Answer:
Therefore, Miranda can register for at most 3 courses.
Explanation:
If x is the number of courses in which Miranda register, the total cost for her tuition will be:
45 + 450x
Because there is a fixed cost of $45 and a cost per course of $450.
Then, this cost should be less than or equal to $1500, so we can write the following inequality:
45 + 450x ≤ 1500
Now, we can solve the inequality for x. Subtract 45 from both sides:
45 + 450x - 45 ≤ 1500 - 45
450x ≤ 1455
Divide both sides by 450:
450x/450 ≤ 1455/450
x ≤ 3.23
Therefore, Miranda can register for at most 3 courses.
9514 1404 393
Answer:
70° and 110°
Step-by-step explanation:
The sum of angles is 180°; their difference is 40°. So, the larger is ...
(180° +40°)/2 = 110°
The smaller is 180° -110° = 70°
The two angles are 70° and 110°.
_____
Above, we have "cut to the chase." If you let the larger be 'a' and 's' and 'd' represent the sum and difference, you have ...
a + (a-d) = s . . . . the sum of the larger and smaller angles
2a = s+d . . . . . . add d
a = (s+d)/2 . . . . the relation we used.
1/3 for the first one, and 3/4 for the second one :)
It
Wold be Yeas Bc fnfnfjzmmxmm ended dndnnsn was the best year to come pick ya girl up and get ready to get it gurl is a great night
The proportionality constant of the given graph is k = 16.
<h3>How to find the proportionality constant of a graph?</h3>
The proportionality constant of a graph is the ratio of the y-coordinates to the x-coordinates.
Thus, it is written as k = y1/x1 = x2/y2 = ... = yn/xn
<h3>Calculation:</h3>
The given graph has the coordinates as
x = 0; y = 0 i.e., (0, 0)
x = 0.5; y = 8 i.e., (0.5, 8)
x = 1; y = 16 i.e., (1, 16)
x = 1.5; y = 24 i.e., (1.5, 24)
and so on.
Then, the ratio of y - coordinate to the x - coordinate is
k = 8/0.5 = 16
or
k = 16/1 = 16
or
k = 24/1.5 = 16
and so on.
So, the proportionality constant for the given graph is k = 16.
Learn more about the proportionality constant here:
brainly.com/question/1835116
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