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.
True, because the standard deviation describes how far, on average, each observation is from the typical value. A larger standard deviation means that observations are more distant from the typical value, and therefore, more dispersed.
Answer:
b. 160°
Step-by-step explanation:
angle A = (far arc - near arc)/2
far arc is arc BC and near arc is arc BE. Replacing into the equation:
∠A = (arc BC - arc BE)/2
50 = [4x + 20 - (2x - 10)]/2
50*2 = 2x + 30
x = (100 - 30)/2
x = 35°
Replacing this information into arc BC equation:
arc BC = 4(35) + 20 = 160°
2a−3=7
Add 3 to both sides.
2a−3+3=7+3
2a=10
Divide both sides by 2.
2a / 2 = 10 / 2
a=5
