Answer:
Here, K represents the current age of Katie and T represents the current age of Thomas.
(a)
As per the statement:
Katie is currently twice the age of Thomas.
⇒
......[1]
It is also given that in 6 years Katie will be 4 times Thomas's current age.


Subtract 6 from both sides we get;
......[2]
A system of equations that describe the situation is:


(b)
To find the solution:
equate [1] and [2] we have;

Subtract 2T from both sides we have;

Add 6 to both sides we get;

Divide both sides by 2 we have;
T = 3 years
Substitute this in equation [1] we get;
K = 2(3) = 6 years.
Therefore, the current age of Katie and Thomas are 6 years and 3 years.
Answer:
I think the answer is 7.5, because of this equation: 2x-5=10
There are 72 passengers in total and 35 are men and women as one category.
The number of children are 72 - 35 = 37

So the success is 37 (number of children. And the total number of people is 72.
The probability of a child being asked is 37/72.
The answer is. D. (-6,7)
To solve the exercise you should be aware that you should primarily locate the location of park on the abscissa-x_axis ( West - East. ) followed by locating the latter on the ordinate- Y_axis (South - North). So first u start by drawing a line perpendicular ( makes a 90 degrees ) to the X_axis to find that it cuts it in a point of coordinates (-6,0) and then do the same on the Y_axis to find that it cuts it in a point of coordinates (0,7). Thus you conclude that the park is found on (-6,7) count 6 boxes to the left-west and then 7 upwards- north.
Answer:

Step-by-step explanation:
For
, we have two cases:

Therefore, for
, we have the following cases:

Solving, we have:
.
Therefore,
