The answer is 2/3 times as heavy as the dog.
Since we are looking for the weight of the cat in relation to the dog's weight, we have to divide the cat's weight by the dog's weight.
5 1/2 = 5.5, 8 1/4 = 8.25.
5.5 / 8.25 = 2/3.
For problems such as this, it can be handy to remember that
.. 1/(1/a +1/b) = ab/(a +b)
The time required to do a job is the inverse of the rate at which the job is done. Rates are added when people work together (in math problems, not in real life).
(2:44)*(3:14)/(2:44 +3:14) = 1:28:52.3
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2:44 = 41/15 hours = 82/30 hours
3:14 = 97/30 hours
Using the formula above, we have a "working together" time of
.. (82/30)*(97/30)/(82/30 +97/30) = 82*97/(30*179) = 3977/2685 . . . hours
.. = 1 hour 28 156/179 minutes
.. = 1 hour 28 minutes 52 52/179 seconds
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Learn to use the fraction functions on your calculator. They can be very helpful.
Answer:
Written Below.
Step-by-step explanation:
A system of linear equations has one solution when the graphs intersect at a point. A system of linear equations has no solution when the graphs are parallel. A system of linear equations has infinite solutions when the graphs are the exact same line.
(This uses graphing.)
Sidenote: I hope this helps! :)
Awnswr: 21* because 7 x =y and y= 21
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