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madiballet125
30.07.2020 •
Mathematics
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?
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Ответ:
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 =![\pi (10)^2=100\pi \text{ in.}^2](/tpl/images/0715/6896/82b43.png)
Since, they divide pizza into 15 pieces , area of each slice =![\dfrac{100\pi}{15}=\dfrac{20}{3}\pi\text{ in.}^2](/tpl/images/0715/6896/39f79.png)
They left with 3 slices i.e. they ate 12 slices, area of all 12 slices = 12 x (area of each slice)
=![12\times\dfrac{20}{3}\pi\text{ in.}^2= 80\pi\text{ in.}^2](/tpl/images/0715/6896/10e19.png)
Diameter of Mullins family's pizza = 12 inches
Radius =
= 6 inches
Area of Mullins family's pizza =![\pi (12)^2=144\pi \text{ in.}^2](/tpl/images/0715/6896/93222.png)
Since, they divide pizza into 8 pieces , area of each slice =![\dfrac{144\pi}{8}=18\pi\text{ in.}^2](/tpl/images/0715/6896/e96d3.png)
They left with 6 slices i.e. they ate 2 slices, area of all 2 slices = 2 x (area of each slice)
=![2\times18\pi\text{ in.}^2=36\pi\text{ in.}^2](/tpl/images/0715/6896/656e6.png)
Since,![\dfrac{36\pi}{80\pi}=\dfrac{9}{20}](/tpl/images/0715/6896/b2c5a.png)
Hence, Mullins family eat
of the pizza the Hernandez family ate.
Ответ:
answer should be F sorry if i am wrong
Step-by-step explanation: