The correct answer is C. 1.3
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:
x=110, y=50
Step-by-step explanation:
Draw a line perpendicular to the base CD from point A. The point of intersection is E. Angle AED=90 degrees. This is a right angle triangle. A triangle has a total angle of 180 degrees. Angle DAE is then 180-(90+70) = 20. The bases of a trapezoid are parallel to each other, making angle EAB a right angle. Add 90 + 20, and you'll get 110 degrees. This is the value of x.
Draw another line perpendicular to the base CD, this time from point B. The point of intersection is F. Angle ABF is 90 degrees. Angle FBC is 130-90=40. Angle BFC is also 90 degrees. You once again find the difference of the numbers from 180. 180-(40+90)=180-130=50. y=50 degrees.
Y=mx+b
B is the Y-Interecept
65 is the Y-Interecept
Answer:
7/5
Step-by-step explanation:
