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Two students used different methods to measure the length of their model bridge

project. One student measured the bridge length in feet using 11n−2.9. The second

student measured the bridge length in feet using 5n + 6.4 What is the value of n if

the two measurements are equal?

1 Answer

7 votes

Final answer:

To find the value of n when the two measurements are equal, set the two equations equal to each other and solve for n. The value of n when the two measurements are equal is 1.55.

Step-by-step explanation:

To find the value of n when the two measurements are equal, we need to set the two equations equal to each other and solve for n. The first student measured the bridge length as 11n - 2.9 feet, and the second student measured it as 5n + 6.4 feet. So, we have the equation 11n - 2.9 = 5n + 6.4. To solve for n, we can start by subtracting 5n from both sides to get 6n - 2.9 = 6.4. Then, we add 2.9 to both sides to get 6n = 9.3. Finally, we divide both sides by 6 to get n = 1.55. Therefore, the value of n when the two measurements are equal is 1.55.

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