A: 8:14. This is because of there are 14 books total and 6 are new, 14-6=8 so 8 are old. Simplified this is 4:7
B: 6:8 this is just the amount of new books compared to the amount of old. Simplified, this is 3:4
Answer:
It's X/7+2
Step-by-step explanation:
First. group the like terms:
3/7x-2/7x+4-2
Then, add the similar elements:
3/7x-2/7x=1/7x+4-2
1/7x=x/7
=x/7+4-2
=x/7+2
-10 = -5/4v
First multiply 4v on both sides leaving you with the following equation:
-10(4v) = -5
Simplify it.
-40v = -5
Divide -40 on both sides to solve for v.
v = -5/-40
Reduce the fraction down to simplest terms.
v = 1/8
The ASA postulate.
You can tell that in goes in that order with line XZ and AC where there is an angle, a side, and then another angle
Step-by-step explanation:
Let
= mass of the painter
= mass of the scaffold
= mass of the equipment
= tension in the cables
In order for this scaffold to remain in equilibrium, the net force and torque on it must be zero. The net force acting on the scaffold can be written as
Set this aside and let's look at the net torque on the scaffold. Assume the counterclockwise direction to be the positive direction for the rotation. The pivot point is chosen so that one of the unknown quantities is eliminated. Let's choose our pivot point to be the location of . The net torque on the scaffold is then
Solving for T,
or
To solve for the the mass of the equipment , use the value for T into Eqn(1):