Jaden and Dani are both travelling by train.
Jaden's train travels 130 km in 75 minutes.
Dani's train travels 312 km.
It leaves at 15:15 and arrives at 18:30.
Work out the difference, in km/h, between the average speed of their trains.

Answers

Answer 1

Answer:  28.765957 km/hour

This value is approximate. Round it however you need to.

==============================================

Explanation:

Let's convert 75 minutes to hours.

75 min = (75 min)*(1 hr/60 min) = (75/60) hr = 1.25 hr

So Jaden's train takes 1.25 hours to travel 130 km. Her train's speed is

speed = distance/time

speed = (130 km)/(1.25 hrs)

speed = (130/1.25) km per hour

speed = 104 km per hour

Let A = 104, so we can use it later.

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

Dani's train leaves at 15:15 and arrives at 18:30. We need to calculate the duration of elapsed time here.

From 15:15 to 16:00, this is a difference of 00:45, aka 45 minutes or 45/60 = 3/4 = 0.75 hours.From 16:00 to 18:00, this is a time gap of 2 hours. From 18:00 to 18:30, this is a gap of 30/60 = 0.5 hours

Overall, the length of time from 15:15 to 18:30 is 0.75+2+0.5 = 3.25 hours.

Dani's train travels 312 km in 3.25 hours.

That train's speed is...

speed = distance/time

speed = (312 km)/(3.25 hours)

speed = (312/2.35) km per hour

speed = 132.765957 km per hour, approximately

Let B = 132.765957 so we can use it later.

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

Lastly, we subtract the values of A and B to get the final answer

C = difference in train speeds.

C = B - A

C = 132.765957 - 104

C = 28.765957 km/hour

This value is approximate. This says that Dani's train is approximately 28.765957 km/hour faster compared to Jaden's train.


Related Questions

Can someone please answer 1 for me? Whoever can answer gets brainliest

Answers

ANSWER
Day 1 he gets $7
Day 2 he gets $14
Day 3 he gets $21

EXPLANATION:

add 7 to each day!
Hope that helps <3

Which point is the reflection of point E across the y-axis what are it’s coordinates ??

Answers

Answer:

Point J is the reflection, and the coordinates are (0,-2)

Step-by-step explanation:

Answer:

The reflection of point E across the y-axis is J(-2, 0).

Step-by-step explanation:

!!edmentum answer!!

6 cans of soup cost $12. Fill in the correct number over or under each hash mark. How much does one can of soup cost ?

Answers

Answer:

12 / 6 = $2

Step-by-step explanation:

Answer:

they each cost 2 dollors

Step-by-step explanation:

A petri dish has 10, 000 bacteria in it. After 4 hours the bacteria’s population increased to 20,000. If the number of colonies grows exponentially, write a formula for the number of bacteria in the dish at any time t, where t is in hours

Answers

Answer:

[tex]P(t) = 10000e^{0.1733t}[/tex]

Step-by-step explanation:

The population of bacteria grows exponentially, which means that it can be represented by a function in the following format:

[tex]P(t) = P(0)e^{rt}[/tex]

In which P(0) is the initial population and r is the growth rate.

A petri dish has 10, 000 bacteria in it.

This means that [tex]P(0) = 10000[/tex]. So

[tex]P(t) = 10000e^{rt}[/tex]

After 4 hours the bacteria’s population increased to 20,000.

This means that [tex]P(4) = 20000[/tex], and we use this to find the growth rate. So

[tex]P(t) = 10000e^{rt}[/tex]

[tex]20000 = 10000e^{4r}[/tex]

[tex]e^{4r} = \frac{20000}{10000}[/tex]

[tex]e^{4r} = 2[/tex]

[tex]\ln{e^{4r}} = \ln{2}[/tex]

[tex]4r = \ln{2}[/tex]

[tex]r = \frac{\ln{2}}{4}[/tex]

[tex]r = 0.1733[/tex]

So, the formula is given by:

[tex]P(t) = 10000e^{0.1733t}[/tex]

HELP PLEASE


-9x + 3 > 39 OR - 5x + 6 < 16

Answers

9514 1404 393

Answer:

  (-∞, -4) ∪ [-2, ∞)

Step-by-step explanation:

The solution to the first inequality is ...

