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Answer :
Final answer:
The Río Grande is 1896 miles long.
Explanation:
The given information tells us that the Amazon River is 1688 miles shorter than 3 times the length of the Río Grande. Let's define the length of the Río Grande as 'x'.
According to the information, we can set up the equation:
Amazon River = 3 × Río Grande - 1688
Since the Amazon River is 4000 miles long, we can substitute that into the equation:
4000 = 3x - 1688
Simplifying the equation, we get:
5688 = 3x
Dividing both sides by 3, we find that:
x = 1896
Therefore, the length of the Río Grande is 1896 miles.
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Final answer:
To determine the length of the Río Grande, we use the given information to create the equation 3x - 1688 = 4000, solve for x, and find that the Río Grande is 1896 miles long.
Explanation:
To solve how long the Río Grande is, based on the given information about the Amazon River, we can set up an algebraic equation. We know the length of the Amazon River (4000 miles) and that it is 1688 miles short of being three times the length of the Río Grande. If we let x represent the length of the Río Grande, then the equation we need to solve is 3x − 1688 = 4000.
We can solve the equation as follows:
- Add 1688 to both sides of the equation: 3x = 4000 + 1688
- Combine the numbers on the right-hand side of the equation: 3x = 5688
- Divide both sides by 3 to solve for x: x = 5688 / 3
- Calculate the division: x = 1896
So, the Río Grande is 1896 miles long.
