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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Related Questions

would it be 20.9 increase or decrease?

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Answer: increase because theres no negative number next to it

Step-by-step explanation:

Answer this please thanks

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Answer:

No.

Step-by-step explanation:

Because the line doesn't pass through the origin (0,0).

Use this expression to name each item. 7m3 + 6r2 – 3r - 8

Answers

Answer:

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

Variables = m, r

Coefficients = 7, 6 and -3

constant= -8

Step-by-step explanation:

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

We need to give variable, coefficients and constant.

Variable: The value of variable may change. It can be represented by x, y or any other letter

Coefficients: A numerical or constant quality that is placed with the variable. For example in 4x, 4 is coefficient

Constant: It is fixed value. It cannot be changed.

So, in the given expression [tex]7m^3 + 6r^2 - 3r - 8[/tex]

Variables = m, r

Coefficients = 7, 6 and -3

constant= -8

Diego lives 1/2 miles from school.What is 50% of 1/2

Answers

Answer:

0.25

Step-by-step explanation:

have you ever have a dream that you that​

Answers

Answer:

that you would you would you could do

using the law of sines, solve for ‘x’

Answers

Answer:

[tex]x=9.91098[/tex]

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

PreCalc

Law of Sines: [tex]\frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}[/tex]

Step-by-step explanation:

Step 1: Define

A = 15°

a = 7.5 mi

B = 20°

b = x

Step 2: Solve for x

Substitute:                    [tex]\frac{sin(15)}{7.5} =\frac{sin(20)}{x}[/tex]Cross-multiply:             [tex]xsin(15)=7.5sin(20)[/tex]Isolate x:                       [tex]x=\frac{7.5sin(20)}{sin(15)}[/tex]Evaluate:                       [tex]x=9.91098[/tex]

When rounded to the nearest thousands an elephant weight is 5,000 pounds. What is the least amount the elephant could weigh? I need step by step instructions please.

Answers

Answer:

Step-by-step explanation:

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

If you can round if the answer is 4500, then that would be your answer. If you have some complicated method of dealing with the 5 (involving odd or even numbers) the elephant's minimum weight will be different.

I would go with 4500.

4500


Step-by-step. Equation

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
4. closed circle on 54 and arrow pointing left​

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:

what is h(5)=-5²+3×5

Answers

Answer:

the answer will be -10.

The populations of Cities A and B are 1.6 x 10^5 and 1,070,000​, respectively. The population of City C is twice the population of City B. The population of City C is how many times the population of City​ A?

Answers

Answer:

13.375 times

Step-by-step explanation:

1,070,000 times 2=2,140,000. 2,140,000 divided by 160,000=13.375.

Adam got 56 out of 84 correct in his test.
What fraction of the marks did he get correct?
Give your answer in its simplest form.

Answers

Answer:

56/84

Step-by-step explanation:

Answer:

fraction: 2/3

percentage: 66.6%

Step-by-step explanation:

Write in decimal form:

0 × 100 +
6 × 10 +
5 × 1 +
2 × (1/10) +
1 × (1/100) +
4 × (1/1000)

Answers

Answer: 65.214

Step-by-step explanation: google caculator

Could anybody please help me here from this picture? I am not sure which pair of sides can be congruent.

Answers

Answer: A) segment AB = segment AD

The diagram below pretty much says it all. The color coding indicates what is given (in blue). The segments in red are congruent because of the reflexive property. If we know the green stuff is true, then we have enough to use SAS.


Kelly wants to buy a pair of pants that regularly cost $29.99, but they are on sale for 20% off. How much would Kelly pay for the pants after the discount, and
after the sales tax of 6%

Answers

Answer:

Black Friday sales

Step-by-step explanation:

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

Solve 8,397 ÷ 27 = __________ using partial quotients.
Draw it out

Answers

Answer:

311

Step-by-step explanation:

8397/27=311

Answer:

311 :)

Step-by-step explanation:

Use the algorithm method.

