The choir needs to raise $2,620.00 for a trip to the state competition. They are selling sets of candles for $25.00 per set. They have already raised $1,225.00 from the fundraiser. The band needs to raise $2,400.00 to pay for a trip to the state capital to participate in a parade. They are selling 3-gallon tubs of caramel popcorn for $18.25 each. They have already raised $1,314.00 from the fundraiser.

1086/18.25 = 59.51

60 more tubs of popcorn to reach their target.

Step-by-step explanation:

OK, here we go. Golf Club first

You subtract the total amount they need to raise, by the amount they already have:

2620 - 1225 = $1395.00 to go

Divide that number by the price of golf balls to find out how many more they need:

1395/25 = 55.8

This means that they need to sell at least 56 golf balls to meet the target.

Now to the Percussion Club...

Do the same thing again:

2400 - 1314 = $1086 to go

1086/18.25 = 59.51

So the percussion club needs to sell at lest 60 more tubs of popcorn to reach their target.

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.