Let the integers be x-2, x, x+2.
Given,
x -2 + x + x + 2 = 69
3x = 69
x = 23
Hence, the integers are 21, 23 and 25.
Answer:
The system is consistent; it has one solution ⇒ D
Step-by-step explanation:
A consistent system of equations has at least one solution
- The consistent independent system has exactly 1 solution
- The consistent dependent system has infinitely many solutions
An inconsistent system has no solution
In the system of equations ax + by = c and dx + ey = f, if
- a = d, b = e, and c = f, then the system is consistent dependent and has infinitely many solutions
- a = d, b = e, and c ≠ f, then the system is inconsistent and has no solution
- a ≠ d, and/or b ≠ e, and/or c ≠ f, then the system is consistent independent and has exactly one solution
In the given system of equations
∵ -2y + 2x = 3 ⇒ (1)
∵ -5y + 5x = 12 ⇒ (2)
→ By comparing equations (1) and (2)
∵ -2 ≠ -5
∵ 2 ≠ 5
∵ 3 ≠ 12
→ By using the 3rd rule above
∴ The system is consistent independent and has exactly one solution
∴ The system is consistent; it has one solution
Answer: Mary makes $1160, Steven makes $142.50
Step-by-step explanation:
Facts
MARY
8% commision on everything she sells
She sells a car for $14,500
The first question about Mary asks how much commision she makes. To find that, lets find 8% of 14,500
8% of 14,500= 0.08x14,500= 1160
Therefore, Mary makes $1,160 in commision.
STEVEN
Facts
He makes 15% in commision for the supplies he sells
He sells $950 in supplies
Money made =?
15% of 950=0.15x950=$142.50
Answer:
56
Step-by-step explanation:
20 feet =10 inchs
10 feet is 5 inches
5 feet is 2.5 inches
1 feet is 0.5 inch
10+5+2.5+0.5= 18 inches
10+10+18+18=56
Answer: 12.
Step-by-step explanation:
