The equation \( s \times x = 2 \times 5 \) can be used to estimate the speed, \( s \), of a car in miles per hour, given the length in feet, \( x \), of the tire marks it leaves on the ground. A car traveling at 90 miles per hour came to a sudden stop. According to the equation, how long would the tire marks be for this car?
Answer (3)
The tire marks for a car traveling 90 miles per hour would be approximately 0.2778 feet long. ;
The equation s x = 25 estimates the speed (s) of a car given the length of tire marks (x) left on the ground. To find the length of the tire marks when a car is traveling at 90 mph, we rearrange the equation to x = 25 / s. Substituting the given speed, we get x = 25 / 90.
Step-by-step solution:
Identify the knowns: Speed (s) = 90 mph.
Rearrange the equation to solve for x: x = 25 / s.
Substitute the speed into the equation: x = 25 / 90.
Perform the division to find x: x ≈ 0.2778.
Therefore, the length of the tire marks would be approximately 0.2778 feet, which is likely an error since this is a very short length of skid marks for such a high speed. There might be a unit conversion error, so in reality, we would need to confirm the units used in the original equation. Given that the provided equation seems to use feet and mph inconsistently, for a real-world application, we would review the equation for unit consistency or seek additional information before making any final calculations.
The length of the tire marks for a car traveling at 90 miles per hour is approximately 0.1111 feet. This is calculated using the equation s × x = 10 , where s is the speed and x is the length of the tire marks. By substituting 90 for s , we find that x = 90 10 .
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