represent the proportional relationship described with an equation where n equals the number of nickels and q equals the number of quarters: five nickels for each quarter

a) n = 5q

b) 5n = q

c) n = 4 q

d) q = 4 n

Correct option is:

B) 5n = q

Step-by-step explanation:

Let n be the number of nickles

and q be the number of quarters

We have to find a equation which represents the situation:

five nickels for each quarter

i.e. each quarters equals 5 nickles

Then, q quarters equal to:

q=5n

Hence, Correct option is:

B) 5n = q

30

step-by-step explanation:

times by times

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.