 3 1 1

2 7  8 3 9 7

8 1  

2 9

2 7

2 7

2 7

So your answer is 311

EXITTICKET:If a car travels 50 m/h , for 5 hours, then how far did the car travel ? (Distance: time. .speed)​

Answers

Answer:

50×5=250m

Step-by-step explanation:

he traveled 250 m

Answer:

250 miles

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:

1 hour: 50 miles

2 hour: 100 miles

3 hours: 150 miles

4 hours: 200 miles

5 hours: 250 miles

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

Hope this helps!!

- Kay

If the radius of the circle is 7 cm, find its area, rounded to 2 decimal places.

Answers

Answer:

14 :)

Step-by-step explanation:

Helen had Php7500 for shopping money. When she got home, she had Php132.75 in her pocket. How much did she spend for shopping?

Answers

Answer:

Step-by-step explanation:

Helen had Php7500 for shopping money

she had Php132.75 in her pocket

she spend= 7500.00-132.75

=7367.25answer

Do I have this correct or did I read the instructions wrong? This is due tomorrow and I’m still on slide 1. Pls help!

Answers

Answer:you are correct great job

Answer:

Hey man! Just saw this and that answer is not correct! I see how you were thinking tho. Here is how it should be graphed.

Step-by-step explanation:

I have marked the correct dots in green.

how many 7/8 cup servings are in 1/2 cup of juice?

Answers

6/4 it’s easy:) your welcome

Ann bought a hat for $16.20, a discount of 30% off. She paid 8% for tax how much was the total?

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Answer:

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Step-by-step explanation:

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3x - 9+X + 5

Answers

Answer:

4x-4 should be the answer

A compound proposition that is always ___________ is called a contradiction. A. True B. False

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.

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

Learn more about contradiction here:
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Subtract 7 from all and tell which is the most accurate measurement.

Answers

Answer:

Tool 1

Step-by-step explanation:

[tex]Tool\ 1 = 7.033 cm\\\\Tool\ 2 = 6.91cm\\Tool\ 3=7.1 cm\\\\When\ we\ subtract\ 7\ from\ all\ of\ them\ ,\\Tool\ 1 = 0.033 cm\\Tool\ 2 = -0.09cm\\Tool\ 3=0.1 cm\\\\Here,\\As\ Tool\ 1\ has\ more\ decimals\ in\ it, it\ is\ the\ most\ accurate\ among\ them.[/tex]

What value of y makes the following equation true?
−12(−5y+4)=2+12y

Answers

Answer:

Solution

 =  25/24

Step-by-step explanation:

hope that helps :)

If 2.2x10^6 - 4.3x10^5 what does this equal

Answers

Answer:

If the decimal is being moved to the left, the exponent will be positive. 1.77×10 ...

Step-by-step explanation:

Answer:

The answer is 1,770,000

Step-by-step explanation:

[tex]2.2 \times 10 {}^{6 } - 4.3 \times 10 {}^{5} [/tex]

1. Orders of Operation. Exponents come first before multiplication. So do the exponents first.

2.2×1,000,000-4.3×100,000

2. Order of Operation. Mutilpication comes before subtraction.

2,200,000-430,000

3. Subtract

1,770,000

the simple formula for price elasicity of demand is

Answers

Answer:

The price elasticity of demand is calculated as the percentage change in quantity divided by the percentage change in price.

9y - 36 simplified or expanded

Answers

Answer:

simplified

Step-by-step explanation:

look this is mad easy the answer is simplified because since there is no equal sign you dont need to find the value of y.

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

Answers

Answer:

5/3

Step-by-step explanation:

Looking at the two points, we count the rise (rise/run). It'd be 5 going up from the bottom point all the way to the same level as the top point. Then we count how many units over, which is 3. The slope of this would be 5/3. in slope form would be y=5/3x

Answer:

The slope is 6

Step-by-step explanation:

To find the slope you use the formula rise/run

The rise is the second y coordinate minus the first y coordinate

The run is the second x coordinate minus the first y coordinate

Step one:

Take any 2 points: I used (-1,2) and (-4,-3)

Step two:

Use the formula: rise/run

-4-2/-2-(-1)

-6/-1

6

I hope this helps :)

what is the constant of porportionality between 9 and 4.5​

Answers

Answer:

1/2

Step-by-step explanation:

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