe fills the same pool in 15 hours.

Mathematics
1 answer:
erica [24]3 years ago
6 0
X=time  of the third person it would take to fill the pool 
We can suggest this equation:
6[(1/20) + (1/15) +(1/x)]=1
6[(3x+4x+60)/60x]=1
(7x+60)/10x=1
7x+60=10x
7x-10x=-60
-3x=-60
x=-60/-3
x=20

Answer: the third person alone would fill the pool in 20 hours .
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Answer:

x = -10; x = 7  

Step-by-step explanation:

|2x + 3| - 6 =11

Add 6 to each side.

|2x + 3| = 17

Apply the absolute rule: If |x| = a, then x = a or x = -a.

(1) 2x + 3 = 17                    (2) 2x + 3 = -17

Subtract 3 from each side

         2x = 14                                 2x = -20

Divide each side by 2

          x = 7                                   x = -10

<em>Check: </em>

(1) |2(7) + 3| - 6 = 11                     (2) |2(-10) + 3| - 6 = 11

      |14 + 3| - 6 = 11                              |-20 + 3| - 6 = 11

             |17| - 6 = 11                                     |-17| - 6 = 1 1

              17 - 6 = 11                                        17 - 6 = 11

                    11 = 11                                              11 = 11

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Archy [21]

We are given

The equation that models this trip is T= 36x + 60

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we know that

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Since, number of people can neither be negative nor in decimals

so, x can not be negative or in decimals

now, we will check each options

option-A:

x=40

This is positive and whole number

so, this can be domain

so, this is TRUE

option-B:

x=60

This is positive and whole number

so, this can be domain

so, this is TRUE

option-C:

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It also includes decimals numbers

and we know that

x can not be in  decimals

so, this is FALSE

option-D:

0< x< 39

It also includes decimals numbers

and we know that

x can not be in  decimals

so, this is FALSE

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Answer:

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Step-by-step explanation:

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(3x+2)(x-6)

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