Answer:
5400 cubes can be fit into the prism.
Step-by-step explanation:
We are given the dimensions of prism as:
5 units by 5 units by 8 units i.e. 5 units×5 units×8 units.
Hence, the volume of the prism is given by:
Volume of prism=5×5×8=200 cubic units
Also the edge length of cube is given by= 1/3 unit.
Hence volume of 1 cube=
Hence volume of 1 cube= (1/27) cubic units.
Let 'n' cubes can be fitted into the prism.
Hence we have the relation as:
Volume of prism=n×Volume of 1 cube.
200=n×(1/27)
n=200×27
n=5400
Hence 5400 cubes can be fitted into the prism.
Answer:
3z + y = 1
Step-by-step explanation:
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Answer:
Option D.
Step-by-step explanation:
We have the inequality:
3 + (5/2)*x ≥ 2*x - 13/2
First, let's try to isolate x in one side of the inequality:
3 + (5/2)*x ≥ 2*x - 13/2
(5/2)*x ≥ 2*x - 13/2 - 3
(5/2)*x - 2*x ≥ - 13/2 - 3
Now all the terms with an x are in the left, and the terms without are in the right.
We can rewrite this inequality as:
(5/2)*x - (4/2)*x ≥ - 13/2 - 6/2
(1/2)*x ≥ -19/2
Now, multiplying both sides by 2 we get:
2*(1/2)*x ≥ (-19/2)*2
x ≥ - 19
So the graph will be a solid point in x = -19, and a ray that extends to the right (the values that are larger than -19)
The correct option is the last graph, option D.
<span>c=rt+k
rt = c - k
t = (c-k)/r
t = c/r - k/r
hope that helps</span>
