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

Is the following rational or irrational?

Square root 16

Square root 12

12/5

0.36274959282619

Answers

Answer:

rational

irrational

rational

rational

Step-by-step explanation:

Square root 16 = 4 rational since it can be written as a fraction of integers

Square root 12 = 2 * sqrt(3) irrational since sqrt(3) is irrational

12/5 rational since it is a fraction of integers

0.36274959282619 rational since it is a terminating decimal

2 questions
***************

Answers

Step-by-step explanation:

1) As U is the mid point of TV ,it divides the whole line in two equal parts:

TV=TU+UV

TU=UV

Subtitute values:

5x+6=23+23

5x+6=46

5x=46-6

5x=40

x=40/5

x=8

2) Q is mid point of PR so PQ=QR

PR=PQ+QR

15x-29=6x-1+6x-1

15x-29=12x-2

15x-12x=29-2

3x=27

x=27/3

x=9

Note:if you need to ask any question please let me know.

​Quadrilateral ABCD​ is inscribed in this circle.
What is the measure of angle C?
Enter your answer in the box.

Answers

Answer:

C = 80

Step-by-step explanation:

A cyclic quadrilateral is one where all 4 vertices touch the circumference of a circle.

It has 1 interesting property that should concern you: <B + <D = 180 degrees.

3x - 59 + 2x - 1 = 180          Combine like terms

5x - 60  = 180                     Add 60 to both sides.

5x = 180 + 60

5x = 240

x = 240/5

x = 48

Now go to 2x + 4.

x = 48

A = 2*48 + 4

A = 96 + 4

A = 100

So C = 180 - 100

C = 80

Round your answer to the nearest hundredth​

Answers

Answer:

200

Step-by-step explanation:

90-35=125

180-125=55

55x4=220

220= 200

Ray has gone 3/5 of a kilometre. How many metres has he gone?

Answers

Step-by-step explanation:

3/5 of a kilometre

=3/5×1000 meters

=3000/5 meters

=600 meters

Answer:

600 metres

Step-by-step explanation:

1 kilometre equals 1,000 metres.

[tex]\frac{3}{5}[/tex](1000) = 600 metres

If you need more clarification, ask me in the comments. Thanks!

10 +6.1n 8 + 6.3n
What is N

Answers

Answer:

30.4n

Step-by-step explanation:

10+8+6.3n+6.1n

18+12.4n

30.4n

Y=8x use this calculate y when x = 30

Answers

Answer: y is 240

Step-by-step explanation:

PLS HELP!!!! I solved these but i dont know how to show my work...

Answers

use Microsoft math and take a picture of each problem and it shows the work u will thank me later :)

Which function is graphed?

Answers

Answer:

B.

Step-by-step explanation:

ik just trust because first one is less than so its undefined and the other is less then or equal to

Note that all answers have the same functions. The difference in the answers is where those functions are happening.

The parabola (x^2+4) happens for x-values less than 2. “Less than” because of the open circle at x=2.

The line (-x+4) happens for x-values greater than or equal to 2. “Greater than or equal to” because of the closed circle at x=2.

The answer that matches these is B.

Q. An Umbrella is made by stitching 10 triangular peices of cloth to two different colours, each piece measuring 20cm, 50cm & 50cm. Show much cloth of each colour is required for the umbrella?
Plz answer fast for thanks and brainliest.​

Answers

Answer:

1000

[tex]1000 \sqrt{6} [/tex]

Step-by-step explanation:

Given: Dimensions of each triangular piece used in umbrella.

Reasoning: By using Heron’s formula, we can calculate the area of a triangle.

Heron's formula for the area of a triangle, Area = √s(s - a)(s - b)(s - c)

Where a, b, and c are the sides of the triangle, and

s = Semi-perimeter = Half the Perimeter of the triangle = (a + b + c)/2

We know that umbrella is made of 10 triangular pieces of cloth of two different colours.

Let us calculate the area of one triangle.

