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horrorfan [7]
3 years ago
13

Manuel noticed that his cellphone bill reflected a monthly fee of

Mathematics
1 answer:
Aneli [31]3 years ago
8 0

Answer:

He spent on 16 minutes

Step-by-step explanation:

Given

Base\ Amount = \$40

Charge = \$0.5 per minute

Total = \$48

Required

Determine the number of minutes

Let the number of minutes be n

<em>If 1 minute costs $0.5</em>

<em>n minutes would cost $0.5n</em>

The relationship between the given parameters is

Total = Base\ Amount + Charges

Substitute values for each of the above

48 = 40 + 0.5n

Solve for 0.5n

0.5n = 48 - 40

0.5n = 8

Solve for n

n = 8/0.5

n = 16

<em>He spent on 16 minutes</em>

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A cylinder has a volume of 384 cubic inches and a height of 8 inches, what is the radius
Triss [41]
The answer is:  3.91 inches .
___________________________________________

Note:  Volume of cylinder: V = (base area) * (height);

in which: V = volume = 384 in.³ ;
              h = height = 8 in. ; 
              Base area = area of the base (that is; "circle") = π r² ;
                                         in which; "r" = radius; 
___________________________________________
Solve for "r" :
___________________________________________
 V = π r² * (8 in.) ; 

384 in.³ = (8 in.) * (π r²) ;
___________________________________________
Divide EACH SIDE of the equation by "8" ; 
___________________________________________
 (384 in.³) / 8 = [ (8 in.) * (π r²) in.] / 8 ; 
___________________________________________
 to get: 
___________________________________________
   48 in.³ = (π r²) in.² * in.   ;
___________________________________________
 ↔  (π r²) in.² * in. =  48 in.³  ;  
___________________________________________
Rewrite this equation; using "3.14" as an approximation for: π ;
__________________________________________________
 (3.14 * r²) in.² * in. =  48 in.³ 
_______________________________________
Divide EACH SIDE of the equation by:

"[(3.14)*(in.²)*(in.)]" ;  to isolate "r² " on one side of the equation; 
                                 (since we want to solve for "r") ;
_____________________________________________________
→ [(3.14 * r²) in.² * in.] / [(3.14)*(in.²)*(in.)]  = 48 in.³ / [(3.14)*(in.²)*(in.)] ; 
__________________________________________________
→ to get:   r² = 48/3.14 ;
________________________
      → r² = 15.2866242038216561 ;
_______________________________________
To solve for "r" (the radius; take the "positive square root" of EACH side of the equation:
__________________________________________________
     → +√(r²) = +√(15.2866242038216561)
__________________________________________________
     →  r = 3.9098112747064475286  ; round to 3.91 inches .
___________________________________________________
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