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zavuch27 [327]
3 years ago
13

A pro baseball team is having a promotion in which every 10th fan that enters the stadium gets a free hat and every 12th person

gets a free T-shirt .
How many fans Will come into the stadium before a fan receives both a hat and a T- shirt ?
Mathematics
1 answer:
mixas84 [53]3 years ago
3 0
Multiples of 10 = 10, 20, 30, 40, 50, 60
This means the 10th, 20th, 30th, 40th, 50th, 60th, ... fan will get a free hat.
Multiples of 12 = 12, 24, 36, 48, 60
This means the 12th, 24th, 36th, 48th, 60th, ... fan will get a free shirt.
So the 60th fan will receive both a hat and a shirt.
Meaning 60 fans will come to the stadium before a fan receives both a hat and a shirt.
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Answer:

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Step-by-step explanation:

Given:

The average cost of a computer in the year 2000 is given as:

C=-5t^2+750

The average cost of a computer in the year 2008 is given as:

C=-10t^2+500

Now, the difference in average cost between the years 2008 and 2000 can be calculated by subtracting the average cost in 2000 from the average cost in 2008.

Framing in equation form, we get:

Difference in average cost (ΔC) is given as:

\Delta C=C_{2008}-C_{2000}\\\\\Delta C= (-10t^2+500)-(-5t^2+750)\\\\\textrm{Distributing the megative sign inside the second polynomial, we get:}\\\\\Delta C=-10t^2+500+5t^2-750\\\\\textrm{Grouping like terms, we get}\\\\\Delta C=(-10t^2+5t^2)+(500-750)\\\\\Delta C=-5t^2-250

Therefore, the difference in the costs for a computer between 2008 and 2000 is \Delta C=-5t^2-250

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