2. Express each of the following as a ratio of the first quantity to the second. a. 15 minutes, 3 hours,
b. 0.24 m2, 20 dm2

48 seconds, 5 minutes

=

5∗60

48

×100%

=16%

b) 63 cents, 9 dollers

1 doller=100 cents

9 dollers=900 cents

Ans =

900

63

×100%

=7%

c) 7mm, 2cm

1 cm=10 mm

2 cm=20 mm

Ans =

20

7

×100%

=35%

d) 24 min, 10 hours

1 hour= 60 min

10 hour= 600 min

Ans =

600

24

×100%

=4%.

-1/2 +2

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!