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28 votes
Jada has a scale map of Kansas that fits on a page in her book. The page is 5 inches by 8 inches. Kansas is about 210 miles by 410 miles. Select ALL scales that could be a scale of the map.

A.) 1 inch to 1 mile
B.) 1 centimeter to 1 kilometer
C.) 1 inch to 1 kilometer
D.) 1 foot to 100 miles
E.) 1 centimeter to 200 kilometers
F.) 1 inch to 100 miles
G.) 1 centimeter to 1000 kilometers

I need an answer ASAP!! Please help me :')

User Hurelu
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2 Answers

16 votes
16 votes
E, F, g, are your answer
User Siefca
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18 votes
18 votes

Answer: The answer are (E), (F) and (G).

Step-by-step explanation: Given that Jada fits a scale map of kansas on a page in her book. The dimension of the page is 5 inches by 8 inches and kansas is about 210 miles by 410 miles. Given options are

(A) If we take 1 inch to 1 mile, then 5 inches will be 5 miles and 8 inches will be 8 miles, which are less than 210 and 410 miles respectively. So, this scale will not work.

(B) If we take 1 cm to 1 km, that is, .39 inches to .69 miles i.e., 1 inch to 1.76. So, 5 inches will be 8.8 miles and 8 inches will be 14.8 miles, which are again less than 210 and 410 miles. Hence, this scale will also not work.

(C) If we take 1 inch to 10 miles, then 5 inches will be 50 miles and 8 inches will be 80 miles, which are less than 210 and 410 miles respectively. So, this scale will not work.

(D) If we take 1 ft to 100 miles, i.e., 1 inch to 8.33 miles, then 5 inches will be 41.65 miles and 8 inches will be 66.64 miles, which are less than 210 and 410 miles respectively. So, this scale will also not work.

(E) If we take 1 cm to 200 km, i.e., 1 inch to 353.8 miles, then 5 inches will be 1769 miles and 8 inches will be 2830.4 miles, which are greater than 210 and 410 miles respectively. So, this scale will work.

(F) If we take 1 inch to 100 miles, then 5 inches will be 500 miles and 8 inches will be 800 miles, which are greater than 210 and 410 miles respectively. So, this scale will also work.

(G) If we take 1 cm to 1000 km, i.e., 1 inch to 1769 miles, then 5 inches will be 8845 miles and 8 inches will be 14152 miles, which are again greater than 210 and 410 miles respectively. So, this scale will work.

So, the correct options are (E), (F) and (G).

User Vpz
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