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andriy [413]
3 years ago
7

keisha bought 1/6 tank of gas in the morning on her way to work. she added 3/4 tank on her way home from work. what fraction of

a take of gas did she buy all together
Mathematics
1 answer:
larisa [96]3 years ago
6 0
1/6 x 2 = 2/12
3/4 x 3 = 9/12
2/12 + 9/12 = 11/12

Altogether, Keisha bought 11/12 of a tank of gas.
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Which of these describes the equation –18x + 9y = –416?
Minchanka [31]

Answer:

We conclude the equation is linear because it can be rewritten in the form y = mx + b.

Hence, option D is correct.

Step-by-step explanation:

The slope-intercept form of the line or linear equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

<u>Important Tip:</u>

The graph of a linear equation is always a straight line.

Convert the given equation in the slope-intercept form

18x + 9y = -416

subtract 18x from both sides

18x+9y-18x = - 18x-416

simplify

9y = -18x - 416

divide both sides by 9

y=-2x-\frac{416}{9}

Now, comparing the equation y=-2x-\frac{416}{9} with a slop-intercept form of linear equation

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  • The y-intercept b = -416/9

Therefore, we conclude the equation is linear because it can be rewritten in the form y = mx + b.

From the attached graph, is also clear that the graph of the equation y=-2x-\frac{416}{9} is a straight line.

Hence, option D is correct.

3 0
3 years ago
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lilavasa [31]

Answer:

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Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

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trapecia [35]
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Reorder the terms in parentheses
3-2x+5=+(-4x-8)

Remove unnecessary parentheses
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We move all terms containing x to the left and all other terms to the right.
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We simplify left and right side of the equation.
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Nastasia [14]

Answer:

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