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Readme [11.4K]
3 years ago
8

Glenn needs 20 minutes to clean his room. If his little sister Veronika pulls things out while he is cleaning, it takes 60 minut

es for him to clean the room. How many minutes does it take for Veronika to pull everything out?
Mathematics
1 answer:
Bogdan [553]3 years ago
3 0

Answer:

It takes 30 minutes

Step By Step:

The rate of Glenn in finishing a job would be equivalent to:

Rate (G) = 1

job / 20 minutes

While the rate of Veronika is:

Rate (V) = 1

job / x---> x is the unknown

Where 1 job for Glenn means completely cleaning his room while 1 job for Veronika means pulling out everything. Therefore the equation to use would be:

1 / 20 – 1 /

x = 1 / 60

The rate of

Veronika is subtracted from the rate of Glenn since Veronika is slowing Glenn

down. Solving for x:

Multiply both

sides by 60 x

(1 / 20 – 1 /

x = 1 / 60) * 60 x

3 x – 60 = x

2 x = 60

x = 30

Therefore it

takes 30 minutes for Veronika to pull everything out.

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Write a point slope equation for -5/7 using the coordinates (6,2)
sleet_krkn [62]

Answer:

(13, -3)

Step-by-step explanation:

slope = -5/7

(6,2)  

m = ( y2 - y1) / ( x2 - x1 )

-5/7 = ( y2 - 2) / ( x2 - 6 )

   

    -5 = y2 -2

        +2        +2

        -3 = y2


      7 = x2 - 6

    +6         +6

      13 = x2


Check answer again by log them in:

m = ( y2 - y1 ) / ( x2 - x1 )

m = ( -3 - 2 ) / ( 13 - 6 )

m = -5 / 7


I hope this helps!

7 0
3 years ago
A taxi travels 25 km east of airport. Then it travels from that point to a point that is 40 km west of the airport. Finally the
Marizza181 [45]
The answer is:  " 95 km " .
__________________________________________________
Explanation:
__________________________________________________

                                   ("airport")
                                           •     {Step 1):       " 25 km east "               •<span>  
                                           </span>│===============================>  <span>│

                           </span>•  {Step 2):       " 40 km west ["of that point"] " ;        •                                             │<==========================================│<span>  
             
                          </span>•  {Step 3:  [back to airport] = " (40 km − 25 km) " ;

                                            • ("airport").
                         │=======>│
<span> _________________________________________________
                          
<u> Note</u>:  To find "total distance traveled:

" 40 km +</span> (40 km) + (40 km <span>− 25 km) " ; 

= </span>" 40 km + (40 km) + (15 km) " ;

= " 40 km + 40 km + (15 km) " ;

= 80 km + 15 km  ;   

=  95 km .
____________________________________________________
<span>
The answer is:  " 95 km <span>" .
</span>____________________________________________________

</span>
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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