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:
Ben weighs 23.1 lbs more than Jennifer.
Step-by-step explanation:
To find the difference between Ben and Jennifer's weight, you have to subtract the smaller number from the bigger number. In this case, subtract Jennifer's weight from Ben's weight. This would look like this: 140.8-117.8.
140.8-117.7=23.1
Therefore, Ben weighs 23.1 lbs more than Jennifer.
Answer:
Quinn can expect to pick blue 40 times
Step-by-step explanation:
the probability of picking blue is stated as 2/10 which can be reduced to 1/5
multiply the number of times they pick a marble ( shown as 200) by the probability of picking a blue one ( 1/5)
200 x 1/5 = 200 / 5 = 40
Quinn can expect to pick blue 40 times
Answer:
215
Step-by-step explanation:
subtract 30 from 225
