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

3,047.092 in expanded form.

Answers

Answer:

it would be-3,000.000+40.000+7.00+0.09+0.002

Step-by-step explanation:

Expanded notation form
3,047.092 =

3000
+
0
+
40
+
7
+
0.0
+
0.09
+
0.002


1/2 to the power of 4

Answers

Answer: 1/16 because 1 to the power of anything is the same. 2 to the power of 4 is 16 so 1/16

Answer:

⅛...yo pienso pq creo va de 4 en cuatro

Show that (1 + 2V3)2 = 13 +4V3

Answers

Answer:

(1+2V3)^2=13+4V3

<=> 1 +4V3 +12 = 13+4V3

<=> 1 +12 = 13

<=> 13=13

sorry if i wrong :(

Find h(-1) if h(x) =- 3|3x – 6|– 3?

Answers

Answer:

Step-by-step explanation:

h(-1) = - 3|3(-1) - 6| - 3

h(-1) = - 3|-3 - 6| - 3

h(-1) = - 3|-9| - 3

h(-1) = - 3(9) - 3

h(-1) = - 27 - 3

h(-1) = - 30

Express the fraction 2/3, 3/4,5/6

Answers

Answer:

The required fractions for 2/3, 3/4, and 5/6 with a denominator of 12 are 8/12, 9/12, and 10/12 

Answer:

8/12, 9/12, and 10/12

Step-by-step explanation:

Graph and find the area of the figure with vertices (−3, −2), (−2, 1), (1, 1), (0, −2).

Answers

Answer:

9 unit²

Step-by-step explanation:

The points are plotted and the figure is a parallelogram with base and height both of 3 units long.

The area is:

A = 3*3 = 9 unit²

If your starting salary is 40,000 and you receive a 3% increase at the end of every year, what is the total amount, in dollars, you will earn over the first 16 years that you work?

Answers

Answer:

$64188.26

Step-by-step explanation:

→ Calculate the increase in decimal multiplier

( 100 + 3 ) ÷ 100 = 1.03

→ Multiply this by the salary raised to the power of 16

40000 × ( 1.03 )¹⁶

→ Solve

$64188.26

Answer:

$806275

Step-by-step explanation:

type it exactly like that, ap*x

please help will give brainliest
options are
w=v/lh
w=lh/v
w=vl/h
w=vm/l

Answers

Answer:

B

Step-by-step explanation:

Answer

BBBBBBBBBBBBBBB

Step-by-step explanation:

HELP I DONT WANT A 0000

Answers

Step-by-step explanation:

=(5+8)hours

=12hours.

P(x) = 4x3 + 5x + 9, D(x) = 2x + 1

Two polynomials P and D are given. Use either synthetic or long division to divide
P(x)
by
D(x),
and express P in the form
P(x) = D(x) · Q(x) + R(x)

Answers

Records on my fingers and I just can’t stop done done done

fay has a lemonade stand. She spends £25 on ingredients. She sells each glass of lemonade for £1.50. If she sells 40 glasses of lemonade, what is her total profit?

Answers

her total profit is £35

40x1.50= 60 60-25= 35

solve pls brainliesttt

Answers

Answer:

-343

-125

Here you go

Answer:

1. -343

2. 25

3. v+21=47   v= 26

Step-by-step explanation: Hope this helps!

Does anyone know this?

Answers

Answer:

Simple as 3x + 1

The answer above is correcttttttt

A well-defined collection of elements is a(n)

Answers

Answer:

A well-defined collection of elements is a set.

What are your realizations after watching the video about Nature By Numbers By Cristobal Vila

Answers

Bacchae be cccdhjkgg here at the end of your life if

A right triangle is shown below.
45°
3 units
What is the tan of x?

Answers

Answer:

Tan x = 1

Step-by-step explanation:

As a tangent of 90° is impossible, x must be the measure of both of the 45° angles.

If we assume 3 is the length of one of the shorter legs, it is also the length of the other of the shorter leg

Tangent x = Opposite/Adjacent = 3/3 = 1

HELP MME WITH THIS PLEASE

Answers

Answer:

0.84

Step-by-step explanation:

21/25 is equal to 0.84.

Hopefully this helps!

Brainliest please?

It’s C
0.84
That is the answer so give me brainlest!

A new blu-ray player costs $80.99 in the store. What would your total cost be if the sales tax is 5.5%? Round your answer to the nearest cent, if necessary.​

Answers

Answer:

445.445

Step-by-step explanation:

because I did it and I got it right

Answer: 85.44

Step-by-step explanation: 80.99*0.055

put the boxes in the correct place given equation is first to let you know

Answers

When converted to a household measurement, 9 kilograms is approximately equal to a

OMG I NEED HELP BADLY RN


In which quadrant does the point (3 , 19) lie?

