Answer:
9/10 can be written as 9÷10
Step-by-step explanation:
which Will 0.9
Answer:
a) <em>"K" is proportional Constant K= 0.0833</em>
<em>b) The value of b = 99.639</em>
Step-by-step explanation:
<u><em>Explanation</em></u> :-
Given 'a' is directly proportional to 'b'
a ∝ b
<em> a = k b ....(i)</em>
<em>where "K" is proportional Constant</em>
<u><em>Case(i)</em></u><em>:-</em>
<em>when a =6 and b=72</em>
<em> a = k b </em>
<em> ⇒ 6 = k (72)</em>
<em> ⇒ </em>
<em> </em>
<u><em>Case(ii)</em></u><em>:- </em>
<em> Given a = 8.3 </em>
<em> a = k b </em>
<em>⇒ 8.3 = 0.0833 ×b</em>
<em>⇒ </em>
<em></em>
<u><em>Final answer</em></u><em>:-</em>
a)<em>"K" is proportional Constant K= 0.0833</em>
<em>b) The value of b = 99.639</em>
<em></em>
<em></em>
<em></em>
<em></em>
Answer:
55 degrees and 125 degrees
Step-by-step explanation:
Supplementary means that they add up to 180.
x + y = 180
Let's let x be the larger angle.
x = 15 + 2y
The above equation comes from the information given, that it's 15 more than twice the smaller angle.
Now let's use substitution.
x + y = 180
(15 + 2y) + y = 180
15 + 3y = 180
3y = 165
y = 55
The smaller angle is 55. Plug this back in to the first equation to get x.
x + y = 180
x + 55 = 180
x = 125
Now that you have both, test them again just to be sure that they fit the given conditions.
There appears to be a positive correlation between the number of hour spent studydng and the score on the test.
When identifying the independent and dependent quantities, we think about what would cause the other to change. The score on the test would not cause the number of hours spent studying to change; rather, the number of hours spent studying would cause the score to change. This means that the number of hours studying would be the independent quantity and the score would be the dependent quantity.
Plotting the graph with the time studying on the x-axis (independent) and the score on the y-axis (dependent) gives you the graph shown. You can see in the image that there seems to be a positive correlation; the data seem to generally be heading upward.
Answer:
y = 5x
Step-by-step explanation:
If each calendar, <em>x</em>, sells for $5 each, you would multiply 5·x because $5 is how much you earn per calender. Therefore, your total income would be 5 times the number of calendars you sell, or in equation "language", y = 5x