Answer:
Ruth is x+4=7/3+4, esmerelda is 5x+4=35/3+4
Step-by-step explanation:
if Ruth is x, esmerelda is 5x,
four years ago,
Ruth is x+4, esmerelda is 5x+4, depend on the sum, we get:
x+4+5x+4=22, x=7/3
so:
Ruth is x+4=7/3+4, esmerelda is 5x+4=35/3+4
Answer:
0.6535
Step-by-step explanation:
Given that during a one-hour period twenty-five customers buy gasoline at this station.
Let X be the no of persons out of these 25 who pay by cash.
X has two outcomes and each trial is independent of other.
Hence X is binomial (n=25, p=0.40)
Required probability
= 
=0.6535
<u>(Note: this answer is assuming that the equation has to be put in slope-intercept format.)</u>
Answer:

Step-by-step explanation:
1) Let's use the point-slope formula to determine what the answer would be. To do that though, we would need two things: the slope and a point that the equation would cross through. We already have the point it would cross through, (-3,-4), based on the given information. So, in the next step, let's find the slope.
2) We know that the slope has to be parallel to the given line,
. Remember that slopes that are parallel have the same slope - so, let's simply take the slope from the given equation. Since it's already in slope-intercept form, we know that the slope then must be
.
3) Finally, let's put the slope we found and the x and y values from (-3, -4) into the point-slope formula and solve:

Therefore,
is our answer. If you have any questions, please do not hesitate to ask!
Differences:
point slope form of line:
(a) equation is 
where m is slope and (x1,y1) is a point
(b)This equation of line can be determined when two points are given
(x1, y1) and (x2,y2)
slope intercept form of line:
(a) equation is 
where m is a slope
b is y-intercept
(b)This equation of line can be determined when y-intercept and slope are given
Similarilties:
(a) both are equation of straight line
(b) slope is always constant in both
Answer:
(4a - 3)(2x - 3)
Step-by-step explanation: