Sample Response:
<em>The linear equations have the same slope, so the rate of change for each is the same. As long as the rate of change is the same, the lines will stay the same distance apart and not intersect.</em>
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Answer:1 hour 6 minutes
Step-by-step explanation:
5 min from 5:55 til 6:00. Then one whole hour from 6:00 to 7:00. Then, add on that extra 1 min. 1 hour and 6 min.
Answer:
Width of the box = 2 inches
Step-by-step explanation:
Volume of a box = length × width × height
Volume of the box = 240 cubic inches
Length of the box = (x + 8) inches
Width of the box = x inches
Height of the box = 12 inches
Volume of a box = length × width × height
240 = (x + 8) * x * 12
240 = (x² + 8x) * 12
240 = 12x² + 96x
12x² + 96x - 240 = 0
x² + 8x - 20 = 0
Solve quadratic equation using factorization method
x² + 10x - 2x - 20 = 0
x(x + 10) -2(x + 10) = 0
(x + 10) (x - 2) = 0
x + 10 = 0 OR x - 2 = 0
x = -10 OR x = 2
Width of the box can not be a negative value
Therefore,
Width of the box = 2 inches
Answer:
Hi there!
Your answer is:
It will take 2.2 months for both gyms to be the same amount of money!
Step-by-step explanation:
Fitness 19:
39+ 17x
Anytime Fitness:
50+ 12x
Put them equal to each other:
39+17x = 50+12x
-12x
39+5x = 50
-39
5x = 11
/5
x= 2.2 months
39+17(2.2)= 76.4$
50+12(2.2)= 76.4$
Hope this helps!
