The scale from a map to actual distance is 2.5 cm to 620 mi. The distance on the map between Chicago and Boston is about 3.5 cm.
1 answer:
Answer: 868 miles
Step-by-step explanation:
Given: The scale from a map to actual distance is 2.5 cm to 620 miles.
i.e. 1 cm on map =
If the distance on the map between Chicago and Boston is about 3.5 cm.
Then, the actual distance between them =
Hence, the approximate distance between Chicago and Boston = 868 miles.
You might be interested in
Answer:
The ratio of the first term to the common difference is 1 : 2
Step-by-step explanation:
The rule of the sum of the AP is
, where
a is the first number
d is the common difference
n is the position of the number
∵ = 4 ×
⇒ (1)
→ Find and
∵ In n = 10
∴
∴
∴ = 10a + 45d ⇒ (2)
∵ In n = 5
∴
∴
∴ = 5a + 10d ⇒ (3)
→ Substitute (2) and (3) in (1)
∵ 10a + 45d = 4[5a + 10d]
∴ 10a +45d = 20a + 40d
→ Subtract 40d from both sides
∴ 10a + 45d - 40d = 20a + 40d - 40d
∴ 10a + 5d = 20a
→ Subtract 10a from both sides
∴ 10a - 10a + 5d = 20a - 10a
∴ 5d = 10a
→ Divide both sides by 5
∴ d = 2a
→ That means d is twice a or a is half d
∴ a : d = 1 : 2
The ratio of the first term to the common difference is 1 : 2