Answer:
The system of inequalities is
Step-by-step explanation:
step 1
Find the equation of the dashed line with negative slope
The line passes through the points
(0,-2) and (-2,0)
Find the slope
Find the equation of the line in slope intercept form
we have
substitute
The solution of the inequality is the shaded area below the dashed line
therefore
The equation of the inequality A is
step 2
Find the equation of the dashed line with positive slope
The line passes through the points
(0,0) and (4,1)
Find the slope
Find the equation of the line (direct variation)
we have
substitute
The solution of the inequality is the shaded area above the dashed line
therefore
The equation of the inequality B is
therefore
The system of inequalities is
For this case we have that by definition, the slope of a line is given by:
Two points are needed through which the line passes:
Substituting:
Rounding:
Answer:
60 children tickets and 190 adult tickets were sold.
Step-by-step explanation:
Let the no. of adult tickets sold be 'a'
Let the no. of children tickets sold be 'c'
Total tickets sold = 250
Cost of 1 children ticket = $2.5
Cost of 1 adult ticket = $4
Total money collected= $910
Given that,
a + c = 250
a = 250 - c
4a + 2.5c = 910
Substitute a value
4(250 - c) + 2.5c = 910
1000 - 4c + 2.5c = 910
1000 - 1.5c = 910
-1. 5c = -90
1.5c = 90
c = 90/1.5
c = 60
a + c = 250
a + 60 = 250
a = 190
Use PEMDAS. 20/(4*5)=1
Multiplication before dividion
x = 3.
Plug in 3 for x in the equation
14(3) + 64
Remember to follow PEMDAS. First, multiply 3 with 14
3 x 14 = 42
Finally, add 64
42 + 64 = 106
106 is your answer
hope this helps
