Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 14 miles per hour slower than the westbound train. If the two trains are 400 miles apart after 2 hours, what is the rate of the eastbound train?

Answers

Answer 1

Answer:

Rate of the Eastbound train is 93 mph.

Step-by-step explanation:

Let the speed of the Eastbound train = x miles per hour

And the speed of the West bound train = y mph

Eastbound train travels 14 mph slower than the westbound train,

So the equation will be,

y - x = 14 ----------(1)

If these trains are 400 miles apart after 2 hours,

Distance traveled by the Eastbound train = Speed × Time

                                                              = 2x miles

Distance traveled by the Westbound train = 2y miles

Trains are 400 miles apart after 2 hours,

So the equation will be,

2y + 2x = 400

x + y = 200 ----------(2)

By adding equation (1) and equation (2)

(y - x) + (x + y) = 14 + 200

2y = 214

y = 107 mph

From equation (1)

107 - x = 14

x = 107 - 14

x = 93 mph

Therefore, rate of the Eastbound train is 93 mph.


Related Questions

27 + 9x = 12x - 6
(Provide steps)

Answers

Answer:

Let's solve your equation step-by-step.

27+9x=12x−6

Step 1: Simplify both sides of the equation.

27+9x=12x−6

27+9x=12x+−6

9x+27=12x−6

Step 2: Subtract 12x from both sides.

9x+27−12x=12x−6−12x

−3x+27=−6

Step 3: Subtract 27 from both sides.

−3x+27−27=−6−27

−3x=−33

Step 4: Divide both sides by -3.

−3x

−3

=

−33

−3

x=11

Answer:

x=11

Step-by-step explanation:

Write an equation of the given line that passes through the given point and has the given slope m
(-3,-11);m=1/2

Answers

y=mx+b
solve for b
-11=-3*1/2+b
-11=-1.5+b
b=-11+1.5
b=-9.5

PLSSSS HELPP MEEEE PLSS :((

Answers

Answer:

X.

Step-by-step explanation:

PLZ HELP I GIVE BRAINLIEST

Answers

9514 1404 393

Answer:

  2

Step-by-step explanation:

The recommended way to multiply mixed numbers is to convert them to improper fractions. Where there are factors that cancel, this works nicely.

  [tex]1\dfrac{2}{3}\times1\dfrac{1}{5}=\dfrac{5}{3}\times\dfrac{6}{5}=\dfrac{5\cdot3\cdot2}{5\cdot3}=\boxed{2}[/tex]

A cylinder has a volume of 45pi and a radius of 3. What is it’s height?
It’s height is _____ units.

Answers

Answer:

       It’s height is 5 units.

Step-by-step explanation:

[tex]V=\pi R^2\cdot H\\\\V=45\pi\\R=3\\H=??\\\\45\pi=\pi\cdot3^2\cdot H\\\\45=9H\\\\H=5[/tex]

What is the slope of the line through (-1, 4) and (1, -2)?
(1.4)
3
2
-1
2
3
4
1
-2
(12)
-3
O A. -3
B.
d
C. 3
< PREVIOUS

Answers

answering for the slope of the two points:
-2-4
1-(-1)
-6/2=-3
-3 is the slope

Answer the attached question. 10 points are yours

Answers

What question? What even is this?

***Please help me with this giving a crown away ****
Sara ran 3.2 miles on Monday and another distance on Tuesday.

She ran a total of 6.1 miles on Monday and Tuesday.

How many miles did Sara run on Tuesday?

Enter your answer as the correct value, like this: 4.2

Answers

Answer:

2.9 miles

Step-by-step explanation:

If she ran a total of 6.1 miles then you just do 6.1 - 3.2 = 2.9 miles

Answer:

Sara ran 3.2 miles on Monday and another distance on Tuesday.

She ran a total of 6.1 miles on Monday and Tuesday.

How many miles did Sara run on Tuesday?

Enter your answer as the correct value, like this: 4.2

Step-by-step explanation:

Correct value: 3.1?

I think its right

Please help me fast!!!!!!!!!!

Answers

Answer: 4x-12x

Step-by-step explanation:

Distributive preoperty so -6*-2/3=4 and  -6*2x= -12x together 4x-12x equals option c

Answer:

You're going to myltiply -6 ×-2/3 which will equal positive 4 and -6 ×2x which is going to equal-12. So your answer is 4-12x

What is the value of y?

What is the value of x?

