$x=1.121212...\ \ \ \ \ |multiply\ both\ sides\ by\ 100\\\\100x=112.121212...\\\\100x-x=112.121212...-1.121212...\\\\99x=111\ \ \ \ |divide\ both\ sides\ by\ 99\\\\x=\dfrac{111:3}{99:3}\\\\x=\dfrac{37}{33}\\\\x=1\dfrac{4}{33}\\\\Answer:\boxed{1.121212...=1\frac{4}{33}}$

5 0

3 years ago

Define variables and write a system of equations for each situation. Solve by using substitution.Suppose you want to join a vide

MrRa [10]

Answer:

The cost is the same after 15 video rentals

Step-by-step explanation:

Let the total cost be y

Let the number of video rentals made be x

Discount card for Big video = $9.99

Discount card for Main Street video = $20.49

Cost of 1 big video rental = $2.49

Cost of 1 Main Street video rental = $1.79

Cost of video rentals with big video:

Y = 9.99 + 2.49x………….(1)

Cost of video rentals with main street video :

Y = 20.49 +1.79x…………(2)

For the two costs to be equal, the two equations have to be equal to each other

Equating equations (1) and (2)

9.99 + 2.49x = 20.49 +1.79x

0.7x = 10.5

X = 10.5/0.7

X = 15 video rentals

8 0

3 years ago

Apple pies cost $5.75 each and cherry pies cost $6.50 each.Susan bought nine pies for a total cost of $53.25.There is no tax cha

Tanzania [10]

5.75a + 6.5c = 53.25

a + c = 9

c = 9 - a

5.75a + 58.5 - 6.5a = 53.25

5.25 = 0.75a

a = 7

7 + c = 9

c = 2

she bought 7 apple pies

please give brainliest

7 0

2 years ago