<span>Jerry is 8 years younger than Patricia, so:
(1): Jerry = Patricia - 8
Six years ago, Patricia was 3 times as old as Jerry was then, so:
(2): (Patricia - 6) = (Jerry - 6)*3
Putting equation 1 in to equation 2
(Patricia - 6) = (Patricia - 8 - 6)*3
Patricia - 6 = 3Patricia - 42
36 = 2Patricia
Patricia = 18
And so Jerry = 10</span>
Answer:
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Step-by-step explanation:
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Answer:

Step-by-step explanation:
If two values are inversely proportional, their product must be maintained. That way, if one value goes up, the other goes down by the same extent.
Therefore, if
and
vary inversely, their product will be the same for all values of
and
.
Let
and
as given in the problem. Substitute values:

Hence, the maintained product is
.
Thus, we have the following equation:

Substitute
to find the value of
when
:

Answer:
We are given the correlation between height and weight for adults is 0.40.
We need to find the proportion of the variability in weight that can be explained by the relationship with height.
We know that coefficient of determination or R-square measures the proportion or percent of variability in dependent variable that can be explained by the relationship with independent variable. There the coefficient of determination is given below:

Therefore, the 0.16 or 16% of the variability in weight can be explained by the relationship with height
Answer:
6(2a+4)-4(3a-4)= (12a+24) +(-12a+16) = 40