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Answer:
x =
Step-by-step explanation:
Given
x + + (x - 1) =
Multiply through by 10 ( the LCM of 2 and 5 ) to clear the fractions
10x + 15 + 10(x - 1) = 8
10x + 15 + 10x - 10 = 8
20x + 5 = 8 ( subtract 5 from both sides )
20x = 3 ( divide both sides by 20 )
x =
The image of the right rectangular prism is missing, so i have attached it.
Answer:
volume of the right rectangular prism = 625 in³
Step-by-step explanation:
The rectangular prism is made of equal-sized cubes. Thus, let's first find the volume of 1 cube.
Formula for volume of one cube is;
V = a³
where
a is the length of one side of the cube
We are told that this length is 2½ inches
Thus;
a = 2½ = 5/2 inches
>> V = (5/2)³
>> V = 125/8 in³
Now, in the rectangular prism attached, if we count the number of cubes we have, it is equal to 40 cubes
Therefore, the volume of the prism is;
Volume of one cube × 40
>> volume of the prism = (125/8) × 40
volume of the prism = 625 in³
