Alexandra has 36 coins valued at $6.00. she has only nickels and quarters. which equation can be used to solve for the number of nickels, n?

Keywords:

Coins, nickels, quarters, equation, variables

For this case, we have 36 coins that represent 6 dollars. In addition, said coins are nickels and quarters. We must find an equation that can be used to find the number of nickels Alexandra has, of the 36 coins. For this, we must define two variables:

We know that:

Thus, we have the following system of equations:

We clear "q" from the equation (2):

We substitute "q" in equation (1):

Thus, the equation that can be used to find the number of nickels Alexandra has is:

The equation that can be used to find the number of nickels Alexandra has is:

3/6   and 9/18

step-by-step explanation:

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.