Suppose two trains leave a certain station, at the same time, traveling in opposite directions. One train travels 30 mph faster than the other. In 2.5 hours, the trains are 205 miles apart. Find the speed of each train


Answers

Answer 1

9514 1404 393

Answer:

  56 mph, 26 mph

Step-by-step explanation:

The trains are separating at the rate of (205 mi)/(2.5 h) = 82 mi/h. If we let s represent the speed of the slower train, then that sum of their speeds is ...

  s + (s+30) = 82

  2s = 52 . . . . . . . . . . subtract 30

  s = 26 . . . . . . . . . divide by 2

  s +30 = 56 . . . the speed of the other train

The speeds of the two trains are 56 mph and 26 mph.


Related Questions

True or false? Please help.​

Answers

Answer:

True

Step-by-step explanation:

Vertical angles are angles that essentially opposite of eachother. Vertical angles are a pair of opposite angles formed by intersecting lines.

Answer:

True

Step-by-step explanation:

Vertical angles are angles that essentially opposite of eachother. Vertical angles are a pair of opposite angles formed by intersecting lines.

Charles has read 180 pages of a book. This is of the total number of pages in the book. If p represents the number of pages in the book, what is p?

Answers

Answer:

More than 180. It needs more info to have an actual answer.

Answer: I believe it would be 180 considering he has 180 pages in a book and you wanna know how many pages he has it would be 180 hoped this helped love ✨

Step-by-step explanation:

HELP!!!!! Someone answer ASAP PLEASE!!!!

Answers

Answer:

thay are independent

Step-by-step explanation:

I only know that they are independent but Don't really know how to explain and do step by step.

Answer:

a, =to 13 and B, is to 45 and C,13 D, 14 of tells

p=(m+n)/-5 solve for n

Answers

n= -5p - m

dis is 20 characterrs now

find the value of x 4x + 3 = -5x + 21​

Answers

4x + 3 = -5x + 21

9x + 3 = 21

9x = 18

x = 2

Hope this helps!! :)

Answer:

x=2

Step-by-step explanation:

4x + 3 = -5x + 21

add 5x on both sideswhich will get u to 9x +3 = 21subtract 3 from both sideswhich will get u to 9x = 18divide 9 from both sides and the answer is x = 2

Express (x + 2)² + 9 = 0 in standard form

Answers

Formula = (a + b)^2 = a^2 + 2ab + b^2

x^2 + 4x + 4 + 9 = 0
x^2 + 4x + 13 = 0

Answer:

x^2+4x+13=0

Step-by-step explanation:

I'm 100% certain this is right. Have a good day/night wherever you are! :D

5 less than two times 'm'​

Answers

Answer:

[tex]5 < 2m[/tex]

Step-by-step explanation:

Please mark as Brainliest if this answer helped you! :)

(if you need it written in numbers as an expression, I hope this will help! The other answer interpreted it as an inequality, so hopefully one of these gives you the answer you are looking for!)

5 less than two times 'm'​

               \/

two times 'm'​ minus 5

       \/                \/

2m                   -5

            \/

      2m - 5

how many feet in 2/5 of a mile

Answers

1 mile is equal 5280 feet. So 2/5 of a mile is 2/5*5280=2112 feet.

The answer is 2112.

Lauren bought x boxes of cookies to bring to a party. Each box contains 12 cookies.
She decides to keep two boxes for herself. She brings 60 cookies to the party. Write
an equation that can be used to find the number of boxes, x, Lauren bought.

Answers

Answer:

12x-2=60

Step-by-step explanation:

since there are 12 cookies per box, u could multiply it by x boxes, and since she kept 2 you would need to subtract it from your total.

Last year Kaitlin opened an investment account with $7600. At the end of the year, the amount in the account had increased by 6.5%. How much is this increase in dollars? How much money was in her account at the end of the year

Answers

The increase was: 494

5. The number that is to be divided in a division problem is the
_______________

Answers

Answer:

z I need this in essay form......

Phaeton, who has just discovered that is he is the son of the sun god, pays a visit to his father and makes a special request. In this passage consider how the author uses literary elements such as plot and language to reinforce the theme of the dangers of pride.

Answer:

dividend

Step-by-step explanation:

answer - dividend

Find the difference in area between the circle and the triangle. possible answers are
- A=27pi
- A=4pi-8
- A=9pi-9/2radical 3
- A=16/3pi
- A=16​

Answers

Answer:

jo in no w fo r intelligent bio logy class fo r girl cth-qoqo-xvc

Step-by-step explanation:

A=9pi-9/2radical 3

this is the answer

brainliest please

The path of a baseball is given by the function: f(x)=-0.004x^2 + x + 3

, where f(x) is the height of the baseball (in feet) and x is the horizontal distance from home plate (in feet). Answer the following questions completely. Justify your answers algebraically.

(a) What is the maximum height reached by the baseball?
(b) If the baseball is not caught, how far from home plate does the ball hit the ground? Round your answer to one decimal place.

Answers

Answer:

The initial speed of the ball is  98.22 ft/s

The maximum height of the ball is 75.02 ft.

