The things you can apply to complete this job is workers and time. The job being accomplished is painted walls. This problem defines two jobs. The rate for each of the jobs will be the same. The first job rate is: R=(7 wkr)•(42 min)/(6 walls)R= 49 wkr-min/walls or 49 worker-minutes per wall. This means one worker can paint one wall in 49 minutes. If you think about this job if 7 workers take 42 minutes to do 6 walls it will only take them 7 minutes to do one wall. And it will take one person 7 times as long to do a job as 7 people working together. This first job rate equals the second job rate R=(8 wkr)•(t )/(8 walls)R=1 t wkr/wall where t is the time to do the second job. Setting the two rates equal to each other and solving for t. t=49 minutes It makes sense if one worker can paint one wall in 49 minutes then 8 workers can paint 8 walls in the same time.
Answer:
price = $190
quantity = 950 tickets
Step-by-step explanation:
revenue = price * quantity
n = number of $10 price reductions
price = 300 - 10n
quantity = 400 + 50n
r = (300 - 10n)(400 + 50n)
recognize these as the factors of a quadratic that opens down
the vertex will therefor be the maximum revenue
the roots are:
300 - 10n = 0
300 = 10n
n = 30
400 + 50n = 0
50n = -400
n = -8
vertex is at mid point of the roots
n = (-8 + 30)/2
n = 11
price = 300 - 10n
price = 300 - 10(11)
price = 190
quantity = 400 + 50n
quantity = 400 + 50(11)
quantity = 950
15 $50 dollar bills and 27 $20 dollar bills, a total of 42 bills
Answer:
38 mm³
Step-by-step explanation:
Calculate the volume of the cylinder and of the cone separately.
1. Volume of cylinder
The formula for the volume V of a cylinder is
V = πr²h
Data:
D = 4 mm
h = 2 mm
Calculations:
a. Calculate the radius
D = 2r
r = D/2 = 4/2 = 2 mm
b. Calculate the volume
V = 3.14 × 2² × 2 = 25.12 mm³
2. Volume of cone
The volume for the volume (V) of a cone is
V = ⅓πr²h
V = ⅓ × 3.14 × 2² × 3
V = 18.85 mm³
3. Calculate the total volume
V = 25.12 mm³ + 12.57 mm³ = 38 mm³
I believe the answer is 5x+2y=6
