An Eastbound train (E) traveling 95 mph and a Westbound train (W) traveling 110 mph leave the same train station at different times. After 4 hours, they are 4 00 miles apart. Which system of linear equations can be used to determine the time that each of the trains has been traveling?

Answers

Answer 1

Answer:

The system of linear equations that can be used to determine the time that each of the trains has been traveling is:

E + W = 4 ....... Equation 1

95 E + 110W = 400  ......Equation 2

Hence,

An Eastbound train has been travelling for =  (E) = 2.67 hours

A Westbound train has been travelling for =  (W) = 1.33 hours

Step-by-step explanation:

An Eastbound train (E) traveling 95 mph and a Westbound train (W) traveling 110 mph leave the same train station at different times. After 4 hours, they are 4 00 miles apart. Which system of linear equations can be used to determine the time that each of the trains has been traveling?

Speed = Distance/Time

Distance = Speed × Time

Let the time

An Eastbound train =  (E)

A Westbound train =  (W)

E + W = 4 hours ....... Equation 1

95mph × E + 110mph × W = 400 miles

95 E + 110W = 400 miles ......Equation 2

The system of linear equations that can be used to determine the time that each of the trains has been traveling is:

E + W = 4 ....... Equation 1

95 E + 110W = 400  ......Equation 2

E = 4 - W

We substitute 4 - W for E in Equation 2

95 (4 - W) + 110W = 400  

380 - 95W + 110W = 400

Collect like terms

95W - 110W = 400 - 380

15W = 20

W = 20/15

W = 1.3333333333 hours

≈ 1.33 hours

E = 4 - W

E = 4 - 1.33 hours

E = 2.67 hours

Therefore,

An Eastbound train has been travelling for =  (E) = 2.67 hours

A Westbound train has been travelling for =  (W) = 1.33 hours


Related Questions

Check the picturee need helppp

Answers

You didn’t post a picture??

what is the value of x in (3x + 11) ​

Answers

Answer: no answer

Step-by-step explanation:

There are no combine terms to this question.

There is no way we can find out the value of x.

Therefore, there is no solution or there is no answer.

Answer: 11/3, or 3.66 (repeating)

Step-by-step explanation: 3x + 11, divide 11 by 3, getting a repeating decimal, or a fraction that cannot be simplified

A motorcycle bought for $10,000 depreciates continuously at 9% per annum. What is its value after 7 years?
a. 5,226.
b. 5,126.
c. 0.
d. 5,026.

Answers

Answer:5326

Step-by-step explanation:

A=Pe^rt

Find the slope of the line that contains each pair of points

Answers

Answer:

m=3/2

m=-5/3

m=-5/9

m=8/5

m=1/2

m=0

m=1

Find the value of this question ​

Answers

Answer:

the expression is equal to 0

What is the slope of the line on the graph?

Answers

Answer:

The slope would be 7.

Step-by-step explanation:

Count the number of spaces the line goes up from point A to point B.

Can someone help? I don't really understand this question...

Answers

7 1/2 - 5 5/8 but you need to find a common denominator, so
7 1/2 x 4 = 7 4/8
7 4/8 - 5 5/8 = 1 7/8

Which expression is equivalent to 20y - 5


a.4(5y-1)


b.20(y-5)


c.5(4y-1)


d.y(20-5)

Answers

b.20(y-5)

Step-by-step explanation:

not sure ops sorry

9x+6+4x-2x+1-15
What is the answer?

Answers

Answer: 3x - 8

Hope it helps!

Answer:

9 + 6 + 4 − 2 + 1 − 1 5

9x+{\color{#c92786}{6}}+4x-2x+{\color{#c92786}{1}}{\color{#c92786}{-15}}

9x+6+4x−2x+1−15

9 − 8 + 4 − 2

Step-by-step explanation:

Are they equal or diffrent angles

Answers

equal because the parallel lines :)


5. Cherries are on sale for $16 for 4 pounds. Jordyn pays $28.00 for
cherries to make a cobbler. How many pounds of cherries does she buy? *

Answers

Answer:

7 pounds

Step-by-step explanation:

1 pound is $4 28/4 is 7

What do you call a female bug that floats?

