We are given
piggy bank has nickels , dimes and quarters
Let's assume
number of nickels =n
every two nickels there are 3 dimes
so, number of dimes are


every two dimes that are 5 quarters there
so, number of quarters are


so, total number of coins = number of nickels + number of dimes +number of quarters
total number of coins =n+1.5n+3.75
there are 500 coins
so, we get

now, we can solve for n

divide both sides by 6.25
so, we get

number of dimes is 1.5n


number of quarters is 3.75n


so,
Number of nickels =80
Number of dimes =120
Number of quarters =300............Answer
Answer:12
Step-by-step explanation:
-7 and 8 are the solutions to the given equation system.
Therefore, the maximum distance between the y values of the two equations must lie exactly between their points of intersection. That is on x value:
x = (-7 + 8)/2 = 0.5
The maximum distance is:
y = 0.5 + 56 = 56.5
y = 0.5² = 0.25
56.5 - 0.25 = 56.25 units
For this case we have:
Polynomial 1: 
Polynomial 2: 
Sorting the polynomials:
Polynomial 1: 
Polynomial 2: 
Adding term to term (similar) we have:

Answer:

Answer:
The sampling option Hamden city's police department needs to choose is to select a random sample of 10% of all taxpayers.
Since the Hamden city’s police department needs to choose whether to build a new addition to the police station or to buy new squad cars. And it needs money to choose any of these options. The money usually comes from the packets of taxpayers. Therefore, it would be appropriate to take a random sample of 10% of all taxpayers.