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Sladkaya [172]
3 years ago
6

I thought of a number, added 3 2/7 to it, then I multiplied the result by 1 1/2 , and got

Mathematics
1 answer:
horsena [70]3 years ago
5 0

Answer:

\frac{25}{21}

Step-by-step explanation:

First let's convert the mixed numbers into improper fractions.

3\frac{2}{7}=\frac{23}{7}

1\frac{1}{2}=\frac{3}{2}

6\frac{5}{7}=\frac{47}{7}

Let the number be n, so we can write an equation from the word problem as:

(n+\frac{23}{7})*\frac{3}{2}=\frac{47}{7}

Now, we do algebra and solve for n:

(n+\frac{23}{7})*\frac{3}{2}=\frac{47}{7}\\\frac{3}{2}n+\frac{69}{14}=\frac{47}{7}\\\frac{3}{2}n=\frac{47}{7}-\frac{69}{14}\\\frac{3}{2}n=\frac{25}{14}\\n=\frac{\frac{25}{14}}{\frac{3}{2}}\\n=\frac{25}{14}*\frac{2}{3}\\n=\frac{50}{42}\\n=\frac{25}{21}

hence the number is 25/21

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Answer:

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3 years ago
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PSYCHO15rus [73]

Answer:

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Step-by-step explanation:

since the volume of a cylinder is

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the cost function is

Cost = cost of side material * side area  + cost of top and bottom material * top and bottom area

C = a* 2*π*R*L + b* 2*π*R²

replacing the value of L

C = a* 2*π*R* V/ (π*R²) + b* 2*π*R²  = a* 2*V/R + b* 2*π*R²

then the optimal radius for minimum cost can be found when the derivative of the cost with respect to the radius equals 0 , then

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3 years ago
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Answer:

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Dianes age is 65 years old.

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2 years ago
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