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.
Answer:
Y is greater than or equal to 1/2x + 20
Y is less than or equal to 2/3x + 80
X is greater than or equal to 1200
X is less than or equal to 1850
Step-by-step explanation:
trust
Depth of Hank descends = The point he reached - the point where he worked initially
= 57 - 10
= 47 ft
Hence, Hank descends 47 ft.
18 ft* (1 piece/ 1 1/3 ft)= 13.5 pieces.
Mr. Gengel can only cut 13 pieces from the big board (because we don't have half a piece)~