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kolbaska11 [484]
3 years ago
15

Aiden has a collection of 63 nickels and quarters in his piggy bank. If the total value of the coins is $10.75, how many nickels

does he have?
Please answer the question and show wok!
Mathematics
1 answer:
vovangra [49]3 years ago
8 0
<span>n + q = 63 coins

</span><span>5n + 25q = 1075 (do this in cents)

</span><span>5n + 25q = 1075
-(5n + 5q = 315)

</span><span>20q = 760

</span><span>q = 38 quarters

</span><span>n = 25 nickels<span>
</span></span>
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M_x= 8

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Therefore the co-ordinate of the center of mass is = (\frac{4}{5},\frac{3}{5})

Step-by-step explanation:

Center of mass: Center of mass of an object is a point on the object. Center of mass is the average position of the system.

Center of mass of a triangle is the centriod of a triangle.

Given that m₁= 4, m₂=3, m₃=3 and the points are P₁(2,-3), P₂(-3,1) and P₃(3,5)

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M_y = ∑(mass × y-co-ordinate)

Therefore  

M_x = (4×2)+{3×(-3)}+(3×3)

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M_y = {4×(-3)}+{3×1}+(3×5)

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The x co-ordinate of the center of mass is the ratio of M_x to the total mass.

The y co-ordinate of the center of mass is the ratio of M_y to the total mass.

Total mass (m) = m₁+ m₂+ m₃

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The x co-ordinate of the center of mass is \frac {8}{10} = \frac {4}{5}

The y co-ordinate of the center of mass is \frac{6}{10}=\frac{3}{5}

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