Answer: 3|x| = 3x when x 
0 and 3|x| = -3x when x < 0
Step-by-step explanation: Absolute value basically refers to the distance of a point from the origin (zero), regardless of the direction. The absolute value of a number is represented by two vertical lines enclosing the number. For example, |6| = 6, or in this case, 3|x| = 3x. Here, the value is replaced by the term "x". "x" is used as a term for an unknown value/variable. so basically, we're solving for x kinda. Multiplying "x" (the unknown variable) by 3 gives us = 3x. We know from the sign that x <u>can't be below zero</u>, only <u>above or equal to</u>. So, 3lxl = 3x when x is above or equal to the origin (zero). We know from the second problem that x <u>can't be above zero </u>because of the sign <, only <u>below zero</u>. Because we can only go below zero, that positive 3 turns negative. Multiplying x by -3 gives us = -3x. So, 3|x| = -3x when x is blow the origin (zero).
Note: <u>the absolute value of a number is always positive</u>, but in this scenario this rule doesn't apply because "x" is not a number, only a unknown value.
Sorry in advance if my explanation still doesn't make sense. Math isn't my thing really.
First of all you subtract the 2.17 dollars:
41.25-2.17=39.08
Since the other 4 people got the same meal they all have to pay the same amount so you just divide 39.08 by 4:
39.08:4=9.77
Answer:
(D) 11: 00
Step-by-step explanation:
We have been given that Cassie leaves Escanaba at 8:30 AM heading for Marquette on her bike. Brian leaves Marquette at 9:00 AM heading for Escanaba on his bike.
This means that Cassie leaves 1/2 hour before Brian.
Since Cassie bikes at a uniform rate of 12 miles per hour, so distance covered in half hour would be half of 12 miles that is 6 miles.
Since total distance is 62 miles, so distance left between both at 9:00 Am would be 
.
We are told that Brian bikes at a uniform rate of 16 miles per hour and Cassie bikes at a uniform rate of 12 miles per hour, so distance traveled by both in one hour would be 
miles.
Let us divide 56 by 28 to find time taken to complete 56 miles.
.
Since it will take them 2 hours to cover 56 miles, therefore, they will meet 2 hours after 9:00 AM that is 11:00 AM.
Answer:
3/4 of the pot left.
Step-by-step explanation:
If the mom eats a 1/12 of the pot and then the brother also eats a 1/6 of the pot, then it is 9/12 left of pasta still. The reason for that is since 1/6 is equivalent to 2/12 so 1/12 plus 2/12 is 3/12, and if u subtract 3/12 from 12/12 it will give you 9/12 which can be simplified to 3/4 left of the pot.
