Answer:
The answer is 
.
Step-by-step explanation:
First, it is important to recall that the group law is not commutative in general, so we cannot assume it here. In order to solve the exercise we need to remember the axioms of group, specially the existence of the inverse element, i.e., for each element 
there exist another element, denoted by 
such that 
, where 
stands for the identity element of G.
So, given the equality 
we make a left multiplication by 
and we obtain:
But, 
. Hence, 
.
Now, in the equality we make a right multiplication by 
, and we obtain
.
Recall that 
and 
. Therefore,
.
Answer:
2561.2785
Step-by-step explanation:
Answer: A. An OPEN circle on the number 5 and an arrow shading to the RIGHT.
Answer:
x = 65
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
subtract the sum of the 2 given angles from 180° for third angle
third angle = 180° - (60 + 55)° = 180° - 115° = 65°
65° and x are vertical angles and are congruent, thus
x = 65
For large candles, the price is $10. They sold 42, we can say that. 42*10 is the total price or revenue without the cost to make the candles included. The cost to make the candles is $x. So we can say profit for large candles = (420 - 42x).
For small candles. The price is $5 and 56 are sold. The cost is again $x. So the profit for small candles is (280 - 56x).
So the total profit for part one of your question is (420 - 42x) + (280 - 56x).
In part to we are told that large candles cost $5 and small candles cost $3. Substituing this into are expression gives (420 - 42(5)) + (280 - 56(3)). This gives us $322. So the total profit is $322.
