Answer:
Step-by-step explanation:
How many times must you step back 8 inches after stepping forward 60 inches to end 28 inches from your starting point?
(4^4 * 4^3) / 4^5 =
when multiplying exponents with the same base, add the exponents
(4^4 * 4^3 = 4^(4 + 3) = 4^7
now we have 4^7 / 4^5
when dividing exponents with the same base, u subtract the exponents.
4^7 / 4^5 = 4^(7-5) = 4^2 <===
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,
...................................(1)
Where, r - Radius of small pizza
From given, ![r=\frac{d}{2}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bd%7D%7B2%7D)
![= \frac{8}{2}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B8%7D%7B2%7D)
r = 4 inches
Equation (1),
![A_{S} = \pi 4^{2}](https://tex.z-dn.net/?f=A_%7BS%7D%20%3D%20%5Cpi%20%204%5E%7B2%7D)
( ∵
=3.14 )
Square inches
Step:2
Area of smaller pizza,
...................................(1)
Where, r - Radius of small pizza
From given, ![r=\frac{d}{2}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bd%7D%7B2%7D)
![= \frac{15}{2}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B15%7D%7B2%7D)
r = 7.5 inches
Equation (1),
![A_{S} = \pi 7.5^{2}](https://tex.z-dn.net/?f=A_%7BS%7D%20%3D%20%5Cpi%20%207.5%5E%7B2%7D)
( ∵
=3.14 )
Square inches
Step:3
Cost of pizza per square meter,
![= \frac{Cost of small pizza}{Area of small pizza}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7BCost%20of%20small%20pizza%7D%7BArea%20of%20small%20pizza%7D)
![=\frac{7}{50.24}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B7%7D%7B50.24%7D)
= $ 0.1393 per square meter
× ![Cost per square meter](https://tex.z-dn.net/?f=Cost%20per%20square%20meter)
![= (176.625)(0.139331)](https://tex.z-dn.net/?f=%3D%20%28176.625%29%280.139331%29)
= $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.
Answer:
see explanation
Step-by-step explanation:
Consider perfect squares either side of 60, that is
49 < 60 < 64, thus
<
<
, that is
7 <
< 8
60 is closer to 64 than it is to 49
≈ 8 ← integer approximation