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horsena [70]
3 years ago
7

Carlos is driving on a straight section of highway from Ashford to Lincoln. Ashford is at mile marker 333 and Lincoln is at mile

marker 453. A rest stop is located along the highway 2/3 of the distance from Ashford to Lincoln. Assuming Carlos drives at a constant rate of 60 miles per hour, how long will it take him to drive from Ashford to the rest stop? Round your answer to the nearest hundredth.
It will take _______hours to drive from Ashford to the rest stop?
Mathematics
1 answer:
Arte-miy333 [17]3 years ago
3 0

Distance between the two cities:

453 - 333 = 120 miles.

Rest area is 2/3 of the way:

120 x 2/3 = 240/3 = 80 miles.

Divide the miles to the rest stop by his speed:

80 miles/ 60 miles per hour = 1 and 1/3 hours as a fraction. 1.3333 as a decimal( round as needed.

( 1 hour and 20 minutes)

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1. Regroup terms
x(x+5)=104

2. Expand
x^2+5x=104

3. Move all terms to one side
x^2+5x-104=0

4. Factor x^2+5x-104
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5. Solve for x
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Since x<0 is not possible in this case, x=8

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We know that one side has to be x+5, and now that we know x:
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13*8=104

The dimensions are 13 and 8, have a nice day :D
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