If the answer to a maths question is 4, John says the answer is: 4x + 4 + 7x = 48
Mike says the answer is: 2x + 3 = 11
Henry says the answer is: 8x + 7 = 71

Then who is/are correct? Is anyone wrong? Show workout.

John and Mike are correct, Henry is incorrect.

Step-by-step explanation:

Try to find x = 4 for all the equations to find out who is correct.

John:

4x + 4 + 7x = 48

Combine like terms.

11x + 4 = 48

Subtract 4 from both sides.

11x = 44

Divide both sides by 11.

x = 4

John is correct.

Mike:

2x + 3 = 11

Subtract 3 from both sides.

2x = 8

Divide both sides by 2.

x = 4

Mike is correct.

Henry:

8x + 7 = 71

Subtract 7 from both sides.

8x = 64

Divide both sides by 8.

x = 8

Henry is incorrect.

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.

dalila is incorrect. the whisker on the left is very long, going all the way out to 5. the whisker goes from 5 to 30, so it has a spread of 25. the rest of the box plot values are closer together, so 5 is an outlier