Like 950 something if ull be alive
There are 75 people and you need to give each of them $120 for their graduation day.
Answer:
x= 45
Step-by-step explanation:
x= -15*-3
x= 45
Answer:
The original length was 41 inches and the original width was 16 inches
Step-by-step explanation:
Let
x ----> the original length of the piece of metal
y ----> the original width of the piece of metal
we know that
When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box
The dimensions of the box are
![L=(x-10)\ in\\W=(y-10)\ in\\H=5\ in](https://tex.z-dn.net/?f=L%3D%28x-10%29%5C%20in%5C%5CW%3D%28y-10%29%5C%20in%5C%5CH%3D5%5C%20in)
The volume of the box is equal to
![V=(x-10)(y-10)5](https://tex.z-dn.net/?f=V%3D%28x-10%29%28y-10%295)
![V=930\ in^3](https://tex.z-dn.net/?f=V%3D930%5C%20in%5E3)
so
![930=(x-10)(y-10)5](https://tex.z-dn.net/?f=930%3D%28x-10%29%28y-10%295)
simplify
-----> equation A
Remember that
The piece of metal is 25 in longer than it is wide
so
----> equation B
substitute equation B in equation A
![186=(y+25-10)(y-10)](https://tex.z-dn.net/?f=186%3D%28y%2B25-10%29%28y-10%29)
solve for y
![186=(y+15)(y-10)\\186=y^2-10y+15y-150\\y^2+5y-336=0](https://tex.z-dn.net/?f=186%3D%28y%2B15%29%28y-10%29%5C%5C186%3Dy%5E2-10y%2B15y-150%5C%5Cy%5E2%2B5y-336%3D0)
Solve the quadratic equation by graphing
using a graphing tool
The solution is y=16
see the attached figure
Find the value of x
![x=16+25=41](https://tex.z-dn.net/?f=x%3D16%2B25%3D41)
therefore
The original length was 41 inches and the original width was 16 inches
The volume will increase as each layer is added because you are adding more to that certain shape