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
A ton is 2,000 pounds so multiply 2,000 x 18
2,000 x 18 = 36,000 pounds, now add the 42 pounds to the 36,000
36,000 + 42 = 36,042 pounds. Now divide 36,042 by 3
36,042 ÷ 3 = 12,014
Your answer is 12,014 pounds
If you need your answer in tons it's 6.007 tons
Calculations for pounds to tons
12,014 ÷ 2,000 = 6.007
Hope this helps. :)
Answer:
fsjnsijree
tgra
age
Step-by-step explanation:
agdgaregraegrea
gaa
Answer:
0.75
Step-by-step explanation:
6 / 8 =
0.75
Answer:
9514 1404 393
Answer:
C The unit rates are the same.
Step-by-step explanation:
The rate of change for the equation is the coefficient of x: 4.5.
The rate of change for the table is computed as described in the problem statement:
unit rate of change = ∆y/∆x = (18-9)/(4 -2) = 9/2 = 4.5
The unit rates are the same.
Step-by-step explanation:
