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vladimir1956 [14]
3 years ago
14

Janet has three times as many dimes as nickels and twice as many quarters as nickels. If she has $3.40 in all, how many nickels,

dimes, and quarters does she have? If n represents the number of nickels Janet has, which of the following equations could be used to solve the problem?
Mathematics
1 answer:
lord [1]3 years ago
6 0
Let N be no. of nickles. Then N($.05)+3N($.10)+2N($.25)=$3.40.

Or

4 nickels = $0.20
12 dimes = $1.20
8 Quarters = $2.00

Total = $3.40

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Answer:

No Real Solutions

Step-by-step explanation:

So we have:

x-2\sqrt{x-3}=0

First, determine the domain restrictions. The expression under the radical cannot be less than 0. Therefore:

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Therefore, our final answers must be greater than or equal to 3:

Now, going back to the original equation, subtract x from both sides:

-2\sqrt{x-3}=-x

Now, square both sides:

4(x-3)=x^2

Distribute:

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Subtract 4x and add 12 to both sides:

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This isn't factor-able. Let's use the quadratic formula. a is 1, b is -4 and c is 12:

x= \frac{-b \pm \sqrt{b^2-4ac}}{2a}

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Simplify the radical:

x=\frac{4\pm\sqrt{-32}}{2(1)}

The number under the radical is negative. In other words, there are no real solutions.

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Step-by-step explanation:      


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Step-by-step explanation:


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Answer:

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Step-by-step explanation:

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Answer:

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