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Jonael dropped a sandbag from a hot air balloon at a target that is 250 meters below the balloon. At this moment, the sandbag is 75 meters below the balloon.
Which 2 of the following expressions represents the distance between the sandbag and the target?
Choose 2 answers:
A 
|-250+75|
B 
|250+75|
C 
|-75+250|

Jonael dropped a sandbag from a hot air balloon at a target that is 250250 meters below the balloon. At this moment, the sandbag is 7575 meters below the balloon.\newlineWhich 22 of the following expressions represents the distance between the sandbag and the target?\newlineChoose 22 answers:\newline(A) 250+75|-250+75|\newline(B) 250+75|250+75|\newline(C) 75+250|-75+250|

Full solution

Q. Jonael dropped a sandbag from a hot air balloon at a target that is 250250 meters below the balloon. At this moment, the sandbag is 7575 meters below the balloon.\newlineWhich 22 of the following expressions represents the distance between the sandbag and the target?\newlineChoose 22 answers:\newline(A) 250+75|-250+75|\newline(B) 250+75|250+75|\newline(C) 75+250|-75+250|
  1. Understand the problem: Understand the problem.\newlineWe need to find the expressions that represent the distance between the sandbag and the target. The sandbag is currently 7575 meters below the balloon, and the target is 250250 meters below the balloon.
  2. Determine the distance: Determine the distance between the sandbag and the target.\newlineThe distance from the sandbag to the target is the difference between the distance from the balloon to the target and the distance from the balloon to the sandbag.\newlineDistance == Distance from balloon to target - Distance from balloon to sandbag\newlineDistance == 250250 meters - 7575 meters\newlineDistance == 175175 meters
  3. Express using absolute value: Express the distance using absolute value notation.\newlineSince distance is always positive, we can use absolute value notation to ensure the expression is non-negative. We need to find two expressions that correctly calculate the distance as 175175 meters.
  4. Evaluate given options: Evaluate the given options.\newlineOption A: 250+75=175=175|-250 + 75| = |-175| = 175 meters\newlineOption B: 250+75=325=325|250 + 75| = |325| = 325 meters (This is not the correct distance)\newlineOption C: 75+250=175=175|-75 + 250| = |175| = 175 meters
  5. Choose correct expressions: Choose the correct expressions.\newlineThe correct expressions that represent the distance between the sandbag and the target are those that equal 175175 meters. From our evaluation in Step 44, we see that Options A and C are correct.

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