Step-by-step explanation:

Hi there!

Step-by-step explanation:

The position and velocity vectors of the ball can be calcualted as follows:

r = (x0 + v0 · t · cos α, y0 + v0 · t · sin α + 1/2 · g · t²)

v = (v0 · cos α , v0 · sin α + g · t)

Where:

r = position vector at time t.

x0 = initial horizontal position.

v0 = initial velocity.

t = time.

α = launching angle.

y0 = initial vertical position.

g = acceleration due to gravity (-9.8 m/s² considering the upward direction as positive).

v = velocity vector at time t.

Let´s call r final to the position vector when the ball is caught (see attached figure). The components of r final are:

x = 300 feet

y = 0

Then, r final = (300 feet, 0)

Notice that the origin of the frame of reference is located at the launching point.

Then, when the ball is caught:

300 feet = x0 + v0 · t · cos α

0 = y0 + v0 · t · sin α + 1/2 · g · t²

We have a system of two equations with two unknowns (t and v0), so, let´s solve it.

Let´s solve the first eqation for v0:

300 feet = x0 + v0 · t · cos α

Since the frame of reference is located at the launching point (x0 = 0). Then:

300 feet = v0 · t · cos 45°

300 feet /( t · cos 45°) = v0

Now, let´s replace v0 in the secod equation of the system:

0 = y0 + v0 · t · sin α + 1/2 · g · t²    (y0 = 0)

0 = 300 feet/(t · cos 45°) · t · sin 45° - 1/2 · 9.8 m/s² · t²

0 = 300 feet · sin 45°/cos45° - 4.9 m/s² · t²       (sin45°/cos45° = 1)

0 = 300 feet - 4.9 m/s² · t²

-300 feet = -4.9 m/s² · t²

-300 feet / -16.08 ft/s²  = t²

t = 4.32 s

Now, we can calculate the initial velocity:

300 feet /( t · cos 45°) = v0

300 feet /( 4.32 s · cos 45°) = v0

v0 = 98.22 ft/s

The initial speed of the ball is  98.22 ft/s

To obtain the maximum height of the ball, we have to find at which time the ball is at its maximum height. We can do this in several ways, but we will use the equation of velocity. See in the figure that when the ball is at its maximum height, the y-component of the velocity is zero (because the vector is horizontal). Then, using the equation of the y-component of the velocity:

vy = v0 · sin α + g · t

0 = 98.22 · sin 45° - 32.15 ft/s² · t

(-98.22 · sin 45°) / - 32.15 ft/s² = t

t = 2.16 s

(Notice that this time is half the total time of flight calculated above (4.32 s). This is also the time at which the horizontal distance traveled by the ball is half the total horizontal traveled distance. This is so because the trajectory of the ball is a parabola).

Now that we have the time, we can calculate the y-component of the position vector (r1y in the figure).

r1y = v0 · t · sin α + 1/2 · g · t²

r1y = 98.22 ft/s · 2.16 s · sin 45° - 1/2 · 32.15 ft/s² · (2.16 s)²

r1y = 75.02 ft

The maximum height of the ball is 75.02 ft.

Alec is 3 years older than 11 times the age of his nephew Luke. If A represents Alec's age and L represents Luke's age, which equation is true?​

Answers

Answer:

A = 11L + 3

Hope this Help

A= 11l + 3 trust me i got it right !

The function g(x) = 8|x – 15| - 30 is a transformation of the parent function p(x) = x. Which of the following correctly describes the transformation of function p that generates function g?
A p is translated 30 units down, then has a vertical shrink by a factor of 8, and then is translated 15 units right.
B. p has a vertical shrink by a factor of 8, then is translated 15 units down, and then is translated 30 units left
c. p is translated 15 units left, then has a vertical stretch by a factor of 8, and then is translated 30 units up.
D. p is translated 15 units right, then has a vertical stretch by a factor of 8, and then is translated 30 units down.

Answers

Using translation concepts, it is found that the correct option, which represents the transformation made to function [tex]g(x) = 8|x - 15| - 30[/tex], is given by:

D. p is translated 15 units right, then has a vertical stretch by a factor of 8, and then is translated 30 units down.

The parent function is:

[tex]p(x) = |x|[/tex]

The first transformation was [tex]x \rightarrow x - 15[/tex], which means that it was shifted 15 units to the right.

Then, the function was multiplied by 8, which means that it was stretched vertically by a factor of 8.

Finally, 30 was subtracted from the function, which means that it was shifted down 30 units.

Hence, the correct option is given by:

D. p is translated 15 units right, then has a vertical stretch by a factor of 8, and then is translated 30 units down.

A similar problem is given at https://brainly.com/question/18405655

3
Abox of cereal states that there are 84 calories in a
4
-cup serving. What is the unit rate for calories
per cup? How many calories are there in 4 cups of the cereal?

Answers

Answer:

21 calories per cup

Step-by-step explanation:

4cups↔84calories

1cup  ↔less

1/4x84=21calories

NEVER GOING TO GIVE YOU UP NEVER GOING TO LET YOU DOWN NEVER GOING TO RUN AROUND AND DESERT YOU NEVER GOING TO MAKE YOU CRY NEVER GOING TO TELL A LIE AND HURT YOU OOOOOOOO GIVE YOU UP OOOOOO NEVER GOINT TO GIVE NEVER GOING TO GIVE
[tex]3642164 \times 363.6466 = 666[/tex]
[tex] \infty [/tex]

Answers

Answer:

thank you!

Step-by-step explanation:

If x=8, find the value of y in the equation 4x-2y=28

Answers

Answer:

The answer is 2

Step-by-step explanation:

[tex]4x - 2y = 28 \\ 4 \times 8 - 2y = 28 \\ 32 - 2y = 28 \\ 32 - 28 = 2y \\ 4 = 2y \\ devided \: by \: 2 \\ then \\ y = 2[/tex]

3. Find the slope of the line passing through the points (-4,-8) and (2,-8)

2. Find the slope of the line passing through the points(6,6) and (6,-4)

Answers

Answer:

2. undefined

3. 0

Step-by-step explanation:

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

3.

( x1, y1 ) = ( - 4, - 8 )

Here,

x1 = - 4

y1 = - 8

( x2, y2 ) = ( 2, - 8 )

Here,

x2 = 2

y2 = - 8

Slope = ( - 8 - ( - 8 ) ) / ( 2 - ( - 4 ) )

= ( - 8 + 8 ) / ( 2 + 4 )

= 0 / 6

Slope = 0

2.

( x1, y1 ) = ( 6, 6 )

Here,

x1 = 6

y1 = 6

( x2, y2 ) = ( 6, - 4 )

Here,

x2 = 6

y2 = - 4

Slope = ( - 4 - 6 ) / ( 6 - 6 )

= - 10 / 0

Slope = not defined

Note : -

Any number who denominator is 0 is undefined.

3. What is 11% of $3,000? • A) $250 e B) $300 • C) $380 • D) $350​

Answers

Answer:

$330.00

Step-by-step explanation:

Hey there!

The word ‘of’ in math means multiply

And

11% of 3,000

= 11/100 * 3,000

= 11/100 * 3,000/1

= 11(3,000)/100(1)

= 33,000/100

= 33,000 ÷ 100/100 ÷ 100

= 330/1

= 330

Therefore, the answer is most likely: 330

(NONE of the ABOVE)

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Student football game tickets cost $20 Adult tickets cost $30. Write a function that shows
the total cost for s student tickets and a adult tickets.

Answers

Answer:

Here are the answers for the whole QC for CA students.

1. C

2. A

3. no

4. c

5. A

Step-by-step explanation:

Choose the scientific notation for 800.
O 8 x 10
O 8 x 102
O 8 x 103
O 8 x 100

Answers

Answer:

O [tex]8 * 10^2[/tex]

Step-by-step explanation:

Hope it helps

Peace out

^^ ^-^ :) ;) ~-~

Evaluate - 24-(-18) = 6.

Answers

Answer:

False

Step-by-step explanation:

-24-(-18) is -6 not 6 so it would be untrue

Determine the domain and the range of the relation, and tell whether the relation is
a function.
{(13,2), (18, – 5), (39,2), (13,4), (51,4)}
--
What is the domain and range?

Answers

Step-by-step explanation:

it is NOT a function, because one x value (13) has more than one associated result value (2 and 4). that violates the basic principle of a function.

anyway, the domain is the interval or set of the valid values for x, and the range the interval or set of the valid values for y.

the domain is {13, 18, 39, 51}

the range is {-5, 2, 4}

Please do 3 hurry!!!!

Answers

Here is the answer above. Click to view

Hhhhhhhhhhhhhhhhjjjjjj

Answers

Answer:

8.75 per hour

Step-by-step explanation:

Since it is a linear function we can use the slope formula

m = ( y2-y1)/(x2-x1)

  = ( 370-20)/(40-0)

  =350/40

 = 8.75

Which of the numbers below is greater than zero? Select all that apply.
A)0.8
B)4.5
C)14
D)−2.25
E)−0.5

Answers

your answer is B) 4.5 and C) 14

Jayden walked a total of 12x+5r-8 miles on Monday and Tuesday. If he walked 7x-10r miles on Monday, how
many miles did he walk on Tuesday?

Answers

Answer:

8 Miles on Tuesday

Step-by-step explanation:

Jahden walked (12x + 5r - 8) - (7x -10r) = 5x + 15r - 8 miles on Tuesday.

Pre-calc I'm having a lot of trouble 61 POINTS

Answers

Answer:

See below

Step-by-step explanation:

The points:

{(-5, 6), (-5, 8), (2, 5), (6, 9)}

The domain (set of input values) is:

{-5, 2, 6}

The range (set of output values):

{5, 6, 8, 9}

The relation is not a function because the same input (-5) has two different outputs (6 and 8).

Find YZ and XY so I can put em in the boxes :)

Answers

Answer:

........................

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