Answer:
The constant of proportionality is 6
Step-by-step explanation:
Recall the equation for direct variation is 
where 
varies directly with 
and 
is the constant of proportionality. If we take any listed coordinate point, we can determine the value of . I will use (20,120) as an example:
Therefore, the constant of proportionality is 6
<h3>
Answer: B. 40</h3>
For any triangle, the three angles always add to 180
(y+10)+(2y)+(50) = 180
3y+60 = 180 ... combine like terms
3y+60-60 = 180-60 ... subtract 60 from both sides
3y = 120
3y/3 = 120/3 .... divide both sides by 3
y = 40
You have to divide 95 by 5.
95/5= 19
Therefore, 1/5 of the children is 19.
As you're looking for 3/5, you have to multiply 19 by 3
19*3= 57
Therefore, 57 of the students went to holiday parties
Total tickets: 7
Popcorn costs: $5
total cost: $54
7x + 5 = 54
- 5 -5
7x = 49
49/7 = 7
Final Answer: x=7
Answer:
Option C) 
is the slope
Step-by-step explanation:
We are given the following in the question:
The estimated regression equation is:
where 
is the dependent variable and need to be predicted and x is the independent variable and is the predictor.
If we compare this regression equation to slope intercept form of straight line,
Here, m is the slope if the line and c is the y-intercept hat is the value of y when x is zero.
Comparing the regression equation to the slope intercept form, we get,
Slope, m =
Intercept, c =
Thus, the correct answer is:
Option C) is the slope
