Answer:
503 $1 tickets sold.
Step-by-step explanation:
Use two equations
Let x = number of $1 tickets sold
Let y = number of $1.50 tickets sold
x + y = 739
1x + (1.5)y = 857
First equation ==> y = 739 - x
Plug this into the second equation
x + (1.5)(739 - x) = 857
x + 1108.5 - 1.5x = 857
- 0.5x = -251.5
x = 503
There were 503 $1 tickets sold.
To find the number of $1.50 tickets, just plug this value of x into either one of the equations.
(503) + y = 739 (739 - 503 = 236)
y = 236
There were 236 $1.50 tickets sold.
So you just need to use the crocodile signs < or >
As j is less than 113 we put j on the smaller side and 113 on the bigger side to make:
j<113
Answer:
40
Step-by-step explanation:
Given:
Initial number of members = 600
Percentage of women = 
Now, members added = 200
So, total number of members after addition = 600 + 200 = 800
Percentage of women out of 800 members = 
Increase in women = New number of women - Old number of women
Therefore, increase in women = 400 - 360 = 40
So, 40 women are there in the 200 new members that joined the club.
Answer:
see explanation
Step-by-step explanation:
(3)
Parallel lines have equal slopes
the equation of a line in sloipe- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y =
x + 5 ⇒ m = 
y = 4x + 5 ⇒ m = 4
y = - 4x + 5 ⇒ m = - 4
y = - 4x - 9 ⇒ m = - 4
the 3rd and 4th options have equal slopes and are parallel
(4)
given a line with slope m then the slope of a line perpendicular to it is
= - 
y =
x + 4 ⇒ m = 
y = -
x + 5 ⇒ m = - 
y =
x + 3 ⇒ m = 
y = 6x + 3 ⇒ m = 6
note that a slope of m = 6 , has a perpendicular slope of
= - 
the 2nd and 4th lines are perpendicular