Answers

Answer:

A buoyant girl ant

Step-by-step explanation:

A um gashsvwhqjqkqjqbwbqbqhwuwbw

Evaluate 2ab if a=5 and, b=8.

Answers

Answer:

80

2(5)(8)

you multiply 2 times 5 = 10

10 times 8 is 80

Which phrase describes how to divide a complex number z by r(cos θ + i sin θ)?

Scale by a factor of StartFraction 1 Over r EndFraction and rotate clockwise by θ.
Scale by a factor of r and rotate clockwise by θ.
Scale by a factor of StartFraction 1 Over r EndFraction and rotate counterclockwise by θ.
Scale by a factor of r and rotate counterclockwise by θ.

Answers

Answer:

its a

Step-by-step explanation:

The phrase is Scale by a factor of 1 /r and rotate clockwise by θ.

What is complex number?

Complex numbers are numbers that consist of two parts — a real number and an imaginary number.

Given:

z=r(cos θ + i sin θ)

So, to divide a complex number the best phrase to describe is Scale by a factor of 1 /r and rotate clockwise by θ.

Learn more about complex number here:

https://brainly.com/question/28007020

#SPJ2

Find the slope using the formula.
(-2,-9) and (-6,-6)

Answers

Answer:(3,-4) you just have to follow the equation.

Slope = change in y over change in x.

Slope = (-6 - -9) / (-6 - -2)

Slope = (-6 + 9) / (-6 + 2)

Slope = 3/-4

Slope = -3/4

Need help on this one.

Answers

Answer:

15,7,27,10 Good luck with ur work <3

Your 1 cup measuring cup is dirty/ lost. How are you going to measure out 2 14 cups of flour for the cookie recipe?​

Answers

Answer:

You are going to try to eyeball it and if your not able to then another guess is to look for a 1/2 table spoon and use it twice

Step-by-step explanation:

Im worried if I a wrong

Answer:

You would divide 14/2 because there is a 2 cup measuring cup and you need 14 cup so 14 / 2 = 7 you need to use the measuring cup 7 times.

Step-by-step explanation:

Please mark brainliest

Have a great day!

Please help geometry find the solution

Answers

Answer:

Directions Unclear:

Step-by-step explanation:

I am now drowning on air.

Answer:

ok

Step-by-step explanation:

Evaluate the function for x = 2,3,4
F(x) =2x-7-3

Answers

Answer:

below in bold

Step-by-step explanation:

f(x) = 2x - 7 - 3

~Combine like terms

f(x) = 2x - 10

When x = 2...

f(x) = 2(2) - 10

f(x) = 4 - 10

f(x) = -6

When x = 3...

f(x) = 2(3) - 10

f(x) = 6 - 10

f(x) = -4

When x = 4...

f(x) = 2(4) - 10

f(x) = 8 - 10

f(x) = -2

Best of Luck!

2688 divided by 96 with remainder

Answers

Answer: OK, the answer is 28.

Step-by-step explanation: Also there is no remainder for this division problem, you could have the remainder if the numbers are not the same as a multiplication problem, so did you get it?

What is the value of 2.57 - 1.75?​

Answers

Answer:

The value is 0.82

Step-by-step explanation:

If a train traveled at 50 meters within 120 seconds, what is its speed?

Answers

Answer:

v = 0.416 m/s

Step-by-step explanation:

Give that,

Distance covered by a train, d = 50 m

Time taken, t = 120 s

We need to find the speed of a train. The formula for speed of an object is equal to the total distance covered divided by total time taken. It can be given by :

[tex]v=\dfrac{d}{t}\\\\v=\dfrac{50\ m}{120\ s}\\\\v=0.416\ m/s[/tex]

So, the speed of a train is 0.416 m/s.

If Thomas travels 120 miles in 2 hours how many will it take him to travel 300 miles

Answers

it will take him (5 hours) to travel 300 miles.

