Answer: N = 5
Step-by-step explanation:
M = 3N + 4R
M = 43
R = 7
Replacing by the values
43 = 3N + 4*7
43 = 3N + 28
43-28 = 3N
3N = 15
N = 15/3
N = 5
Pressure and Volume are inversely related as:

We can also write it as:

R is the constant of proportionality. Using the first row of given table, we can write:
Thus, the value of R, the universal gas constant is 8.31
First, you can combine all of the terms involving x:
0.3x + 0.03x + 0.003x + 0.0003x + 0.00003x = 3
0.33333x = 3
0.33333x / 0.33333 = 3 / 0.33333
x = 9.0000900009…
x ≈ 9
Hope this helps! :)
Answer:
P(7, -7)
Step-by-step explanation:
Xp = 6+ ⅓(9-6)= 6+ ⅓(3)=6+1 =7
Yp = -10 + ⅓(-1+10)= -10+⅓(9)= -10+3=-7
=> P (7, -7)
Answer:
1/2 (x+5) = 36 should be the equation that is used to determine how many rocks George started with.
Step-by-step explanation:
Let 'x' be the number of rocks George had.
As George gave, after getting 5 new rocks, half of his rock collection to Susan which is = 36 rocks
It means after getting 5 new rocks George's total rocks = 72
Given that he gave half collection to Susan = 36
Thus, before inducting 5 new rocks Georg's total rocks were = 67
Thus,
1/2 (x+5) = 36 should be the correct equation.
solving
1/2 (x+5) = 36
Multiplying both sides by 2
1/2 (x+5) × 2 = 36 × 2
x+5 = 72
x = 72 - 5
x = 67
Thus, before getting 5 new rocks, the number of rocks George had = 67
Therefore,
1/2 (x+5) = 36 should be the equation that is used to determine how many rocks George started with.