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Ray Of Light [21]
2 years ago
13

Nate bought two large pizzas and one small pizza and paid $36 if the difference in costs between the large and small pizza is $5

.25 how much does a small pizza cost
Mathematics
1 answer:
goldenfox [79]2 years ago
4 0

Answer: $8.5

Step-by-step explanation:

i did the work

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8 0
3 years ago
A poster is to have a total area of
Neko [114]

Answer:

Dimensions of printed area

w = 8.95 cm

h = 13.44 cm

A(max) = 120.28 cm²

Step-by-step explanation:

Lets call  " x "  and  "y" dimensions of the poster area  ( wide and height respectively) . Then

A(t)  =  180 cm²  = x*y      y  =  180/ x

And the dimensions of printed area is

A(p) = ( x - 2 ) * ( y - 3 ) then  as y  = 180/x we make A function of x only so

A(x)  =  ( x - 2 ) * ( 180/x  - 3 )     ⇒  A(x)  = 180 - 3x - 360/x +6

A(x)  = - 3x  - 360 /x + 186

Taking derivatives on both sides of the equation we get:

A´(x)  = -3  + 360/ x²  

A´(x)  = 0    -3  + 360/ x²  = 0     -3x²  +  360  = 0

x²  = 120       ⇒   x = √120       x  =  10.95 cm

And  y  =  180 / 10.95 ⇒         y  =  16.44 cm

Then x and y are the dimensions of the poster then according to problem statement

w of printed area is    x - 2  =  10.95 - 2   =  8.95 cm

and  h  of printed area is  y - 3  = 16.44 - 3  = 13.44 cm

And the largest printed area is  w * h  = ( 8.95)*(13.44)

A(max) = 120.28 cm²

   

 

7 0
3 years ago
6. Line a: y - 3x = 4<br> Line b: y = 3x + 5<br> Line c: y - 4x = 3<br><br> Which lines are parallel
kramer

Answer:

Line a and b

Step-by-step explanation:

6 0
2 years ago
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