Two trains traveling the same speed leave the city. The southbound train reaches its destination in 45 minutes. The eastbound train reaches its destination in one hour. how fast were the trains traveling if their destinations are 88 miles apart.​

Answers

Answer 1

Answer:

70.4 mph

Step-by-step explanation:

Let the speed be x mph

The distances are

45/60x= 3/4x and x

The line connecting the two destinations is the hypotenuse of the right triangle with legs of 3/4x and x, which is 88 miles

Then we can put it as expression and solve for x:

(3/4x)² + x² = 88²9/16x² + x² = 88²25/16x² = 88²25x² = 4²*88²(5x)² = 352²5x = 352x = 352/5x = 70.4 mph

Related Questions

7
11. Which question can be answered using the expression
1?
4
8
A
7
Dave fills
8
gallons of punch are in the container?
of a container that holds gallon of punch. How many
(В)
of a container that holds gallon of punch. How many
4
8
gallons of punch are in the container?
7
8
gallon?
How many gallon servings are in
in gallon?
D
How many
7
8
gallon servings are in

Answers

use socratic instead


A box of baseball cards is $25.00 with %15 off. What is the sale price of the box of cards? In other words, how much is it after
take the discount off)

Answers

Answer:

21.25

Step-by-step explanation:

you would multiply 25 by 0.15 to get the percent being taken off then subtract that from your original price

x2 - 14x + 47 = 0

man how df you do dis

Answers

Answer:

-2.9375

Step-by-step explanation:

2x-14x+47=0

16x+47=0

16x=-47

x=-2.9375

Answer:

x=7+√ 2 or x=7-√ 2

Step-by-step explanation:

x^2-14x+47=0

Completing the square,

x^2-14x+49-2=0

x^2-14x+49=2

x^2-7x-7x+49=2

x(x-7)-7(x-7)=2

(x-7)^2=2

x-7=√ 2 or x-7=-√ 2

x=7+√ 2 or x=7-√ 2

what 1 2/7 divided by 5 1/7

Answers

Answer:

0.25 as a decimal and 1/4 as a fraction

Hope this helps :)

Answer: 1/4

Step-by-step explanation:

(Not really sure how to explain it, but there's the answer.)

A number x is no less than -8.

Answers

Answer:

i think it's

x is greater than or equal to -8

Step-by-step explanation:

idk idk.. help please

Answers

Answer:

c = √58

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

Because we have a right triangle, we can use the Pythagorean Theorem to help us solve for missing side lengths:

7² + 3² = c²

49 + 9 = c²

58 = c²

c = √58

Answer: c = √58

Step-by-step explanation:

A postal carrier delivers mail to 20 mailboxes on one side of a long street. Beginning with the first mailbox, the carrrier takes 5 seconds to sort and put the mail in each mailbox, and the mailboxes are 100 feet apart. How fast (in feet per second) must the carrier walk in order to complete delivery to all 20 mailboxes in 10 minutes? Answer in decimal form as a.b (for example, 9.7).

Answers

Answer:

3.8 seconds

Step-by-step explanation:

Time taken to sort the mail is [tex]5[/tex] seconds

Let time taken to go from one mailbox to the next be [tex]x[/tex]

Distance between the mailboxes is [tex]100[/tex] ft

So, sorting the mail for one mailbox and going to the next will be done in [tex](5+x)[/tex] seconds

This will happen 19 times and 5 seconds will be needed to sort the mail for the last mail box. The carrier will have to deliver to all the 20 mailboxes in 10 minutes. So, the total time taken will be

[tex]19(5+x)+5=10\times 60\\\Rightarrow 19(5+x)=595\\\Rightarrow 5+x=\dfrac{595}{19}\\\Rightarrow x=\dfrac{595}{19}-5\\\Rightarrow x=\dfrac{500}{19}\ \text{s}[/tex]

Time taken to go from one mailbox to the other is [tex]\dfrac{500}{19}\ \text{s}[/tex]

Speed is given by

[tex]v=\dfrac{100}{\dfrac{500}{19}}\\\Rightarrow v=3.8\ \text{ft/s}[/tex]

The speed at which the carrier has to move from one mailbox to the next is 3.8 seconds.

