Answer:
16 weeks
Step-by-step explanation:
Assuming that each month is around 4 weeks, multiply that number by 4 months and you will get 16 weeks in total.
There are at least two different things that could go in
the blank spot and make the equation a true statement.
It could be " - 2 " .
It could be " · 4/3 " .
It could be " + 2 cos(π) "
etc.
Answer:
B) x = +/- 17
Step-by-step explanation:
Answer:
1350m
Step-by-step explanation:
Let the distance ran by Denise, Farah and Elaine be D, F and E meters respectively.
From the given information,
D= ⅔(E +F) -----(1)
E= ½(D +F) -----(2)
Let's get rid of the fraction so the equations are much easier to work with.
From (1):
3D= 2(E +F) <em>(Multiply both sides by 3)</em>
3D= 2E +2F -----(3) <em>(</em><em>Expand</em><em>)</em>
From (2):
2E= D +F -----(4)
Substitute (4) into (3):
3D= D +F +2F
3D -D= 3F
2D= 3F
Given that Farah ran 360m, F= 360.
2D= 3(360)
2D= 1080
D= 1080 ÷2
D= 540
2E= D +F
2E= 540 +360
2E= 900
E= 900 ÷2
E= 450
Total distance the 3 girls ran
= D +F +E
= 540 +360 +450
= 1350m
Alternatively, you could start by substituting F= 360 to equations (1) and (2).
We first find the shortest distance between the point (2, 0) and the curve
Let the point on the curve for which the line making the shortest distance be (x, y), then
But,
Therefore,
For minimum d(d)/dx = 0
Therefore, shortest distance is
Since it costs 400 dollars per mile, 4.47 miles will cost 4.47 x 400 = $1,788.20
