Answer:
A translation of 3 units to the right and a translation of one unit upwards.
Step-by-step explanation:
When we analyze translations of whole figures, all the points in the figure suffer the same translation, then we only need to analyze the translation of one of the points.
This means that we can only see the translation from A to A'
First, let's find the coordinates of each point:
A (2, 3)
A' (5, 4)
The translation is given if we calculate the difference between these coordinates:
A' - A = (5, 4) - (2, 3) = (5 - 2, 4 - 3) = (3, 1)
The change in the x-value is 3.
The change in the y-value is 1.
Then we can conclude that:
A' is 3 units at the right of A
A' is 1 unit above A.
Then the translation is:
A translation of 3 units to the right and a translation of one unit upwards.
Steve did it perfectly, because he got the common denominator first, then expanded and subtracted.
Answer:
7.52 x 10^12
Step-by-step explanation:
Answer:
The correct answer is D.
Step-by-step explanation:
Option A establishes that 4 dozen bagels and 3 dozen muffins will be prepared, thus spending $ 30 and 3 hours on muffins and $ 60 and 12 hours on bagels. In total, $ 90 and 15 hours will be spent, so this option is not correct.
Option B establishes that 2 dozen bagels and 6 dozen muffins will be prepared, thus spending $ 60 and 6 hours on muffins and $ 30 and 6 hours on bagels. In total, $ 90 and 12 hours will be spent, so this option is not correct either.
Option C states that 3 dozen bagels and 1 dozen muffins will be prepared, which will spend $ 10 and 1 hour on muffins and $ 45 and 9 hours on bagels. In total, $ 55 and 10 hours will be spent, so this option is not correct.
Finally, option D establishes that 1 dozen bagels and 3 dozen muffins will be prepared, thus spending $ 30 and 3 hours on muffins and $ 15 and 3 hours on bagels. In total, $ 45 and 6 hours will be spent, with which this option is within the predetermined parameters, that is, the expense is less than $ 60 and the time is less than 8 hours.
