A collection of 36 coins consists of nickels, dimes and quarters. There are three fewer quarters than nickels and six more dimes than quarters. How many of each kind of coin is there?

12 nickels, 9 quarters, 15 dimes

Step-by-step explanation:

Let's call the number of nickels n, the number of dimes d, and the number of quarters q. Now, we can set up the following equations:

n+d+q=36

q=n-3

d=q+6

Now, we can do some substitution:

d=(n-3)+6=n+3

Plugging this into the first equation, you get:

n+(n+3)+(n-3)=36

3n=36

n=12

There are twelve nickels, meaning that there are 9 quarters and 15 dimes. Hope this helps!

a function could be identified in 3 ways either on a chart,graph, or ordered pairs. first a function is that each point has its own. the rule is that there can be many x's to one y but there can not be 2 x's at different y's. so on a graph when you put a straight line through the y's there should be one dot only to be a function.

step-by-step explanation:

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.