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Tpy6a [65]
2 years ago
13

3a+b=54 when b=9 what is the value of a

Mathematics
2 answers:
Gwar [14]2 years ago
7 0
Answer: a = 15

3a + 9 = 54

3a = 54 - 9

a = \frac{54-9}{3}

a = \frac{45}{3}

a = 15
inna [77]2 years ago
6 0
54-9=45
45/3a=15
a=15 hope this helps
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Answer:

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Step-by-step explanation:

Notice that the series can be written as a combination of two geometric series, that can be found independently:

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The first one: (\frac{1}{2})^{n-1} is a geometric sequence of first term (a_1) "1" and common ratio (r) " \frac{1}{2} ", so since the common ratio is smaller than one, we can find an answer for the infinite addition of its terms, given by: Infinite\,Sum=\frac{a_1}{1-r} = \frac{1}{1-\frac{1}{2} } =\frac{1}{\frac{1}{2} } =2

The second one: \frac{1}{6^{n-1}} is a geometric sequence of first term "1", and common ratio (r) " \frac{1}{6} ". Again, since the common ratio is smaller than one, we can find its infinite sum:

Infinite\,Sum=\frac{a_1}{1-r} = \frac{1}{1-\frac{1}{6} } =\frac{1}{\frac{5}{6} } =\frac{6}{5}

now we simply combine the results making sure we do the indicated difference: Infinite total sum= 2-\frac{6}{5} =\frac{10-6}{5} =\frac{4}{5}

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dedylja [7]
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Step-by-step explanation:

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\mid y+2\mid=c

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Hope this helps!

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Step-by-step explanation:

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