In a particular country railroad miles have been on the decline and the miles of roads in the highway system have been increasing. The function y=-1250.2x + 142,602 represents the railrond miles, while the function y=501.5x + 158,449 models the number of

highway miles. For each function, x is the number of years after 1995


b. Find the year in which it is estimated that the number of the country's railroad miles and the number of the country's highway miles were the same.

It is estimated that the number of railroad miles and the number of highway miles were the same during the year ___.(Round down to the nearest your)

Answers

Answer 1

Answer:

1986

Step-by-step explanation:

Function that represents railroad miles

[tex]y=-1250.2x + 142602[/tex]

Function that represents number of highway miles

[tex]y=501.5x + 158449[/tex]

We have to find in which year (1995+x) the miles of railroad and highway is the same so

[tex]-1250.2x + 142602=501.5x + 158449\\\Rightarrow -1250.2x-501.5x=158449-142606\\\Rightarrow -1751.7x=15843\\\Rightarrow x=-\dfrac{15843}{1751.7}\\\Rightarrow x=-9.044\ \text{years}\approx -9\ \text{years}[/tex]

So, the year is [tex]1995+x=1995+(-9)=1986[/tex]

In the year 1986 the railroad and highway miles were equal.

Answer 2

It is estimated that the number of railroad miles and the number of highway miles were the same during the year 1986.

Given

The function y =-1250.2x + 142,602 represents the railrond miles.

While the function y =501.5x + 158,449 models the number of highway miles.

For each function, x is the number of years after 1995.

The year in which it is estimated that the number of the country's railroad miles and the number of the country's highway miles were the same.

Therefore,

[tex]\rm -1250.2x + 142,602=501.5x + 158,449\\\\-1250.2x -501.5x = 158,449-142,602\\\\-1751.7x=15847\\\\x = \dfrac{15847}{-1751.7}\\\\x=-9[/tex]

Then,

1995 - 9 = 1986

It is estimated that the number of railroad miles and the number of highway miles were the same during the year 1986.

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Answer:

Step-by-step explanation:

It depends on what you have been told about rounding when a 5 is involved.

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Step-by-step explanation:

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Explain to me in words how you would find the slope of this line and explain your answer

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Answer:

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Step-by-step explanation:

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The slope is 6

Step-by-step explanation:

To find the slope you use the formula rise/run

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Step one:

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Step two:

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Answer: A) segment AB = segment AD

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Step-by-step explanation:

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Answer:

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Order of Operations: BPEMDAS

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Step-by-step explanation:

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Answers

Answer:

A compound proposition that is always false is called a contradiction

Step-by-step explanation:

A compound proposition that is always false is called a contradiction. Option B is correct.

What is a contradiction?

Contradiction is defined as a situation or set of diametrically opposed ideas. Declaring publicly that you are an environmentalist but failing to remember to recycle is a contradiction.

A compound proposition that is always false is called a contradiction. A contradiction is a statement that contradicts itself, i.e., a statement that cannot be true at the same time. When two statements are combined and lead to a logically untenable conclusion, they are said to be contradictory. If a statement contradicts itself, it must be false. For example, the proposition "This statement is false" is a contradiction, as it leads to a logically untenable conclusion.

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Answers

Answer:

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Step-by-step explanation:

We are given the expression [tex]7m^3 + 6r^2 - 3r - 8[/tex]

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Answers

Answer:

Step-by-step explanation:

Helen had Php7500 for shopping money

she had Php132.75 in her pocket

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Answers

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Answers

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Step-by-step explanation:

he traveled 250 m

Answer:

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Step-by-step explanation:

If a car travels 50 miles per hour then we are given 5 hours as a time, we can multiply the two numbers together to get 250 miles. Let's see what the distance is after every hour:

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It is seen that after 5 hours a car driving 50mph would travel 250 miles!

Hope this helps!!

- Kay

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

13.375 times

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(GIVING BRAINLIEST IF U HELP!! PLS DRAW IT OUT!)

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Answers

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Step-by-step explanation:

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Answer:

311 :)

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PLEASE HELP ASAP 80 POINTS!!!!

Theresa volunteers at a food sheif. when she started, there were 213 oranges. After filling X bags of three oranges each, there were fewer than 51 oranges left. How many bags of oranges did Theresa fill?

Write an expression in terms of X for the number of oranges that Theresa bagged.

Part B: Write an expression in terms of X for the number of oranges that are left (have yet to be bagged).

Part C: Write an inequality using the expression from Part B to represent this scenario.

Part D: Solve the inequality for the variable X. Use opposite operations on both sides of the inequality until you get X on one side of the inequality by itself.

Part E: Did you have to flip the inequality sign? Explain why or why not.

Part F: What does the result from Part D tell you about Theresa's situation? Does the answer make sense? Explain.

Part G: Think about graphing the inequality you found in Part D on a number line. What would it look like?

Choose the correct number:

1. open circle on 54 and arrow pointing right
2. open circle on 54 and arrow pointing left
3. closed circle on 54 in arrow pointing right
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Answers

Answer:

A- The expression 3x represents the number of oranges that she bagged

B-  213 − 3x (or -3x + 213)

C- 213 − 3x < 51 (or -3x + 213 < 51)

D- x >54

E-Yes, I had to flip the inequality sign because I divided both sides of the inequality by a negative number (-3).

F- x > 54 means Theresa filled more than 54 bags of oranges. It makes sense because if Theresa made more than 54 bags of 3 oranges each, there would be fewer than 51 oranges left over.

G- Number 1 is correct.

Step-by-step explanation:

I did it./ Hope it helped : )

Answer:

everyone mark Praezhan brainleist thank you Praezhan so much

Step-by-step explanation:

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