All you have to do is divide 7,305 by 96 to see how many apples can she fill in a box and how many will be left over
Given:
![0.5(4x-8)+11=0.25(12x+20)-5](https://tex.z-dn.net/?f=0.5%284x-8%29%2B11%3D0.25%2812x%2B20%29-5)
To find:
The value of x.
Solution:
We have,
![0.5(4x-8)+11=0.25(12x+20)-5](https://tex.z-dn.net/?f=0.5%284x-8%29%2B11%3D0.25%2812x%2B20%29-5)
Using distributive property, we get
![0.5(4x)+0.5(-8)+11=0.25(12x)+0.25(20)-5](https://tex.z-dn.net/?f=0.5%284x%29%2B0.5%28-8%29%2B11%3D0.25%2812x%29%2B0.25%2820%29-5)
![2x-4+11=3x+5-5](https://tex.z-dn.net/?f=2x-4%2B11%3D3x%2B5-5)
![2x+7=3x](https://tex.z-dn.net/?f=2x%2B7%3D3x)
Subtract 2x from both sides.
![7=3x-2x](https://tex.z-dn.net/?f=7%3D3x-2x)
![7=x](https://tex.z-dn.net/?f=7%3Dx)
Therefore, the value of x is 7.
Answer:
16pi cm^2, 112pi cm^3, 351.68 cm^3
Step-by-step explanation:
Given: Height=7cm, radius=4cm
1. The base is a circle and Area of circle = pi * r^2
Plug in the radius to get --> A = pi * (4cm)^2 = 16*pi cm^2
2. This is asking for the volume of the cylinder.
Volume of cylinder is V=h*pi*r^2 --> 7cm * pi * (4cm)^2 = 112 pi cm^3
3. Just plug 3.14 into pi --> 112 * pi cm^3 = 351.68 cm^3
-1.5 + 7.5
factor out -1.5, divide 7.5 by 1.5 to factor it out of it as well (7.5 divided by -1.5) and make sure you get NEGATIVE 5.
-1.5(1 x -5)