A.
Quadrant I

B.
Quadrant II

C.
Quadrant IV

D.
Quadrant III

Answers

Answer:

Quadrant I

Step-by-step explanation:

There are four quadrants that go like this.

Quadrant I = Top Right

Quadrant II = Top Left

Qudrant III = Bottom Left

Quadrant IV = Bottom Right

As long as you can graph an equation you just need to remember the quadrants.

Sophia wants to buy a new bike that cost $214.Sophia helps her grandmother with chores each week for $18.estimate to find which layaway plan Sophia should choose and why

Answers

Answer:

Im not sure what your asking but I think it's How many weeks it will take for her to be able to buy the bike It will take 12 weeks 18 x 12 = 216 which means she will have 2 dollars left over when shes buys it aswell.

Answer:$394

Step-by-step explanation:

a
A consultant earns a flat fee of $75 plus $50 per hour for a contracted job.
The table shows the consultant's earnings for the first four hours she works.
Hours 0 1 2 3 4
Money $75 $125 $175 $225 $275
The consultant has a 36 hour contract .how much will she earn

Answers

Step-by-step explanation:

y=75+50(36 hours)=1875

give me brainliest

Which will have a higher effective interest rate - a payday loan for $1500 that
is due in 12 days with a fee of $90, or a payday loan for $1500 that is due in
10 days with a fee of $90?
а
a
O A. A payday loan for $1500 that is due in 12 days with a fee of $90,
since it has the longer period
O B. A payday loan for $1500 that is due in 12 days with a fee of $90,
since it has the shorter period
о
C. A payday loan for $1500 that is due in 10 days with a fee of $90,
since it has the longer period
D. A payday loan for $1500 that is due in 10 days with a fee of $90,
since it has the shorter period

Answers

The higher effective interest rate is for A payday loan for $1500 that is due in 10 days with a fee of $90, since it has the shorter period, the correct option is B.

What is Interest Rate?

An Interest Rate is the rate at which a person either takes a loan, or a person lends money to somebody.

The interest rate is different for different types of loans, some interests are simply calculated on the principal, called as Simple Interest while some are calculated on both the principal and the interest, called as Compound Interest.

A payday loan has principal of $1500

It is due in 12 days, so time period is 12 days.

The interest amount is $90

I = P * R *T / 100

90 = 1500 *12 *R /100

R = 0.5 %

A payday loan has principal of $1500

It is due in 10 days, so time period is 10 days.

The interest amount is $90

90 = 1500 *10 *R /100

R = 0.6 %

The rate of interest  is more for a payday loan for $1500 that is due in

10 days with a fee of $90.

Hence, the correct answer is A payday loan for $1500 that is due in 10 days with a fee of $90, since it has the shorter period, the correct option is B.

To know more about Interest Rate

brainly.com/question/13324776

#SPJ1

Find the measure of the angle with the red dot (NOT X.)
Picture Included. Thank you!

Answers

Step-by-step explanation:

I can't see picture very well but as I see first angle is

-4x+5 and second is -13x+39 ( if it isn't, correct me)

sum of this angles is 180° because they are inner angles

(-4x+5) + (-13x+39) = 180

-4x+5 -13x+39=180

-17x+44=180

-17x = 180-44

-17x= 136

x= -8

angle -4x+5 will be:

-4*-8 + 5= 32+5= 37°

Let p and q Represent the following statement

Answers

Answer:

symbolic representation :negation q (~q)

plz mark me brinest

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

Answers

Answer:

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

Suppose a car travels at a rate of 60 miles per hour for 3 hours. How many miles does the car travel?

UPDATE IM DUM IT 180

Answers

Ok lol I was going to put 180 but if you got it than that’s fine.

Answer:

thanks

Step-by-step explanation:

If f(x) = –2x3, g(x) = 3x – 5, and h(x) = x – 1, what is f(g(h(3)))?
–129
–54
–53
–2

Answers

Answer:

[tex]f(x) = - 2 {x}^{3} \\ g(x) = 3x - 5 \\ h(x) = x - 1 \\ g(h(x)) = 3(x - 1) - 5 \\ = 3x - 3 - 5 = 3x - 8 \\ f(g(h(x)) )= - 2 {(3x - 8)}^{3} \\ f(g(h(3)) )=- 2 {(3(3) - 8)}^{3} \\ = - 2 {(9 - 8)}^{3} \\ f(g(h(3)) )=- 2[/tex]

What property of addition is illustrated in the equation below.

Answers

distributive in mathematics, the distributive property of binary operations generalizes the distributive law. A expression of this would be: a(b+c)=ab+ac.

use the numbers -4,-1,3/2 or 2/3 to write an expression brainly

Answers

Answer:

4x1 divide 2 minus 3 plus 2

Step-by-step explanation:

I think

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