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Nana76 [90]
2 years ago
7

Suppose that there are two types of tickets to show advance and same day the combine cost of one advanced ticket and one same da

y ticket to $70 for one performance 30 advance tickets and 25 same day tickets were sold the total amount paid for the tickets was $1950. what was the price of each kind of ticket
Mathematics
1 answer:
Assoli18 [71]2 years ago
3 0

Answer:

Step-by-step explanation:

x = advance and y = same day

x + y = 70.......x = 70 - y

30x + 25y = 1950

30(70 - y) + 25y = 1950

2100 - 30y + 25y = 1950

-5y = 1950 - 2100

-5y = - 150

y = -150/-5

y = 30 <===== there were 30 same day tickets

x + y = 70

x + 30 = 70

x = 70 - 30

x = 40 <==== there were 40 advance tickets

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A stuntman jumping off a 20-m-high building is modeled by the equation h = 20 – 5t2, where t is the time in seconds. A high-speed camera is ready to film him between 15 m and 10 m above the ground. For which interval of time should the camera film him?

Answer:

1\leq t\geq \sqrt{2}

Step-by-step explanation:

Given:

A stuntman jumping off a 20-m-high building is modeled by the equation

h =20-5t^{2}-----------(1)

A high-speed camera is ready to making film between 15 m and 10 m above the ground

when the stuntman is 15m above the ground.

height h = 15m  

Put height value in equation 1

15 =20-5t^{2}

5t^{2} =20-15

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t^{2} =1

t =\pm1

We know that the time is always positive, therefore t=1

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Therefore ,time interval of camera film him is 1\leq t\geq \sqrt{2}

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A circle has a diameter of 12 inches. What is its area in terms of π?
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