Tristan rode his bike 3 2/3 miles on saturday. he rode 1 4/5 miles on sunday. how many more miles did he ride on saturday than on sunday?

answer choices-
a. 13/15 mile
b. 1 3/5 miles
c. 1 13/15 miles
d. 2 13/15

answer quickly. this is due tomorrow and explain how you did it because i need to show my work.

C; 1 13/15 miles

Step-by-step explanation:

The question asks how many more miles did Tristan ride on Saturday than on Sunday.

On Saturday he rode 3 2/3 miles.

On Sunday he rode 1 4/5 miles.

3 2/3 can be converted to 3 10/15 (so you can subtract w/ common denominators) and 1 4/5 can be converted to 1 12/15.

Since the numerator for the amount of miles Tristan rode on Sunday is greater than the numerator for the amount of miles Tristan rode on Saturday, you can convert both common denominators to improper fractions.

3 10/15 becomes 55/15 and 1 12/15 becomes 27/15, subtract these two.

55/15 - 27/15 is 28/15.

28/15 as a mixed number is 1 13/15; answer choice C.

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.

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column