Seth’s father is thinking of buying his son a six-month pass for $40. with the pass, matinees cost 1.00. if matinees are normally $3.50 each, how many times must seth attend in order for it to benefit his father to buy the pass?

The number of times Seth attend in order for the benefit his father to buy the pass is 2.8 times .

Step-by-step explanation:

Given as :

The price for six month pass = $ 40

The cost of matinees with the pass = $ 1.00

The cost of matinees without pass = $ 3.50

Now, According to question

If we take matinees per day for six months so, number of matinees = 6 × 30 = 180

So, The cost of matinees for six month with pass at the rate $ 1.00 each = 180 × $ 1 + $ 40

I.e The cost of matinees for six month with pass $ 220

Now, Again

The cost of matinees for six month without pass at the rate $ 3.50 each = 180 × $ 3.50

I.e The cost of matinees for six month without pass at the rate $ 3.50 each = $ 630

So, The number of times Seth attend in order for the benefit = = 2.8

Hence  The number of times Seth attend in order for the benefit his father to buy the pass is 2.8 times . Answer

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

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