Nolan and Mia work at a dry cleaners ironing shirts. Nolan can iron 25 shirts per hour, and Mia can iron 35 shirts per hour. Mia worked twice as many hours as Nolan and they ironed 380 shirts between them. Determine the number of hours Nolan worked and the number of hours Mia worked.

Answers

Answer 1

Answer: Nolan worked 4 hours, and Mia worked 8 hours

Step-by-step explanation:

Step-by-step explanation:

Let x represent the number of hours Nolan worked.

Let y represent the number of hours Mia worked.

Mia worked twice as many hours as Nolan. This means that

y = 2x

Nolan can iron 25 shirts per hour, and Mia can iron 35 shirts per hour. Together, Nolan and Mia ironed 380 shirts between them. This means that

25x + 35y = 380 - - - - - - - - - - - - - -1

Substituting y = 2x into equation 1, it becomes

25x + 35 × 2x = 380

25x + 70x = 380

95x = 380

x = 380/95

x = 4

y = 2x = 2 × 4

y = 8


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Answer:

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Step-by-step explanation:

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Answers

Answer:

[tex]Probability = \frac{8}{25}[/tex]

Step-by-step explanation:

Given

See attachment for graph

Required

Determine the probability of getting a score of 8 - 11 points in the next game

From the attachment, the frequency of the class 8 - 11 is:

[tex]Class\ 8 - 11 = 8[/tex]

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Answers

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Answers

Answer:hour 1 500, hour 2 1000, hour 3 2000 , hour 4 4000

Step-by-step explanation:

After 1 hour 500 bacteria split into 500 bacteria.

After 2 hour 500 bacteria split into 1000 bacteria.

After 3 hour 500 bacteria split into 1500 bacteria.

After 4 hour 500 bacteria split into 2000 bacteria.

Given that,

In a biology lab, 500 bacteria reproduce by splitting.

Every hour, on the hour, each bacterium splits into two bacteria.

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At the end of the 3 hour, each of the 500 bacteria will split in to 2 more bacteria. So, n(3)  = 500 x 3  = 1500 bacteria After 3 hour 500 bacteria split into 1500 bacteria.

At the end of 4 hours, each of the 500 bacteria spilt into 2 more bacteria.

       So,  n(4)  = 4 × 500 = 2000 bacteria

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Answer:

Step-by-step explanation:

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Answer:

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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