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in the west region of the us, the ratio of densely vegetated land to sparsely vegetated land is 11:1811:18 in the central region of the us, the ratio is 3:13:1 what is the difference in percentage of densely vegetated land from the west region to the central region?

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Q. in the west region of the us, the ratio of densely vegetated land to sparsely vegetated land is 11:1811:18 in the central region of the us, the ratio is 3:13:1 what is the difference in percentage of densely vegetated land from the west region to the central region?
  1. Calculate Ratio: To find the percentage of densely vegetated land in the West region, we need to calculate the part of the total that is densely vegetated. The ratio given is 11:1811:18, which means for every 1111 parts of densely vegetated land, there are 1818 parts of sparsely vegetated land.\newlinePercentage of densely vegetated land in the West region = (Densely vegetated land / Total land) ×100\times 100\newlineTotal land = Densely vegetated land + Sparsely vegetated land = 11+18=2911 + 18 = 29 parts\newlinePercentage of densely vegetated land in the West region = (11/29)×100(11 / 29) \times 100
  2. Calculate West Percentage: Now, let's calculate the actual percentage for the West region. Percentage of densely vegetated land in the West region = (11/29)×100≈37.93%(11 / 29) \times 100 \approx 37.93\%
  3. Calculate Central Percentage: Next, we calculate the percentage of densely vegetated land in the Central region. The ratio given is 3:13:1, which means for every 33 parts of densely vegetated land, there is 11 part of sparsely vegetated land.\newlinePercentage of densely vegetated land in the Central region = Densely vegetated landTotal land×100\frac{\text{Densely vegetated land}}{\text{Total land}} \times 100\newlineTotal land = Densely vegetated land + Sparsely vegetated land = 3+1=43 + 1 = 4 parts\newlinePercentage of densely vegetated land in the Central region = 34\frac{3}{4} ×100\times 100
  4. Find Percentage Difference: Now, let's calculate the actual percentage for the Central region.\newlinePercentage of densely vegetated land in the Central region = (3/4)×100=75%(3 / 4) \times 100 = 75\%
  5. Calculate Actual Difference: Finally, we find the difference in percentage of densely vegetated land between the West and Central regions.\newlineDifference in percentage = Percentage in Central region - Percentage in West region\newlineDifference in percentage = 75%−37.93%75\% - 37.93\%
  6. Calculate Actual Difference: Finally, we find the difference in percentage of densely vegetated land between the West and Central regions.\newlineDifference in percentage = Percentage in Central region - Percentage in West region\newlineDifference in percentage = 75%−37.93%75\% - 37.93\%Now, let's calculate the actual difference in percentage.\newlineDifference in percentage = 75%−37.93%≈37.07%75\% - 37.93\% \approx 37.07\%

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