Gail rode her bicycle 325 miles in 5 days.
How many
miles did she ride each day?

Our final answer is the average speed is 7 and 2/3 miles per hour

Step-by-step explanation:

We want to find the speed of Maria's bike (miles per hour). Realize that 3/4 of an hour is 45 minutes. So if we take the total miles (5 and 3/4 miles) and divide by 45 mins, we will get the total miles per min.

We can convert 5 and 3/4 miles to a single fraction > 5 and 3/4 = 5 +3/4 = 5/1 + 3/4 = 20/4 + 3/4 = 23/4

Now we take 23/4 and divide this number by 45. ( or multiply by 1/45). This answer is 23/180 and THIS NUMBER represents the total amount of MILES PER MIN. BUUUTT we want the total amount of MILES PER HOUR. What do we do?

We take the total miles per minute and multiply this answer (23/180) by 60 minutes [60 mins = 1 hour].

Thus (23/180)*60 = 1380/180 > which is equal to 1260/180 + 120/180 = 7 + 2/3 = 7 and 2/3

Our final answer is the average speed is 7 and 2/3 miles per hour

30 units^2

step-by-step explanation:

area is l × w

the length is 3

and the width is 10

3 × 10= 30 units squared

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1