On Tuesday Jack bought four boxes. On Wednesday half of all the boxes that he had were destroyed. Write an expression for how many boxes Jack has now. A. 12b+4

B. 12+4b

C. 4b−12b

D. b+42/2

This question is incomplete because the options were not written properly.

Complete Question

On Tuesday Jack bought four boxes. On Wednesday half of all the boxes that he had were destroyed.

Write an expression for how many boxes Jack has now

A. 1/2b+4

B. 1/2+4b

C. 4b−1/2b

D. b+42/2

C. 4b−1/2b

Step-by-step explanation:

Let the number of boxes that Jack has be represented by b

In the question, we are told that:

• On Tuesday, Jack bought 4 boxes

Since 1 box = b

4 boxes = 4b

• On Wednesday , half of the boxes where destroyed.

= 1/2 b

The expression for how many boxes Jack has now is given as

Number of boxes Jack bought in Tuesday - half of the boxes destroyers on Wednesday.

This is expressed mathematically as:

4b - 1/2b

1: -2 3/4, -2 1/2, -14, 0, 3, 8 1/3

2: -4, -3, -2 1/2, -2 1/4, 3 1/4,

step-by-step explanation:

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.