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To find the total of what you sold for each package, you'll need to write two equations. Know that x = paper plate packages and y = utensil packages.
First, x + y = 15 shows that there has to be fifteen packages, and 8x + 5y = 90 shows the $ made from selling a certain number of packages.
Next, you can solve by substitution, so change x + y = 15 to y = 15 - x.
To find our x, substitute the y in 8x + 5y = 90 to get
8x + 5(15 - x) = 90
Distribute: 8x + 75 - 5x = 90
Combine the X's and subtract the 75: 3x = 15
Divide the 3: x = 5
Now with our x, we can put 5 into the original equation x + y = 15 to get 5 + y = 15. Subtracting the 5, we get y = 10.
So, you have delivered 5 paper plate packages and 10 utensil packages.
The difference from distance and displacement is <u>the direction</u>
<h3>Further explanation</h3>
Distance is a scalar quantity that indicates the length of the trajectory that is traveled by an object within a certain interval. Distance has no direction, only has magnitude
Can be simplified distance = total meters traveled
displacement is a vector quantity that shows changes in the position of objects in a certain interval of time. Displacement has magnitude and direction
Can be simplified displacement = distanced traveled from starting point to ending point
Some examples of distanced and displacement
1. first move: move 4 meters north
second move: move 2 meters south
Distanced: 6 meters
Displacement: 2 meters north
2. first move: move 2 meters east
second move: move 4 meters west
Distanced: 6 meters
Displacement: 2 meters west
etc
<h3>Learn more</h3>
uniformly accelerated motion
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Keywords: distance and displacement lab activity
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