Answer:
After 7 minutes both the tanks will have the same amount of water.
Step-by-step explanation:
The water is filling in a tank at the rate of 75 L/mins from an initial 550 L of water and water is removing from another tank at the same rate from the initial 1600 L of water.
Let us assume that the same amount of water will be there in both the tanks after t minutes.
Therefore, 550 + 75t = 1600 - 75t
⇒ 150t = 1050
⇒ t = 7
Therefore, after 7 minutes both the tanks will have the same amount of water. (Answer)
You could simulate this by allowing the numbers 1-4 to represent a correct answer and the numbers 5-6 to represent an incorrect answer. This would have a 2/3 probability of the question in the simulation being correct.
For f(x), when x=1, y=1, and when x=2, y=4. Since the graphs are both quadratic, you can assume f(x)=x².
For g(x), when x=2, y=1, and when x=4, y=4. So g(x)=(x²)÷4.
Now it's a given that g(x) is equivalent to f(k*x), so we can say
(x²)/4=(kx)²
4kx²=x²
k=1/4
The expressions that can be used to calculate both numbers of hours Demetrius works in 5-day work week is 5(x + 1) and 5x + 5
We are being told that Latisha works x hours each day and Demetrius works 1 more hour each day than Latisha.
So,
- Let the amount of works done by Latisha be = x
- Then, the amount of works done by Demetrius will be = x + 1
Thus, the both expression that can determine the number of hours Demetrius works in five days is:
= 5(x + 1) and 5x + 5
This is because if we open the bracket from 5(x+1) and multiply each term in the bracket with 5, we end up having 5x + 5.
- 5 times open paren x plus 1 close paren and 5 x plus 5 is correct.
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