Answer:

5hours

Step-by-step explanation:

120÷2=60

60=1 hour

300÷60=5

5hours

HELP
Solve y – 18 = –3.

Answers

Answer:

y = 15

Add 18 to both sides to cancel out the negative next to the y

Answer:

y=15

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    y-18-(-3)=0

y-15 = 0  

Add  15  to both sides of the equation :  

                     y = 15

Karen spent 39 minutes knitting 3 hats. In all, how many hats could Karen knit in 117 minutes

Answers

9 because 39\3 =13 and 13 divide by 117 =9

ILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST Paul's Pumpkin Patch advertises four pumpkins for $10.50. Which equation below represents this proportional relationship?​

Answers

Answer

the 1st equation

Step-by-step explanation:

Please help as soon as possible 50 points

Answers

Answer:

the answer is d. 4x²+x-6

Step-by-step explanation:

In order to combine the fractions, they need to have the same denominator.

So, multiply each of their numerators by the denominator they need to be equivalent.

This would look like this:

3x/x+3 --> 3x(x)/x(x+3)        ---simplify this as--> 3x²/x(x+3)

x-2/x  --> (x-2)(x+3)/x(x+3)  ---simplify this as --> x²+x - 6/x(x+3)

3x                    3x(x)                                     x-2                   (x-2)(x+3)

-----      --->        -----                 and             --------   --->           ---------

x+3                   x(x+3)                                    x                        x(x+3)

now that both fractions have the same denominator, we can add their numerators.

3x² + x²+x-6 = 4x²+x -6

This should now look like this:

4x²+x -6

-------------

x(x+3)

Choose the ratio that is equivalent to 4:6.
Group of answer choices
3:6
4:8
8:12
8:10

Answers

Answer:

8:12

Step-by-step explanation:

Answer:

8:12

Step-by-step explanation:

Both numbers are multiplied by 2

You work at a frozen yogurt shap during the summer. You need to order 5-ounce and 8-ounce cups. The storage room will only hold 10 more boxes. A box of 5-ounce cups costs $100 and a box of 8-ounce cups costs $150, A maximum of $1200 is budgeted for yogurt cups. A. Write a system of linear inequalities that shows the number of boxes of 5-ounce and 8- ounce cups that could be bought. B. Graph the system. C. Name a combination of 5- and 8-ounces boxes of cups that could be bought.​

Answers

Answer:  100f + 150e = 1250

Step-by-step explanation:

Subtract the 1st from the 2nd to solve for e:

50e = 250

e = 5 boxes (# of boxes of eight-once cups)

f + e = 10, so f = 5 boxes: (# of boxes of five-once cups)

6 boxes of 5-ounce cups and 4 boxes of 8-ounce cups could be bought.

Let x represent the number of box of 5-ounce cups and y represent the number of box of 8 ounce cups.

The room can only hold 10 more boxes, hence:

x + y ≤ 10   (1)

A maximum of $1200 is budgeted for yogurt cups. Hence:

100x + 150y ≤ 1200     (2)

Plotting the graph of the inequality, the solution is at (6, 4)

Therefore 6 boxes of 5-ounce cups and 4 boxes of 8-ounce cups could be bought.

Find out more at: brainly.com/question/4483570

Out of 1,200 students surveyed, 92% of them like country music. How many students like rap music?

Answers

Answer:

96

Step-by-step explanation:

1200*92=110400/100=1104

1200-1104=96

Answer:

