on Tuesday, elena completed 20 of her math homework in 36 minutes. At that same rate, how long will it take her to complete 35 items for wednesdays math home work

since the rate is the same,

x/35 = 36/20

To find out how long it will take Elena to complete 35 items for Wednesday's math homework, we need to determine the time it takes her to complete one item of math homework.

Let's calculate the time it takes Elena to complete one item of math homework:

If Elena completed 20 items of math homework in 36 minutes, then she completes:
1 item of math homework in (36 minutes / 20 items) = 1.8 minutes per item.

Now that we know it takes Elena 1.8 minutes to complete one item of math homework, we can calculate the time it will take her to complete 35 items:

Time to complete 35 items = (1.8 minutes per item) * 35 items

Calculating this:
Time to complete 35 items = 63 minutes

So, it will take Elena 63 minutes to complete 35 items for Wednesday's math homework.