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attashe74 [19]
3 years ago
15

Frances can complete 91 oil changes in 7 days How many oil changes can Frances complete in 11 days .

Mathematics
1 answer:
user100 [1]3 years ago
8 0

Answer:

143

Step-by-step explanation:

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Prove 2√(x) + 1/√(x + 1) <= 2√(x+1) for all x in [0,inf)
EleoNora [17]
Start by multiplying each side of the inequality by \sqrt{x + 1} and simplifying:

2 \sqrt x + \frac{1}{\sqrt{x+1}}  \leq  2 \sqrt{x + 1}
(2 \sqrt x + \frac{1}{\sqrt{x+1}})(\sqrt{x + 1}) \leq (2 \sqrt{x + 1})(\sqrt{x + 1})
2 \sqrt{x(x + 1)} + 1 \leq 2(x + 1)
2 \sqrt{x^2 + x} + 1 \leq 2x + 2
2 \sqrt{x^2 + x} \leq 2x + 1
\sqrt{x^2 + x} \leq x + \frac{1}{2}

From here, we can square both sides to get

x^2 + x \leq (x + \frac{1}{2})^2
x^2 + x \leq x^2 + x + \frac{1}{4}
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3 0
3 years ago
2400 people attended a football game. If 4% of the people who attended were teenagers, how many teenagers attended the game?
9966 [12]

Answer:

96 people were teenagers

Step-by-step explanation:

2400*4%= 96

7 0
3 years ago
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Write the fraction of 12/15 in its simple form​
Ugo [173]

Answer:

4/5

Step-by-step explanation:

To get the answer, find the GCF (greatest common factor) of the numerator and the denominator. Once you have the GCF, divide the 12 and 15 by that number. Here, the GCF is 3.

4 0
3 years ago
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Hi i need help with this "The cost of a theme park ticket is $25. The cost for 2 ticket is $50 what is the cost of 4 theme park
Bumek [7]

Answer:

$100

Step-by-step explanation:

If 1=$25, 2=$50, then 4*25=100 and 50*2=100

3 0
3 years ago
The variables y and x have a proportional relationship, and y = 15 when x = 3.
atroni [7]

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I think 2

Step-by-step explanation:

y=15 and x=3 5x3=15 and 2x2=4

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3 years ago
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