MATHEMATICS HIGH SCHOOL

Brianna went to Los Angeles for a vacation. She spent 5 nights at a hotel and rented a car for 6 days. Justin stayed at the same hotel, but spent 7 nights and rented a car for 8 days from the same company. If Brianna paid $1170 and Justin paid $1610, how much did one night at the hotel cost?

Answers

Answer 1

Answer:

$150 per night

Use a system of equations using x (cost of hotel) and y (cost of car):

5x + 6y = 1170

7x + 8y = 1610

Solve for y in one of the equations and then use substitution to solve for x in the other:

6y = 1170 - 5x

y = (-5/6)x + 195

7x + 8((-5/6)x + 195) = 1610

7x + (-20/3)x + 1560 = 1610

(1/3)x +1560 = 1610

(1/3)x = 50

x = $150 a night

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Answers

Answer:

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Which reason completes the proof in the picture A.alternate interior angles converse
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Answers

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Angle 1 is congruent to angle 2 because they are opposite angles of the larger parallelogram. Angle 2 is congruent to angle 3 because they are opposite angles of the smaller parallelogram.

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