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nordsb [41]
3 years ago
14

A machine that bottles apple juice is set so that every 6th bottle gets a red label and every 9th bottle gets a blue cap . What

number bottle will be the first to a red label and a blue cap?
Mathematics
1 answer:
Nastasia [14]3 years ago
4 0

Answer:

the Answer im pretty sure is bottle #18

Step-by-step explanation:

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Which of the points is NOT one of the vertices (s,t) of the shaded region of the set of inequalities shown below?
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Answer:

Option D

Step-by-step explanation:

Given: set of inequalities

To find: Points which do not satisfy all the inequalities

Solution:

For point (15,0):

15\leq 30-3(0)=30\\15\geq 15-0=15\\15\leq 25-0=25\\15\geq 0\\0\geq 0

So, (15, 0) satisfies all the inequalities

For point (7.5,7.5):

7.5\leq 30-3(7.5)=30-22.5=7.5\\7.5\geq 15-7.5=7.5\\7.5\leq 25-7.5=17.5\\7.5\geq 0\\7.5\geq 0

So, (7.5, 7.5) satisfies all the inequalities

For point (22.5,2.5):

22.5\leq 30-3(2.5)=30-7.5=22.5\\22.5\geq 15-2.5=12.5\\22.5\leq 25-2.5=22.5\\22.5\geq 0\\2.5\geq 0\\

So, (22.5,2.5) satisfies all the inequalities

For point (7.5 ,0):

Put s = 7.5 and t = 0 in s\geq 15-t

7.5\geq 15-0=15 which is false

So, (s,t)\neq (7.5,0)

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Answer:

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Step-by-step explanation:

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\frac{12a^{6}b}{3} Simplify the b, then divide by 3

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Solution:

<u>Note that:</u>

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