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Alex17521 [72]
3 years ago
6

Solve for the value of z. (z+2)° (4z-7)°​

Mathematics
1 answer:
telo118 [61]3 years ago
3 0

Answer:

Z=0.8

Step-by-step explanation:

Step-by-step explanation:

Combine the opposite terms

2z+2+4z=7

Add

2z and 4z

6z+2=7

Move all terms not containing z to the right side of the equation.

Subtract 2 from both sides of the equation.

6z=7−2

6z=5

Divide each term:

6z/6 = 5/6

Decimal Form:

z=0.8

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Help me please,Thanks
alisha [4.7K]
Answer:  The width is:  " 10 in. " .
________________________________________________
Explanation:
________________________________________________
Consider a "rectangular prism".
________________________________________________
The formula for the Volume of a rectangular prism:
________________________________________________
  
    V = L * w * h ; 
_________________________________________________
                 in which:
 
                     V = volume = 120 in.³ ;
                     L  = length  =  8 in.
                     w = width   =  ??
                     h = height  =  1.5 in.
____________________________________________
We want to solve for "w" (width) ;
____________________________________________
Given the formula:
____________________________________________
 
   V = L * w * h ; 
____________________________________________
Rewrite the formula; by dividing EACH SIDE of the equation by
   "(L * h)" ; to isolate "w" on one side of the equation;
                 and to solve for "w" ;
_____________________________________________
  →  V / (L * h) = ( L * w * h) / (L * h) ; 

to get:
_________________________________
     →  V / (L * h) =  w ; 

       ↔ w = V / (L * h) ;
_________________________________
Plug in our given values for "V", "L"; and "h"; to solve for "w" ; 
____________________________________________________
       → w = (120 in.³) / (8 in. * 1.5 in.) ;
    
       → w = (120 in.³) / (12 in.²) ;
 
       → w = (120/12) in. = 10 in.
____________________________________________________

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