All you need to do to find the slope here is put it into y = mx + b format.
5y + 6x - 2 = 0
the goal is to get the y alone, so...
5y = 2 - 6x
divide both sides by 5
y = 2/5 - (6/5)x
then, just to be clearer for y = mx + b ...... y = (-6/5)x + (2/5)
the slope should be (-6/5)
Answer is D!
a negative and a negative equals a positive
Answer:
506
Step-by-step explanation:
- 9 * 2 ÷ 3
Simplify using the order of operations (exponents first)
= 512
512 - 9 * 2 ÷ 3
Multiply
512 - 18 ÷ 3
Divide
512 - 6
Subtract
506
Hope this helps :)
We know that 10 drops of liquid is .1 fluid ounces. What we could do is divide 0.1 by 10 to find what 1 drop of liquid is, 0.1 divided by 10 is equal to 0.01 fluid ounces.
What we can then do knowing what 1 fluid ounce is, is multiply it by 1000.
0.01 * 1000 = 10
The volume of 1000 drops is 10
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
