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1 answer:
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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
Option D
Using the distributive property, -7(8x – 3) + x = -55x + 21
<em><u>Solution:</u></em>
Given that we have to use distributive property to simplify the given expression
Given expression is:
-7(8x – 3) + x
Let us first understand about distributive property
The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.
<em><u>The distributive property is represented as:</u></em>
a(b + c) = ab + ac
Apply this property in given expression for -7(8x - 3)
Apply the above result in given expression
Combine the like terms. Add -56x and x
Thus the given expression is simplified. Option D is correct