11. Write and solve and solve an equation to find the measure of

Step-by-step explanation:

Let x represent the monthly cost charge for using the gym.

Let y represent the one time joining fee.

The total cost of membership for 6 months is $80. This means that

6x + y = 80 - - - - - - - - - - 1

The total cost for a year is $110. There are 12 months in a year. It means that

12x + y = 110 - - - - - - - - - - - -2

Subtracting equation 2 from equation 1, it becomes

- 6x = - 30

x = - 30/-6

x = 5

Substituting x = 5 into equation 1, it becomes

6 × 5 + y = 80

30 + y = 80

y = 80 - 30

y = 50

The cost of 1 part hat is $ 1.5 and cost of 1 roll of streamer is $ 2.5

Solution:

Let "c" be the cost of each rolls of streamer

Let "p" be the cost of each party hats

Three rolls of streamers and fifteen party hats cost $30

Therefore, we frame a equation as:

Three rolls of streamers x cost of each streamer + fifteen party hats x cost of each party hats = 30

[tex]3 \times c + 15 \times p = 30[/tex]

3c + 15p = 30 -------- eqn 1

Later, you bought two rolls of streamers and four party hats for $11

Thus we frame a equation as:

[tex]2 \times c + 4 \times p = 11[/tex]

2c + 4p = 11 ------- eqn 2

Let us solve eqn 1 and eqn 2

Multiply eqn 1 by 2

6c + 30p = 60 ------ eqn 3

Multiply eqn 2 by 3

6c + 12p = 33 -------- eqn 4

Subtract eqn 4 from eqn 3

6c + 30p = 60

6c + 12p = 33

( - ) --------------

18p = 27

p = 1.5

Substitute p = 1.5 in eqn 2

2c + 4(1.5) = 11

2c + 6 = 11

2c = 5

c = 2.5

Thus cost of 1 part hat is $ 1.5 and cost of 1 roll of streamer is $ 2.5

39

Step-by-step explanation:

29+112= 141  180-141=39

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step-by-step explanation:

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step-by-step explanation: