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finlep [7]
3 years ago
11

Subtract

Mathematics
1 answer:
alexgriva [62]3 years ago
8 0

Answer:

A. 4x² - 2x + 11

Step-by-step explanation:

(4x² + 6) - (2x - 5) =

Drop the first set of parentheses since it is unnecessary.

= 4x² + 6 - (2x - 5)

To drop the second set of parentheses, you must change every sign inside the parentheses.

= 4x² + 6 - 2x + 5

Now combine like terms.

= 4x² - 2x + 11

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Byron can fill a drying rack with dishes in 15 minutes. While Byron fills the drying rack, Emmitt takes dishes out of the drying
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Hi!

The correct answer is d) 1 over 15 minus 1 over x equals x over 35.

Step-by-step explanation:

We know the amount of time that Byron can fill a drying rack with dishes: 15 minutes.

We know the amount of time that Byron can fill a drying rack with dishes while Emmitt is taking dishes out of the drying rack: 35 minutes.

We don't know the amount of time that Emmitt can take dishes out of the drying rack: x minutes.

So, if Byron is filling the drying rack in 15 minutes and Emmitt is taking out the dishes at x minutes, it takes 35 minutes to fill the drying rack.

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105x\frac{1}{15}-105x\frac{1}{x} =105x \frac{1}{35} <em>// simplifly</em>

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7x - 3x - 105 + 105 = 3x - 3x + 105 <em>// solve</em>

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\frac{4x}{4} =  \frac{105}{4} <em>// solve</em>

x =  26.25

It makes sense that Byron fills the rack faster than Emmitt empties the rack.

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