The average hourly wage of computer programmers with 2 years of experience has been $21.80.Because of high demand for computer p
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Answer:
Janice and Karen could do in 1 day:
- <u>20% of the job</u>.
Step-by-step explanation:
To identify how much of the job could janice and caren do in 1 day, first, we must find how much of the job make just 1 person at the same rate:
If three persons make a job in 3 1/3 days, 1 person make the job in x:
- 3 persons ⇒ 3 1/3 days or 10/3 days
- 1 person ⇒ x
Then:
(we cancel the unit "persons")
- x = 10 days
Just a person would need 10 days to complete a job, now, we're gonna divide this value in 2 to obtain the time that need two persons to complete a job:
- Time to complete a job between 2 persons =
- Time to complete a job between 2 persons = 5 days
How two persons need 5 days to complete a job (in this case, the two persons are Janice and Karen), we can make a simple rule of three to obtain the percentage made in 1 day:
- 5 days ⇒ 100% of a job
- 1 day ⇒ x
Then:
(you can use the % if you want, the result is the same)
As you can see, <u><em>Janice and Karen just in a day could do 20% of the job</em></u>.
Answer:
y = - 4x + 3
Step-by-step explanation:
The perpendicular bisector is positioned at the midpoint of AB at right angles.
We require to find the midpoint and slope m of AB
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = A(3, 8) and (x₂, y₂ ) = B(- 5, 6)
m = =
=
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= - 4
mid point = [0.5(x₁ + x₂ ), 0.5(y₁ + y₂ ) ]
Using the coordinates of A and B, then
midpoint AB = [0.5(3 - 5), 0.5(8 + 6) ] = (- 1, 7 )
Equation of perpendicular in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
with m = - 4
y = - 4x + c ← is the partial equation
To find c substitute (- 1, 7) into the partial equation
Using (- 1, 7), then
7 = 4 + c ⇒ c = 7 - 4 = 3
y = - 4x + 3 ← equation of perpendicular bisector