For each triangle, a = b = 50 cm, c = 20 cm

Semi Perimeter

s = (a + b + c)/2

= (50 + 50 + 20)/2

= 120/2

= 60 cm

By using Heron’s formula,

Area of triangle = √s(s - a)(s - b)(s - c)

= √s(s - a)(s - b)(s - c)

= √60(60 - 50)(60 - 50)(60 - 20)

= √60 × 10 × 10 × 40

= 200√6 cm2

Therefore,

Area of 10 triangular pieces = 10 × 200√6 cm2 = 2000√6 cm2

Hence, cloth required for each colour = (Total area of the cloth)/2

= (2000√6)/2

= 1000√6 cm2

Thus, 1000√6 cm2 cloth of each colour is required for the umbrella

Can you please answer this?

Answers

Step-by-step explanation:

plan a 40dollars

plan b 30 dollars

plan b cost less

Mark me brainliest plsss

- Judy wrote a check for $63, then made a deposit
of $ 110. What was the overall chang to her
Account.

Answers

Answer:

$47

Step-by-step explanation:

110-63=47

Answer:

+$47

Step-by-step explanation:

As you are calculating for change, assume that the bank account has $0.

Judy wrote a check for $63, or she withdrew $63:

0 - 63 = -63.

Next, she deposited $110, or she added $110:

-63 + 110 = 47

The over all change to her account is a net profit of +$47.

~

What is the sum of all the positive integers from √24 to √102

Answers

Answer:

[tex] \sqrt{24} = 4.9[/tex]

[tex] \sqrt{102} = 10.1[/tex]

positive integers = x

4.9 < x < 10.1

x = 5, 6, 7, 8, 9, 10

sum = 5 + 6 + 7 + 8 + 9 + 10

= 45

What letter stays the same when reflected over the x-axis

Answers

When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.p explanation:

What is the answer to
5 - ( - 12 )

Answers

Answer: 17

Step-by-step explanation:

since there are two minuses, you change them to a plus and add, ending up with 5+12 to get 17

10 fewer than the difference of 8 and w? PLEASE HELP GETS BRAINLY 5 STARS AND A LIKEEEE!!!!!!!!!

Answers

Answer:

(8-w)-10

so -w-2

if w is a variable... sorry this answer is just for reference

Step-by-step explanation:

how many numbers are there between 256 and 789 that are divisible by 7​

Answers

Answer:

76

Step-by-step explanation:

How many numbers are between 256 and 789 are divisible by 7 ?

Generalizing, we could look for a procedure that, given two integers A and B, with B>A , and a module M, tells us how many integers x, with A<=x<=B , are divisible by M.

a) let n1 be the lowest integer >=A such that n1 is divisible by M.

If n1>B , than not even n1 has the required properties and the output of the procedure is 0; otherwise, go to the next step.

n1 will be the first number of the sequence of numbers divisible by M.

b) let n2 be the highest integer <=B such that n2 is divisible by M.

Notice that it’s not possibile that n2<A , as you alway have the possibility n2=n1 .

n2 w

A simple way to think about this is by calculating the largest multiple of 7 less than 256 (let’s call it y) and the smallest multiple of 7 greater than 789 (let’s call it x). The answer is then all the multiples of 7 in between these two numbers, which can be represented by:

x−y7−1

Let’s do it:

252 is the largest number less than 256 divisible by 7. y = 252

791 is the smallest number greater than 789 that’s divisible by 7.

Thus, our answer is 113-36–1 = 76.

Note: we subtract 1 or else we would include the number on the top end of the range (in this case, 791).

Hope it helped you!!

Pls mark me the brainliest :)

which of the following are geometric sequences?
a: 5,10,20,40,80,160
b: 3,6,9,12,15,18
c: 10,5,2.5,1.25,0.625,0.3125
d:1,3,9,27,81

Answers

Answer:

A, C, D

Step-by-step explanation:

This is because the ratio between te consecutive terms are constant, that is ×2, ×0.5 and ×3 respectively

Simplify each expression completely.
7[3+2(x-4)-6(x-4)]

Answers

Answer:

21 + 14x - 56 - 42x + 168

= 133  - 28x

Step-by-step explanation:

Answer:

19 - 4x

Step-by-step explanation:

[tex]3 + 2(x - 4) - 6(x - 4)[/tex]

[tex]3 + 2x - 8 - 6(x - 4)[/tex]

[tex]3 + 2x - 8 - 6x + 24[/tex]

[tex]19 + 2x - 6x[/tex]

[tex]19 - 4x[/tex]

Which of the following sets contains multiples of six?

