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sattari [20]
3 years ago
12

six people share 3/5 pound of peanuts equally. what fraction of a pound of peanuts does each person receive?

Mathematics
2 answers:
Sergeu [11.5K]3 years ago
5 0
The amount of peanuts given was 3/5th of a pound of peanuts.
there are 6 people amongst which this amount should be divided equally.
therefore given amount should be divided by 6 so that each person gets an equal share
amount present - \frac{3}{5} of a pound 
divide by 6 
\frac{3}{5} * \frac{1}{6}
then numerators are multiplied by numerators and denominators multiplied by denominators 
\frac{3*1}{5*6} =  \frac{3}{30}
the fraction can be further simplified by dividing both numerator and denominator by common number which is 3
\frac{3/3}{30/3} = \frac{1}{10}
therefore fraction that each person receives is 1/10th of a pound 
Nady [450]3 years ago
3 0
It would be 1/10. Because you divide 3/5 ,which gives you .6. Then divide .6/6 and you'll get .1 which turns into a fraction of 1/10
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A: This polynomial has a degree of 2 , so the equation 12x2+5x−2=0 has two or fewer roots.

B: The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots.

Step-by-step explanation:

f(x) = 12x^2 + 5x - 2.

Since this is a quadratic equation, or a polynomial of second degree, one can easily conclude that this equation will have at most 2 roots. At most 2 roots mean that the function can have either 2 roots at maximum or less than 2 roots. Therefore, in the A category, 2nd option is the correct answer (This polynomial has a degree of 2 , so the equation 12x^2 + 5x − 2 = 0 has two or fewer roots).

To find the roots of f(x), set f(x) = 0. Therefore:

12x^2 + 5x - 2 = 0. Solving the question using the mid term breaking method shows that 12*2=24. The factors of 24 whose difference is 5 are 8 and 3. Therefore:

12x^2 + 8x - 3x - 2 = 0.

4x(3x + 2) -1(3x+2) = 0.

(4x-1)(3x+2) = 0.

4x-1 = 0 or 3x+2 = 0.

x = 1/4 or x = -2/3.

It can be seen that f(x) has two distinct real roots. Therefore, in the B category, 1st Option is the correct answer (The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots)!!!

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A.) 2, 7

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