August hosted two dinner parties for his friends. twenty-five guests attended the first party, and thirty-one guests attended the second party. what is the percentage increase of the number of guests from the first party to the second party?

 The percentage increase of the number of guests from the first party to the second party is 24 %.

Step-by-step explanation:

Hi, to solve this problem we have to calculate the increase of guests in numbers.

31 guests from the second party

25 guests from the first party

31-25 = 6

Now, we have to calculate the percentage of that number.

25 / 6 =  0.24

And finally, multiply it by 100 to express in percentage

0.24 x 100 = 24 %

The percentage increase of the number of guests from the first party to the second party is 24 %.

Feel free to ask for more if it´s necessary or if you did not understand something .

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.

i don't know

step-by-step explanation: