Answer:
--- Curved Surface Area
--- Total Surface Area
Step-by-step explanation:
Given
Shape: Cylinder
-- height
--- radius
Solving (a): The curved surface area (CSA)
This is calculated as:
This gives:
Solving (b): The total surface area (TSA)
This is calculated as:
This gives:
In order to solve this equation you could use guess and check with multiple choice, or you can set up a system of equations.
First we must define our variables:
x=price of taco
y=price of burrito
Michael bought 4 tacos (4x) and (+) and Burrito (y) for $9.50 (=9.5)
4x+y=9.50
Noah bought two tacos (2x) and (+) three burritos (3y) for (=) $11 (11)
2x+3y=11
To solve this system of equations you can easily see substitution as the easiest method. For substitution we must isolate one variable:
4x+y=9.50
y=-4x+9.5
We can now replace the y in the other equation:
2x+3(-4x+9.5)=11
Then solve this equation to get the price of a taco (x)
2x-12x+28.5=11
-10x=-17.5
x=1.75
The price of a taco would be $1.75
Answer:
4x + 2y
Step-by-step explanation:
We multiply the price of 1 pencil by 4 to get price of 4 pencils plus the price of 1 rubber times 2.
please mark brainliest
Answer:
The simplified expression to the given expression is 
Therefore 
Step-by-step explanation:
Given fractional expression is 
To simplify the given expression as below :
![=\frac{2[(2)^4(x^3)^4(y^4)^4]}{(2)^3(x^2)^3(y^6)^3}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B2%5B%282%29%5E4%28x%5E3%29%5E4%28y%5E4%29%5E4%5D%7D%7B%282%29%5E3%28x%5E2%29%5E3%28y%5E6%29%5E3%7D)
( using the property 
)
![=\frac{2[(2)^4(x^{12})(y^{16})]}{(2)^3(x^6)(y^{18})}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B2%5B%282%29%5E4%28x%5E%7B12%7D%29%28y%5E%7B16%7D%29%5D%7D%7B%282%29%5E3%28x%5E6%29%28y%5E%7B18%7D%29%7D)
^{-3}(x^{-6})(y^{-18})](https://tex.z-dn.net/?f=%3D2%5B%282%29%5E4%28x%5E%7B12%7D%29%28y%5E%7B16%7D%29%5D%282%29%5E%7B-3%7D%28x%5E%7B-6%7D%29%28y%5E%7B-18%7D%29)
( ( using the property 
)
![=2[2^{4-3}x^{12-6}y^{16-18}]](https://tex.z-dn.net/?f=%3D2%5B2%5E%7B4-3%7Dx%5E%7B12-6%7Dy%5E%7B16-18%7D%5D)
( using the property 
)
![=2[2^1x^6y^{-2}]](https://tex.z-dn.net/?f=%3D2%5B2%5E1x%5E6y%5E%7B-2%7D%5D)
( using the property )
Therefore the simplified expression is
Therefore
Answer:
12
Step-by-step explanation:
There are 4 circles, 6 stars. The ratio is 4/6 = 2/3
if there is 8 circles in order to get the same ratio 8/x = 2/3 => x = 12
