Answer:
∠b=82°
Step-by-step explanation:
143°=∠c+∠b (exterior angle property)
143°=61°+∠b
∠b=143-61
∠b=82°
Answer:
The maximum profit is when they make 10 units of A and 2 units of B.
Step-by-step explanation:
Let x is units of milk
Let y units of cacao
Given that :
The company's production plant has a total of 22 units of milk and 46 units of cacao available.
2x + y ≤ 22 (2 unit of milk for each of A and 1 for B; 22 units available)
4x + 3y ≤46 (4 unit of milk for each of A and 3 for B; 46 units available
Graph the constraint equations and find the point of intersection to determine the feasibility region.
The intersection point (algebraically, or from the graph) is (10, 2)
The objective function for the problem is the total profit, which is $6.2 per unit for A and $4.2 per unit for B: 6.2x + 4.2y.
Hence, we substitute (10, 2) into the above function:
6.2*10 + 4.2*2 = 70.4
The maximum profit is when they make 10 units of A and 2 units of B.
The number of players that can be taken to the tournament is 12 players.
The equation that can be used to represent the total amount spent by the soccer team is:
Total amount spent = cost of rented bus + (cost per meal x total number of players)
$1530.50 = $1164.50 + $30.50x
Where: x = total number of player
In order to determine the value of x, the following steps would be taken:
Combine similar terms
$1530.50 - $1164.50 = $30.50x
$366 = $30.50x
Divide both sides of the equation by 30.50
x = $366 / $30.50
x = 12 players
A similar question was answered here: brainly.com/question/22358515
∑[1/(3^(n-1))] represents the series 1+1/3+1/9+1/27+1/81+1/243 using sigma
notation. I am hoping that this answer has satisfied your query and
it will be able to help you in your endeavor, and if you would like, feel free
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