Answer:
8 years
Step-by-step explanation:
Let age of father be f
age of John be j
age of Alice be a
John's father is 5 times as old as John. We can write:
f = 5j
John is twice as old as Alice. We can write:
j = 2a
or
a = j/2
SUM OF ALL OF THEIR AGES (after 2 years) will be 58. We can write:
f+2 + j+2 + a+2 = 58
This becomes:
f + j + a + 6 = 58
f + j + a = 52
Now, we replace third equation with the first two (in bold) and get:

So John is 8 years old
Answer:
The equation of line is: 
Step-by-step explanation:
We need to find an equation of the line that passes through the points (-6, -2) and (-3, 2)?
The equation of line in slope-intercept form is: 
where m is slope and b is y-intercept.
We need to find slope and y-intercept.
Finding Slope
Slope can be found using formula: 
We have 
Putting values and finding slope

So, we get slope: 
Finding y-intercept
Using point (-6,-2) and slope
we can find y-intercept

So, we get y-intercept b= 6
Equation of required line
The equation of required line having slope
and y-intercept b = 6 is

Now transforming in fully reduced form:

So, the equation of line is: 
Answer:
F' corresponds to point F
Step-by-step explanation:
When a point is the result of some transformation, we often designate that result using the base name of the original, with a prime (') added. In this case, we expect that F' is the transformation of point F.
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<em>Comment on point naming</em>
Of course, points can be given any name you like. These conventions are adopted to aid in communication about transformations and correspondence between points. It would be unusual--even confusing, but not unreasonable, for point F' to correspond to point D, for example. In the case of certain transformations, point F' may actually <em>be</em> point D.
The rate of travel here is in mph - "miles per hour".
That just means how many miles you can travel in one hour. In this problem, you're given 15 hours, and the distance they travel within those 15 hours.
Therefore, you should divide both the number of miles and the number of hours by 15 to find out how far they can travel in 1 hour.
735 ÷ 15 = 49 miles
15 ÷ 15 = 1 hour
Their average rate of travel was 49 miles in 1 hour, which is 49 mph.