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inessss [21]
2 years ago
12

Rachel drives at a constant speed of 70 miles per hour.

Mathematics
1 answer:
marishachu [46]2 years ago
3 0

The linear function that models Rachel's distance as a function of time is:

D(x) = (70 mi/h)*x

<h3>How to find a function that models Rachel's distance as a function of time?</h3>

Remember the relation between speed and distance:

Distance = Speed*Time.

Here we know that the speed of Rachel is 70 miles per hour, then if she drives for x hours, the distance traveled will be:

D(x) = (70 mi/h)*x

So we found a linear function that models Rachel's distance as a function of time.

If you want to learn more about linear functions:

brainly.com/question/1884491

#SPJ1

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2 1/3 + 3/7 divided by 2 1/3 x 1 3/7​
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Step-by-step explanation:

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2\frac{7}{21}+\frac{9}{21} / 2\frac{7}{21} * 1\frac{9}{21}

2. Now, I would go and solve each side of the equation because we divide them, we can add 2\frac{7}{21} and \frac{9}{21}  together to get  2\frac{16}{21}, because 7 + 9 = 16

2\frac{16}{21} / 2\frac{7}{21} * 1\frac{9}{21}

3. We can do the same thing to the other side, by multiplying the two of them. I'm going to convert both of them to just fractions, 2\frac{7}{21} becomes \frac{49}{21} and 1\frac{9}{21} becomes \frac{30}{21}

\frac{49}{21} *  \frac{30}{21}

Now we can reduce them, and for our first fraction divide the top and bottom by 7, giving us  \frac{7}{3} and the second one by 3, which gives us  \frac{10}{7}

\frac{7}{3} * \frac{10}{7} now we cross divide, where we replace the 7's with ones because they're right across from each other to get  \frac{1}{3} and  \frac{10}{1}, or just 10.

\frac{1}{3} * 10 =  \frac{10}{3}

4. So now we can do a similar thing with the first half of our equation and convert it into a fraction and not a mixed number.

\frac{58}{21} / \frac{10}{3}

Now we multiply divide them, and the easiest way I learned how to do this was by keep the first fraction in its place, and flipping the denominator and numerator of the second, and multiplying them.

so   \frac{58}{21} * \frac{3}{10} which if we multiply both sides, you get \frac{174}{210}

I'll save you some times and simplify it for you, the greatest common factor is 6 so we divide the top and bottom by 6 to get

\frac{29}{35}

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3 years ago
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