Answer :
Answer:
-36m + 900 < 44m + 100
Step-by-step explanation:
Given that:
The first barrel contains 900 liters of the solution; &
The second barrel contains 100 liters of solution.
So, Laura drains the first barrel at the rate of 36 liters/ min
Since Laura is draining the solution in the first barrel;
Then; we have - 36m + 900 litres
Also; Laura fills the second barrel at a rate of 44 liters per minute.
Since Laura is filling the barrel; we have: 44m + 100
Therefore; the inequality representing when the second barrel contains a greater or equal amount of solution than the first barrel can be expressed as:
- 36m + 900 < 44m + 100
Final answer:
The question can be represented by the inequality m ≥ 10, meaning Laura will need at least 10 minutes for the second barrel to contain a greater or equal amount of solution than the first barrel.
Explanation:
The subject of this question is Mathematics. The question describes two situations involving the amounts of solution in two barrels. The first barrel is being drained, which means the total amount is decreasing by 36 liters per minute. This can be represented mathematically as (900 - 36m). The second barrel is being filled, increasing by 44 liters per minute from an initial amount of 100 liters. This can be represented as (100 + 44m).
The question wants to find the time (or 'm') when the second barrel contains a greater or equal amount than the first barrel. That is, when (100 + 44m) ≥ (900 - 36m). This inequality can be solved by combining like terms to get 80m ≥ 800 and then dividing both sides by 80 to solve for m.
This leads to the final inequality, m ≥ 10. Thus, Laura will need 10 minutes or more for the second barrel to contain a greater or equal amount of solution than the first barrel.
Learn more about Inequality here:
https://brainly.com/question/32625151
#SPJ3
