A cold water pipe can fill a swimming pool in 4 hours, and a hot water pipe in 6 hours. If cold water pipe is turned on and hot
2 answers:
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Answer:
Step-by-step explanation:
(A)The given equations are:
and
Taking the ordered pair (3,0),
and
which is satisfied. Thus, option A (3,0) is correct.
(B) The two equations are:
and
Adding both the equations, we get
Therefore, substituting the value of x in any of the two given equations,
Hence, x=3 and y=6
(C) Let "b" represents Becky's score and "C" be Cathy's score.
Then, According to the question, we get
and
Thus, Option B is correct.
(D) The given equations are:
and
Now, substituting the value of x=y+5 in the equation, we get
Thus, option C is correct.
Answer: 1) Product property of logarithm,
2) Subtraction property of logarithm
3) Equality property of logarithm
Step-by-step explanation:
By the Product property of logarithm,
log a + log b = log(a.b)
And, By the Subtraction property of logarithm
log a - log b = log(a/b)
Also, by the equality property of logarithm,
log(a) = log(b) ⇒ a = b
Given expression,
(Product property of logarithm)
(Subtraction property of logarithm)
( Equality property of logarithm )
( Multiplicative property of equality )
( Distributive property of equality )
(subtraction property of equality )
(division property of equality )
