3x + (-2 + 4x)<br> X = 5

The cost of large pizza is $24.62, a small pizza has an 8-in. diameter a large pizza has a 15-in. diameter the pizzeria charges the same price per square inch for both pizzas and the small pizza cost $7.

Step-by-step explanation:

The given is,

A small pizza has an 8-inches in diameter

A large pizza has a 15-inches in Diameter

The small pizza cost $7

Step:1

Area of smaller pizza,

$Area, A_{S} = \pi r^{2}$ ...................................(1)

Where, r - Radius of small pizza

From given, $r=\frac{d}{2}$

$= \frac{8}{2}$

r = 4 inches

Equation (1),

$A_{S} = \pi 4^{2}$

$=(3.14)(16)$ ( ∵ $\pi$ =3.14 )

$= 50.24$ Square inches

Step:2

Area of smaller pizza,

$Area, A_{L} = \pi r^{2}$ ...................................(1)

Where, r - Radius of small pizza

From given, $r=\frac{d}{2}$

$= \frac{15}{2}$

r = 7.5 inches

Equation (1),

$A_{S} = \pi 7.5^{2}$

$=(3.14)(56.25)$ ( ∵ $\pi$ =3.14 )

$= 176.625$ Square inches

Step:3

Cost of pizza per square meter,

$= \frac{Cost of small pizza}{Area of small pizza}$

$=\frac{7}{50.24}$

= $ 0.1393 per square meter

$Cost of Larger pizza = Area of Larger pizza$ × $Cost per square meter$

$= (176.625)(0.139331)$

= $24.62

Result:

The cost of large pizza is $24.62, a small pizza has an 8-in. diameter a large pizza has a 15-in. diameter the pizzeria charges the same price per square inch for both pizzas and the small pizza cost $7.

6 0

3 years ago

3x + (-2 + 4x) X = 5