40 points hurry
the recipe for a batch of applesauce uses 2 1/2 pounds of apples. if michael wants to make 3/4 of a batch of applesauce, how many pounds of apples will he need?
a. 3/10 of a pound
b. 8/15 of a pound
c. 1 7/8 of a pound
d.3 1/3 of a pound

C. 1 7/8 of a pound

Step-by-step explanation:

We can use  a ratio to solve

2 1/2 pounds     x pounds

=

1 batch               3/4 batch

Change to improper fractions

2 1/2 = (2*2+1)/2 = 5/2

5/2 pounds     x pounds

=

1 batch               3/4 batch

Using cross products

5/2 * 3/4 = 1*x

15/8 = x

Changing from an improper fraction to a mixed number

8 goes into 15 1 time with 7 left over

15/8 = 1 7/8

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!

i dont have an answer

step-by-step explanation: