Conversion factors:
2 pints = 1 quart
4 quarts = 1 gallon
60 minutes = 1 hour
15 pints/minute x 60 minutes/hour x 1 quart/2 pints x 1 gallon/4 quarts = 112.5 gallons/hour
1)100 or A
Angle = |30*H - (11/2)*M|, where H is the hours hand and M is the minutes hand
in this case: H = 4, M= 40
30*4 - (11/2)*40 = 120 - 220 = -100 = |-100| = 100
2)x=4y or C
If you plug in 0,0 you will get 0=4×0 or 0,0
Mark Achin's economic order quantity in units is <u>D. 120 units</u>.
<h3>What is economic order quantity?</h3>
The economic order quantity (EOQ) is the optimal order quantity that minimizes the total costs (ordering, receiving, and holding inventory).
The formula for the economic order quantity is the square root of [2(setup costs)(demand rate)] / holding costs.
<h3>Data and Calculations:</h3>
Annual demand = 3,600
Cost price per unit = $200
Ordering cost = $40
Holding cost per unit = $20
Working days per year = 360
Lead time = 5 days
Economic order quantity (EOQ) = square root of: [2(setup costs)(demand rate)] / holding costs.
= square root of (2 x $40 x 3,600)/$20
= 120
Thus, Mark Achin's economic order quantity in units is <u>D. 120 units</u>.
Learn more about the economic order quantity at brainly.com/question/13386271
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Set equations for both containers:
Condition one: $y=2x$
Condition two: $(y-3)=4.5(x-2)$
plug in $y$ from condition one into the second equation:
$2x-3=4.5x-9$
simplify gives: $2.5x=6$
$\boxed{x=2.4}$
$\boxed{y=4.8}$