Part A: 6m + 12 + 42m, which combines to form 48m + 12. Another expression is 12 + 48m, because using the commutative property of addition, it is equivalent.
Part B: As I stated earlier, using the commutative property of addition, your expression 12 + 48m is equivalent to 48m + 12.
Part C: If you substitute 2 for m, you will get 108. If they are talking about the main equation, then if you substitute 2 for m, you will have 6(2 + 2 + 14) = 108.
Answer: 150c + 400t ≥ 4900
Step-by-step explanation:
Let the number of chairs sold = c
Let the number of tables sold = t
Price for each chair = $150
Price for each table = $400
The inequality that could represent the number of tables and chairs sold will be:
(150 × c) + (400 × t) ≥ 4900
150c + 400t ≥ 4900
Answer:
y = 0
Step-by-step explanation:
A parallelogram is a quadrilateral with opposite sides parallel. Then segment CD must be parallel to AB, and CB must be parallel to DA. Two different segments are parallel if they have the same slope.
slope of DA = (yA - yD)/(xA - xD) = (4 - 2)/(1 - (-1)) = 1
slope of CB = (yB - yC)/(xB - xC) = (2 - yC)/(1 - (-1)) = 1
(2 - yC) = 2 * 1
2 - 2 = yC
0 = yC
Note: coordinates of A are (xA, yA), of B are (xB, yB), of C are (xC, yC) and of D are (xD, yD)
If you want the answer to be 60 you could put 30+30=60