At a coffee shop, Polly can choose to earn $12 per hour plus a starting bonus of $100 or she can choose to earn $16 per hour wit
1 answer:
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Answer:
The solutions are
Step-by-step explanation:
we have
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
square root both sides
Answer: Celine, 4092 ml
Step-by-step explanation:
Given
1 bottle contains 341 ml Juice
Celine buys 2 cases of 24 bottles i.e. a total of 48 bottles
Nicole buys 3 cases of 12 bottles i.e. a total of 36 bottles
Amount of Juice Celine has
Amount of Juice Nicole has
Thus, Celine has more juice than Nicole
Celine has 4092 ml more than Nicole
<h3>Answer: 2.2 units</h3>
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Explanation:
I'll define these point labels
- B = Blake's starting position
- F = finish line
- C = the third unmarked point of the triangle
The locations of the points are
- B = (-8,1)
- C = (-6,-3)
- F = (4,-2)
Use the distance formula to find the distance from B to C
Segment BC is roughly 4.47214 units long.
Following similar steps, you should find that segment CF is approximately 10.04988 units long.
If Blake doesn't take the shortcut, then he travels approximately BC+CF = 4.47214+10.04988 = 14.52202 units. This is the path from B to C to F in that order.
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Use the distance formula again to find the distance from B to F. This distance is about 12.36932 units. He travels this amount if he takes the shortcut.
Subtract this and the previous result we got
14.52202 - 12.36932 = 2.1527
That rounds to 2.2
This is the amount of distance he doesn't have to travel when he takes the shortcut.
In other words, the track is roughly 2.2 units shorter when taking the shortcut.
Side note: Replace "units" with whatever units you're working with (eg: feet or meters).