A robot can complete 7 tasks in 4/5 hour. Each task takes the same amount of time. a. How long does it take the robot to complete one task?
b. How many tasks can the robot complete in one hour?
a. It takes the robot hour(s) to complete one task.

A) To solve this we have to find the unit rate of hours so 60/5 is 12 and 12 times 4 is 48 which is the time it takes to complete 7 tasks. We know that it takes 48 minutes to do 7 takes so 48/7 is about 6.85 minutes which the unit rate.

It takes about 6.85 minutes to complete one task.

B) if the robot can complete 7 tasks in 48 minutes how many minutes is there left to spare? 60 minus 48 is 12 so we only have 12 minutes left. If it takes the robot about 6.85 minutes for one tasks 12-6.85 is 5.12 meaning that there is only 1 other tasks that is able to be completed.

The robot can complete 8 tasks in 1 hour.

C) It takes the robot 0 hours and about 7 minutes to complete one task as explained in question A.

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: