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diamong [38]
3 years ago
14

An inequality is shown: −np − 4 ≤ 2(c − 3) Which of the following solves for n?

Mathematics
1 answer:
sesenic [268]3 years ago
6 0

Answer:

\huge\boxed{n\leq\dfrac{2-2c}{p}\ \text{for}\ p0}

Step-by-step explanation:

-np-4\leq2(c-3)\qquad\text{use the distributive property}\\\\-np-4\leq2c-6\qquad\text{add 4 to both sides}\\\\-np\leq2c-2\qquad\text{change the signs}\\\\np\geq2-2c\qquad\text{divide both sides by}\ p\neq0\\\\\text{If}\ p0 ,\ \text{then}\\\boxed{n\geq\dfrac{2-2c}{p}}

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Answer:

Sum = 15 8/15, Difference = 1 2/15

Step-by-step explanation:

8⅓, 71/5

A. Sum

8⅓ + 7 1/5

Convert to improper fraction

25/3 + 36/5

Find the LCM of 3 and 5. The result is 15. Divide 15 by the denominator of each fraction and multiply the result obtained with the numerator. The result is shown below:

[(25×5) + (36×3)] / 15

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Convert to mixed fraction

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B. Difference

8⅓ – 7 1/5

Convert to improper fraction

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[(25×5) – (36×3)] / 15

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17 / 15

Convert to mixed fraction

1 2/15

SUMMARY:

Sum = 15 8/15, Difference = 1 2/15

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0.007407 in standard form​
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Step-by-step explanation:

To convert 0.007407 into scientific notation, follow these steps:

Move the decimal 3 times to right in the number so that the resulting number, m = 7.407, is greater than or equal to 1 but less than 10

Since we moved the decimal to the right the exponent n is negative

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Write in the scientific notation form, m × 10n

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Answer:

<h2>80 cm²</h2><h2 />

Step-by-step explanation:

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A2 = 5 cm x 4 cm = 20 cm²

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