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3 years ago

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The distance from New York City to Los Angeles is 4090 kilometers. a. [3 pts]What is the distance in miles? (You must use unit f

ractions. Round to the nearest mile and be sure to include units.) b. [3 pts]If your car averages 31 miles per gallon, how many gallons of gas can you expect to use driving from New York to Los Angeles? (You must use unit fractions. Round to one decimal place and be sure to include units.)

1 answer:

sergejj [24]3 years ago

6 0

Answer: a) 2556.25 miles

b) 82.5 gallons

Step-by-step explanation:

Given : The distance from New York City to Los Angeles is 4090 kilometers.

$=4090\times\dfrac{5}{8}=2556.25\text{ miles}$ [∵ 1 km= $\dfrac{5}{8}$ miles]

Hence, the distance in miles= 2556.25

If your car averages 31 miles per gallon, then the number of gallons of gas required to use driving from New York to Los Angeles = $\dfrac{\text{Distance}}{31}$

$=\dfrac{2556.25}{31}=82.4596774194\approx82.5\text{gallons}$

Hence, the required number of gallons = 82.5 gallons

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Let <em>a</em> be the first term in the arithmetic sequence. Since it's arithmetic, consecutive terms in the sequence differ by a constant <em>d</em>, so the sequence is

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so that

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and since the second arithmetic and geometric terms are both 1/2, this means that

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s + 7 = 2 + 7 = 9

2. If r = 5, s = 2, t = 7, and u = 1 then,

5r - 4 = 5(5) - 4 = 25 - 4 = 21

3. if r = 5, s = 2, t = 7, and u = 1 then,

t - s = 7 - 2 = 5

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6 + 3u = 6 + 3(1) = 6 + 3 = 9

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4r - 10s = 4(5) - 10(2) = 20 - 20 = 0

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