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ololo11 [35]
2 years ago
13

Charlie watched 1 3 of a movie in the morning, and he watched some more at night. By the end of the day, he still had 2 5 of the

movie left to watch. How much of the movie did Charlie watch at night?
Mathematics
1 answer:
Finger [1]2 years ago
3 0

Answer: 4/15 of the movie

Step-by-step explanation:

In the morning, Charlie watched ¹/₃ of a movie. He then watched some more at night.

At the end of the day, he still had ²/₅ of the movie to watch.

The proportions of an item must always add up to one. This means that if you added the 1/3 to the 2/5 and then to the fraction Charlie watch at night, they should add up to one.

¹/₃ + ²/₅ + x = 1

x = 1 - ¹/₃ - ²/₅

x = \frac{15 - 5 - 6 }{15} \\\\x = \frac{4}{15}

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One side of an equilateral triangle is
RoseWind [281]

Answer:

3.5

Step-by-step explanation:

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3 years ago
The perimeter of a triangle garden is 54 feet. Find the length of the three sides if the middle length side is 4 feet greater th
jeka94

9514 1404 393

Answer:

  9 ft, 22 ft, 23 ft

Step-by-step explanation:

Let s represent the length of the shortest side. Then the middle length side is (2s+4) and the longest side is (3s-4). The perimeter is the sum of the side lengths:

  54 = s +(2s +4) +(3s -4)

  54 = 6s . . . . . . . . . . . . . . collect terms

  9 = s . . . . . . . . . . divide by 6

  2s+4 = 2·9 +4 = 22

  3s -4 = 3·9 -4 = 23

The lengths of the three sides are 9 feet, 22 feet, and 23 feet.

6 0
2 years ago
Find the slope given the following ordered <br><br> 2,-3 and 6,-13
saw5 [17]

You would have to use this equation : y2-y1/x2-x1 = slope

So it would be -13 +3/6-2= -10/4

Simplify it and you get : -5/2

Slope is -5/2

7 0
2 years ago
Read 2 more answers
I need some help with this problem, I am supposed to solve for x
harina [27]
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3 0
3 years ago
Bad gums may mean a bad heart. Researchers discovered that 82% of people who have suffered a heart attack had periodontal diseas
saveliy_v [14]

Answer:

37.27% probability that he or she will have a heart attack.

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Periodontal disease

Event B: Heart attack

Researchers discovered that 82% of people who have suffered a heart attack had periodontal disease, an inflammation of the gums.

This means that P(A|B) = 0.82

Only 33% of healthy people have this disease.

This means that P(A) = 0.33

Suppose that in a certain community heart attacks are quite rare, occurring with only 15% probability.

This means that P(B) = 0.15

If someone has periodontal disease, what is the probability that he or she will have a heart attack

P(B|A) = \frac{0.15*0.82}{0.33} = 0.3727

37.27% probability that he or she will have a heart attack.

6 0
3 years ago
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