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Savatey [412]
3 years ago
10

A sheet of notebook paper is approximately 0.003 in. thick. Tear the sheet in half so that there are two sheets. Repeat so that

there are four sheets. Repeat again so that there are 8 sheets. Continue in this fashion until the paper has been halved 50 times. If it were possible to complete the process, how high would the final pile be?
Mathematics
1 answer:
geniusboy [140]3 years ago
3 0

Answer:

3.3776997 x 10¹² inches high

Step-by-step explanation:

The number of sheets obtained after each tear (N) is described by an exponential relationship, where 'n' is the number of tears:

N=2^n

For n = 50:

N=2^{50}\\N=1.1258999*10^{15}

If each sheet is 0.003 in thick, the stack would have a height of:

h = 1.1258999*10^{15}*0.003\\h= 3.3776997*10^{12}\ in

The final pile would be 3.3776997 x 10¹² inches high.

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gizmo_the_mogwai [7]

Question:

The local community theater sold a total of 240 tickets for Saturday night’s performance. They sold 180 more full-price tickets than discount tickets. Which system of equations can be used to model this situation?

Answer:

x = 180 + y

x + y = 240

Step-by-step explanation:

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Tickets = 240

Represent the number of full price with x and discounted price with y.

From the question:

x = 180 more than y

So:

x = 180 + y

Also, a total of 240 were sold.

So:

x + y = 240

Hence, the equations are:

x = 180 + y

x + y = 240

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Substitute 180 + y for x in x + y = 240

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<em />

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