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dimulka [17.4K]
3 years ago
13

Use the following situation for the next few questions:

Mathematics
1 answer:
Olegator [25]3 years ago
4 0

Answer:

5 oil changes.

Step-by-step explanation:

60 = 12x + 15y

60 = 12x + 15(0)

60 = 12x + 0

60

---- = x

12

5 = x

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Write the next three terms of the arithmetic sequence.
JulijaS [17]

The next three terms are: 1/6 , 0 and -1/6

Step-by-step explanation:

Given sequence is:

\frac{5}{6} , \frac{2}{3} ,\frac{1}{2}, \frac{1}{3} ...

First of all, we have to find the common difference

here\\a_1 = \frac{5}{6}\\a_2 = \frac{2}{3}\\a_3 = \frac{1}{2}\\a_4 = \frac{1}{3}\\d = a_2-a_1 = \frac{2}{3} -\frac{5}{6} = \frac{4-5}{6} = -\frac{1}{6}\\d = a_3 - a_2 = \frac{1}{2} - \frac{2}{3} = \frac{3-4}{6} = =\frac{1}{6}

The common difference is -1/6

We can simply add -1/6 to the previous term to find the next terms so,

Adding -1/6 to 1/3

\frac{1}{3} - \frac{1}{6} = \frac{2-1}{6} = \frac{1}{6}\\\frac{1}{6} - \frac{1}{6} = 0\\0-\frac{1}{6} = -\frac{1}{6}

Hence,

The next three terms are: 1/6 , 0 and -1/6

Keywords: Arithmetic sequence, common difference

Learn more about arithmetic sequence at:

  • brainly.com/question/2495851
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The residents of a city voted on whether to raise property taxes. The ratio of yes to no votes was 5 to 6. If there were 5698 to
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Answer:

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Which choice most effectively sets up the
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Option D. However, despite its many utilitarian benefits, colleges have not always supported the study of philosophy.

Which choice most effectively sets up the information that follows?

  • Despite philosophy teaching useful tools for academic and professional achievement, only 18 percent of the American colleges incorporated the course within curriculum, thus indicating their lack of support.
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Ruben is buying bricks for a project. He knows that 5 bricks weigh 26 1/4 lb. He wants to know the weight of 24 bricks. What is
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