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Allisa [31]
3 years ago
11

A package of dental floss contains 25m of floss. How many yards of floss are in the package? If a dental hygienist uses about 18

inches of floss for each patient, how many patients can be cleaned with one package of floss?
Mathematics
1 answer:
svet-max [94.6K]3 years ago
7 0
25m. = 27.3403yd. of floss in the package. 27.3403yd. = 984.2508in. of floss.
If a hygenist uses 18in. of floss for each patient, 18 / 984.2508 = 54.6806 patients. Hope this helps.
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\sqrt{4x+41}=x+5

on squaring both sides

4x+41=(x+5)^2\\\\4x+41=x^2+10x+25\\\\x^2+6x-16=0\\\\x^2+8x-2x-16=0\\\\x(x+8)-2(x+8)=0\\\\(x-2)(x+8)=0

either x-2=0  or  x+8=0

either x=2 or x=-8

Putting x=2 in original equation, we get

\sqrt{4\times 2+41}=2+5

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Putting x=-8 in original equation

\sqrt{4\times (-8)+41}=-8+5

i.e. 3=-3

Hence, x=-8 is an extraneous solution (since it doesn't satisfy the original equation)

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