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Mashcka [7]
3 years ago
6

A number x multiplied by 4/7 is less than 12/5

Mathematics
1 answer:
morpeh [17]3 years ago
7 0

Step-by-step explanation:

a \: number \: x \: multiplied \: by \:  \frac{4}{7 }  \\ x \times  \frac{4}{7 }  \\ is \: less \: than \frac{12}{5}  \\ x \times  \frac{4}{7 }  <  \frac{12}{5}  \\ multiply \: through \:b y \: the \: l.c.m \: which \: is \: 35 \\ 35 \times x \times 35 \times  \frac{4}{7}  <  \frac{12}{5}  \times 35 \\ simplify \\ 35x \times 5 \times 4 < 12 \times 7 \\ 35x \times 20 < 84 \\ 700x < 84 \\  \frac{700}{700} x <  \frac{84}{700 }  \\ x <  \frac{84}{700} or \: 0.12

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Answer:

Note:  The expression "h =300- pi r /pi r" would equate to 299, as written.  I find h = (300 - πr^{2} )/πr to be the equation for height.

Step-by-step explanation:

The total surface area of a sylinder is 2πr(h+r) where h is the height and r is the radius.  That consists of top and bottom disks, each with an area of πr^{2}, for a total of 2πr^{2}.  The side is a  continous sheet that has an area of 2πrh, where h is the height.  2πr is the circumference of the can, so the surface area of the side is 2πrh.

The total surace area of a closed cylinder is therefore 2πr^{2} + 2πrh.

2πr^{2} + 2πrh = 600

πr^{2} + πrh = 300

πrh = 300 - πr^{2}

h = (300 - πr^{2} )/πr

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