Answer:
<h2>1 < x < 6 ⇒ x ∈ (1, 6)</h2>Step-by-step explanation:
3x - 8 > -5 <em>add 8 to both sides</em>
3x > 3 <em>divide both sides by 3</em>
x > 1
2x - 7 < 5 <em>add 7 to both sides</em>
2x < 12 <em>divide both sides by 2</em>
x < 6
From x > 1 and x < 6 we have the solution 1 < x < 6 ⇒ x ∈ (1, 6)
Answer:
The volume of the rectangular prism is <u>19.25 inches³</u>.
Step-by-step explanation:
Given:
It takes 154 cubes with side lengths of 1/2 inch to fill a rectangular prism.
Now, to find the rectangular prism's volume.
We first find the volume of a cube to fill in the rectangular prism.
The side length of the cube =
Now, to get the volume of cube we put formula:
<em>Thus, the volume of a cube is </em><em />
<em>Number of cubes = 154.</em>
<u><em>According to question, it takes 154 cubes to fill the rectangular prism.</em></u>
<u><em>So, to get the volume of prism we need to find the volume of 154 cubes.</em></u>
Now, to get the volume of 154 such cubes we multiply the volume of a cube by number of cubes:
Therefore, the volume of the rectangular prism is 19.25 inches³.