Answer:
x < 3
Step-by-step explanation:
x + 9 < 12
Subtract 9 from both sides;
x < 3
Answer:
<em>4(y+2) = 3(x+4) and 4y - 3x = 4</em>
Step-by-step explanation:
The equation of the line in point slope form is expressed as;
y - y0 = m(x-x0)
m is the slope
(x0, y0) is the point on the line
Given the equation 3x - 4y = 7
Rewrite in slope intercept form
-4y = -3x+7
y = 3/4 x - 7/4
Slope = 3/4
Slope of the required line will also be 3/4 since they are parallel lines
Substitute the slope and the point into the equation above;
y - y0 = m(x-x0)
y +2 = 3/4 (x+4)
4(y+2) = 3(x+4)
4y + 8 = 3x+12
4y - 3x = 12-8
4y - 3x = 4
<em>Hence the required equations are 4(y+2) = 3(x+4) and 4y - 3x = 4</em>
Answer:
675 total attendees at the conference.
Step-by-step explanation:
Let x represent total attendees at the conference.
We have been given that at a conference the organizer determined at 32% of the attendees were between the ages of 18 and 29. There were 216 attendees in this age range. We are supposed to find the total attendees at the conference.
To find the number of total attendees at the conference, we will set as equation where 32% of x is equal to 216.




Therefore, there were 675 total attendees at the conference.
Given parameters:
Percent formula;
A = PB
P is the percentage
B is the quantity
From the expression,
A is the unknown
P = 4%
B = 600
Now input the known parameters and solve;
A =
x 600
A = 4 x 6 = 24
So, 4% of 600 is 24