We consider all workers as either full-time or part-time.
36 = 24 + 12
If there are 24 or fewer full-time workers, there must be at least 12 part-time workers. (This conclusion is based on the understanding of sums.)
You can formulate the inequality in two steps. First, present and resolve an equation for full-time workers in relation to part-time workers. Then, apply the specified limit on full-time workers. This results in an inequality that can be solved for part-time workers.
Let f and p represent full-time and part-time positions, respectively.
f + p = 36... given
f = 36 - p... subtract p to express f in terms of p.
f ≤ 24......... given
(36 - p) ≤ 24.... substitute for f. This gives your inequality in terms of p.
36 - 24 ≤ p.... rearranging gives p ≥ 12........ this is the solution to the inequality
Solution:
Let x be the distance in miles from the house to the theater.
Total time taken for the trip 
Then average speed 
Terrence walks at a speed of 2 miles per hour to the theater and returns home at 40 miles per hour.
Thus, Average Speed 
mi/hr
Both average speeds must be equivalent. Hence, we can express this as:
Consequently, the distance from home is 13.125 miles.
Answer:
Step-by-step explanation:
To obtain a line parallel to the equation 3x − 4y = 7, any equivalent line will share the same format but differ by a constant value.
If the new line is intended to go through the point (-4, -2), substitute x with -4 and y with -2. This leads to:
3(-4) − 4(-2) = -12 + 8 = -4. Thus, the new required equation would be 3x − 4y = -4.
It can also be expressed as 3x − 4y + 4 = 0. Additionally, if we solve for y, we get:
3x + 4 = 4y, leading to y = (3/4)x + 1.
