Equation 1. N+D=500
equation 2 5N+10D=3000
This is for equation 1
N=500-d
Substitute into equations 2 and solve for D
5N+10D=3000
5(500-D)+10D=3000
2500-5D+10D=3000
5D=500
D=100
Lets go back the equation 1
N=500-D
N=500-100
N=400
there are 400 Nickles and 100 Dimes
104 1/2ft cubed
To find the volume you would multiply
Length•width•height
So,
(6 1/3)(3)(5 1/2)=104 1/2
So it would be 104 and 1/2 or 104.5
Answer:
for the first one I got y=-2x-2 the second part i got y=-x-1 or -1x-y-1=0 Correct me if I am wrong
Step-by-step explanation:
Use the slope formula
-4-4 =-8
/ =-2
1 - -3=4
2. The second part use this formula y-y1=m(x-x1)
y--4=-1(x-3)
y+4=-x+3
-4 -4
y+0=-x-1
y=-x-1 or -1x-y-1=0 I am not sure
Given:
A prism with right triangular base.
Base of triangle = 6 ft
Height of triangle = 8 ft
Height of prism = 7
To find:
The volume of the given prism.
Solution:
The volume of prism is:
...(i)
Where, B is the base area and h is the height of the prism.
In the given figure, the base of the prism is a right angle triangle with legs 6 ft and 8 ft. So, the area of the base is:




Substituting
in (i), we get


Therefore, the volume of the prism is 168 cubic ft.
A cube because it has 6 faces/sides and 12 edges.