Answers

Answer:

y = 8 and x = 8 sqrt(3)

Step-by-step explanation:

sin(60)=x/16

16sin(60)=x

x=8 sqrt(3)

cos(60)=y/16

16cos(60)=y

y=8

A TV that usually sells for $185.63 is on sale for 25% off. If sales tax on the TV is 5%, what is the price of the TV, including tax?

Answers

Answer: A TV that usually sells for $185.63 is on sale for 25% off. If sales tax on the TV is 5%, what is the price of the TV, including tax?

178.18 x 0.25 = 44.55

178.18 - 44.55 = 133.63 = sales price

133.63 x 0.05 = 6.68

133.63 + 6.68 = 140.31 = total price

Step-by-step explanation: That's how I solved it...

answer question a and b please

Answers

The correct answers are:

a) difference in T between Rome and Oslo: 9 °C (11- 2=9)

b) T in Kiev at 6pm: 7 °C (1+6=7)

lins father is paying for a 20$ meal.he has a 15% off coupon.after the discount a 7% sales tax is applied. what does lins father pay for the meal.​

Answers

Answer:

35

Step-by-step explanation:

What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x - 2)?

Answers

Answer:

The answer is x=4.

Step-by-step explanation:

Have a great day!

please help me with this problem

Answers

Answer:

6.75

Step-by-step explanation:

We are given that function

[tex]f(x)=\frac{9x-18}{4}[/tex]

5 is an element in the domain of f(x)

i.e

x=5

We have to find the corresponding element of 5 in the range of f(x).

Substitute x=5 in the given function

[tex]f(5)=\frac{9\times 5-18}{4}[/tex]

[tex]f(5)=6.75[/tex]

Hence, the corresponding element of 5 is 6.75 in the range.

Find S? Please help, thank you :)

Answers

Answer:

If I am correct, the answer should be 70.1 degrees.

How many 12/4 are in 3

Answers

Answer:

There is one 12/4 in 3.

Step-by-step explanation:

12/4 = 3

4/4 + 4/4 + 4/4 = 12/4 = 3

y = 7x + 10 y= -4x - 23

Or 7x + 10 = -4x - 23

I need to show my work too hurry!!

Answers

Step-by-step explanation:

7x + 4x = -23 - 10

or, 11x = -33

or, x = -33/11

or, x = -3

Therefore, x = -3.

Hope you got the answer.

9 cows can eat all the grass in a field in 21 days.How many days would it take for 3 cows

Answers

The answer would be 63 days.

Answer:

63 Days

Step-by-step explanation:

Add my discord kisS_My_Axe101#8338

in which step was an error made?? plzz answer fasttt

Answers

Answer:

Step 1

Step-by-step explanation:

they forgot the negative

Carmen bought candy to go into
treat bags. The ratio of candy to
treat bags was 7:1. If she bought
84 pieces of candy, how many
bags would she need?ASAP

Answers

Answer:

12 treat bags

Step-by-step explanation:

I believe 12 because 84/7 is 12

6/7 times 3/4 = x
IN SIMPLEST FORM

Answers

Answer:

I believe 6/7 times 3/4 in the simplest form is 9/14 because you aren't able to put anything in both of those numbers

Step-by-step explanation:

The value of x in the equation (6/7) × (3/4) = x is 9/14.

To find the value of x in the equation (6/7) × (3/4) = x.

We can simply multiply the two fractions together.

Multiplying the numerators and denominators gives us:

(6 × 3) / (7 × 4)

= 18/28

The fraction 18/28 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2.

(18/2) / (28/2)

= 9/14

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ6

evaluate the expression 5 3 =

Answers

Answer:

Do you mean to multiply? you don't have any sign. if you meant multiply its 15, if you meant divide it's 1 2/3, if it's addition it's 8, if its subtraction it's 2

HELP PLEASEE
A baker uses 63 cups of flour and 72 cups of water for a recipe. The flour to water ratio is 63:72 how much water does the baker need if he uses only 7 cups of flour?

Answers

Answer:

8 cups of water

Step-by-step explanation:

63/7=9

72/9=8

darlene uses 4 nails for every 12 inches of wood how many nails will she use in 6 feet of wood

Answers

Answer:

she will use 24 nails

Step-by-step explanation:

Brainliest plz

Answer:24 nails

Step-by-step

PLEASE HELP ME PLEASEEEEE

Answers

Step-by-step explanation:

radius=diameter/2

r = 6/2 m

=3m

volume of sphere=4/r³

= 4/×(3)³

=36π

(2, 14), (6, 34), (8,44), (x, 64). What is the value of x?

