The city plans a roadway to have trees every 1/6 mile. If the path is 5 1/2 miles long, how many trees will the city need?

The city will need 33 trees.

Step-by-step explanation:

Hi, to answer this question we simply have to divide the length of the path (5 1/2 miles) distance between trees (1/6).

Mathematically speaking:

5 1/2 ÷ 1/6 = (5x2+1) /2 ÷1/6 = 11/2 ÷1/6 = (11x6) /(2x1) = 66/2 =33 trees

The city will need 33 trees.

Feel free to ask for more if needed or if you did not understand something.  

a negative exponent is translated as follows:

so, we have

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.