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2 years ago

Convert 0.25 with the 5 recurring to a fraction in its simplest form.

Mathematics

1 answer:

pentagon [3]2 years ago

6 0

Answer:

Step-by-step explanation:

I'm taking this to mean

x = 0.255555555555... If this is not correct, leave a note. Multiply by 100

100 x = 25.55555555555555 ... Divide by 10

10x = 2.55555555555555 ... Subtract

90 x = 23

x = 23/90

Try putting 23/90 in your calculator. You will find it is 0.25555555... just what you were given

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algol13

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An office building has 24 offices on each floor. Each office either face north, south, east, west , and the amount of offices th

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3 years ago

What is the solution to the equation below? Round your answer to two decimal places? (apex) 5+8*In x=15.8

Sliva [168]

Option A : $x=3.86$ is the solution of the equation.

Explanation:

The equation is $5+8 \ln x=15.8$

To determine the value of x, let us simplify the equation.

Subtracting 5 from both sides of the equation, we have,

$5+\ 8 \ ln \ x-5=15.8-5$

Simplifying, we get,

$8 \ ln \ x= 10.8$

Now , dividing both sides of the equation by 8, we get,

$\ ln \ x=1.35$

Using the logarithmic definition that if $\log _{a}(b)=c$ then $b=a^{c}$

Thus, rewriting the above expression $\ ln \ x=1.35$ using the logarithmic definition, we have,

$\ln \ x =1.35$ ⇒ $x=e^{1.35}$

Substituting the value of $e^{1.35}$=3.85742...$ , we get,

$x=3.85742 \ldots$

Rounding off the answer to two decimal places, we get,

$x=3.86$

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3 years ago

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vesna_86 [32]

Answer:

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Step-by-step explanation:

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