Answer: Option 1
Step-by-step explanation:
See attached image
Answer:
m<A=94
Step-by-step explanation:
(2x+10)+(2x+2)=180
4x+12=180
-12 -12
4x=168
/4 /4
x=42
m<A= 2x+10
m<A=2(42)+10
m<A=84+10
m<A=94
Check:
Add m<A and m<B which should equal 180.
m<B=2x+2
m<B=2(42)+2
m<B=84+2
m<B=86
94+86=180
Answer:
Tank B
Step-by-step explanation:
Proportional relationships are relationships between two variables with equivalent ratios. For a proportional relationship, one variable is always a constant value times the other. A line is a proportional relationship if it starts from the origin, but if it does not start from the origin, it is not proportional.
From the two tanks, we can see that tank A have a y intercept whereas tank B starts from the origin. Therefore tank B shows a proportional relationship.
Answer:
-1, -24
Step-by-step explanation:
-9-(-8)
double negative = positive
-9+8=-1
21-45=-24
Answer:
The minimum cost of producing 60000 units of a product is $105867
Step-by-step explanation:
Since x is the number of units of labor, at $99 per unit, and y is the number of units of capital expended, at $84 per unit, The cost C(x,y) is given by:
For the minimum cost:
Using the langrage multiplier,
Dividing both equation 1 and 2
Substituting in , we get:
labor units
Substituting labor units in , we get
labor unit
The minimum cost of producing 60000 units of a product is $105867