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stiv31 [10]
3 years ago
8

The top of blue mountain ski slope 19 3/4 yards above sea level. The lowest point of the ski point is 12.5 yards below sea level

. Deangelo and Kashawn are going skiing and will be taking a ski lift up to the top of the mountain. The ski lift is going to pick them up at the midpoint between top and bottom of the slope. At what elevation will they be picked up?
Mathematics
1 answer:
lorasvet [3.4K]3 years ago
5 0

Answer: 3.625 yards above the sea level.


Step-by-step explanation:

Given:  The elevation of top of top of blue mountain above the sea level= 19\frac{3}{4}=19.75\ yards

The length of the lowest point below the sea level= 12.5 yards

The total elevation from the lowest point under the sea and the top  of blue mountain=19.75+12.5=32.25 yards

The midpoint between the top and bottom of the slope = \frac{1}{2}\times32.25=16.125\ yards

Since the ski lift is going to pick them up at the midpoint between top and bottom of the slope.

Therefore, the elevation at which they will be picked up= 19.75-16.125=3.625\ yards above the sea level.

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9x + 5x + 3x = 306

Our next step is to simplify the left side of the equation by combining all of the like terms, the ones that contain variables.

17x = 306

Finally, to solve this equation, you have to divide both sides by 17 to isolate the variable x on the left side of the equation.

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Your final ratio is 162:90:54.

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