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Verizon [17]
3 years ago
6

Lily's car used 6 gallons of gas to drive 237 miles. At what rate does her car use gas in miles per gallon? Express your answer

in simplest form.
Mathematics
1 answer:
iogann1982 [59]3 years ago
7 0

Answer:

<u>39.5 miles/gallon.</u>

Step-by-step explanation:

6 gallons of gas used to drive 237 miles

The rate of her car uses gas in miles per gallon =

\frac{237 miles}{6 gallons} = \frac{237}{6} = 39.5 \ miles/gallons

Which mean the car will consume 1 gallon for each 39.5 miles.

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Find the equation of the line through the point (2, 5) that cuts off the least area from the first quadrant. Give your answer us
Amanda [17]

The equation of the line would be

y = mx+b 

where m is the slope, b is the y intercept. 

<span>The line will form a triangular region in the first quadrant. Its area would be 1/2 base times height. The height is the y intercept and the base is y intercept divided by slope. Therefore,</span>

A = b^2/2m

At point (2,5)

5 = 2m+b

Substitute that in the area

A = b^2/5-b to find the least area, differentiate the area with respect to the height and equate it to 0 

dA/db = 0

<span>find b and use that to find m. Then, you can have the equation of the line.</span>


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3 years ago
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Tell why sometimes you write the percent as a fraction and other times as a decimal when you find the percent of a number.
Marysya12 [62]
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3 years ago
Find the length of the missing triangle. round your answer to three decimal places
Vedmedyk [2.9K]

Answer:

There is just one simple rules for find other side

Step-by-step explanation:

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Is this correct? im just suspicious about every box being checked.
Anvisha [2.4K]

Answer:

yes, all of it is correct

Step-by-step explanation:

For the two triangles to be congruent, you would need the following angles and lengths to be congruent with each other.

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2 years ago
What is 1/2 divided by 5/6
aleksley [76]

Answer:

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Step-by-step explanation:

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3 years ago
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