When starting a new unit, a teacher announces that each day after the first, the class must do twice the total number of problems that had been assigned on all previous days. the class works for 6 days and on the 7th day she says that this is our last day of the unit. on that last day, what fraction of the problems do they still have to complete?

We have that

x number of problems that had been assigned the first day

problems to complete

 day                                                                            total

1 xx

2(x)*22x

3(x+2x)*26x

4(x+2x+6x)*218x

5(x+2x+6x+18x)*254x

6 (x+2x+6x+18x+54x)*2162x

7 ( x+2x+6x+18x+54x+162x)*2486x

486x-162x=324x problems to resolve last day

324/486=2/3

The fraction of the problems do they still have to complete on that last day is 2/3

in the math equation 8 x 7 = 56, the 8 and the 7 are both factors of 56, since in this lesson we will use square tiles to figure out the factors of a whole find as many different arrays as you can, but follow one important rule: all the rows must have the i can make two rows of nine, so 2 and 9 are both factors of 18.

step-by-step explanation: