Answer:
The answer is 18.84
Step-by-step explanation:
Let me know if this helped!
1 3/4 because you need to turn 1 1/2 to 1 2/4 then you add 1 2/4 + 1 3/4 which equals 2 5/4=3 1/4. Then you subtract 5- 3 1/4 = 1 3/4
Answer:
8
Step-by-step explanation:
We use the equation for the percentage of solute concentration in a solution:
(1)
In this case the equiation (1) is transformed into:
(2)
n = number of times he must waves his wand to have a solution that is at least 34% DeMuggle juice.
Vpo = Initial volume of the magic potion = 2000ml
Vjo= Initial volume of DeMuggle juice = 30% * Vpo = (0.3)2000 = 600ml
Vb= Volume of a bottle = 25ml
Vjb = DeMuggle juice volume in a bottle = 75% * Vb = (0.75)25= 18.75ml
Vpmt = Total volume of the magic potion = 2000 + 25*n = Vpo + Vb * n
Vjt = Total volume of DeMuggle juice = 600 + 18.75*n = Vjo + Vjb * n
Replacing in (2):
Since the number of times the wand should be waved must be an integer, it approximates 8
Replacing n=8 in (1)
1) Create a number line with that can fit all your numbers
-----|------|-------|-----|---
1 2 3 4
2) then put an x over the number that you have. If you have the number more than once put how many numbers there are Example: 1,2,3
x x x x x
---|--------|------|------- x x x
1 2 3 --------|-------|-------| <- For more than one of the same number 1 2 3 Example: 1,1,2,3,3
Answer:
<h2>$6049.63</h2>
Step-by-step explanation:
the objective is to maximize profit
let x be corn and y be oat
let us begging by formulating the linear program for the problem
The objective function is
111x+47y=P
The constraints are
1. capital
36x+18y=2100------------1
2. labor
6x(8)+2y(8)=2400
48x+16y=2400-------------2
solving 1 and 2 we apply substitution method
36x+18y=2100------1
36x=2100-18y
x=(2100-18y)/36
put x=(2100-18y)/36 in 2 we have
48(2100-18y)/36+16y=2400
(100800-864y)/36+16y=2400
2800-24y+16y=2400
-8y=2400-2800
-8y=-400
8y=400
y=400/8
y=50
to find x put y=50 in 36x+18y=2100------------1
36x+18(50)=2100------------1
36x+900=2100
36x=2100-900
36x=1200
x=1200/36
x=33.33
profit is
111x+47y=P
111(33.33)+47(50)=P
3699.63+2350=P
P=6049.63
$6049.63
the planning comnination is to work on
33.33 acre of corn and 50 acre of oat
