Amy runs 1 mile in 7.6 minutes so in 57 minutes she will have run 7.5 miles
Answer: b/65=7/13
65/13=5
35/7=5
Step-by-step explanation:
A system is inconsistent when there are no solutions between the two equations. Graphically, the lines will be parallel (they never meet!) and the slopes will be the same. But the y-intercepts will be different.
Let's look at the four equations, with each solved as needed, into y = mx + b form.
A: 2x + y = 5
y = 5 - 2x
y = -2x + 5
Compared to y = 2x + 5, the slopes are different, so this system won't be inconsistent. Not a good choice.
B: y = 2x + 5
Compared to y = 2x + 5, the slopes are the same and the y intercepts are the same. This system has infinitely many solutions. Not a good choice.
C: 2x - 4y = 10
-4y = 10 - 2x
-4y = -2x + 10
y = 2/4x -10/4
Here the slopes are different, so, like A this is not a good choice.
D: 2y - 4x = -10
2y = =10 + 4x
2y = 4x - 10
y = 2x - 5
Compared to y = 2x + 5 we have the same slopes and different y intercepts. The lines will be parallel and the system is inconsistent.
Thus, D is the best choice.
Possible unit is m³
<u>Step-by-step explanation:</u>
- The possible unit for volume of a cone is m³
- Volume of a cone = Base area × Height
- Here unit for volume will be square units and that of height will be in units. Together, they form cubic units.
- In the given options, the only unit that is in cubic form is m³
Answer:
Step-by-step explanation:
-x-2y+4z=-14
x=-2y+4z+14
2x+2y+2z=-6
2x=-2y-2z-6
x= -y-z-3
-x-6z=-3
x=3-6z