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1 year ago

Layla has a points card for a movie theater.

Mathematics

1 answer:

8090 [49]1 year ago

3 0

X = 6 visits

X = number of visits
60 + 11.5 x = 129 points
11.5 x = 129 -60
11.5x = 69
X= 69/11.5
X= 6

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3 years ago

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o-na [289]

Option C: The solution set is $\{8\}$

Explanation:

The expression is $3 \ln 4=2 \ln x$

Now, let us find the solution set.

Switch sides, we get,

$2 \ln x=3 \ln 4$

Dividing by 2 on both sides, we have,

$\ln x=\frac{3 \ln 4}{2}$

Thus, $\ln 4=\ln 2^2=2\ln 2$

Hence, the above expression becomes,

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Simplifying, we get,

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Applying the log rule, we get,

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Simplifying, we have,

$$\ln x$=\ln \left8\right$

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$x=8$

Thus, the solution set is $\{8\}$

Hence, Option C is the correct answer.

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3 years ago

Angle A and Angle B are supplementary. Angle A has a measure of 3x - 6 and Angle B has a measure of 54. What is the value of x?

Anni [7]

Answer:

44 degrees

Step-by-step explanation:

Since they are supplementary, they add up to 180. This means that

3x - 6 + 54 = 180

Solving,

3x + 48 = 180

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2 years ago

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