Answer:
The speed of the boat is 20 km/hr
Step-by-step explanation:
Let s be the speed of boat in still water
Let d be the distance
Upstream speed = s-4
Jane took 30 min to drive her boat upstream to water-ski at her favorite spot.
So, Distance traveled in upstream =
Downstream speed = s+4
So, Distance traveled in downstream = 
So, 
30s-120=20s+80
10s=200
s=20
Hence The speed of the boat is 20 km/hr
The solutions to the given inequalities are x < 6 OR x < -10
<h3>Linear Inequalities </h3>
From the question, we are to solve the given inequalities
The given inequalities are
6x - 4(2x - 5) > 8 or 5x + 9 < 2x - 21
First solve,
6x - 4(2x - 5) > 8
Clear the bracket
6x -8x + 20 > 8
6x - 8x > 8 - 20
-2x > -12
Divide both sides by -2 and flip the sign,
That is,
-2x/-2 > -12/-2
x < 6
For,
5x + 9 < 2x - 21
Subtract 2x from both sides
5x - 2x + 9 < 2x - 2x -21
3x < -21 -9
3x < -30
Divide both sides by 3
3x/3 < -30/3
x < -10
Hence, the solutions to the given inequalities are x < 6 OR x < -10
Learn more on Inequalities here: brainly.com/question/246993
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Answer:
2.)-7, -5, -1, 0
3.) -12, 0, 13, 14, 16, 17
5.) 5
Step-by-step explanation:
Answer:
a₆ = 13x + 31
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
Here a₁ = 3x + 1 and d = 2x + 6 , then
a₆ = 3x + 1 + 5(2x + 6)
= 3x + 1 + 10x + 30
= 13x + 31