Answers

Answer:

12

Step-by-step explanation:

The Sommers invested $5000 for three years at 6.5%. How much interest did the investment earn in three years? What was the total amount of the account after three years?

PLZ SHOW HOW YOU SLOVED IT! THX <3

Answers

Answer:

$1039.74 and $6039.74

Step-by-step explanation:

Ok so if this is growing exponentially and is giving 6.5% per year then you would do (5000*0.065) + 5000 which is 5325 then you would do (for year 2). (5325*0.065) + 5325 which is 5671.125. And lastly, you would do (5671.125*0.065) + 5671.125 which is 6039.74 (rounded answer).

Answer:

1.)$975.00

2.$)5,975

Step-by-step explanation:

5,000*3*6.5=975.00

5,000+975=5,975

Hope this helps :)

What is 4n-32? Factor your expression using the greatest common factor.

Answers

Answer:

4(n-8)

Step-by-step explanation:

take out 4 from 4n-32

so it's 4(n-8) coz 32÷4=8 so yeah

omg please help me ASAP I reallly need my 100 backkkkkkkk

Answers

19, cuz 4x19 is 76 and 72<76

Answer:

well N= 18.5 you do the rest

Step-by-step explanation:

Other Questions
-8m 6(1 - 4m) = -102 is this section is about how plastic bags affect the environment a claim or not HAIRCUT Josiah went to the localbarber to get his hair cut. It cost$18 for the haircut. Josiah tippedthe barber 15%. What was the totalcost of the haircut including thetip? What is the solution? 1 pointIf the element Lithium (Li) were to bond with the element Sulfur (s), whattype of bond can you predict will be formed and why?*A. Covalent-Li and S are two nonmetalsB. Covalent-Li is a metal and S is a nonmetalC. Ionic-Li and S are two nonmetalsD. Ionic-Li is a metal and S is a nonmetal Rank the effective nuclear charge Z* experienced by a valence electron in each of these atoms: atom Z* experienced by a valence electron. An atom of carbon. An atom of fluorine. An atom of beryllium. An atom of boron. find the unknown side length x right here answer in simplest radical formA.241B.429C.48D.58 Determine the simple interest when: principal: $890, interest rate: 4.25%, time: 2 year The scene where Simon meets the "Lord of the Flies" is probably the most famous scene in the book, and that's why we have only one question today, so that we can focus on it. What similarities can you find between this scene and the biblical story of Jesus' temptation in the desert? What predictions can you make for the rest of the book as a result of this scene? ? QuestionDrag the tiles to the correct boxes to complete the pairs.Match the types of lines to what they signify.TilesSmooth linesBlurred linesThick linesPairsboldnesscalmnessuneasematch the types of lines to what they signify A DVD originally costs $16. The discounted price is $12. What is thepercent change?25% increase25% decrease18.75% increase 18.75% decrease Which one of those answers?And explain? 4*9x4*3 whats the answer A computer that cost 1099 last year costs 999 this year. What is the percent of change in price rounded to the nearest tenth? ? Type your response in the box.Read the following excerpt from a science fiction story:The man pressed his hand against the biological key-reader that locked the computer room. After touching his hand against the coldsurface, the large metal door groaned and rumbled up into the ceiling. The man walked through the opening. His entrance triggeredthe lights in the room to come alive. In the back of the large, hollow room, he heard a machine power up, Its electric board Inhaling andsighing as the current pulsed through the metallic cavern.What is one figurative device the writer uses to amplify the sense of advanced technology, and what is the effect of this device? Type the correct answer in each blank. Use numerals instead of words. If necessary, use / for the fraction bar(s).Charlie runs a book rental business. He currently charges $3 per book and rents out an average of 38 books a day.According to a study, for every 50 increase in rental price, the average business can expect to lose 4 rentals a day.Complete the equation that models this scenario, where b(x) is the revenue generated and x is the number of 50 price increases.b(x) = -____x2 + ____x + _____ which is largest 4.12 or 4.21 Let's tour around East Asia!Directions: Name each picture according to the country they belong. Write either it's from CHINA,JAPAN, or KOREA. ..I gave brainlest.. right answer!! neeed help in math pleaseee why is the vegetables market necessary . give reason