1152 students like rap just take the numbers n divide

Other Questions
What is the most logical reaction to this question?Comes hamburguesas con pltanos?A) Por supuesto!B)Qu asco! What is 50 percent of 62?0.313.131310 Answer the question below Please help for brainliest What is wrong in this python code import turtle bot = turtle.Turtle step = (50) turnAngle = (90) bot.Color("blue") bot.Begin_fill() bot.Forward(step) bot.Right(turnAngle) bot.Forward(step) bot.Right(turnAngle) bot.Forward(step) bot.Right(turnAngle) bot.Forward(step) bot.Right(turnAngle) bot.End_fill() Given the set of test scores: 71, 75, 80, 81, 81, 84, 89, 93. If a score of 50 is added to the data set, which statement is true? Select all that apply. Choose all that apply: The mean decreases. The median decreases. The standard deviation increases.The range increases. Fihd the area of the triangle.68square units What country helped the continental army in the Battle of Yorktown?FranceEnglandSpainMexico How could Caroline best improve her analysis? HELP PLSSSSSShe could explain how the quotation supports her ideas.She could cite evidence from the text to support her opinion.She could include a thesis statement to express her position.She could evaluate the text to analyze the big ideas and messages I can't help solve my friends problems,I got too much to do help him out please Start with the top figure. Which transformation was used to create the pattern? A. Write about classical conditioning by identifying and giving an example of an unconditioned stimulus, an unconditioned response, a neutral stimulus, a conditioned stimulus, a conditioned response, a stimulus discrimination, and a stimulus generalization that you have experienced or seen. B. Cite four examples of operant conditioning you have experienced or seen. Be sure to cite the particular behavior and the consequence (reinforcer or punisher). PROJECT: USING ADVANCED FORMULASSuppose you own a small business with ten employees. Small businesses use spreadsheets for a variety of reasons.OBJECTIVESCreate a spreadsheet to track payroll.DirectionsCreate a spreadsheet to calculate the your company's payroll, or how much you pay each employee and the total you pay all employees.You pay your employees every two weeks, and for the last two weeks, your employees worked the following hours:Employee 1: 78Employee 2: 75Employee 3: 80Employee 4: 45Employee 5: 50Employee 6: 80Employee 7: 65Employee 8: 60Employee 9: 78Employee 10: 75Your spreadsheet should calculate:the total hours worked for each employeethe gross pay for each employee (pay rate is $12.50 per hour)the state income tax for each employee (use 5.7%)the Federal income tax for each employee (use 15%)Social Security for each employee (use 3.5%)the net pay for each employee by subtracting the income tax and Social Security from the gross paythe total gross pay, total state income tax, total Federal income tax, total Social Security, and total net pay paid to all employeesWhen you finish your spreadsheet, estimate your answers to check for accuracy. Make any necessary corrections. Use formatting techniques to make your spreadsheet easy to read. Upload your spreadsheet using the Upload tool in the box below. HELP NOW!!!!!!!!! PLEASE PTS Which of the following answer choices describes two MAIN ideas of the article? 1. Mindfulness is paying attention to our thoughts and feelings and being curious about whether they are compassionate or critial. 2. Being hard on yourself may not get the results you want. 3. Being kind to yourself can be challenging but will lead to long-term benefits. 4. to be self-compassionate you should become aware of how you treat yourself and take steps to treat yourself well.1 and 23 and 42 and 31 and 4 The Zimmerman Note was a secret telegram sent by Germany to the leaders of Mexico.Why did the Zimmerman Note cause outrage among Americans?It revealed that Mexico was getting ready to enter the war on the German sideIt promised Mexico that Germany would help it reclaim territory in the United States ifthe United States entered the war against GermanyZimmerman was passing American secrets to Germany with the help of MexicanleadersThe telegram contained secret messages sent by American leaders to its commanderson European battlefields Read the passage. What is an effective way to rewrite the passage to avoid redundancy and wordiness?Most people, regardless of their age, love the taste of sweet and sugary treats like chocolate, soda, and cookies. These foods are more often than not high in calories because of the sugar content. Because of the high sugar content and high calories, such foods can cause people to gain a lot of weight. What would happen to the pressure inside any enclosures on the moon as the sun hits the exterior and the temperature begins to rise? What kind of safety features could be built in to accommodate this? 2. What were three issues that caused conflict between the French and theBritish England? What did the German government do in the 1930's to identify Jewish citizensand Jewish owned business?? It is also absorbed through the lining of the__________into the blood.