Two trains leave towns 1285 kilometers apart at the same time and traveled towards each other. One train travels 17 km/h faster than the other. If they meet in 5 hours what is the rate of each train

Answers

Answer 1

Distance = (Rate)(Time)

Let x = speed of slower train

     x + 17 = speed of faster train

The trains meet when the sum of the distances = 1285

5x + 5(x+17) = 1285

(5 came from 5 hours)

10x + 85 = 1285

10x = 1200

 x = 120 mph

The speeds are 120 mph and 137 mph

wyzant


Related Questions

Multply 7/8 to 2-1/3

Answers

Answer:

17/12

Step-by-step explanation:

7/8 x 2-1/3

7/4-1/3

17/12

Arrange the decimal numbers from largest to smallest.

Answers

Answer:

0.845, 0.839, 0.748, 0.712, 0.643

Answer:

0.845, 0.839,0.748,0.712,0.643

Solve for K
20-6 + 4K =2-2k

Answers

Answer:

K = -2

Step-by-step explanation:

20-6 + 4K =2-2k

=> 14 + 4k = 2 - 2k

=> 4k + 2k = 2 - 14

=> 6k = -12

[tex] = > k = \frac{ - 12}{6} [/tex]

=> K = -2 (Ans)

you are solving an equation with a variable on each side. does the side on which you choose to isolate the variable affect the solution? why might you choose one side over the other?

Answers

Answer:

Does the side on which you choose to isolate the variable affect the solution?

No, because at the end you get an equation with a variable on one side only.

Why might you choose one side over the other?

To simplify or minimize the number of operations you need. Moving part of the terms from one side to another adds at least one extra operation and it may also bring some complications.

Write an equation of the line below.

Answers

Answer:

y=x

Step-by-step explanation:

yep

that is the answer

which graph should Mr.Salinas use to presentation to the city council and why?

Answers

Answer:

The Salinas Plan

The Salinas Plan is a Ten-Year Plan designed to provide the City with a path forward on maintaining a long-term balanced budget while preserving City services and addressing the affordable housing crisis.  The Salinas Plan may be found here.

The Salinas Plan Story

The Salinas Plan was presented to the City Council by representatives of the National Resource Network on December 4, 2018.  The Salinas Plan represented over a year of work analyzing the City's fiscal situation and current housing policies.  The Salinas Plan presented the following key findings:

- The City of Salinas is on a fiscally unsustainable path.  While the City's revenues are growing at 2.4% per year, expenditures are growing at 2.9% per year.

Step-by-step explanation:

A student rotated figure A 270° clockwise about the origin to create figure D. Evaluate whether the student performed the rotation correctly.

Answers

Step-by-step explanation:

The student incorrectly performed a rotation of 90° clockwise.

Answer:

C, the student incorrectly preformed a rotation of 90 degrees clockwise.

Step-by-step explanation:

Simplify the following expression and show your work in details please .

Answers

Answer:

9-2b

Step-by-step explanation:

Set up equation:

[tex]9 - 8b + 6b[/tex]

Add like terms

[tex]9 - 2b[/tex]

9-8b+6b
You can combine -8b and 6b since it has the same variable.
That leaves
9-2b
Hope that helped!

power set of MIRACLE​

Answers

Answer:

The Kathryn Kuhlman Miracle Box Set is a captivating collection of 3 truly heart-warming essentials that will rejuvenate your faith; giving you a sense of hope that you may have never felt before. The three wonderful books are titled I Believe in Miracles, Nothing Is Impossible with God and God Can Do It Again. This collection of books allows you to experience the magnificent power of Kathryn's miracle services. Through the power of God Kathryn helped to heal people all over the world in what seemed hopeless situations, inspiring readers to believe that you too can be healed by the almighty power of God.

2. STEM A circuit board manufacturer rejects a 100-ohm resistor if its measured resistance is 0.15 ohm more than or less than 100 ohms. Resistors A and B are rejected. Resistor A's resistance differs from 100 ohms by 0.15 ohm. Resistor B's resistance differs from 100 ohms by -0.78 ohm. How do the resistances of these two resistors compare? Explain.​

Answers

The comparison of both resistors is defined by an inequality. Resistor A has a higher resistance than resistor B because [tex]100.15\Omega > 99.22\Omega[/tex]

Given that:

[tex]R = 100 \Omega[/tex] ---- the reference resistor

First, we calculate the resistance of both resistors

Resistor A differs by [tex]0.15\Omega[/tex] means that:

[tex]R_A = 100\Omega + 0.15\Omega[/tex]

[tex]R_A = 100.15\Omega[/tex]

Resistor A has a resistance of [tex]100.15\Omega[/tex]

Resistor B differs by [tex]-0.78\Omega[/tex] means that:

[tex]R_B = 100\Omega -0.78\Omega[/tex]

[tex]R_B = 99.22\Omega[/tex]

Resistor B has a resistance of [tex]99.22\Omega[/tex]

By comparing the calculated values, we can conclude that:

Resistor A has a higher resistance than resistor B because [tex]100.15\Omega > 99.22\Omega[/tex]

Read more about inequality comparison at:

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If you invested $7000 for 10 years at an annual interest rate of 3% how much is the accrued interest?

Answers

$9438 is your awnser

Find (fog)(x) when f (x) =
=-2 and 3(A)= = (I point)
2x
O Gog)(x) =
1+ 6x
1
O Gog)(x) =
2+3x
O Gog(x) =
x+3
4
1
Otog)(x)=
x+3
Finish
Cance

Answers

Answer:

A

Step-by-step explanation:

fog(x) = f(g(x) = f(1/2x) = 4x/(1+6x)

I need help explaining, this homeschool work so hard!! ​

Answers

Answer:

61

Step-by-step explanation:

(7 + 5) + 4 * 13 - 2

~Simplify using PEMDAS

12 + 4 * 13 - 2

12 + 52 - 3

64 - 3

61

Best of Luck~

The product of 4x and 0 is:
a- 4x
b- 4
c- 0
d- none of these

Answers

The correct answer is C 4x0=0

A reviewer decides to interview patrons to see how they would rate a particular restaurant. The following table lists the responses from
twenty-five patrons. What is the level of measurement for the data? Are the data qualitative or quantitative?
Restaurant Ratings
One Star Two Stars Three Stars
Five Stars
Four Stars
Three Stars
Four Stars
Four Stars
Five Stars
Three Stars
Five Stars
Four Stars
Five Stars
Four Stars Three Stars
Three Stars Five Stars
One Star
One Star
Two Stars
Five Stars
Two Stars
Four Stars
One Star
Five Stars

Answers

The level of measurement of the data is ORDINAL and the data is QUALITATIVE.

An Ordinal level of measurement is one whereby measurement follows a natural order, however, the difference or distance between each category cannot be measured. Ordinal data level are applicable to categorical variables.

In the scenario given,

The different categories available are :

One star, two stars, three stars, four stars and five stars.

The categories are ordered with the number of stars depicting better quality however, the difference between the quality offered isn't measurable.

Qualitative data groups variables into different categories and are used for non - numeric variables.

Quantitative data on the other hand are used for numeric data.

Hence, the level of measurement is Ordinal and the data is QUALITATIVE

Learn more : https://brainly.com/question/12929865?referrer=searchResults

Answer:one star

Step-by-step explanation:

Can someone help me with this please?

Answers

The start is that you have the form y = 125 (a)^x for an exponential function.

Since 125 (aka 2008) is your starting year, you can substitute in x=4 and y=145, since 2012 is 4 years after 2008. (2012-2008=4)

145 = 125 a^4

Divide by 125 on both sides:
145/125 = a^4

Take the 4th root of both sides on a calculator and you’ll have your a-value.

I am a prime number. I am two digits.
The sum of my digits is 8.
My tens digit is 6 less than my ones digit.

Answers

Answer:

17

Step-by-step explanation:

17 is a prime number17 has two digitsThe digits in 17, 1 and 7, add up to 8The tens digit is 6 less than the ones digit place.

Answer: 17

Step-by-step explanation:

1+7=8

The ten digit is (1) 6 less than the one digit (7)

Write an
equation in slope intercept form y = mx +b.
6) slope = 4, y-intercept = -3

Answers

Answer:

y = 4x - 3

Step-by-step explanation:

Slope intercept form is made up of these components:

y = outputm = slopex = inputb = y-intercept

    The question gives you the slope and the y-intercept. Now all you need to do is substitute the values for the variables. Therefore, the equation is y = 4x - 3.

What is an equation of the line that passes through the point (-1, 4) and is perpendicular to the line x-6у = 12?

Answers

Answer:

y=-6x-2

Step-by-step explanation:

x-6y=12

y=x/6-2

y=mx+c

since theyre perpendicular, 1/6 * m = - 1

m = -6

y=-6x+c

sub x=-1,y=4

4=-6(-1)+c

c = -2

y=-6x-2

y+5=3/2(x-7) write in y=mx+b form

Answers

Answer:

[tex]y=\displaystyle \frac{3}{2}x-\frac{31}{2}[/tex]

Step-by-step explanation:

Hi there!

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

Notice how y is isolated in slope-intercept form.

[tex]y+5=\displaystyle \frac{3}{2} (x-7)[/tex]

To change this into slope-intercept form, isolate y.

Use the distributive property on the parentheses:

[tex]y+5=\displaystyle \frac{3}{2}x-\frac{21}{2}[/tex]

Subtract 5 from both sides:

[tex]y=\displaystyle \frac{3}{2}x-\frac{21}{2}-5\\\\y=\displaystyle \frac{3}{2}x-\frac{31}{2}[/tex]

I hope this helps!

Write a simplified expression, in terms of y, for both area and perimeter of the triangle below

Answers

Answer:

Area: [tex]27y^{3} -24y^{2}[/tex]

Perimeter: [tex]6y^{2} +7y+5[/tex]

Step-by-step explanation:

Area:

[tex]\frac{1}{2}[/tex] x base x height

[tex]6y^{2} (\frac{1}{2} )(9y-8)\\3y^{2} (9y-8)\\27y^{3} -24y^{2}[/tex]

Perimeter:

[tex]6y^{2} +4y+(3y+5)\\6y^{2} +7y+5[/tex]

Please help due tomorrow

Answers

Answer:

just observe its like corresponding soo..

CAB = DEF

ABC = EFD

ACB = EDF

EMJOY ;)

Is 1 3/4 closer to 1 or 2 ? Explain your answer

Answers

Answer:

it's closer to 2

Step-by-step explanation:

In order to get to 1 from that number, you have to subtract 3/4.  In order to get to 2 from that number, you only have to add 1/4.  Clearly, the jump in adding is  smaller than the jump to subtracting, which means it's closer to 2.

The number is closer to 2

What is fraction?

A fraction shows part of a whole. This whole can be a region or a collection. The word fraction is derived from the Latin word "fractio" which means 'to break'. The Egyptians, being the earliest civilization to study fractions, used fractions to resolve their mathematical problems, which included the division of food, supplies, and the absence of a bullion currency.

All fractions consist of a numerator and a denominator and they are separated by a horizontal bar known as the fractional bar.

The denominator indicates the number of parts in which the whole has been divided into. It is placed in the lower part of the fraction below the fractional bar.The numerator indicates how many sections of the fraction are represented or selected. It is placed in the upper part of the fraction above the fractional bar.

Given number:

1 3/4 = 7/4

On dividing

7/4 = 1.75

Hence, the number is closer to 2.

Learn more about fraction here:

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If no sides of a triangle have the same length, the triangle is called scalene
(pronounced SKAY-leen). And, as you might remember, if the triangle has at
least two sides that are the same length, the triangle is called isosceles. Use the
markings or description in each diagram below to decide if AABC is isosceles or
scalene. Assume the diagrams are not drawn to scale.

Answers

Answer:

a. isosceles

b. isosceles

c. scalene

PLEASE HELP

write and solve an equation to find the value of X. please explain in details and show your work!

Answers

Answer:45 degrees

Step-by-step explanation:

given that 3x+2=4 and 2y+6=5 what is x+y?

Really need help on this one!

Answers

Answer: 1/6

x = (4-2)/3 = 2/3
y = (5-6)/2 = -1/2
x + y = 2/3 + (-1/2)
2/3 - 1/2
LCM (least common multiple) is 6 so just cross multiply
4/6 - 3/6 = 1/6

I hope this helps :)

The value of x+y using given equations is 3x+2y=1.

The given equation are 3x+2=4 and 2y+6=5.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

To find x+y:

3x+2+2y+6=4+5

⇒ 3x+2y+8=9

⇒ 3x+2y=1

Hence, the value of x+y using given equations is 3x+2y=1.

To learn more about an equation visit:

https://brainly.com/question/14686792.

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A rectangles length is 6 units greater than its width. Write an equation expressing the rectangles area, A, as a function of W

Answers

Answer:

A = W² + 6W

Step-by-step explanation:

The width is W.

The length is 6 units greater than the width, so the length is W + 6.

The area is the product of the length and width.

A = (W + 6)W

A = W² + 6W

a right triangle has a hypotenuse of length 2 inches. if one angle is 38°, find the length of each leg

Answers

Answer:

21

Step-by-step explanation:

Formula to find perimeter of rectangle

Answers

Hey there!

The formula to find the perimeter of a rectangle is "P=2(l+w)".

Hope this helps!

Have a great day! :)

Answer:

formula to find the perimeter of rectangle is

2(l+b)

hope it helps

stay safe healthy and happy.

what number is represented by 6 hundreds 14 tens and 12 ones?​

Answers

Answer:

6 * 100 = 600

14 * 10  = 140

12 * 1    = 12

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

752

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