0 ounces remain; since he distributed it evenly among four individuals, each cup contained 8 ounces, meaning he consumed the entire cup.
Answer:
The transformation is a reflection over the x-axis followed by a translation 6 units left and 2 units down.
Step-by-step explanation:
To determine the order of transformations from ΔABC to ΔA"B"C", note that the figure first changes to ΔA'B'C', and then to ΔA''B''C''.
The transition from ΔABC to ΔA'B'C' involves a reflection over the x-axis, as ΔA'B'C' appears as a mirror image flipped vertically.
Next, moving from ΔA'B'C' to ΔA''B''C'' entails shifting the figure left by 6 units and downward by 2 units. This matches a translation by -6 in the x direction and -2 in the y direction.
Thus, the accurate description is:
Reflection across the x-axis followed by a translation of -6 units in x and -2 units in y.
Answer:
X ball bearings can be produced in 1 hour and 20 minutes
Step-by-step explanation:
Proportions
Proportions serve as an essential method for solving various common challenges. We understand that:
Company ABC manufactures X ball bearings in 3 hours.
Company DEF produces X ball bearings in 4 hours.
Company GHI generates X ball bearings in 6 hours.
In a single hour, each company is capable of producing:
ABC: X/3 ball bearings
DEF: X/4 ball bearings
GHI: X/6 ball bearings
By collaborating, they can produce

ball bearings. Operating together

If their output is 3/4 of a ball bearing in one hour, then it will take
hours to create one complete ball bearing. This translates to 1 hour and 20 minutes.
X ball bearings can be produced in 1 hour and 20 minutes