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yKpoI14uk [10]
2 years ago
15

Lian has $1.00. She has only nickels and dimes. Lian has twice as many dimes as nickels. How many dimes does she have?

Mathematics
1 answer:
Anna11 [10]2 years ago
5 0

Answer: 8

Step-by-step explanation:

Given

Lian has \$1.00 and she has twice as many dimes as nickels

Suppose she has x nickels

So, the number of dimes is 2x

Nickel is equivalent to 5 cents and dime is equivalent to 10 cent

\therefore \ x(0.05)+2x(0.1)=1\\\Rightarrow 0.05x+0.2x=1\\\Rightarrow 0.25x=1\\\Rightarrow x=4

Therefore she has 8 dimes with her.

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Step-by-step explanation:

The Law of Cosines is c^2=a^2+b^2-2ab cos(C), where c is the unknown side length of a triangle, a and b are the remaining two side lengths, and C is the angle opposite to side c. To answer this question just plug in the known values:

m^2=21^2+12^2-2(21)(12) cos(62)

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