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alekssr [168]
3 years ago
11

A train from Washington, D.C. to Chicago stops first in Pittsburgh and then in Cleveland. The distance from Washington, D.C. to

Pittsburgh is 30 miles less than twice the distance from Pittsburgh to Cleveland. The distance from Cleveland to Chicago is 220 miles more than the distance between Pittsburgh and Cleveland. If the entire train ride is 710 miles, how far is the train ride from Cleveland to Chicago?
Mathematics
1 answer:
pochemuha3 years ago
3 0

We are given statement : The distance between Pittsburgh, Pennsylvania, and St. Louis, Missouri, is 17 miles less than 5 times the distance between Pittsburgh and Cleveland, Ohio.

The distance between Pittsburgh and Cleveland = d.

We need to write an expression for distance between Pittsburgh and St. Louis.

And it's "17 miles less than 5 times the d".

5 times of d is = 5d.

17 miles less than 5d = 5d -17.

Therefore, 5d -17 expression can you use to represent the distance between Pittsburgh and St. Louis.

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Step-by-step explanation:

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mojhsa [17]

The common ratio of 2, 10/3, 50/9 is \frac{10}{6}

<u>Solution:</u>

Given, series of elements are 2, \frac{10}{3}, \frac{50}{9}

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We know that, common ratio of an G.P is division of any number in that series with the previous number of the series.

So, now take \frac{10}{3} and 2

\text { Then, common ratio }=\frac{\frac{10}{3}}{2}

\begin{array}{l}{\text { Common ratio }=\frac{10}{3} \times \frac{1}{2}} \\\\ {\text { Common ratio }=\frac{10}{3 \times 2}=\frac{10}{6}}\end{array}

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