Let x be white marbles, y be yellow marbles
x+y=54…(1)
x=3y - 6 …(2)
put (2) into (1)
(3y - 6) + y = 54
4y = 60
y=15
put y=15 into (1)
x + 15=54
x=39
so y=15 x=39
Answer:
1. k≤ 26.11 hours
2. 5 ≤ x ≤ 6
Step-by-step explanation:
1.
38.76 + 2.69k ≤ 109
2.69k ≤ 70.24
k ≤ 26.11 hours
2.
19 ≤ 4 + 3x ≤ 22
15 ≤ 3x ≤ 18
5 ≤ x ≤ 6
If my answer is incorrect, pls correct me!
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-Chetan K
Answer: 
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Work Shown:
Apply the following trig identity

Now let's rationalize the denominator

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As confirmation, you can use the idea that if x = y, then x-y = 0. We'll have x = tan(165) and y = -2+sqrt(3). When computing x-y, your calculator should get fairly close to 0, if not get 0 itself.
Or you can note how

which helps us see that they are the same thing.
Further confirmation comes from WolframAlpha (see attached image). They decided to write the answer as
but it's the same as above.
Answer:
Step-by-step explanation:
the 2nd choice looks good Emily
y > x
y > x+2
Answer:
add here be back charger
Step-by-step explanation: