Answer:
<h2>16c² + 32cd + 16d²</h2>
Step-by-step explanation:
Area = (4c + 4d)×(4c + 4d)
= 16c² + 16cd + 16dc + 16d²
= 16c² + 32cd + 16d²
can you please explain it more clearly
Step-by-step explanation:
Answer:
t = 20 + q (minutes)
Step-by-step explanation:
The meeting consists of speaking and Question & Answer (Q&A) sessions.
Speaking session = 20 minutes
Q&A session = q minutes
Total number of minutes spent for the two sessions = 20 + q (minutes)
But total number of minutes meeting lasted = t minutes.
Therefore, t = 20 + q (because they both represent the total number of minutes the meeting lasted)
Break-even is the point where the profit and expenses are balanced. At this point, the sum of the fixed cost and the variable cost should be equal with the total sales. Therefore,
FC + VC = S
FC = 1400 + 2000 + 1600 = 5000
VC = 3x
S = 5x
where x is the number of tickets.
5000 + 3x = 5x
x = 5000 / (5-3)
x = 2500 tickets should be sold
Answer:
B. 110
Step-by-step explanation:
In one day, Joe consumes 530 calories by drinking 1 serving of juice, 2 servings of milk, and 1 soda. Darius consumes 370 calories by drinking 2 servings of juice and 1 serving of milk. Marian consumes 510 calories by drinking 3 servings of milk and 1 soda. Using matrices to solve, how many calories are in 1 serving of milk?
A. 90
B. 110
C. 130
D. 180
Answer:
Let x represent the amount of calories in 1 servings of juice, y represent the amount of calories in 1 servings of milk and z represent the amount of calories in 1 servings of Soda.
Joe consumption can be represented by:
x + 2y + z = 530 (1)
Darius consumption can be represented by:
2x + y = 370 (2)
Marian consumption can be represented by:
3y + z = 510 (3)
The equations can be represented in matrix form as:
The amount of calories in one serving of milk is 110 calories