A train leaves Chicago for Los Angeles going a constant rate of 40 MPH. Two hours later, another train leaves Chicago for Los Angeles on the same track as the first going a constant rate of 60 MPH.

1. When will the 2nd train catch up to the first train?

2. How many miles will the trains have traveled when they meet?

Answers

Answer 1

Answer:

1 . 4 hrs , 2 . total 400 miles because the first train had travelled 160 miles and 2nd one had travelled 240 miles

Step-by-step explanation:

in 1. use relative motion concept I. e. you sir on 1st train and put velo. of same mag. and in oppo. direction on the train on which you have sit and do the same with the velocity only with 2nd train means you stop the train on which you are sitting and put the velocity of the train on which you are sitting on 2nd train but in oppo. direction , so now the relative velocity comes out to be 20 mph and then apply formula time = Srel / Vrel and here we can find S rel by multiplying the velo. of 1st train by given time I. e. 2 hrs and in 2. multiply the time calculated by us by the velocity of both trains and by which you get the dist. travelled by both trains and then add them to get final answer.


Related Questions

Write 4/33 as a decimal step by step please

Answers

Answer:

0.12121212121212

Answer:

0.12121212...

Step-by-step explanation:

4÷33

Please help with questions 4,5 and 6!

Answers

Answer:

Step-by-step explanation:

4) ∠CTB , ∠PTA are vertical angles

If sum of two angles add up to 90, then they are Complementary angles.

If sum of two angles add up to 180, then they are Supplementary angles.

∠FTA and ∠ATR are supplementary angles

5) ( 1 , 2 )  & (3 , 6)

[tex]Midpoint=\left(\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2}\right)[/tex]

                [tex]= \left(\dfrac{1+3}{2},\dfrac{2+6}{2}\right)\\\\=\left(\dfrac{4}{2} \ , \dfrac{8}{2}\right)[/tex]

             [tex]\=\left(\dfrac{4}{2},\dfrac{8}{2}\right)[/tex]

             = (2 , 4)

6) Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

                  [tex]=\sqrt{(3-1)^{2}+(6-2)^{2}}\\\\=\sqrt{2^{2}+(4)^{2}}\\\\=\sqrt{4+16}\\\\=\sqrt{20}\\\\= 4.47[/tex]

what is x when the tangent of 25 equals x over 11?

Answers

Answer:

x  =  5.12938423

Step-by-step explanation:

Solve for  x   by simplifying both sides of the equation, then isolating the variable.

i need help with atleast 2 of these questions pls

Answers

Answer:

Below.

Step-by-step explanation:

(a) Over the first 5 seconds rate of change of speed

= (9-1)/5

= 8/5

= 1.6m/s^2

(b) (21-9)/16-t) = 2

12/16-t = 2

32 - 2t = 12

32 - 12 = 2t

20 = 2t

t = 10 seconds

Step-by-step explanation:

Total Time Taken = 16secs

10a). We're asked to calculate the rate of speed change for the first 5secs.

This is another way of saying "Calculate Acceleration" in the first 5sec of Motion.

Why?

Acceleration is the rate of change of speed or the rate at which speed changes.

acceleration = v - u/t

where v = Final Speed

u = initial Speed.

Looking at the graph

You see that

Initial speed(u) = 1m/s

Final Speed(v) = 9m/s

t = 5secs

Acceleration = 9 - 1/ 5

a = 8/5

a = 1.6m/s².✅

10b)

We're asked to calc "t" from the graph.

Given that the acceleration at "t" untill 16sec(end of motion) is 2m/s².

This simply means that Constant Acceleration was held from "t" to the end of the Motion.

Do not confuse Constant Acceleration for Constant Velocity.

At Constant Velocity... Acceleration is zero(0)

At Constant Acceleration...Velocity Changes Uniformly or at the same rate each second and this is what we're dealing with in this question.

Taking the same step as we used in calculating acceleration above

Given a= 2m/s²

a = v - u/∆t

Where ∆t means time change or difference.

From "t" to 16

The change in time is 16 - "t"

2 = 21 - 9/( 16 - t)

2 = 12/16-t

16-t = 12/2

16 - t = 6

t = 16 - 6

t = 10secs.✅

Have a great Day!.

What is 5 2/3 in radical form?



Answers

5^(2/3)=25^(1/3)
Third one ( the one below your selection)

A rectangular box contain 782 apples. If there are 23 rows in a box, how many columns are there?
Select one:
O a. 23
O b. 34
O c. 35
O d. 40

Answers

Answer:

34343434343434343434

Tavon has a gift card for $110 that loses $2.50 for each​ 30-day period it is not used. He has another gift card for $90 that loses $2 for each​ 30-day period it is not used.
a. Write and solve an equation for the number of​ 30-day periods until the value of the gift cards will be equal.
b. What will the value of each card be when they have equal​ value?

