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zimovet [89]
3 years ago
12

Krystal left the hardware store and traveled toward the recycling plant at an average speed of 61 mph. Scott left at the same ti

me and traveled in the opposite direction with an average speed of 65 mph. Find the number of hours Scott needs to travel before they are 252 mi. Apart
Mathematics
1 answer:
tiny-mole [99]3 years ago
4 0

Since Krystal and Scott is heading on opposite directions, therefore the distance between the two would be the sum of their distances from where they left, so:

total distance (d) = distance covered by Krystal (dK) + distance covered by Scott (dS)

d = dK + dS

 

We know that the formula for distance is:

distance = velocity * time

 

So,

d = vK * t + vS * t

where

vK = velocity of Krystal = 61 mph

vS = velocity of Scott = 65 mph

d = 252 miles

 

Therefore:

252 = 61 t + 65 t

126 t = 252

t = 2 hours

 

Therefore Scott needs to travel for 2 hours.

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Answer: The expression (equation/formula) for the volume of a:  

     " right rectangular prism " ;   is represented by:

____________________________________________________

                    →   " V  =  L * w * h  "   ;

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in which:   all the dimensions are in the same "units of measurement" (or converted to the same "units of measurement" ;  

and in which:

      " V " is the "volume" of the right rectangular prism; in the "cubic units" ; or written as:  "units³ "  ;  or, [insert the particular units used}^ ³  "   ;

  →  that is, [units] raised to the "3rd [third] power" ; assuming these units are the same  same "fundamental units of measurement"  as the "other 2 (two) values in the expression".  

    If we are given no specific units of measurement whatsoever, then we use the generic term, "units" as the "units of measurement" ; and we express the "volume; "V" ;  of a "right rectangular prism" as:  " units ³ " ; or "cubic units" ;

        in our answer— if we are asked to solve for the:

                     "volume; "V";  of a "right rectangular prism" ;

_________________________________________________

and in which:  

            "L" represents the "length" of a "right rectangular prism" ;

            "w" represents the "width" of a "right rectangular prism" ;

            "h" represents the "height" of a "right rectangular prism" .

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To given an example:

  Say we have a "right rectangular prism" ; with the given measurements:

    width , "w" :   w = 2 units;  

    length, "L"  :    L  = 3 units ;

    height, "h" :    h =  8 units.

_________________________________________________

We are asked to "find the volume " ;  of this "right recentangular prism" .

The formula for the volume;  "V" ;  of this "right rectangular prism" ;

is:

_________________________________________________

          →    Volume  =  Length * width * height ;

that is:

          →    V =  L  * w * h  ;  

Solve for the volume;  "V" .

_________________________________________________

          →   V  =  L  * w * h   ;    Now plug in the values given:

          →   V =  (3 units)  * (2 units)  * (8 units) ;

                   

                    =  3 * 2 * 8 * (units) * (units) * (units) ;

                    =  3 * 2 * 8 * units ³  ;

                    =  48 units ³ .    

_________________________________________________                    

Hope this answer— and explanation—is helpful to you!

     Wishing you the best in your academic pursuits

               — and within the "Brainly" community!

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4 0
3 years ago
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Y_Kistochka [10]

Answer:

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                 = − (x² − 4x + 4 − 4) + 6

                 = − [(x − 2)² − 4] + 6

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                 = 10 − (x − 2)²

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tino4ka555 [31]

Answer:

19 situps

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Given that the regression equation to find a  a relationship between hours of TV watched per day (x) and number of situps a person can do (y) was done.

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y = -1.23(3)+22.738

= 19.048

Approximately 19 situps.

6 0
3 years ago
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