1st answer : 1116 - (6x19) /6
If the family buys 6 tickets and the travel insurance is $19 per ticket:
6 x $19 = $114
Take away the total cost from the insurance
$1,116 - $114 =$1,002
6 tickets cost $1,002
Divide $1,002 by 6
$1,002 / 6 = $167
2nd ANSWER::: each ticket costs $167
Answer:
B.
Step-by-step explanation:
The original equation is cos 64 = 32/k. To solve for k we need to isolate it. we can multiply by k then divide by cos 64. This gives us the equation k = 32/cos 64. Therefore, B is the right answer.
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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Sequence: 36, 31, 26, 21
Here, a = 36
d = 31 - 36 = -5
Recursive rule: a(n) = a(n-1) - 5
Hope this helps!
Answer:
A coordinate plane showing Falling Leaf, Time in seconds on the x-axis and Height in feet on the y-axis. A line is passing through (0, 12), (8, 10), and (16, 8).
Step-by-step explanation:
The y-intercept of the graph is the height of the leaf at the beginning, that is, 12 ft. This means that point (0, 12) is on the line.
The leaf falls to the ground at a rate of 0.25 feet per second, this means that after 8 seconds, the leaf travel 8*0.25 = 2 ft. Given that it started at 12 ft, its height is 12 - 2 = 10 ft. In other words, the point (8, 10) is on the line. Similarly, its height after 16 seconds is 12 - 16*0.25 = 8 ft, that is, the point (16, 8) is on the line.