You have quarters and nickels saved in a piggy bank. there is a total of 3.45 in quarters and nickels and there are 9 more nickels than quarters. how many nickels and quarters in the piggy bank?

Total number of quarters=10

Total number of nickels=19

Step-by-step explanation:

The expression for the total value of money you have is;

Quarters have a value of= $0.25

Nickels have a value of= $0.05

Total value=(value of quarters×number of quarters)+(value of nickels×number of nickels)

where;

Total value=$3.45

Value of a quarter=$0.25

number of quarters=x

Value of a nickel=0.05

number of nickels=y, but y=x+9

replacing;

3.45=(0.25×x)+0.05(x+9)

3.45=0.25 x+0.05 x+0.45

3.45=0.3 x+0.45

0.3 x=3.45-0.45

0.3 x=3

x=3/0.3

x=10

y=x+9=10+9=19

Total number of quarters=10

Total number of nickels=19

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

(a) the volume of the cone is 20/3 in3

hence, option a is correct.