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Answer:
30th
Step-by-step explanation:
The least common multiple of 10 and 15 is 30.
30 = 10×3 = 15×2
The 30th customer will be the first to receive both promotional items.
Answer: D) 300 degrees (counterclockwise)
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We want to have segment PQ rotate around the center so that it lines up with segment RF. Put another way: we want point P to rotate around the center to have it line up with point R, and we want Q to rotate so that it moves to point F.
Going clockwise, this is a rotation of 60 degrees as the diagram below shows (each blue arc is 30 degrees, so in total it's 30+30 = 60). In that diagram, I'm only focusing on moving point P. Point Q moves in a similar fashion. Since 60 is not an answer, this means 360-60 = 300 must be the answer.
Answer:
Ryo ordered
of the amount of eggs his restaurant needed
Step-by-step explanation:
Let's call z the number of eggs the restaurant needs
Ryo ordered 240% of the eggs he needed. Then Ryo ordered:
z.
This fraction can be simplified by dividing by 10 in the numerator and denominator.
Then it is:

It can be further simplified by dividing by 2 in the numerator and denominator:
z
Ryo ordered
of the amount of eggs his restaurant needed
Go to where 30 degrees is on the unit circle and find the y-coordinate. That is sin30.
1/4 (8 + 6z + 12)
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Combine like terms :
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1/4 (6z + 20)
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Apply distributive property :
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1/4(6z) + 1/4(20)
3/2z + 5
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Answer: 3/2z + 5
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