Answer: It will take the largest pipe 5.5 hours to fill the swimming pool alone.
It will take the smallest pipe 16.5 hrs to fill the swimming pool alone.
It will take the other pipe 11 hours to fill the pool alone.
Step-by-step explanation: let time needed to fill the swimming pool by the largest pipe be x ... eq (1)
Let time needed to fill the swimming pool by the smallest pipe be 3x ... eq(2)
Let time needed to fill the swimming pool by the other pipe be 2x ...eq(3)
The job to be done (to fill a swimming pool) be 3/x +3/3x+3/2x=1 ... eq(4)
Multiply 6x on both sides you will get:
6(3)+2(3)+3(3)=6x
18+6+9=6x
33=6x
33/6=x
X=5.5hours
Substitute x=5.5 into EQ 2 and 3
3x=3×5.5=16.5hours
2x=2×5.5=11hours
Check: substitute the value of x into eq3/5.5+3/16.5+3/11
0.545+0.182+0.273=0.9997=1
Answer:
210 squared
Step-by-step explanation:
A because the table doesn’t have a constant rate of change
Answer:
Terrance is incorect.
Correct output coordinates (-y,-x)
Step-by-step explanation:
Let
be the input coordinates.
First translation is a rotation of 180° clockwise about the origin. This translation has a rule

Second translation is a reflection over the line y = x. The general rule for the reflection across the line y=x has the rule

When a sequence of two translations are applied to the initial input coordinates, then

As you can see Terrance made a mistake and these two transformations do not cancel themselves out.