Answer:
5 hours
Step-by-step explanation:
Let's express each scenario as a function in a slope-intercept form, y = mx + b,
Where,
y = total amount of water
x = number of hours
m = rate of at which water is drained or filled per hour
b = initial quantity of water in the tank
✔️Equation for Tank A:
m = 2 gallons/hour = 2
b = 100 gallons = 100
Substitute m = 2 and b = 100 into y = mx + b:
y = 2x + 100
✔️Equation for Tank B:
m = 6 gallons/hour = -6 (this is negative 6 because water drains)
b = 140 gallons = 140
Substitute the values into y = mx + b
y = -6x + 140
✔️Set the two equation equal together to determine the number of hours (x) that must pass for the total amount of water (y) in tank A and tank B to be the same.
2x + 100 = -6x + 140
Collect like terms
2x + 6x = -100 + 140
8x = 40
Divide both sides by 8
x = 40/8
x = 5
Therefore, 5 hours must pass for the total amount of water in both tanks to be the same.
Step-by-step explanation:
<h2>
<em>Theoretical Probability Definition</em></h2>
<em>Theoretical probability is the theory behind probability. To find the probability of an event using theoretical probability, it is not required to conduct an experiment. Instead of that, we should know about the situation to find the probability of an event occurring. The theoretical probability is defined as the ratio of the number of favourable outcomes to the number of possible outcomes.</em>
<h3>
<em>Find </em><em>the </em><em>probability of rolling a 5 on a fair </em><em>di</em><em>e</em></h3>
<em>Solution:</em><em> </em>
<em>To find the probability of getting 5 while rolling a die, an experiment is not needed. We know that there are 6 possible outcomes when rolling a die. They are 1, 2, 3, 4, 5, 6.Therefore, the probability is,Probability of Event P(E) = No. of. Favourable outcomes/ No. of. Possible outcomes.P(E) = 1/6.Hence, the probability of getting 5 while rolling a fair die is 1/6.</em>
<em>I </em><em>hope </em><em>i</em><em>t</em><em> </em><em>helps</em>
I’m pretty sure it’s like y=-1/2x
You would divide b on both side so you can get x=-7/b