{1, 6}

{2, 3}

{4, 9}

{12, 18}

Answers

D, because it is the only one that contains multiples. All others contain factors.

If you have any doubts plz let me know.

what is n (AUB) if (A)=25,n(B) = 10 and BCA

Answers

Answer:

35

Step-by-step explanation:

It is in the above photo .

What is 1,025 divided by 68

Answers

Answer:

15.07352941

Step-by-step explanation:

in short 15.07

Work out the value of (312 ÷ 35) ÷ (32 × 3)

Answers

Answer:

[tex](312 \div 35) \div (32 \times 3) \\ \\ 8.914 \div 96 \\ \\ = 0.09[/tex]

Help please I truly appreciate it

Answers

Answer:

-12

Explanation:

2x + 8y

x = -7 and y = -1/4

plug in values of x and y

2(-7) + 8(-1/4)

multiply 2 and -7

-14 + 8(1/4)

multiply 8 and 1/4

-14 + 2

add

=-12

Answer:

2(-7)=8(1/4)

-14+8x1/4

-14+8/4

-14+2

-12

Step-by-step explanation:

-5n-4(-7-4n)=36+7n

What is N?

Answers

Answer:

n=2

Step-by-step explanation:

-5n-4(-7-4n)=36+7n

Distribute

-5n +28 +16n = 36+7n

Combine like terms

11n +28 = 36+7n

Subtract 7n from each side

11n+28-7n = 36+7n-7n

4n+28 = 36

Subtract 28 from each side

4n+28-28 = 36-28

4n = 8

Divide by 4

4n/4 = 8/2

n=2

what is the fraction 3/5 written as a Percent

A. 6%
B. 30%
C. 60%
D. 167%

Answers

Answer:

60%

Step-by-step explanation:

percent means out of 100

3/5 * 20/20

60/100

60 %

Answer:

C. 60%

Step-by-step explanation:

Can anyone help?
If f(x)=3^x, prove that f(x) + f(x+1)= 4f(x)

Answers

Answer:

[tex]f(x) = {3}^{x} \\ f(x +1) = {3}^{(x + 1)} \\ f(x) + f(x + 1) \\ = {3}^{x} + {3}^{(x + 1)} \\ = {(1 \times 3}^{x} ) +( 3 \times {3}^{x} ) \\ By \: taking \: {3}^{x} \: common, \: we \: get \\ (1 + 3) \times {3}^{x} \\ = 4 \times {3}^{x} \\ = 4f(x)[/tex]

f(x)+f(x+1)=4f(x), when f(x)=3^x Hence proved

the temperature for the first 4 days in january was -2 degrees

the mean temperature for the first 5 days in january was 0 degrees

what was temperature on the 5th day ?
URGENT

Answers

let's assume the temperature on 5th day be x

We know that :

[tex] \boxed{mean = \frac{sum \: \: of \: all \: \: observations}{number \: \: of \: \: observations} }[/tex]

So,

[tex] \hookrightarrow \: 0 = \dfrac{ - 2 + ( - 2) + ( - 2) + ( - 2) + x}{5} [/tex]

[tex] \hookrightarrow \: 0 \times 5= - 2 - 2 - 2 - 2 + x[/tex]

[tex] \hookrightarrow \: 0 = - 8 + x[/tex]

[tex] \hookrightarrow \: x = 8[/tex]

Therefore, temperature on the fifth day was x = 8

6) find HJ
8)find IK

Answers

Answer:

HJ = 17

IK = 30

Step-by-step explanation:

to find HI :

GH : 2

HI : ?

IJ : 12

GI : 7

HI = GI - GH

HI = 7- 2

HI = 5

HI + IJ = HJ

5 + 12 = HJ

17 = HJ

To find IK

IJ = ?

JK = 12

KL = ?

IL = 49

JL = 31

To find IK we need to find KL and IJ

KL = JL - JK

KL = 31 - 12

KL = 19

IJ = IL - (JK + KL)

IJ = 49 - 31

IJ = 18

IK = IJ + JK

IK = 18 + 12

IK = 30

-3, 31, 11, 5.5, -60/-11
Order From least to greatest

Answers

Answer:

-60,-11,-3,5.5,11,31

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