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3 years ago

If "a" is a solution to the equation 5 + 6a = 7a-3, then what is the value of 2a?

Mathematics

1 answer:

soldi70 [24.7K]3 years ago

3 0

Answer:

The value of 2a will be: 16

Step-by-step explanation:

Given the equation

$5 + 6a = 7a-3$

subtract 5 from both sides

$5+6a-5=7a-3-5$

$6a=7a-8$

$-a=-8$

Divide both sides by -1

$\frac{-a}{-1}=\frac{-8}{-1}$

$a=8$

As we know that $a=8$ is the solution to the equation.

Hence, the value of 2a will be:

$2a = 2(8)$ ∵ $a=8$

$= 16$

Therefore, the value of 2a will be: 16

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liberstina [14]

Answer:

The average number of service calls in a 15-minute period is of 14, with a standard deviation of 3.74.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

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In which

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e = 2.71828 is the Euler number

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This means that $\mu = 56n$ , in which n is the number of hours.

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4 0

3 years ago

Whats the rule for the pattern 8,6,9,7,10.....?

Delicious77 [7]

Answer:

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Step-by-step explanation:

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3 years ago

.<br> Evaluate the series 1 + 0.1 + 0.01 + . . .

EastWind [94]

We can employ a simple repeated decimal trick:

$x=1.111\ldots$

$0.1x=0.111\ldots$

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###

Alternatively, we can compute the partial sum of the series.

$\displaystyle S_n=\sum_{k=0}^n\dfrac1{10^k}$

$S_n=1+0.1+0.01+\cdots+\dfrac1{10^n}$

$0.1S_n=0.1+0.01+0.001+\cdots+\dfrac1{10^{n+1}}$

$\implies S_n-0.1S_n=0.9S_n=1-\dfrac1{10^{n+1}}$

$\implies S_n=\dfrac{10}9-\dfrac9{10^n}$

As $n\to\infty$ , the second term vanishes and we're left with $\dfrac{10}9$ . Notice that this is really just a more formal version of the earlier trick.

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