Sam is practicing long track speed skating at an ice skating rink. The distance around the rink is 250 yards. He has skated around the rink 5 times so far. How many more yards does he need to skate around the rink to complete 3 miles? Sam needs to skate more yards.

He needs to complete a distance of 4,030 yards around the rink to make a total skating distance of 3 miles

Step-by-step explanation:

In this question, we are asked to calculate the number of yards needed to complete 3 miles skating around a rink.

We proceed as follows;

First, we can see he has skated 5 times around a rink that has a distance of 250 yards. His total distance covered would be 250 * 5 = 1250 yards

Now he is looking at completing 3 miles, we need to know the number of yards in 3 miles.

Mathematically, 1 mile = 1760 yards

3 miles = 3 * 1760 = 5,280 yards

To know the number of yards he need to skate more, we simply carry out a subtraction;

5,280 yards - 1250 yards = 4,030 yards

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x