Franklin is purchasing replacement equipment for outdoor recess. Mr. DiCanio put in an order totaling $97.23 to purchase 4 playground balls for $17.25 each, a package of 10 jump ropes for $18.75, and 1 Nerf football. How much did the Nerf football cost?

Nerf football cost is $9.48.

Step-by-step explanation:

Total order made by Mr. DiCanio = $97.23

A playground ball cost $17.25 each, so that the cost of 4 playground balls can be determined by;

4 playground balls = $17.25 x 4 = $69.0

A package of 10 jump ropes = $18.75

Cost incurred on the items above = $69.0 + $18.75

                                                         = $87.75

Thus,

The cost of 1 Nerf football = $97.23 - $87.75\

                                           = $9.48

Therefore, the cost of Nerf football is $9.48

d

step-by-step explanation:

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!