Twice a number plus four equals six

Answers

Step-by-step explanation:

Let say the unknown number we dont know is x

2x+4=6

2x=6-4

2x=2

x=2/2

x=1

So the unknown number is 1

-0.5-(-.8)+0.8+(-.5​)

Answers

Answer:

your answer is -1

Step-by-step explanation:

Grace swam a mile in 21 minutes. Jill swam a mile in 19.47 minutes. How
much faster did Jill swim than Grace?

Answers

Answer:

1.53

Step-by-step explanation:

because 21 minus 19.47= 1.53

Answer:

1  minute and 13 seconds

Step-by-step explanation:

Alan says that two lines in the coordinate plane are perpendicular if and only if the slopes of the lines are m and 1m. Identify and correct two errors in Alan’s statement.

Answers

Answer:

First, two lines are perpendicular if one has slope m, and the other has slope -1/m (Not 1m as Alan says)

That is the first error of Alan.

Now, there is another error.

If m = 0, then -1/m tends to minus infinity (in this case we would have a vertical line).

But we can not really divide by zero, so we should state that:

m can not be zero, if a line is horizontal, the perpendicular line must be vertical.

Somebody please helppp me!

Answers

Answer:

angle 2 is 94 degrees and angle 3 is 94 degrees

Step-by-step explanation:

4x-26=3x+4

4x=3x+30

x=30

they are vertical angles meaning they are equal

Select the correct answer from the drop-down menu.

The product of five rational numbers is positive. At most____of these rational numbers can be negative.


A.2 B.3 C.4 D.5

Answers

Answer:

4

Step-by-step explanation:

What transformations occur for the following equation? *
y = 8(x - 1)3 + 7

Answers

Answer:

☆<¤HOPE IT WILL HELP you >

y=(8x-8)3+7

y=24x-24+7

y=24x-17

17=24x

17/24=x

SO == x-17/24 y= 17

1. A bike shop rents each of its bikes for $6.50 per hour. They also charge a
$10.50 insurance fee for each rental.
What's the total cost, y of renting an bike for x hours.
Y = _?___ + __?__

Answers

Answer:

y=6.50x+10.50

Step-by-step explanation:

Answer: 17

Step-by-step explanation:

Help me pleaseee thank you In advance please explain to me too so i know what to do next time :)

Answers

I believe it would be options B and C.
Explanation: An angle bisector divides an angle into two congruent angles. So basically, it is a line that divides an angle perfectly in half. Each half has to be equal. B and C make sense because they are both split evenly.

When did Beethoven start to go deaf?


If he couldn’t hear, how did he write/compose music?


How did Beethoven’s deafness change the music that he wrote, as compared to the music written before he went deaf?


Did Beethoven continue to perform & conduct even when he was deaf? (Explain.)


Please list at least three musical differences between the 2 Videos, without saying that they play different instruments:

Answers

1.) When he was about 28 he started having problems with hearing. By the time he was 44 or 45 he was completely deaf.

2.) He could not hear the music but he could feel the vibrations of the keys. They were all different and unique so he could tell the difference between each through the unique vibrations of each of them.

3.) It didn’t change as much. As long as he memorized the notes and vibrations he was fine. In fact, the music got better. He released 5 of his greatest pieces regardless if he was deaf or not.

4.) Yes he did! He composed great music during his deaf times.

Find the greatest common factor of 7 and 7.

Answers

I think it should be 14

Could anyone prove this question correct... pls... I will mark branliest for step by step solution.

Answers

Answer:

C

Step-by-step explanation:

the answer is 15. hope this helps

$6.89 per pound for salmon OR $3.50 for 8 ounces (half a pound) of salmon

Answers

Answer: 6.89 per pound (assuming you meant which is the better deal)

Step-by-step explanation:

There are 16 ounces in a pound so you can multiply, 3.5 x 2 (since it is 3.5 for 8 ounces) to get 7. Therefore $6.89 for a pound is cheaper.

Alexander is a stockbroker. He earns 11​% commission each week. Last​ week, he sold ​$5,400 worth of stocks. How much did he make last week in​ commission? If he averages that same amount each​ week, how much did he make in commission in​ 2011?

Answers

Answer: 594 and 30888

Step-by-step explanation:

5400 x 0.11 = 594

594 dollars in commission of one week

52 weeks in a year

52 x 594 = 30888 dollars made in 2011

594 dollars in commission of one week.

$30888 he make in commission in​ 2011.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Stocks sold= $5400

Commission each week = 11%

So, Commission on Stocks sold

= 5400 x 0.11

= 594

Thus, 594 dollars in commission of one week.

As, 1 Year = 52 weeks

So, He can make in 2011 = 52 x 594 = $30888

Learn more about Unitary Method here:

https://brainly.com/question/22056199

#SPJ2

Which of the following values are solutions to the inequality −6≤1+3x?

Answers

solving the inequality for X, you will get:
x ≥ -7/3

If three quarters of a number decreased by twenty is equal to eighty two, what is that number?

Answers

A number is :

[tex]x[/tex]

_________________________________

Three quarters of it means :

[tex] \frac{3}{4}x \\ [/tex]

_________________________________

Decrease by 20 means :

[tex] \frac{3}{4}x - 20 \\ [/tex]

_________________________________

Equals to 82 means :

[tex] \frac{3}{4}x - 20 = 82 \\ [/tex]

_________________________________

What is that number ?

x asked so we must solve the above equation for x.

Let's do it....

[tex] \frac{3}{4}x - 20 = 82 \\ [/tex]

Plus sides 20

[tex] \frac{3}{4}x = 82 + 20 \\ [/tex]

[tex] \frac{3}{4}x = 102 \\ [/tex]

Multiply sides by 4

[tex]3x = 102 \times 4[/tex]

Divided sides by 3

[tex]x = \frac{102 \times 4}{3} \\ [/tex]

[tex]x = \frac{102}{3} \times 4 \\ [/tex]

Simplify

[tex]x = 34 \times 4[/tex]

[tex]x = 136[/tex]

So that number is 136 .

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

What's the least common denominator you could use to subtract 1/3 and 1/4

Answers

12 would be the least common denominator

WILL GIVE YOU BRAINLIST
Ashley is putting together a square bulletin board for her new room. The area of the bulletin board is 196cm^2 . What is the length of each side of the bulletin board? shape is square

Answers

Answer:

14

Step-by-step explanation:

Area of square is side times side. So, find the square root of 196.

Answer: The answer is 14

Step-by-step explanation: If you sqaure root 196 you will get 14

triangle D E F with what scale factor?

Answers

to find the scale factor you divide the image by the pre image

example- a rectangle that is 3 by 7 inches is enlarged to 42 inches what is the scale factor

3•7=21 (pre image)
42 (image)

42/21= 2

k=2

Lisa says 12 3 = 9 Kay says 12 3 = 4 Who is correct? Why?

Answers

Kay is correct because if you take 3 4s and add them all together you get 12 and if you take 4 3s and add them together you get 12

The graph of a system of linear equations is shown.
What is the solution of the system?
A. (3,-2)
B. (-2.5,3.5)
C. (3.5,-2.5)
D. (4,-2)

Answers

C

Because I did it on edg

please help this is due in a few minutes

Answers

Answer:

a. 8m

b. 7cm

Step-by-step explanation:

a. Area of a square is s², where s is the side length.

To find s:

s² = 64

s = √64

s = ±8

length cannot be negative, hence it is positive 8

b. Perimeter of a square is 4s = P, where P is the perimeter and s is the side length.

