For first container
- Initial=500
- Decrease rate=-6
Equation
For second container
- Initial=200
- Increase rate=+6
Equation
Tine required for equal amount of liquid is x
- 6x+200=500-6x
- 12x=300
- x=300/12
- x=15min
Step-by-step explanation:
a) Give two pairs which are in the relation
and two pairs that are not.
As stated before, a pair
is equal mod m (written
) if
. Then:
- x=0 and y=4 is an example of a pair

- x=0 and y=1 is an example of a pair

b) Show the
is an equivalence relation.
An equivalence relation is a binary relation that is reflexive, symmetric and transitive.
By definition
is a binary relation. Observe that:
- Reflexive. We know that, for every m,
. Then, by definition,
. - Symmetry. It is clear that, given x,y and m such that
, then
. Therefore 
- Transitivity. Let x,y,z and m such that
and
. Then,
and
. Therefore:
.
In conclusion,
defines an equivalence relation.
C. the outlier will most likely be the answer to this question
Product= multiplication
s= a number
is= equal sign
3/4s= 3/5
divide both sides by 3/4
s= (3/5) / (3/4)
to divide fractions, multiply by the reciprocal/inverse of 3/4
s= 3/5 * 4/3
multiply numerators; multiply denominators
s= (3*4)/(5*3)
multiply within parentheses
s= 12/15
simplify by 3
s= 4/5
ANSWER: 4/5
Hope this helps! :)
Answer:
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