Marcie walked 26.42 miles on the 1st day, 32.37 on the next day, and 28.93 on the third day. gayle, her friend said she'd give her $1.50 for each mile marcie walked. how much did money did gayle give? marcie's brother tom was also in the charity walk. he only walked .8 as far as marcie on the first day, .7 as far on them second day and .9 as far on the third day. how many miles did tom walk, rounded to the nearest hundredth of a mile?

Gayle gave $ 131.58 to Marcie

Tom walked 87.96 miles

Step-by-step explanation:

1) Since, Marcie walked 26.42 miles on the 1st day, 32.37 on the next day, and 28.93 on the third day.

Thus, the total miles he walk = 26.42 + 32.37+28.93 = 87.72 miles

The cost of one mile = $ 1.50

Therefore, the cost of 87.72 miles = 87.72 × 1.50 = $ 131.58

2) Also, Tom walked 0.8 as far as Marcie on the first day, 0.7 as far on them second day and 0.9 as far on the third day.

Thus, the distance tom cover, on first day = 26.50

On second day = 32.44

On third day = 29.02

⇒ The total distance he covered = 26.50 + 32.44 + 29.20 = 87.96 miles

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.