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Oksana_A [137]
3 years ago
11

Six is less than or equal to the sum of 4 and -2x

Mathematics
1 answer:
lukranit [14]3 years ago
3 0
6 ≤ 4 + (-2x)
6 (-4) ≤ 4 - 2x - 4
4 and 4 cancels out
2 ≤ -2x

-1≥x


When you divide by a negative number, the inequality sign turns to the other side.



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Answer:

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Step-by-step explanation:

Represent the number by n.

Then:

8(n + 18) = 16

Performing the indicated multiplication, we get:

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Dividing both sides by 8:  n = -128/8  =  -16

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The chemistry class was making 300 gallons of 30% isopropyl alcohol. They mixed 12% with 42%. How much of each did they use?
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Answer:

<u>The chemistry class mixed 120 gallons of 12% isopropyl alcohol and 180 gallons of 42% isopropyl alcohol.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Amount of isopropyl alcohol made by the chemistry class = 300 of 30%

Amount of 12% isopropyl alcohol mixed by the chemistry class = x

Amount of 42% isopropyl alcohol mixed by the chemistry class = 300 - x

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Let's write our equation to solve for x, this way:

30% = 0.3, 12% = 0.12, 42% = 0.42

0.12x + 0.42 (300 - x) = 0.3 * 300

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-0.3x = -36

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<u>Let's prove x = 120 is correct</u>

0.12x + 0.42 (300 - x) = 0.3 * 300

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<u>We proved x = 120 is correct</u>

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