How many suitcases averaging 25 pounds apiece can be loaded onto a plane that can hold a maximum of 1,750 pounds of storage? How would you write an inequality expressing this situation? Use s for the weight of one suitcase, and include it on the left side of the inequality. Do not solve the inequality.(1 point)
The inequality expressing this situation would be:
s * x ≤ 1,750
where s is the weight of one suitcase, x is the number of suitcases, and 1,750 is the maximum weight the plane can hold.
To find the maximum number of suitcases, we would need to solve for x by dividing both sides of the inequality by s:
x ≤ 1,750 / s
This means that the maximum number of suitcases that can be loaded onto the plane is 1,750 divided by the average weight of one suitcase.
you start a search for a buried object by marking the center of the field as (0, 0), with coordinates giving distances in yards. coordinates to the north or east are positive and coordinates to the south or west are negative. you find nothing at (-12, 8), so you try a likely-looking spot 3 yards to the east and 11 yards to the south of the first spot. what are the coordinates of the second spot?
Starting at the point (-12, 8), moving 3 yards to the east would add 3 to the x-coordinate, and moving 11 yards south would subtract 11 from the y-coordinate. Therefore, the coordinates of the second spot would be:
(-12 + 3, 8 - 11)
Simplifying:
(-9, -3)
So the second spot has coordinates (-9, -3) in yards.
To solve this problem and write the inequality, we need to find the maximum number of suitcases that can be loaded on the plane.
Let's represent the weight of one suitcase as 's' (25 pounds in this case), and the maximum weight the plane can hold as '1,750'.
To find the maximum number of suitcases, we divide the maximum weight of the plane by the weight of one suitcase:
\(\text{Maximum number of suitcases} = \frac{\text{Maximum weight of the plane}}{\text{Weight of one suitcase}}\)
So, the inequality representing this situation is:
\(s \times \text{maximum number of suitcases} \leq \text{maximum weight of the plane}\)
Substituting the values, the inequality becomes:
\(25 \times \text{maximum number of suitcases} \leq 1750\)