Answer:

Step-by-step explanation:








Therefore, the angles that satisfy the equation are 
It was stated in the problem that a given volume of a is inversely proportional with the pressure of the system. It means that the as the volume increases, the pressure would decrease and as the volume decreases, the pressure would increase. We would express it as:
V α 1/P
To change it to an equality, we introduce a proportionality constant, k. We do as follows:
V = k/P
So, to determine what is asked, we need to first calculate for the value of k.
V = k/P
At V = 160 m^3 P = 108 cmHg
160 = k / (108)
k = 17280
Thus, at P = 87 cmHg
V = 17280 / 87
V = 198.62 m^3
Answer:
They made 4 forks and 6 spoons last April.
Step-by-step explanation:
Let forks they made in april be x and spoons be y.
To make 1 fork we need $2
To make 1 spoon we need $1
They sell 1 fork for $6 and 1 spoon for the same amount So,
now,
Turning it into two equations :-
(x = number of forks and y = number of spoons)
2x + 1y = 14
6x + 6y = 60
Now,
2x + y = 14
y = 14 - 2x
Now,
6x + 6y = 60
or, 6x + 6(14-2x) = 60
or, 6x + 84 - 12x = 60
or, -6x = -24
so, x = 4
Now,
y = 14 - 2x
or, y = 14 - 2×4
or, y = 14-8
so, y = 6
Answer:
To begin this problem we call "the sum of the number" x. Now we have the equation 2(x)+5=20. This is the answer because it said to translate the equation. I think 2x+5+20 would be the correct translation.
2x - 83 = 35 --- Original Equation
2x = 35 + 83 --- Add 83 to the other side
2x = 118
X = 118 / 2 --- Divide two from both sides to separate it from X
X = 59 --- Your Simplified Answer!
Remember when you add or subtract a numeral across the = , it changes signs! (Ex. - changes to a +)