Answer:
Volume of one cube shaped block is, 0.125 cubic feet
Step-by-step explanation:
Volume of a cube(V) is given by:
.....[1]
where a is the edge length of the cube.
As per the statement:
Cube-shaped blocks are packed into a cube-shaped storage container. The edge of the storage container is 2 1/2 feet.
⇒
It is also given that:
The edge length of each block is 1/5 the edge length of the storage container
⇒
Substitute this in [1] we have;
Therefore, volume, in cubic feet, of one cube-shaped block is, 0.125
Answer:
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X=number of adults, y= number of students
x+y=12
18x+12y=162
You can simplify the second equation by dividing by six: 3x+2y=27
Rearrange the first equation: y= 12-x. Plug y into the simplified second equation:
3x+2(12-x)=27
3x-2x+24=27
x=3.
Plug the now known x value into y=12-x. So y= 9.
Therefore, there are 3 adults and 9 students.
The solution to the compound inequality given as 3x−8≤23 AND −4x+26≥63 is x ≤ 31/3 AND x ≤ -89/4
<h3>How to determine the solution to the
compound inequality?</h3>
The compound inequality is given as:
3x−8≤23 AND −4x+26≥63
Rewrite properly as:
3x − 8 ≤ 23 AND −4x + 26 ≥ 63
Add to both sides of compound inequality ,the constant in the compound inequality expression
So, we have:
3x ≤ 31 AND −4x ≥ 89
Divide both sides of compound inequality, by the coefficient of the variable x in the compound inequality expression
So, we have:
x ≤ 31/3 AND x ≤ -89/4
hence, the solution to the compound inequality given as 3x−8≤23 AND −4x+26≥63 is x ≤ 31/3 AND x ≤ -89/4
Read more about compound inequality at
brainly.com/question/1604153
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