The function v(s) = 0.094s can be used to find the approximate volume of a sphere (v, in cubic units) in terms of its surface area (s, in square units). if the volume of a soccer ball is 1,930.75 cubic centimeters, what is the surface area of the soccer ball to the nearest cubic centimeter?

Given the function, V(S) = 0.094S

Where,

V is the approximate volume of a sphere in cubic units

S is the surface area of the sphere in square units

If V(S) = 1,930.75 cubic centimeters,

S = ?

V(S) = 0.094S

1,930.75 = 0.094S

0.094S = 1,930.75

Divide both side of the equation by 0.094

0.094S/0.094 = 1,930.75/0.094

S = 20,540 (to the nearest cubic centimeter)

this answer is !

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .