560 ft^2
20ft x 10ft = 200 ft^2
+
12ft x 30ft = 360 ft^2
=
560 ft^2
A dozen of doughnuts cost $5 and a dozen of croissants cost $6.
Step-by-step explanation:
Let,
Cost of 1 dozen doughnuts = x
Cost of 1 dozen croissants = y
According to given statement;
7x+3y = 53 Eqn 1
x+5y = 35 Eqn 2
Multiplying Eqn 2 by 7
![77(x+5y = 35)\\x+35y=245\ \ \ Eqn\ 3](https://tex.z-dn.net/?f=77%28x%2B5y%20%3D%2035%29%5C%5Cx%2B35y%3D245%5C%20%5C%20%5C%20Eqn%5C%203)
Subtracting Eqn 1 from Eqn 3
![(7x+35y)-(7x+3y)=245-53\\7x+35y-7x-3y=192\\32y=192](https://tex.z-dn.net/?f=%287x%2B35y%29-%287x%2B3y%29%3D245-53%5C%5C7x%2B35y-7x-3y%3D192%5C%5C32y%3D192)
Dividing both sides by 32
![\frac{32y}{32}=\frac{192}{32}\\y=6\\](https://tex.z-dn.net/?f=%5Cfrac%7B32y%7D%7B32%7D%3D%5Cfrac%7B192%7D%7B32%7D%5C%5Cy%3D6%5C%5C)
Putting y=6 in Eqn 2
![x+5(6)=35\\x+30=35\\x=35-30\\x=5](https://tex.z-dn.net/?f=x%2B5%286%29%3D35%5C%5Cx%2B30%3D35%5C%5Cx%3D35-30%5C%5Cx%3D5)
A dozen of doughnuts cost $5 and a dozen of croissants cost $6.
Keywords: linear equation, elimination method
Learn more about elimination method at:
#LearnwithBrainly
Answer:
V=1884 Cubic mm
Step-by-step explanation:
We know that the volume of the Sphere is given by the formula
![V= \pi r^2h](https://tex.z-dn.net/?f=V%3D%20%5Cpi%20r%5E2h)
Where r is the radius and h is the height of the cylinder
We are asked to determine the radius of the hollow cylinder , which will be the difference of the solid cylinder and the cylinder being carved out.
![V=V_1-V_2](https://tex.z-dn.net/?f=V%3DV_1-V_2)
![V=\pi r_1^2 \times h-\pi r_2^2 \times h](https://tex.z-dn.net/?f=V%3D%5Cpi%20r_1%5E2%20%5Ctimes%20h-%5Cpi%20r_2%5E2%20%5Ctimes%20h)
![V=\pi \times h \times (r_1^2-r_2^2)](https://tex.z-dn.net/?f=V%3D%5Cpi%20%5Ctimes%20h%20%5Ctimes%20%28r_1%5E2-r_2%5E2%29)
Where
is the the volume of solid cylinder with radius
and height h
is the volume of the cylinder being carved out with radius
and height h
where
mm ( Half of the bigger diameter )
mm ( Half of the inner diameter )
mm
Putting these values in the formula for V we get
![V=\pi \times 25\times (7^2-5^2)](https://tex.z-dn.net/?f=V%3D%5Cpi%20%5Ctimes%2025%5Ctimes%20%287%5E2-5%5E2%29)
![V=3.14 \times 25 \times(49-25)](https://tex.z-dn.net/?f=V%3D3.14%20%5Ctimes%2025%20%5Ctimes%2849-25%29)
![V=3.14 \times 25 \times 24](https://tex.z-dn.net/?f=V%3D3.14%20%5Ctimes%2025%20%5Ctimes%2024)
![V= 1884](https://tex.z-dn.net/?f=V%3D%201884)
Answer:
-7
Step-by-step explanation:
Answer:
8 times larger
Explanation:
Since your doubling the dimensions of the rectangular prism and to the regular formula is a*b*c
The equation to find how many times larger it is would be
2^3
2^3 = 8
Hope this helps you and others!!