  -9x +3 > 39

  -9x > 36 . . . . . subtract 3 from both sides

  x < -4 . . . . . . . divide both sides by -9; reverse > to < because -9 is negative

__

The solution to the second inequality is ...

  -5x +6 ≤ 16

  -5x ≤ 10 . . . . . . . subtract 6 from both sides

  x ≥ -2 . . . . . . divide both sides by -2; reverse ≤ to ≥ because -2 is negative

__

These solution sets are disjoint. The solution of the OR of these inequalities is the union of the solution sets. The graph is shown below. In interval notation, it is described by ...

  (-∞, -4) ∪ [-2, ∞)

The -2 has a square bracket because it is included in the set. The curved bracket at -4 indicates it is not included.

Let Ln denote the left-endpoint sum using n subintervals and let Rn denote the corresponding right-endpoint sum. In the following exercise, compute the indicated left and right sums for the given function on the indicated interval.
L4 for f(x)=1/x−1; [2,3]

Answers

Answer:

[tex]L_4=0.7595[/tex]

Step-by-step explanation:

We are given that

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

We have to find L4

It means n=4

[tex]\Delta x=\frac{b-a}{n}=\frac{3-2}{4}=\frac{1}{4}=0.25[/tex]

Now, intervals are

[2,2.25],[2.25,2.50],[2.5,2.75],[2.75,3]

Now,

[tex]L_4=f(x_0)\Delta x+f(x_1)\Delta x+f(x_2)\Delta x+f(x_3)\Delta x[/tex]

[tex]L_4=\frac{1}{2-1}(0.25)+\frac{1}{2.25-1}(0.25)+\frac{1}{2.5-1}(0.25)+\frac{1}{2.75-1}(0.25)[/tex]

[tex]L_4=0.7595[/tex]

There are 120 people on the bus 50% get off at the first stop 20% get off at the second stop. The rest get off on the third stop. How many people got off the bus at the third stop?

Answers

Answer:

36

Step-by-step explanation:

so 50% of 120 is just half of it. so that would be 60. Then 20% of 120 is 24 so subtract that from 60 and you get 36.

_ divided by 4= _ remaider 5

Answers

Answer:

20 / 4 =5

Step-by-step explanation:

I think

x + 6 >10 or 3x + 11 ≤ −7

Answers

Answer:

x>4 or x≤-6

Step-by-step explanation:

x+6>10 or 3x+11≤-7

x>4 or 3x≤-18

x>4 or x≤-6

I need help quick please!!!!

Answers

Answer:

1 is false

2 is blueprints

Step-by-step explanation:

evaluate.
[tex] - \sqrt{81} [/tex]
.......

Answers

Answer:

Step-by-step explanation:

First find factors of 81

3 81

3 27

3 9

3 3

1

81 = 3×3×3×3

81 = 3^4

Taking squareroot

∴ -√81 = -√3^4

= -3^2

= -9

Find the 43rd term in the sequence: -6, -3, 0,...

Answers

Answer: 129

Step-by-step explanation: 43•3=129

solve for (0)
12
15
Round to the nearest hundredth

Answers

Answer:

.014

Just trust me, you know I have your back

An initial population of 800 endangered birds doubles each year. How many birds will there be in 18 months

Answers

14,400 because 800 times 18 is 14,400

Asphere has a radius of 27 inches. A horizontal plane passes through the center of the sphere.
Part 1 out od 2
Describe the cross section formed by the plane and the sphere.

Answers

9514 1404 393

Answer:

  circle of radius 27 inches

Step-by-step explanation:

Anywhere a plane cuts a sphere, the cross section is a circle. When the plane includes the center of the sphere, the circle has the same radius the sphere has.

The cross section is a circle of radius 27 inches.

Guys i actually need help​

Answers

Answer:

Rotation

Step-by-step explanation:

Answer:

That is just rotation.

