The Hernandez family ordered one jumbo pizza with a diameter of 20 inches, cut it into 15 equal slices, and had 3 slices left over after dinner. The Mullins family ordered two medium pizzas, each with a diameter of 12 inches, cut them into 8 equal slices each, and had 6 slices left over after dinner. How much pizza did the Mullins family eat as a fraction of the pizza the Hernandez family ate?

Mullins family eat of the pizza the Hernandez family ate.

Step-by-step explanation:

Area of circle = , where r is the radius

Given, Diameter of Hernandez family's pizza = 20 inches

Radius = = 10 inches

Area of Hernandez family's pizza  =

Since, they divide pizza into 15 pieces , area of each slice =

They left with 3 slices i.e. they ate 12 slices, area of all 12 slices = 12 x (area of each slice)

=

Diameter of Mullins family's pizza = 12 inches

Radius = = 6 inches

Area of Mullins family's pizza  =

Since, they divide pizza into 8 pieces , area of each slice =

They left with 6 slices i.e. they ate 2 slices, area of all 2 slices = 2 x (area of each slice)

=

Since,

Hence, Mullins family eat of the pizza the Hernandez family ate.

60

step-by-step explanation:

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)