Which situation has a unit rate of 15 laps per hour? Luigi runs 44 laps in 4 hour
B. Luigi runs 2 laps in 30 hours
C. Luigi runs 150 laps in 10 hours
D. Luigi runs 60 laps in 5 hours

Option C. Luigi runs 150 laps in 10 hours .

Step-by-step explanation:

Unit Rate

We need to match for an option having a unit rate of 15 laps per hour.

To find the required rate, we divide the number of laps by the number of hours.

A. Luigi runs 44 laps in 4 hour . This gives a unit ratio of 44/4 = 11 laps/hour. This is not the correct option

B. Luigi runs 2 laps in 30 hours. This gives a unit ratio of 2/30 =0.07  laps/hour. This is not the correct option

C. Luigi runs 150 laps in 10 hours . This gives a unit ratio of 150/10 = 15 laps/hour. This is the correct option

D. Luigi runs 60 laps in 5 hours. This gives a unit ratio of 60/5 = 12 laps/hour. This is not the correct option

Option C. Luigi runs 150 laps in 10 hours .

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.

6,250

step-by-step explanation:

to get the area, multiply 360 by 160.(57,600)

to find out how many bags of fertilizer it will take, first figure out how many square feet one bag can hold. divide 1000 by 8(125) to get the unit rate(how many square feet one pound of fertilizer can hold)and multiply it by 50(6250). if i haven't made a mistake, that is the answer.