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Cerrena [4.2K]
3 years ago
11

For the equation - 3x + 2 = 8 and the inequality

Mathematics
1 answer:
Anarel [89]3 years ago
8 0

Answer:

x= -2; x ≥ 2

Step-by-step explanation:

1. -3x+2=8

<u>Subtract +2 </u>on both sides

-3x+2<u>-2</u>=8<u>-2</u>

<u></u>

-3x=6     <u>Divide by -3 </u>on both sides

-<u>3x</u>/-3=6/<u>-3</u>

<u></u>

<u>x= -2 </u>

<u>-</u><u>2 is the answer for both the equation and inequality.</u>

<u />

<u>sorry i was lazy to do the inequality one, but it should be the same answer.</u>

<u />

<u>also ignore the fact that theres a line, i could not find the sign without one, o im sorry.</u>

<u></u>

<u></u>

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Answer:

<h2>36.14 pounds of 34% copper alloy and 9.86 pounds of 48% copper alloy</h2>

Step-by-step explanation:

        First alloy contains 34% copper and the second alloy contains 48% alloy.

We wish to make 46 pounds of a third alloy containing 37% copper.

       Let the weight of first alloy used be x in pounds and the weight of second alloy used be y in pounds.

       Total weight = 46\text{ }pounds=x+y        -(i)

      Total weight of copper = 37\%\text{ of 46 pounds = }34\%\text{ of }x\text{ pounds + }48\%\text{ of }y\text{ pounds }

       \dfrac{37\times 46}{100}=\dfrac{34x}{100}+\dfrac{48y}{100}\\\\ 34x+48y=1702        -(ii)

       Subtracting 34 times first equation from second equation,

34x+48y-34x-34y=1702-34\times46\\14y=138\\y=9.857\text{ }pounds \\x=36.143\text{ }pounds

∴ 36.14 pounds of first alloy and 9.86 pounds of second alloy were used.

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