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Mekhanik [1.2K]
3 years ago
15

Kim drives 378 miles and uses 18 gallons of gasoline. At that rate, how many miles can she go on 24 gallons of gas?

Mathematics
2 answers:
alexandr402 [8]3 years ago
7 0
Hi there! To solve this problem, you can do it by writing and solving a proportion. The proportion would be written like this: 378/18 = x/24. You do this, because you’re looking for the amount of miles you can go on 24 miles of gas and you already know the amounts of gallons, so they go at the bottom lines up with each other. Let’s cross multiply the values to get 9,072 = 18x. Now, divide each side by 18 to isolate the “x”. When you do that, x = 504. There. Kim can go 504 miles on 24 gallons of gas.
AleksandrR [38]3 years ago
3 0
Do 378 / 18
That equals 21

Then do 21 * 24
That equals 504

Conclusion: It would take 504 miles to go on for 24 gallons of gas.
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Answer:

<u>A</u>

<u>B</u>

<u>E</u>

Explanation:

The first, third and fifth options are valid as it mentions the three edges; no matter what the order is as long as the three points are mentioned its considered as the valid name

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3 years ago
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anastassius [24]

Answer:

This value means that his shoe size is 2.9 deviations above the population mean.

And we can find the approximate percentile for his measure like this:

P(Z

This correspond to the 99.8 percentile, so then his shoe size is 99.8% above all the shoe sizes.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the shoe size of a population, and for this case we know the distribution for X is given by:

X \sim N(\mu,\sigma)  

Where \mu represent the mean and \sigma the population standard deviation.

For this case we know that a man obtain a z score of z=2.9

This value means that his shoe size is 2.9 deviations above the population mean.

And we can find the approximate percentile for his measure like this:

P(Z

This correspond to the 99.8 percentile, so then his shoe size is 99.8% above all the shoe sizes.

3 0
3 years ago
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UkoKoshka [18]

Solution

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(f/g)(x) = \frac{f(x)}{g(y)}

(f/g)(x) = \frac{-20x^{2}+14x +12 }{5x - 6}

<u>Step 1: </u>Now we have to factorize the numerator.

f(x) = -20x^2 + 14x + 12

Factor out -2, we get

= -2 (10x^2 - 7x - 6)

Now we can factorize 10x^2 - 7x - 6                  

f(x) = -2(2x + 1) (5x - 6)

<u>Step 2: </u>Plug in the factors

(f/g)(x) = \frac{-2 (2x +1)(5x - 6)}{(5x - 6)}

<u>Step 3:</u> Cancel out the common factor (5x - 6) from the numerator and the denominator, we get

(f/g)(x) = -2(2x +1) = -4x -2

Since -4x -2 is linear expression, the domain is all the real numbers.

Therefore, the answer is –4x – 2; all real numbers

Thank you :)

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Answer:

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Step-by-step explanation:

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