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Vlada [557]
3 years ago
10

A bank contains 35 coins, all nickels and quarters. The total value of coins is $8.15. How many of each coin does the bank conta

in?
Mathematics
1 answer:
Lina20 [59]3 years ago
5 0

n + q = 35

n = 35-q

0.05n + 0.25q = 8.15

0.05(35-q) +0.25q = 8.15

1.75 -0.05q + 0.25q =8.15

1.75 + 0.20q = 8.15

0.20q = 6.40

q = 6.40 / 0.20 = 32

32 quarters and 3 nickels

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Free 11 point, take it or leave it.
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thanks for the free points

Step-by-step explanation:

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I need help with this.
Thepotemich [5.8K]

Answer:

The volume of a triangular pyramid is 24 cubic inches. The base is a right triangle with a length

of 4 inches and height of 3 inches. What is the height of the pyramid, in inches?

Step-by-step explanation:

The volume of a triangular pyramid is 24 cubic inches. The base is a right triangle with a length

of 4 inches and height of 3 inches. What is the height of the pyramid, in inches?

The volume of a triangular pyramid is 24 cubic inches. The base is a right triangle with a length

of 4 inches and height of 3 inches. What is the height of the pyramid, in inches?

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15. Divide the polynomial x^3 + x^2 - 2x + 3 by (x - 1).​
Stels [109]

Answer:

x² + 2x + [3\x - 1]

Step-by-step explanation:

Since the divisor is in the form of <em>x - c</em>, use what is called <em>Synthetic Division</em>. Remember, in this formula, -c gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:

1| 1 1 -2 3

↓ 1 2 0

------------------

1 2 0 3 → x² + 2x + [3\x - 1]

You start by placing the <em>c</em> in the top left corner, then list all the coefficients of your dividend [x² + 5x - 36]. You bring down the original term closest to <em>c</em> then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder, which in this case is a 3, so what you is set the divisor underneath the remainder of 3. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an x², 2 becomes <em>2x</em><em>,</em><em> </em>and the remainder of 3 is set over the divisor, giving you the other factor of <em>x² + 2x + [3\x - 1]</em>.

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