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Reil [10]
2 years ago
11

Carlos and Michael are collecting baseball cards. Carlos has 85 and buys 10 more each week. Michael has 120 and receives 5 more

from his uncle every week. When will Carlos and Michael have the same amount?
Mathematics
1 answer:
GarryVolchara [31]2 years ago
5 0

Answer:

Michael and Carlos will have the same amount after 7 weeks

Step-by-step explanation:

Assume the total number of baseball cards that Carlos and Michael need to have to be equal is y, and the amount of time in terms of weeks that it will take for this to be achieved is x.

The following expressions can be derived

For Carlos to achieve y, he will need 85 and an addition of 10 per week (x):

y=85+(10x)..........equation 1

For Michael to achieve y, he will need 120 and an addition of 5 per week (x):

y=120+(5x)..........equation 2

Equating equation 1 and 2 to solve for x

85+10x=120+5x

10x-5x=120-85

5x/5=35/5

x=7

Number of weeks it will take Michael and Carlos to have the same amount=x=7 weeks

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Answer:

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Step-by-step explanation:

This is a case of binomial probability with n = 64, p = 0.10 and x = 3.  This means that the probability of a cancellation is 10%.  Here, we can find the probability that more than 3 cancellations or no shows will occur by finding binompdf(64,0.10, 0) + binompdf(64,0.10, 1) + binompdf(64,0.10, 2) + binompdf(64,0.10, 3) and then subtracting this sum from 1.000.  

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Read 2 more answers
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Answer:

Part A: option C. 135.2°F

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Step-by-step explanation:

<em>Part A:</em><em> What is the temperature in degrees Fahrenheit of the soup after 25 minutes?</em>

<u>1. Set an equation</u>:

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  • decrease in temperature = rate of decrease × time
  • Variables:

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        initial temperature: To = 192.7°F

        decrease rate: 2.3°F / min

        time = t

  • Equation: T = 192.7°F - 2.3(°F/min) × t

2.<u> Substitute t = 25 min</u>

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Part B. <em>How many minutes will it take for the soup to cool to 100.7°F?</em>

2.<u> Solve the equation for t</u>

  • T = 192.7°F - 2.3(°F/min) × t ⇒ t = (192.7 °F - T) / (2.3 °F/min)

3. <u>Substitute T = 100.7°F</u>

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Step-by-step explanation:

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