a bank contains 27 coins consisting of dimes and quarters. the coins have a total value of $4.95. Find the number of dimes and quarters in the bank.


Answer 1
Answer: 12 dimes and 15 quarters
12 quarters and 10 dimes to make 4 dollars and
3 quarters and 2 dimes to make 95 cents
Answer 2

Final answer:

The bank has 15 quarters and 12 dimes.


This problem can be solved using systems of equations. Let's define the variables: let D represent the number of dimes and Q represent the number of quarters.

From the problem, we have two equations:

  • D + Q = 27 (the total number of coins)
  • 0.10D + 0.25Q = 4.95 (the total value of the coins)

Multiply the first equation by 0.10 to make the coefficients of D the same in both equations:

  • 0.10D + 0.10Q = 2.70

Subtract this from the second equation to find Q:

  • 0.15Q = 2.25. Consequently, Q = 15 quarters.

Substitute Q = 15 into the first equation to find D:

  • D + 15 = 27, hence D = 12 dimes.

Learn more about Systems of Equations here:



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What is 3/5 estimated to nearest whole number


Three fifths is less than one, but since it is greater than 1/2 three fifths is nearest to one.NOT SIXTY!!!3. 60— = —5. 10060/100 is NOT bigger than one.Instead, it is close to one but a fraction.Since it is bigger than 50/100, it would be rounded to 1.Hope this helped

Hi guys im new and struggleing for helpRashad is filling a toy box with wooden blocks that are each a unit cube size he filled the bottom layer of a toy box with 15 wooden blocks then he stacked two more wooden blocks on top of the bottom layer what is the total volume in cubic units of the toy box I will show the box on my profile picture


Volume of box = Length * width* height

Length = 5

Width = 3

Height = 3

5 * 3 * 3 = 45 cubic units
there is 45 cubic units.
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What is the area of this regular polygon a 16.8 b 23.4 c 46.8 d 49.2


There we multiply by 6 because there are six sides in a polygon
6* (2.6*3/2)
= 6* 3.9
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Therefore the answer will be option b (23.4)
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Which of the following coordinate points is the point of intersection of these two lines? y - 6x = -4 y - 2x = 8 Question 4 options: (−1/2, 7) (12/8,11) (9/6,5) (3, 14)


Option D: (3,14) is the point of intersection of the two lines.


The two equations are y-6 x=-4 and y-2 x=8

We need to find the point of intersection of the two lines.

Thus, let us solve the equation by substitution method.

From the equation y-6 x=-4, we shall determine the value of y, by adding both sides of the equation by 6x.

Hence, we have, y=6x-4

Now, substituting y=6x-4 in the equation y-2 x=8 , we get,

6x-4-2 x=8




Substituting x=3 in the equation y-6 x=-4, we get,

y-2 (3)=8



Thus, the point of intersection of the two lines is (3,14)

Therefore, Option D is the correct answer.

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What's 5hundreds5tens×10 in unit form


5hundreds and 5 tens is 550, so let say it like:


we know that when you multiply anything times ten you just add a zero to the end of the number, like this:


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