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3 years ago

6

Translate the following sentence into an algebraic inequality: The quotient of a number, x, and nine is less than eight more tha

n the product of five and the same number x.

1 answer:

dusya [7]3 years ago

8 0

Answer:

x/9-8x+5x

Step-by-step explanation:

I can't help but to solve it:

x/9=9x

9x-8x+5x=6x

= 6x

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To find:

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Solution:

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$\begin{gathered} \frac{r}{2.7}=\frac{20}{20-8} \\ \frac{r}{2.7}=\frac{20}{12} \\ \frac{r}{2.7}=\frac{5}{3} \\ r=4.5 \end{gathered}$

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$\begin{gathered} V=\frac{1}{3}\pi R^2H-\frac{1}{3}\pi r^2h \\ =\frac{1}{3}\pi(R^2H-r^2h) \\ =\frac{1}{3}\pi((4.5)^2(20)-(2.7)^2(12)) \\ =\frac{1}{3}\cdot\frac{22}{7}(405-87.48) \\ =\frac{22}{21}(317.52) \\ =332.64cm^2 \end{gathered}$

The volume of water when the cup is full is 332.64 cm^2.

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