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34kurt
4 years ago
7

Tanner watched 1/4 of a movie in the morning, and he watched some at night. By the end of the day, he still had 2/3 of the movie

to watch. How much of the movie did he watch at night?
Mathematics
1 answer:
bazaltina [42]4 years ago
6 0

Answer: he watched 1/12 of the movie at night.

Step-by-step explanation:

Let x represent how much of the movie that he watched at night.

Tanner watched 1/4 of a movie in the morning, and he watched some at night. This means that she had already watched

x + 1/4 = (4x + 1)/4 of the movie by the end of the day. Therefore, what he has left to watch would be

1 - (4x + 1)/4 = [4 - (4x + 1)]/4

= (3 - 4x)/4

By the end of the day, he still had 2/3 of the movie to watch, it means that

(3 - 4x)/4 = 2/3

Cross multiplying, it becomes

3(3 - 4x) = 4 × 2

9 - 12x = 8

12x = 1

x = 1/12

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For the first field, he will need 40 m for the fence, this will cost £640 and he can have 10 sheep. For the second field, he will need 60 m for the fence, this will cost  £960 and he can have 12 sheep.

<h3>What does this problem require?</h3>

This problem requires you to calculate the perimeter and area of each field and based on this information you can find the total of the fence the farmer requires, the cost, and the number of sheep.

<h3>How to calculate the perimeter?</h3>

You can calculate the perimeter by adding all the sides.

  • Field 1: 10m + 10m + 10m + 10m = 40 m
  • Field 2: 25m + 5m + 25m + 5m = 60 m

<h3>How to calculate the area?</h3>

To calculate the area, multiply the height by the width.

  • Field 1: 10 x 10 = 100m2
  • Field 2: 25 x 5 = 125m2

<h3>How much fencing does the farmer need?</h3>

The fencing needed is equal to the perimeter.

  • Field 1: 40 m of fencing
  • Field 2: 60 m of fencing

<h3>How much will it cost?</h3>

Multiply the number of meters needed by the price per meter ( £16 per meter).

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  • Field 2: 60 m x £16 per meter = £960

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To calculate this divide the area into the space required by each sheep (10m2).

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Note: This question is incomplete; here is the missing information:

Farmer Gump has two problems. His first problem is to work out how much fencing he needs to buy for his fields so his sheep don’t escape. His second problem is to work out how many sheep each field can hold—each sheep needs a minimum of 10m² of grass!

Sheep cost £65 each.

The fence is £16 per meter.

Learn more about perimeter in: brainly.com/question/6465134

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Answer:

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Step-by-step explanation:

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this means that x=20!

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