Answer:
The lines don't intercept
Step-by-step explanation:
we have

isolate the variable y
Divide by 3 both sides

simplify
-----> equation A

Isolate the variable y

Divide by 6 both sides

simplify
-----> equation B
Compare equation A and equation B
The slopes are the same and the y-intercepts are different
Remember that
If two lines has the same slope, then the lines are parallel
therefore
In this problem line A and line B are parallel lines
The system of equations has no solution, because the lines don't intercept
Answer: She would have to burn between 220 and 240 calories per minute to have a calorie burn rate between those of Martin and Paul.
Step-by-step explanation:
Martin:
360 calories / 30 min = 12 calories/min
Paul:
165 calories / 15 min = 11 calories/min
Kara:
Needs to burn between 11 and 12 calories/min, so we'll calculate the range:
11 calories/min x 20 min = 220 calories (minimum # calories she can burn)
12 calories/min x 20 min = 240 calories (maximum # calories she can burn)
Answer:
a = (r/x) -b
x = -14
Step-by-step explanation:
r=x(a+b)
Divide each side by x
r/x = a+b
Subtract b
r/x -b = a
x/2=-7
Multiply each side by 2
x/2*2 = -7*2
x = -14
Answer:
Step-by-step explanation:
3/4 x 28=21 Madilyn built 21 toys.
1/7 x 28=4 Penelope built 4 toys.
21+4=25 25 toys have been built altogether.
28-25=3
There are 3 toys left to build.
Answer:
C
Step-by-step explanation:
Start from left to right