Answer:
Tap A 3hrs
Tap B 6hrs
Step-by-step explanation:
Let the volume of the swimming pool be Xm^3.
Now, to get the appropriate volume, we know we need to multiply the rate by the time. Let the rate of the taps be R1 and R2 respectively, while the time taken to fill the swimming pool be Ta and Tb respectively.
x/Ta= Ra
x/Tb= Rb
X/(Ra + Rb)= 2
Ta = Tb - 3
From equation 2:
X = 2( Ra + Rb)
Substituting the values of Ra and Rb Using the first set of equations
X = 2( x/Ta + x/Tb)
But Ta = Tb - 3
1/2 = 1/(Tb - 3)+ 1/Tb
0.5 = (Tb + Tb-3)/Tb(Tb - 3)
At this juncture let’s say Tb = y
0.5 = (2y - 3)/y(y - 3)
y(y-3 ) = 4y - 6
y^2 -3y - 4y + 6 = 0
y^2 -7y + 6= 0
Solving the quadratic equation, we get y =
y = Tb = 6hrs or 1hr
We remove one hour as we know that Tap A takes 3hrs left than tap B and there is nothing like negative hours
Now, we get Ta by Tb -3 = 6 - 3 = 3hrs
Function 1
rate of change = (80-100)/(2-1) = -20
y = -20x + 120
function 2
y = -18x + 120
rate of change = -18
answer
function 2 shows a greater rate of change
A rhombus is a parallelogram with four equal sides and two sets of equal angles.
If the m<1=160°, then the angle opposite (3) would also be 160°.
m<3=160°.
Becuase it is a parallelogram, the sum of the measurment of two angles that share a line would be 180 (supplementary).
m<2 and m<4 is 20°.
Answer:
d = x + 90
Step-by-step explanation:
Total dollars to be paid by Mr. Sykes = Rent for the boat for 3 hours + cost of damage
= 90 + x
Because $385 for two years is 385+385=770
Twice a month for two years=24x2=48
So 770/48=$16.04
Final answer $16.04
