Answer:
-2 ≤ x < 12
Step-by-step explanation:
<u>-15x +4 ≤ 34</u>
Add 15x-34 to both sides
-30 ≤ 15x
Divide by 15
-2 ≤ x
__
<u>-6x +70 > -2</u>
Add 6x +2 to both sides
72 > 6x
Divide by 6
12 > x
__
The two solution spaces overlap. Since the AND of the two inequalities is involved, the solution of both is just that part of the number line where there is overlap.
The solution is ...
-2 ≤ x < 12
Simplifying
a + 4b = 5b + -3a
Reorder the terms:
a + 4b = -3a + 5b
Solving
a + 4b = -3a + 5b
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '3a' to each side of the equation.
a + 3a + 4b = -3a + 3a + 5b
Combine like terms: a + 3a = 4a
4a + 4b = -3a + 3a + 5b
Combine like terms: -3a + 3a = 0
4a + 4b = 0 + 5b
4a + 4b = 5b
Add '-4b' to each side of the equation.
4a + 4b + -4b = 5b + -4b
Combine like terms: 4b + -4b = 0
4a + 0 = 5b + -4b
4a = 5b + -4b
Combine like terms: 5b + -4b = 1b
4a = 1b
Divide each side by '4'.
a = 0.25b
Simplifying
a = 0.25b
Answer:
2032.6852mm, you can round it to 2032.7mm
Step-by-step explanation:
0.33 x 3.14 x 6 x 18 x 18 = 2032.6852