If 5x - 17 ≥ 0, then |5x - 17| = 5x - 17 and the equation reduces to
-8 - 2 (5x - 17) = -14
-8 - 10x + 34 = -14
-10x = -40
x = 4
If 5x - 17 < 0, then |5x - 17| = -(5x - 17) = -5x + 17 and we have
-8 - 2 (-5x + 17) = -14
-8 + 10x - 34 = -14
10x = 28
x = 2.8
For
|a|<b
assume
-b<a<b
so
add 5 to both side
|-2-8x|<66
assume
-66<-2-8x<66
add 2 to both sides
-64<-8x<68
divide everyboy by -8, don't forget to flip sign
8>x>-8.5
-8.5<x<8
the solution is all numbers between -8.5 and 8, not including -8.5 and 8
in interval notation: (-8.5,8)
or
S={x|-8.5<x<8}
Let x be the number of members in Daniel's tennis team.
The amount made = $582.85
Expenses (food and drinks) = $64
Balance remaining for sharing = 582.85 - 64 = $518.85
Amount received by each player = (amount made - Expenses) / Number of members = 518.85/x
Answer: 18- Hope this helps :)
(re-do with explanation)
Step-by-step explanation: The volume formula for a triangular prism is (height x base x length) / 2
All you must do is calculate it which is 4 x 3 x 3 = 36 and than you divide it by half and you get your answer- 18
Hi there! The answer is about 23%
First we need to find the total amount of buttered popcorn sold. This is 182 + 140 + 97 = 419 buckets.
To find the percentage of the buttered popcorn buckets that were large, we use the following formula:

Filling in this formula brings us to our answer:

Hence, the answer is about 23%