Write the recurring decimal 0.36 as a fraction. Give your answer in its simplest form. [0.36 means 0.3666...]

.

Step-by-step explanation:

x

=

0.3666

.

.

(1)  

10

x

=

3.666

...

(2)  

100

x

=

36.666

...

(2)-(1):

100

x

−

10

x

=

36.666

...

−

3.666

...

90

x

=

33

x

=

33

90

=

11

30

9/25

Step-by-step explanation:

In this case, 0.36 has two numbers after the decimal, so, we place 100 in the denominator and remove the decimal point.

⇒ 36/100

After reducing this fraction we get

⇒ (36 ÷ 4) / (100 ÷ 4) = 9/25

the answer is b. 60. each interior angle in 120, so the exterior angle must be 60 in order to add up to 180

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is