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.
x = 50
The angles shown are vertically opposite and thus equal
so 3x - 30 = 2(x + 10)
3x - 30 = 2x +20
subtract 2x from both sides
3x - 2x - 30 = 20
x - 30 = 20
add 30 to both sides
x = 20 + 30 = 50
Answer:
26 miles per houre
Step-by-step explanation:
sow you put 450 amd 3.4 so you subtract but first you gat to put on the 45.0 -3.4 and then you git youre answred
Answer:
h = 10.92 m.
Step-by-step explanation:
The small triangle on the left is similar to the whole triangle, so:
12/20 = h/18.2
h = 12*18.2 / 20
h = 10.92 m.
