Alright, so we have tickets for 8 dollars. The number of tickets can represent x, and the money totaled is 8x. x=16+17+13=46, so we can substitute that in to get 8*46 for the total revenue=368 dollars
the second duckling is wandering by 2.6 units distance than the first duckling .
<u>Step-by-step explanation:</u>
Here we have , Two ducklings wander away from the nest while their mother is away. The first duckling's displacement (distance and direction) from the nest is (12,5) The second duckling's displacement is (13,-8) . We need to find How much farther did the second duckling wander than the first duckling. Let's find out:
Let a = (12,5) and b =(13,-8)
The distance each duckling wandered is the magnitude of its displacement vector. Therefore, the expression Distance second duck wandered is given by :
⇒ ![D = |b|-|a|](https://tex.z-dn.net/?f=D%20%20%3D%20%7Cb%7C-%7Ca%7C)
⇒ ![D = \sqrt{13^2+(-8)^2} -\sqrt{12^2+5^2}](https://tex.z-dn.net/?f=D%20%20%3D%20%5Csqrt%7B13%5E2%2B%28-8%29%5E2%7D%20-%5Csqrt%7B12%5E2%2B5%5E2%7D)
⇒ ![D = \sqrt{233} -\sqrt{169}](https://tex.z-dn.net/?f=D%20%20%3D%20%5Csqrt%7B233%7D%20-%5Csqrt%7B169%7D)
⇒ ![D =15.26 -13](https://tex.z-dn.net/?f=D%20%20%3D15.26%20-13)
⇒ ![D =2.6](https://tex.z-dn.net/?f=D%20%20%3D2.6)
Therefore , the second duckling is wandering by 2.6 units distance than the first duckling .
-3 x + 1 > y
1/2x -1 (less than or equal to) y
See photo
Answer: B
just make the included side equal