Problem Page Jessica's boat has a top speed of 6 miles per hour in still water. While traveling on a river at top speed, she wen
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Based on the exchange rate, at the end of the trade, Lewis will have 31 puppets and 2 puzzles left over while Geppeto will have 158 puzzles and 4 puppets left over.
<h3>What is the exchange rate of puzzles for puppets?</h3>The exchange rate of puzzles for puppets is 3 to 1.
Geppeto has 20 puppets to exchange for puzzles.
Lewis has 50 puzzles to exchange for puppets.
Number of times Lewis can exchange puzzles for puppets = 50/3 = 16 times.
Lewis will get 16 puppets in exchange for 48 puzzles.
Therefore;
Lewis will have 16 + 25 puppets = 31 puppets and 2 puzzles left over
Geppeto will have 48 + 100 puzzles = 158 puzzles and 4 puppets left over.
in conclusion, the exchange rate determines the how many puzzles and puppets will each one have after they complete their trade.
Learn more about exchange rate at: brainly.com/question/2202418
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Answer:
5x + 3y = 13 parallel.
6x - 10y = 7 perpendicular.
Step-by-step explanation:
Two lines with slopes and
are parallel when
and are perpendicular when
Now determine the slope of all the lines
The line jk passes through the points
(-5,5) and (1,-5) so its slope is
To determine the slope of the lines in the blue rectangles, isolate y from each one and the coefficient of x is the slope
5x-3y = 8 ------> y = (5/3)x + 8/3 ------> slope 5/3
Neither parallel nor perpendicular.
6x+10y = 11 ------> y = (-6/10)x + 11/10 = (-3/5)x + 11/10 ------> slope -3/5
Neither parallel nor perpendicular.
5x + 3y = 13 ------> y = (-5/3)x + 13/3 ------> slope -5/3
This line is parallel
6x - 10y = 7 ------> y = (6/10)x - 7/10 = (3/5)x -7/10 ------> slope 3/5
Since (-5/3)(3/5) = -1 this line is perpendicular.