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PIT_PIT [208]
3 years ago
8

41 coins, consisting of nickels and quarters, have a total value of $4.65. How many coins of each kind are there?

Mathematics
2 answers:
slavikrds [6]3 years ago
8 0

Answer:

4

Step-by-step explanation:

Sergeu [11.5K]3 years ago
3 0

Answer: 28 nickels and 13 quarters

Step-by-step explanation:

Let the number of nickels represented by x and the number of quarters represented by y.

Then according to the question, we have the following equations :

x+y=41....................(1)\\\\0.05x+0.25y=4.65.................(2)

Divide 0.05 on both sides  of equation (2), we get

x+5y=93........................(3)

Subtract equation (1) from equation (3) , we get

4y=52\\\\\Rightarrow\ y=13

From (1), x=28

Therefore, there are 28 nickels and 13 quarters.

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Answer:

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Step-by-step explanation:

3. There are a couple of ways you can go at this.

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The length MQ cannot be the height of ∆LMN. (It is too short.)

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4. To see if these lengths form a right triangle, you can test them in the Pythagorean theorem relation. In the attached we have reformulated the equation so it gives a value of 0 if the triangle is a right triangle:

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The same calculation done "by hand" gives ...

  (√425)² -5² -20² = 425 -25 -400 = 0 . . . Triangle 1 is a <em>right triangle</em>

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Step-by-step explanation:

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