The Gardenview Hotel is seventeen less than twice the height of the Plaza Hotel. If their combined height is 361 feet, how tall
2 answers:
Answer:
The Gardenview Hotel height is measured at 38 feet.
Step-by-step explanation:
In order to solve this, we will first assign variables: let Garden View Hotel be 'x' and Plaza Hotel be 'y'. Thus, the initial equation based on the question is 17x - 2y = 0, and the second equation concerning their combined height is x + y = 361. We will proceed to solve these equations simultaneously to ascertain the height of the Gardenview Hotel.
(1)
(2)
Now, we will multiply the entire second equation by 2, allowing us to eliminate 'y' from both equations, leading us to a concluding equation from which calculating 'x' will yield the height of the Gardenview Hotel as 38 feet.
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Answer:
and
expressed in interval notation.
Step-by-step explanation:
A compound inequality has been provided. Our task is to determine the solution for this inequality.
Initially, we will address each inequality independently, followed by merging the findings by combining the overlapping intervals.
By dividing with a negative number, it is necessary to reverse the inequality sign:
Again, dividing by a negative requires flipping the inequality sign:
In combining both intervals, we will arrive at:
Thus, the solution for the inequality provided is and
in interval notation.