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son4ous [18]
3 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]3 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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siniylev [52]

Answer:

a, (x^2)^3 = x^6 = x^2.x^4

b, x^5·x^7 = x^12 = (x^3)^4

c, x^4·x^22 = x^26 = (x^2)^13

d, (x^2)^8 = x^16 = x^2.x^14

e, x^10/x^3 = x^7 = x^20.x^(-13)

f, x^(-3) = x^4.x^(-7)

g, 1/x^(-3) = x^3 = x^4.x^(-1)

Hope this helps!

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6 0
3 years ago
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jenyasd209 [6]

Jenny is a full-time college student at the local university. She is debating whether to purchase renter’s insurance or not. In at least one paragraph, give Jenny 3 reasons why purchasing renter’s insurance is important. Also, give your recommendation on how much renter’s insurance she should purchase and why.a. Answers will vary. Jenny should purchase at least$11,050 worth of coverage to ensure that all of her belongings are covered.

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8 0
3 years ago
6. Craig and James both live 4 miles up a hill. Craig hikes uphill at a rate of 1 mile every two hours.
Iteru [2.4K]

Answer:

James

Step-by-step explanation:

James rate:

2x + 2 = 4

2x = 2

x = 1 hour

Rate = distance/time = 4/1 = 4 miles per hour

Craig's rate = 1/2 = 0.5 miles per hour

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6 0
3 years ago
Which ratio is equivalent to 10:85
Nata [24]
<span>First, find what are the numbers that can be divided to 10 and 85. The numbers 10 and 85 can be divided by 5. 10 divided by 5 is equals to 2 and 85 divided by 5 is equals to 17. Ratio is just like a fraction, you need to reduce its terms if you need to. Let’s say 10:85 is a fraction and since it is obvious that it can be divided by 5, you just need to reduce its term. 10/85 can be reduced into 2/17 which is just the same with ratios 10:85 is equals to 2:17.<span>
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5 0
3 years ago
Systems of equations with different slopes and different y-intercepts have more than one solution.
FrozenT [24]

Answer: OPTION C.

Step-by-step explanation:

The systems of linear equations can have:

1. <u>No solution:</u> When the lines have the same slope but different y-intercept. This means that the lines are parallel and never intersect, therefore, the system of equations has no solution.

2. <u>One solution</u>: When the lines have different slopes and intersect at one point in the plane. The point of intersection will be the solution of the system

3. I<u>nfinitely many solutions</u>: When the lines have the same slope and the y-intercepts are equal. This means that the equations represents the same line and there are infinite number of solution.

Therefore, based on the explained above, the conclusion is: Systems of equations with different slopes and different y-intercepts <em><u>never</u></em> have more than one solution.

7 0
3 years ago
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