Assuming that a cheese sandwich consists of 2 slices of bread and 3 slices of cheese determine the number of whole cheese sandwiches that can be prepared from 52 slices of bread and 75 slices of cheese

The number of sandwiches that can be prepared is

... min(52/2, 75/3) = min(26, 25) = 25

_____

25 sandwiches whole cheese sandwiches that can be prepared from 52 slices of bread and 75 slices of cheese

Step-by-step explanation:

No. of sandwiches can be made using 2 slices of bread = 1

No. of sandwiches can be made using 1 slices of bread =

No. of sandwiches can be made using 52 slices of bread =

                                                                                                =

No. of sandwiches can be made using 3 slices of cheese = 1

No. of sandwiches can be made using 1 slices of cheese  =

No. of sandwiches can be made using 75 slices of cheese  =

                                                                                                =

Minimum of 26 and 25 is 25

So, 25 sandwiches whole cheese sandwiches that can be prepared from 52 slices of bread and 75 slices of cheese

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!

4.

step-by-step explanation:

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