Answer:
The length of one lap of the track would be about 377 feet
Step-by-step explanation:
- The length of any circular path is equal to the circumference of the circular path
- The circumference of a circle C = π d, where d is the lengths of its diameter
∵ A circular race track has a diameter of 120 feet
→ That means the length of each lap equal the circumference of the track
∴ The length of one lap = C
∵ The diameter of the track is 120 feet
∴ d = 120 feet
∵ C = πd
∴ C = π(120)
→ Use π = 3.141
∴ C = (3.141)(120)
∴ C = 376.92 feet
→ Round it to the nearest whole number
∴ C ≅ 377 feet
∴ The length of one lap of the track would be about 377 feet
I believe this question logically tells us to find the value of w. The two equations are already equated. Since there is 1 unknown and 1 equation, the system is solvable. The solution is as follows:
5/(6w+21) = -1/3(2w - 9)
5/(6w+21) = -1/(6w - 27)
Cross multiplying the terms:
5(6w - 27) = -1(6w +21)
30w - 135 = -6w - 21
30w + 6w = -21 + 135 = 114
36w = 114
w = 114/36
w = 19/6 or 3.167
Answer:
1/2x +2
Step-by-step explanation:
Let's say there are 2 teams : A & B
A leads with x points, while B score 2 points less than half of B's score (x)
B = 1/2 of B score - 2
The difference of A - B = x - (1/2x - 2) = x - 1/2x + 2 = 1/2x + 2