MATH SOLVE

9 months ago

Q:
# the thickness of a deep dish pizza is approximately 2 x 10^-1 feet. the thickness of a thin crust pizza is approximately 5 x 10^-2 feet. how many times smaller is the thickness of a thin crust pizza compared to the thickness of a deep dish pizza?A. 0.25B.0.4C4D25

Accepted Solution

A:

The thickness of the deep dish can be evaluated by converting [tex]10^-^1[/tex] to a decimal. [tex]10^-^1= \frac{1}{10}=0.1[/tex]. We multiply 2(0.1) and get 0.2 feet for the thickness of the deep dish pizza.

The thickness of the thin crust can be evaluated in a similar way. [tex]10^-^2=0.01[/tex]. 5(0.01) = 0.05 ft for the thin crust pizza.

We don't know how many times bigger the deep dish is, so that is our variable. That gives us:

[tex]0.05x=0.2[/tex] (the thickness of the thin crust multiplied by an unknown factor equals the deep dish)

Divide both sides by 0.05:[tex]\frac {0.05x}{0.05}= \frac{0.2}{0.05} \\ x=4[/tex]

The deep dish is 4 times bigger than the thin crust, which means the thin crust is 4 times smaller than the deep dish.

The thickness of the thin crust can be evaluated in a similar way. [tex]10^-^2=0.01[/tex]. 5(0.01) = 0.05 ft for the thin crust pizza.

We don't know how many times bigger the deep dish is, so that is our variable. That gives us:

[tex]0.05x=0.2[/tex] (the thickness of the thin crust multiplied by an unknown factor equals the deep dish)

Divide both sides by 0.05:[tex]\frac {0.05x}{0.05}= \frac{0.2}{0.05} \\ x=4[/tex]

The deep dish is 4 times bigger than the thin crust, which means the thin crust is 4 times smaller than the deep dish.