Volume of the bottom rectangle:
12 x 4.5 x 5.5 = 297 cubic cm
Volume of triangle:
1/2 x 12 x 5 = 30 x 4.5 = 135 cubic cm
Total volume = 297 + 135 = 432 cubic cm
You would multiply both sides by 3 to cancel out the divide 3.
z÷3=8
z=24
Answer:
the exact number would be 1,846.1333333333333333333333333333 :)
Step-by-step explanation:
A. My teacher said it’s 448
9514 1404 393
Answer:
x ≤ -20 or 5 ≤ x
see attached for a graph
Step-by-step explanation:
You have done most of the work of solving the inequalities. The steps are ...
- add the opposite of the constant on the side with the variable
- multiply by the inverse of the coefficient of the variable.
x/5 -x ≤ -6
x/5 ≤ -4 . . . . . add 2
x ≤ -20 . . . . . multiply by 5
__
8x +1 ≥ 41
8x ≥ 40 . . . . . add -1
x ≥ 5 . . . . . . . multiply by 1/8
So, the two inequalities you want to graph are ...
x ≤ -20 or 5 ≤ x
The values x = -20 and x = 5 are part of the solution set, so there would be solid dots at those points. The shading of the number line will extend outward from those points.