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Mkey [24]
2 years ago
9

Nathalie has some quarters, dimes, and nickels. The ratio of the number of quarters to the number of dimes to the number of nick

els that she has is $9:3:1$. The total value of these coins is $18.20. How many coins does Nathalie have?
Mathematics
1 answer:
Veronika [31]2 years ago
4 0

Answer:$18.20

Step-by-step explanation:

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The first factor (a^2) has a degree of : 2 because power of a is 2.

The second factor (2a^3) has a degree of : 3 because power of a is 3.

The third factor (a^2-8a + 9) has a degree of : 2 because highest power of a is 2.

Let us multiply them now:

(a^2)(2a^3)(a^2-8a + 9).

First we would multiply (a^2)(2a^3).

According to product rule of exponents, we would add the powers of a.

Therefore,

(a^2)(2a^3) = 2a^{2+3}= 2a^5

Now, we need to distribute 2a^5 over (a^2-8a + 9)

Therefore,

(2a^5)(a^2-8a + 9)= 2a^{5+2} -16a^{5+1}+18a^5

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Highest power of resulting polynomial 2x^7 -16a^6 +18a^5 is 7.

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2 years ago
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