Sam has some pennies, dimes and nickels in his pocket which total 52 cents. He has two more nickels than dimes and three times as many pennies as nickels. How many of each coin does he have?

Step-by-step explanation:

Let the amount of pennies be x

amount of dimes be y

amount of nickels be z

If it all totaled 52, then x+y+z = 52

If he has two more nickels than dime, then;

z = y + 2

y = z-2

If he has three times as many pennies as nickels;

3x = z

x = z/3

Subtitute the funcion in original function;

z/3 + (z-2) + z = 52

z + 3z - 6 + 3z = 156

7z - 6 = 156

7z = 162

z =

answer: the value of x is 7cm

step-by-step explanation:

answer: on graphs, the open and closed circles, or vertical asymptotes drawn as dashed lines us identify discontinuities.

as before, graphs and tables allow us to estimate at best.

when working with formulas, getting zero in the denominator indicates a point of discontinuity.

when working with piecewise-defined functions, check for discontinuities at the transition points where one piece ends and the next begins.

step-by-step explanation: