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DaniilM [7]
3 years ago
6

How many different ways can you make 50 cents if you have 1 quarter, 5 dimes, and 10 nickels?

Mathematics
1 answer:
german3 years ago
5 0

Answer: There are 10 different ways!  

Explanation:

You need to find non-negative numbers N, D, and Q so that:

5N + 10D + 25Q = 50  

N + 2D + 5Q = 10

 

Q = 0 , 1 , 2  

 If Q = 1, then you have:

N + 2D = 5  

Q = 1 , D = 2 , N = 1

Q = 1 , D = 1 , N = 3

Q = 1 , D = 0 , N = 5

 N + 2D = 10  

This gives the last solutions:

Q = 0 , D = 5 , N = 0

Q = 0 , D = 4 , N = 2

Q = 0 , D = 3 , N = 4

Q = 0 , D = 2 , N = 6

Q = 0 , D = 1 , N = 8

Q = 0 , D = 0 , N = 10

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4

Step-by-step explanation:

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d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

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3 years ago
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a sequence starts a 200 and 30 is subtracted each time 200,170,140 what are the first two numbers in the sequence that are kess
Snowcat [4.5K]
<h3>Answer:  -10 and -40</h3>

===============================================================

Explanation:

a = 200 = first term

d = -30 = common difference

Tn = nth term

Tn = a + d(n-1)

Tn = 200 + (-30)(n-1)

Tn = 200 - 30n + 30

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Set Tn less than 0 and isolate n

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230 < 30n

30n > 230

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n > 7.667 approximately

Rounding up to the nearest whole number gets us n \ge 8

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We can see that,

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and

Tn = -30n + 230

T8 = -30*8 + 230

T8 = -10 is the 8th term

and lastly

Tn = -30n + 230

T9 = -30*9 + 230

T9 = -40 is the ninth term

Or once you determine that T7 = 20, you subtract 30 from it to get 20-30 = -10 which is the value of T8. Then T9 = -40 because -10-30 = -40.

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3 years ago
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eimsori [14]

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