Given:
The sum of 8 and B is greater than 22.
To find:
The inequality for the given statement and its solution.
Solution:
We know that, sum of two number is the addition of two numbers.
Sum of 8 and B = 8+B
It is given that, the sum of 8 and B is greater than 22.
Subtracting 8 from both sides, we get
Therefore, the required inequality for the given statement is and the solution is .
What you do is you rearrange and simplify both equations to have them in terms of y, and then graph them. If it asked for a solution, their point of intersection would be the solution.
-3x - 4y - 2z = 0
x + 3y + 2z = 1
-2x - y = 1
-4x - 4y - 2z = 10
3x + 4y +2z= 0
-x = 10. x = -10
-2(-10) - y = 1
20 - y = 1
-y = -19
y = 19
-10 + 3(19) + 2z = 1
-10 + 57 + 2z = 1
47 + 2z = 1
2z = -46
z= -23
check: 2(-10)+2(19)-23=-5
-20+38-23=-5
-43+38=-5
-5=-5
-10 is less than -5 because negative numbers are farther from 0. Same applies to -4 and -20.
Answer:
Volume = cubic inches
Step-by-step explanation:
A cube is the 3D version of a square. Since one side length is x inches, all the other side lengths are same, x inches each.
We know,
Volume = area of base * height
THe base is a square and the area is side * side. We know each side is x, so we have:
Area of Square = Area of Base = x * x =
Now, we know height is also same side length, x, thus the volume becomes:
Volume = area of base * height
Volume =
We add the exponents when we have same base multiplied, so the expression for volume becomes:
Volume =