priscilla and ursula went fishing. Priscilla brough a full box of 32 worms and used one worm every minute. Ursula brough a box with five worms and decided to dig for more before she began fishing. Ursula dug up two worms per minute. Graph the data for each person to find out at what minute they will have the same amount of worms. How many worms will they both have at this point SHOW WORK

9 Minutes

Step-by-step explanation:

Let w be the number of worms and m be the number of minutes.

Pricillia's equation would be w=32-m while ursula's equation would be w=5+2m

Therefore the determine the time that they would have the same number of worms, you do

32-m = 5+2m

32-m-2m = 5+2m-2m

32-3m = 5

32-3m-32 = 5-32

-3m = -27

-3m/-3 = -27/-3

m=9 minutes

It's either this or the picture posted (with btw isn't mine)

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.

many reason,

step-by-step explanation: