If 2 1/4 pounds of bananas cost $1.89, what is the cost per pound?

The cost per pound of bananas is $0.84.

Step-by-step explanation:

The question asks to use the given information to set up a proportion and solve for the missing variable.  In this case, we know that the cost of 2 1/4 (or 2.25) bananas is $1.89.  Since they are asking for cost per pound, we can set up a ratio (fraction):

Since the cost of bananas is the same regardless of the number of pounds, we can set up a proportion to find the cost for just one (1) pound:

 Where 'x' is the cost.

Using cross-multiplication and division we get:  2.25x = 1.89.  Next, we use inverse operations to divide both sides by 2.25:  2.25x/2.25 = 1.89/2.25.  Solve:  x = 0.84 or $0.84 per pound.  

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!

900 degrees

step-by-step explanation: