Hi yes what do u need help with??
Let q and n represent the number of quarters and nickels respectively.
q=3n and .05n+.25q=1.6 These are the conditions in mathematical terms.
To solve, use the value of q from the first equation in the second equation to get:
.05n+.25(3n)=1.6 carry out indicated multiplication on left side
.05n+.75n=1.6 combine like terms on left side
.8n=1.6 divide both sides by .8
n=2, since q=3n
q=6
So Peggy had 2 nickels and 6 quarters.
6 bags × 24 balloons = the amount of round balloons
6× 24 = 144
3 bags × 36 balloons = the amount of long balloons
3 ×36=108
108 long balloons - 144 round balloons = number of more long balloons that round ones
108-144=-36
He has -36 more long balloons that round ones
Or 36 more round balloons that long ones
The formula for the volume of a cone is
v = ( 1 / 3) h pi r^2
where h is the height of the cone
pi is 3.1416
r is the radius of the cone
since diameter is given
D = 2r
r = D/2 = 4/2 = 2 in
substitute the given
V = (1/3) (6) (3.1416) (2^2)
V = 25.1 cubic in