Answers

30 day period

The first equation is 50 - 2x (because you start with $50 and subtract 2 for each 30 day period)

The second equation is 40-1.5x

Set them equal to each other:  50 - 2x = 40 - 1.5x

Solve for x:

50 - 2x = 40 - 1.5

  +2x   +2x

50 = 40 + 0.5 x

-40   -40

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

10 = 0.5 x

20 = x

So there will be 20 30-day periods until the cards will be equal in value.

Check:  After 20 periods, 50 - 2(20) = $10 left

40 - 1.5(20) = also $10 left

The equations are y = 110 - 2.5x and y = 90 - 2x. Then the value of each card, when they have equal​ value, will be $10.

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Let x be the number of days and y be the value of the card.

Tavon has a gift card for $110 that loses $2.50 for each​ 30-day period it is not used. He has another gift card for $90 that loses $2 for each​ 30-day period it is not used. Then the equations will be

y = 110 - 2.5x    ...1

y = 90 - 2x       ...2

From equations 1 and 2, we have

110 - 2.5x = 90 - 2x

20 = 0.5x

x = 40

And the value of y will be

y = 110 - 2.5(40)

y = 110 - 100

y = $10

The equations are y = 110 - 2.5x and y = 90 - 2x. Then the value of each card, when they have equal​ value, will be $10.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

even more math.......

Answers

Answer:

A

Step-by-step explanation:

We don't know the height of the building, and it's changeable because we multiplied it by 1/2, also, the rest of the values are revealed, so the answer is A.

YOU WILL GET 50 OR 100 POINTS TO THE FIRST PERSON TO ANWSER!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Antonio circled 72, 78, 84, and 90 on a hundreds chart. If Antonio continues his pattern, what two numbers will be next in the pattern?

Answers

Answer:

96, 102

Step-by-step explanation:

We can observe the numbers 72, 78, 84, 90 form an arithmetic sequence with common difference of 6.

It can be continued by adding 6 to the last number:

90 + 6 = 9696 + 6 = 102

72,78,84,90..are in AP

a=72d=6

[tex]\\ \rm\longmapsto a_5=72+4(6)=72+24=96[/tex]

[tex]\\ \rm\longmapsto a_6=72+5(6)=72+30=102[/tex]

RS = 3y + 3, ST = 2y + 7, and RT=-10y-10

Answers

Answer: y = -4/3

Explanation:

RS + ST = RT
3y + 3 + 2y + 7 = -10y - 10
5y + 10 = -10y - 10
15y = -20
y = -20/15
y = -4/3

g(x) = f(x) +2
if f(x) is 2x

Answers

Answer:

You didn't put the question well but if I am right, the question is asking of g(x) if f(x) is 2x.

then g(x)=2x+2

if 3/4 part of the distance between two places is 45 km find the distance between the places.​

Answers

Let distances be x

ATQ

[tex]\\ \rm\hookrightarrow \dfrac{3}{4}x=45[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{3x}{4}=45[/tex]

[tex]\\ \rm\hookrightarrow 3x=45(4)[/tex]

[tex]\\ \rm\hookrightarrow 3x=180[/tex]

[tex]\\ \rm\hookrightarrow x=\dfrac{180}{3}[/tex]

[tex]\\ \rm\hookrightarrow x=60[/tex]

I need a step by step correct answer bc i need to get in this college please help :(

Answers

Answer:

please mark me brainliest

Step-by-step explanation:

-6÷3×2+3÷3

using Bodmas(bracket of division multiplication addition and subtraction)

-2×2+1

-4+1

-3

A box of cereal states that there are 90 calories in 3/4 cup serving. How many calories are there in 4 cups of the cereal

Answers

Answer:

480

Step-by-step explanation:

Let x be the calories in 4 cups

Set it up

[tex]\frac{90}{\frac{3}{4}}=\frac{x}{4}[/tex]

Step 1: Switch sides

[tex]\frac{x}{4}=\frac{90}{\frac{3}{4}}[/tex]

Step 2: Apply fraction rule

[tex]\frac{x}{4}=\frac{90\cdot \:4}{3}[/tex]

Multiply

[tex]\frac{x}{4}=\frac{360}{3}[/tex]

Divide

[tex]\frac{x}{4}=120[/tex]

Step 3: Multiply both sides by 4

[tex]\frac{4x}{4}=120\cdot \:4\\\\=480[/tex]

There are 480 calories in 4 cups of the cereal.

93. Let f(x) = 3x - 1 and g(x) = x + 5. Evaluate the following limits. (a) lim x→3 f(g(x)]
(b) lim x→3 g[f(x)]

Answers

Answer:

a) 23 and b) 13

Step-by-step explanation:

I. If f(g(x)) is composit function

Find fog and gof

     fog = 3(g) - 1

           = 3(x+5) -1

           = 3x + 15 -1

           = 3x + 14

    gof = (f) + 5

          = (3x - 1) +5

          = 3x + 4

II. Fill in a) and b) question

            lim x -> 3 fog

           = 3(x) + 14

           = 3(3) + 14

          = 9 + 14

       a)  = 23

            lim x-> 3 gof

           = 3x + 4

           = 3(3) + 4

           = 9 + 4

        b)  = 13

Got more question or something to discuss, leave comment below

What is the segment 7x+5=8

Answers

Step-by-step explanation:

7x - 5 = 8

7x = 8 + 5

7x = 13 (divide both sides by 7 to get x)

7x/7 = 13/7

x = 1.85714285714

Pls help me I’m not very smart

Answers

Answer:

39.90

Step-by-step explanation:

multiply 95x42, ur not smart if you think u arent.

