Answer:
Step-by-step explanation
6n - 6 = 2 (n+1)
Simplify 2 (n+1)
6n - 6= 2n +2
Move all terms related to n to the left side of the equation
4n -6 =2
Move all terms not related to n to the right side of the equation
4n =8
Divide each term by 4 then simplify
n=2
Answer:
Step-by-step explanation:
Volume of first container = 48 cm³
πr²h = 48 cm³
Second container:
height = (2/3)h
Volume of second container=
=(2/3)* first container's volume {πr²h = 48 cm³}
= 32 cm³
The answer is 2 = p
Explanation: Here the goal is to get the variable "p" by itself, so first your have to distribute 2 to (p-12) which gives you -10p = 2p-24. Then you add 10p on both sides so that the variable is on one side. Then you add 24 to both sides. After that you divide 12 from both sides, giving you 2 = P
-10P = 2(p-12)
-10p = 2p-24
+10p +10p
0 = 12p-24
+24 +24
24 = 12p
24÷12 = 12p÷12
2 = p
Answer: x=8
Step-by-step explanation:
Since we are given that ∠ABC and ∠DBC are complementary angles, we know that adding them together should give us 90°. We can use this to solve for x.
6x+13+4x-3=90 [combine like terms]
10x+10=90 [subtract both sides by 10]
10x=80 [divide both sides by 10]
x=8
Now, we know that x=8.
