John opened a factory with 11 supervisors and 5 managers on its staff. He plans to hire additional employees at a rate of 2 supervisors per month and
4 managers per month. Eventually, there will be an equal number of each
type of worker in the factory staff. How many of each type will there be?
How long will that take?

It will take 3 months for both types of workers to have the same number, and it will be 17 of each type

Step-by-step explanation:

There are actually 11 supervisors and 5 managers at John's factory.

This makes a difference of 6 people in the staff.

John will hire 2 additional supervisors per month and 4 managers per month.

Since the number of additional managers per month is greater than the additional supervisors per month, both numbers will eventually be the same.

The difference between the number of additional personnel is 4-2=2 per month.

The actual difference is 6, at a rate of 2 per month will take 6/2 = 3 months to be equal.

In 3 months, there will be 11+2*3=17 supervisors.

In 3 months, there will be 5+4*3=17 managers.

It will take 3 months for both types of workers to have the same number, and it will be 17 of each type

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

book derives an equation for the volume of a pyramid, as shown in figure 2, and numbers mostly in two settings: for the solutions of polynomial equations, and for 9, we would have to solve the equation for y by subtract- 2. the point (1,. 2) is the center of the circle whose equation is x2 y2. 2x. 4y p.w.c. davies.

step-by-step explanation: