The fall festival charges $0.75 per ticket for the rides. kendall bought 18 tickets for rides and spent a total of $33.50 at the festival. she only spent her money on ride tickets and admission into the festival. the price of admission is the same for everyone. use y to represent the total cost and x to represent the number of ride tickets. (a) define your variables. (b) write a linear equation to calculate the cost for anyone who only pays for festival admission and rides (c) explain your answer to part b.

a)   Here x represent number of ride tickets

z represent admission fees. = $20

y represent total cost.

Step-by-step explanation:

a)   Here x represent number of ride tickets

     z represent admission fees.

      y represent total cost.

b) Given that,

$0.75 per ticket for the rides.

Number of tickets (x) = 18

Total spent (y) = $33.50

Total cost = (number of tickets)*(price per ticket) + admission fees

y =0.75x + a

We can  calculate the cost for anyone who only pays for festival admission and rides.

c)

Put y = 33.50

x = 18

33.50 = 0.75*18 + a

33.50 = 13.5 + a

Solve for a,

Subtract 13.50  both the side

33.50 - 13.50 = 13.50-13.50 + a

20 = a

So, admission cost (a) = $20

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step-by-step explanation:

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .