First you have to know how many pencils you could get with 1 dollar so divide 12 by 3 (thats 4 ) then, you do 4 times 4.50 (thats 18)
Answer:
The bird has to fly 7.5 m
Step-by-step explanation:
Please see diagram in attached image.
Notice that there is a right angle triangle that defines the situation, and you know two elements of such triangle;
1) one acute angle (
), and
2) the side opposite to that angle.
What you need to find is the side adjacent to the angle, which is what the bird needs to fly horizontally to be above the fish. We named that "x".
The trig function that relates such triangle elements is the tangent:

which rounded to the nearest tenth is: 7.5 m
Answer: 17 patients stayed for longer than 10 minutes.
Step-by-step explanation:
Let x represent the number of patients that stayed for longer than 10 minutes.
The doctor charges $21.80 for consultations that last less than 10 minutes and $27.50 for those that last longer than 10 minutes. Yesterday the doctor earned $1077.90. If 28 consultations lasted less than 10 minutes, it means that
28 × 21.80 + x × 27.50 = 1077.90
610.4 + 27.5x = 1077.9
27.5x = 1077.9 - 610.4
27.5x = 467.5
x = 467.5/27.5
x = 17
Answer:
D{(0, 0), (-1, -0.5), (-2, -1), (-3, -1.5), (-4, -2)}
Step-by-step explanation:
A function is a relation in which we take every element of the first group and assign an unique element of the second group.
So, the set of ordered pairs that represents y as a function of x is the set that take every value of x and assign an unique value of y.
Then, the set A is not a function because we have the ordered pairs (3,9) and (3,16) in which we have two values of y for the value of x=3.
At the same way, we can said that B and C aren't functions.
Finally, D is the set of ordered pairs that represents y as a function of x because every x has an unique value of y.