<span>5(x + 1) = 4(x + 8)
Use distributive property
5x+5=4x+32
Subtract 4x from both sides
x+5=32
Subtract 5 from both sides
Final Answer: x=27</span>
Answer:
Congruent
Vertical
Step-by-step explanation:
E and G are vertical angles and vertical angles are equal
They are congruent because they are vertical
The angular velocity is defined by the position angle over time.
Get first the position angle of the pendulum which has the formula of s = rθ where s = arc length, r = radius (or length of the pendulum's string), and θ = position angle. Getting θ, we have <span>θ = s/r = 14.13 ft / 6 ft = 2.355 rad
Thus, the angular velocity is </span>θ/t where t = time; so 2.355 rad / 3 sec = 0.785 rad/sec
Hope this helps.
Answer:
The volume of the concentrated 80 gallons mixture is 20 gallons
The volume of water in the 80 gallons mixture is 60 gallons
Step-by-step explanation:
The given parameters are;
The content of Container A = The cleaner
The concentration of the cleaner = 20% solution
The content of Container B = Pure water
The concentration of the desired solution = 5%
The volume of the required solution = 80 gallons
Let x represent the volume of the concentrated solution and y represent the volume of water in the 80 gallons mixture
Therefore, we have;
20/100 × x + y×0 = 5/100×80
x + y = 80
y = 80 - x
20/100 × x + (80 - x)×0 = 5/100×80
0.2·x = 4
x = 4/0.2 = 20
x = 20 gallons
y = 80 - x = 80 - 20 = 60
y = 60 gallons
The volume of the concentrated solution (80 gallons mixture) = x = 20 gallons
The volume of water in the 80 gallons mixture = y = 60 gallons.
3x -x + 8 + 5x - 2 = 10
3x - x + 5x = 10 -8 +2
7x = 4
x = 7/4
