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son4ous [18]
2 years ago
5

Ari watched 1 4 of a movie in the morning, and she watched some more at night. By the end of the day, she still had 1 3 of the m

ovie left to watch. How much of the movie did Ari watch at night?
Mathematics
1 answer:
Phantasy [73]2 years ago
8 0

Answer: Ari watched 5/12 of the movie at night.

Step-by-step explanation:

Let x represent the portion of the movie that Ari watched at night.

Ari watched 1 4 of a movie in the morning, and she watched some more at night. It means that the total portion she has watched already is 1/4 + x

The portion of the movie remaining for her to watch is

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

By the end of the day, she still had 1 3 of the movie left to watch. It means that

1/3 = 1 - (1 + 4x)/4

1/3 = (4 - 1 - 4x)/4

1/3 = (3 - 4x)/4

Cross multiplying by 3, it becomes

1 = 3(3 - 4x)/4

Multiplying through by 4, it becomes

4 = 3(3 - 4x)

4 = 9 - 12x

12x = 9 - 4

12x = 5

x = 5/12

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Lerok [7]

Step-by-step explanation:

We want to find two things-- the speed of the boat in still water and the speed of the current.  Each of these things will be represented by a different variable:

B = speed of the boat in still water  

C = speed of the current

Since we have two variables, we will need to find a system of two equations to solve.

How do we find the two equations we need?  

Rate problems are based on the relationship Distance = (Rate)(Time).


Fill in the chart with your data (chart attached)

The resulting speed of the boat (traveling upstream) is B-C miles per hour.  On the other hand, if the boat is traveling downstream, the current will be pushing the boat faster, and the boat's speed will increase by C miles per hour.  The resulting speed of the boat (traveling downstream) is B+C miles per hour.  Put this info in the second column in the chart.  Now plug it into a formula! <u>Distance=(Rate)(Time) </u>Now solve using the systems of equations!

6 0
2 years ago
What is the difference between x-12=y and y=x-12?
ANEK [815]
There no difference between x-12=y and y=x-12
8 0
3 years ago
Given the following expression, what is the rate of decay (write in decimal form, not as a percentage)? 15000 (.87)^7​
34kurt

Answer:

0.87

Step-by-step explanation:

y = ab^x

b is the rate of decay if it is between 0 and 1. Here, b = 0.87.

Answer: 0.87

6 0
2 years ago
Plz help me!!!!!!!!!!!!!
tigry1 [53]
If the formula is a+b-c then you need to substitute the letters with the numbers. For this equation the formula would be:
(1+3-4) + (2+5-6)
(4-4) + (7-6)
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2 years ago
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Answer:

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3 years ago
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