4s = 28

s = 7

The cost y (in dollars) of renting a segway for x hours is y=30x+25. Find the initial fee and the cost per hour.

Answers

Given:

The cost y (in dollars) of renting a segway for x hours is

[tex]y=30x+25[/tex]

To find:

The initial fee and the cost per hour.

Solution:

We have,

[tex]y=30x+25[/tex]       ...(i)

The slope intercept form of a linear equation is

[tex]y=mx+b[/tex]      ...(ii)

where, m is slope is b is y-intercept or initial value.

From (i) and (ii), we get

[tex]m=30,b=25[/tex]

The value of m is 30, so the slope is 30. It means cost per hour is $30.

The value of b is 25, so y-intercept is 25. It means the initial fee is $25.

Other Questions
Dont answer unless you know A primary difference between the Northern and Southern states was that:Select one:Northern states held Native Americans as slaves, while Southern states held Africans and African Americans as slaves.Southern states held Native Americans as slaves, while Northern states held Africans and African Americans as slaves.The Southern economy was based on large plantations worked by slaves, while the Northern economy was based on factories and trade!The Northern economy was based on large plantations worked by slaves, while the Southerneconomy was based on factories and trade. 14% of 81 is what number? No.3 .HELP NEEDED ASAP An obligation to do something or control over or care for someone. if 9/24 = 3/x then x is what? Read the excerpt from a consumer booklet. In this article, the writer is most likely going to Some teens and young adults think that having a credit card in their wallet gives them unlimited spending power. However, using credit without a plan can result in many financial challenges.A. suggest ways teens can manage their credit. B. suggest ways teens can get more credit cards. C. describe the advantages of using credit cards D. describe the different types of financial credit. really need help pls When acceleration is positive does that mean it is always increasing in speed? Evaluate abc2 if a = 3, b = 6 and c = 8. .002 centimeters=_____ mm Help? Count how many articles (both definite and indefinite) you can find in the paragraph below. It mayhave changed from the last time you read it! Give your answer in Spanish!Simba es un cachorro de Len y sucesor a el trono, algo que no le gusta a su to Scar y por lo 1 pointque prepara un plan para ocupar el trono. Con la ayuda de tres malvadas y tontas hienas,Scar urde una treta en la que su hermano y rey Mufasa muere y que provoca que Simba creaque ha sido por su culpa y decida huir a la selva despus de que las tres hienas quisieranmatarlo tambin. All conoce a un suricato llamado Timn y a un facquero llamado Pumba,que le adoptaran y, adems de entablar amistad, le ensean la filosofa de vivir sinpreocupaciones: Hakuna Matata. Mientras tanto, su to Scar toma el trono y todo el mundocree que Simba ha muerto... What is the area of the pentagon shown? Match the terms to their definitionthe number of individual organisms born into a population in a given yearthe movement of individuals out of a populationthe number of individual organisms that die in a population in a given yearthe movement of individuals into a populationDONE Which best describes friction? A. a downward pull when objects fall through the air B. a constant force that acts on objects that rub together C. a downward pull on objects that roll on bumpy surfaces D. a constant force that pulls two objects toward each otherPLSSS I NEED HELP 20 POINTS!!! PLEASE HELP! How did Utopians feel about war? Why? 5. Write the following as a decimal: Forty-three thousandths0.0430.4343,0000.0043 Steve Forbes ran for US president in 1996 and 2000 on a platform proposing a 17% flattax, that is, an income tax that would simply be 17% of each tax payer's taxableincome. Suppose that Alice was single in the year 2016 with a taxable income of $40000.a) What was Alice's tax? Use Tax table on page 292.b) If the 17% flat tax proposed by Mr. Forbes had been in effect in 2016, whatwould Alice's tax have been? The body works to maintain homeostasis in response to what conditions? How do you understand "human person?" and why is the soul so important in human life? Sarah launches her purse straight up in air with a velocity of 30.2m/sHow high will it go?