Let t and p represent the numbers of turtles and pelicans, respectively.
... 2p + 4t = 114 . . . . . . . the number of legs is 114
... p + t = 34 . . . . . . . . . the number of animals is 34
Divide the first equation by 2 and subtract the second.
... (2p +4t)/2 - (p +t) = (114)/2 - 34
... t = 23 . . . . . . . . . . . . . . . . . . . . . . simplify
Then p = 34 - t = 11
There are 11 pelicans and 23 turtles.
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You can get to the same answer by considering the number of legs you would have if all the animals were pelicans. That would be 34*2 = 68. The is 46 fewer legs than there actually are. Each turtle that replaces one of those 34 pelicans adds 2 legs to the total, so to add 46 legs, we must replace 46/2 = 23 pelicans with turtles. That is, there are 23 turtles and 11 pelicans.
So you have 3 and you want to get rid of 2 2/5. 3-2 is 1 1-2/5 is equal to three fifths, which is the answer.
The answer is c. Because all you need to know is to find the other leg and find the perimeter of the whole thing.
Answer:
k(-7) = = -89
Step-by-step explanation:
k(t) = 10t -19
Let t = -7
k(-7) = 10*-7 -19
= -70-19
= -89