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.
Answer:
it is
possible
Step-by-step explanation:
<u>sum of the two shortest sides must be greater than the third side.</u>
so
4+7 < 9
11<9
condition satisfies ,
hence proved , we can draw
Answer:
The null hypothesis is 
The alternate hypothesis is 
Step-by-step explanation:
To investigate this further, the economist would like to test the claim that the percent of thirty-year fixed-rate mortgage loans that have a 4.75 percent interest rate is less than 22%.
At the null hypothesis, we test that the proportion is of 22%, that is:
At the alternate hypothesis, we test that the proportion is less than 22%, that is:
Answer: 8:12,8to12
Step-by-step explanation:
B because 10p means 10 × p
