3 dimes, 9 pennies, and 5 nickels
call the number of dimes d. then, we will have 3d pennies and d + 2 nickels. the value for each group is 10d, 3d, and 5d + 10. add these to get 18d + 10. this is equal to 64 cents, as stated in the question. so, setting these equal, we get that d = 3, and there are 3 dimes, 9 pennies, and 5 nickels.
the ratios of the corresponding sides are
let's firstly convert the mixed fraction to improper fraction, and divide, so we can see how many times 1/6 goes into 2⅔
c = 4 a
the given function p(c) = - 15 c (c-8) is actually quadratic function:
p(c) = - 15c² + 120c or parabola
the standard form of a quadratic function is:
y = ax² + bx + c
for which x is the maximum of the parabola we can find with this formula
x = - b/2a
in this case a = -15 and b = 120 and input variable is current c
c = - 120/(2 · (-15)) = - 120/ (-30) = 4 a
c = 4 a
god with !