39.90 is the answer keep up the work

The reduce feature on a copy machine is set
at 84%. The picture being copied is 4.5
inches wide. What will be the width of the
reduced picture?

5.35 in.
2.9 in.
3.78 in.
0.72 in.

Answers

Answer:

c) 3.78

Step-by-step explanation:

The price of a printer is $349.00, plus 6% sales tax. What is the sales tax on this printer in dollars and cents?​

Answers

$349.00 x 0.06 (6%) = $20.94 sales tax

The sales tax on this printer is $20.94

What is sales tax?

A sales tax is a consumption tax imposed by the government on the sale of goods and services.

Given that, the price of a printer is $349.00 having a 6% sales tax.

Sales tax = 6% of $349.00

$349.00 x 0.06 = $20.94

Hence, the sales tax on this printer is $20.94

For more references on sales tax, click;

https://brainly.com/question/29442509

#SPJ6

a rectangular field has a length of 485 meters and a width of 155 meters how much would it cost to fence the field at £14 a meter

Answers

Answer:

£17920

Step-by-step explanation:

total length of the field = 2(155+485) = 1280m

cost = 1280 * 14 = 17920

I really need help because I’m so confused where to start and it’s due tomorrow :(

Answers

Answer:

1. 8t+4v

A.9v+7t+6

S.14v+7t

Which expression is equivalent to 7.90 + 8.5 + 8.60 + 1.3?
O 16.4u + 9.9
0 -0.7u + 9.8
Submit Answer
O 16.54 + 9.8
0 -0.74 + 7.2
о

Answers

Answer:

[tex]⚪ \: \: 16.5u + 9.8[/tex]

Step-by-step explanation:

[tex]7.9u + 8.5 + 8.6u + 1.3 \\ = (7.9 + 8.6)u + 8.5 + 1.3 \\ = 16.5u + 9.8[/tex]

A motorboat travels 275 kilometers in 5 hours going upstream. It travels 405 kilometers going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current?

Answers

Step-by-step explanation:

[tex]275 \times 5 = 1375 [/tex]

The rate of the motorboat on still water is 1375

[tex]405 \times 5 = 2025[/tex]

The current rate of the motorboat is 2025

What are the missing numbers on the two number lines?

Answers

Answer:

C is -14, 7, 14, 28

not sure what D is

Step-by-step explanation:

Find the Product.
1.45 X 3.8-

Answers

Answer:

the answer for this question is 5.51

Scils Practice convert the following factions into decimals. You must show your work.


How can I turn the fraction 3/12 into a decimal?

Answers

ANSWER:
0.25

work shown

In the figure MX = NY
MX and NY are parallel.

i) Are the sides of ∠MPX equal to the sides of ∠NPY ?

ii) what is the special about the postion of P on MN

Answers

Answer:

i) yes

ii) it splits MN in half (bisector)

Step-by-step explanation:

We are given that MX and NY are parallel. This means, due to alternate interior angles, <XMN and <YNM are congruent as well as <MXY and <NYX. We are also given MX = NY. This is enough information to prove ΔMPX is congruent to ΔNPY due to ASA(two angles and a side between them).

(i) Now, because of this, we can say that all the sides of ΔMPX are congruent to those of ΔNPY. And, this means MP = NP. Since the point P divides the segment MN into two equal pieces, it's a bisector of MN(splits it in half).

Answer:

YesPoint of intersection

Step-by-step explanation:

SEE the image for solution.

HOPE it helps

Have a great day

Please help!
Please explain your answer because I need to learn this!

Find the measure of angle theta. ​

Answers

Answer:

48.2

Step-by-step explanation:

We have a right angle so we can do our three trig ratios,

Sine Cosine Tangent

Remeber SOHCAHTOA.

We are given some angle theta, and we are given a side adjacent to the angle and the hypotenuse. We are going to use the cosine rule.

[tex] \cos(theta) = \frac{36}{54} [/tex]

[tex] \cos(theta) = \frac{2}{3} [/tex]

Take the inverse of both sides

[tex] \cos {}^{ - 1} ( \frac{2}{3} ) = x[/tex]

Theta is equal to

[tex]48.2[/tex]

Translate to an algebraic expression.
29 more than n

Answers

Answer: n+29
20 letters…

halp please???????????​

Answers

Step-by-step explanation:

[tex]thank \: you[/tex]

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