Step-by-step explanation:

It is rotation because if you were to spin it to the right on a 57 degree it will be that angle.

It also not the others because if you were to put reflection that would it would the opposite.

an industry representative claim that 60% of all satellite owners subscribers movie channel. suppose that representative’s claim is true and also suppose that 20 dish owners are randomly selected. find the probability that: (i) none of the dish owners subscribes movie channel (ii) exactly 3 dish owners subscribe movie channel (iii) more than 17 dish owners subscribe movie channel.

Answers

Answer:

1.099 * 10^-8 ; 4.23 * 10^-5 ; 0.0036

Step-by-step explanation:

Given :

p = 0.6

Sample size, n = 20

P(x = 0)

Using binomial distribution formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

1 - p = 1 - 0.6 = 0.4

P(x = 0) = 20C0 * 0.6^0 * 0.4^20

P(x = 0) = 1 * 1 * 1.099511627776E−8

P(x = 0) = 1.099 * 10^-8

2) Exactly 3;

P(x = 3) = 20C3 * 0.6^3 * 0.4^17

P(x = 3) = 1140 * 0.216 * 0.00000017179869184

P(x = 3) = 0.0000423037098786816

P(x = 3) = 4.23 * 10^-5

3.) More than 17

P(x > 17) = P(x = 18) + P(x = 19) + P(x = 20)

Using calculator :

P(x > 17) = 0.0036

Luis solves the following system of equations by elimination.
5s+ 3t = 30
2s+3t=-3
What is the value of s in the solution of the system?

Answers

the value of s is 11

Help please with both of these questions :(

Answers

It means to make a greater or less then statement. So maybe for the first one you can do: -1 < 2 or -2 <0 And for the fourth one you could do 4 >3 or 2 = 2 (Sorry if I am wrong, this is what I know)

enter the value of 3/4 + 7/12 - ( -4 )

Answers

Answer:

16/3 or 5.33

Step-by-step explanation:

3/4+7/12+4/1= 16/3 = 5.33

Answer:

Step-by-step explanation:

Exact Form:

16/3

Decimal Form:

5.3....

Mixed Number Form:

5 1/3

Helppppppppppppppppppppppp please

Answers

Answer:

A

Step-by-step explanation:

Two Squares

There are 2 squares at the top and bottom. All sides = 3

2* s^2

2 * 3^2

2 * 9

18

Middle Figure.

Triangles

There are many ways to solve this. I think the most easily understood is to break it into 2 triangles and a rectangle.

Base of both triangles = 5 + 5 = 10

The height of each triangle = (7 - 3)/2 = 4/2 = 2. You divide by 2 because there are 2 bases -- one in each triangle.

Area = 1/2 * 2 * 10 = 10

But there are 2 of them so the total area is 20

Rectangle

The length of the rectangle = 5 + 5 = 10

The width = 3

Area = 30

Total

Total Area = 2 squares + 2 triangles + 1 rectangle

Total Area = 18 + 20 + 30 = 68

24 apples and 36 oranges in a basket. What percentage of the fruit is oranges

Answers

Answer:

24 %

Step-by-step explanation:

thats easy

Help here is an easy one

Answers

Answer:

x = 30°

Step-by-step explanation:

Given that,

∠A = x°

∠B = 2x°

∠C = 90°

We need to find the value of x.

We know that the sum of angles of a triangle is equal to 180°.

ATQ,

x° + 2x° + 90° = 180°

3x° = 180°-90°

3x° = 90°

x° = 30°

So, the value of x is 30°.

Answer:

3x+90=180

3x=90

x=30

Step-by-step explanation:

Please I really need help on this one

Answers

radius: 2.5 centimeters

Answer:

r=

[tex]r = \frac{d}{2} \\ r = \frac{5}{2} \\ r = 2.5cm[/tex]

A new car is purchased for 20000 dollars.The value of the cat depreciates at 12.5% per year.What will the value of the car be, to the nearest cent, after 11 years?

Answers

Answer:

$460.38

Step-by-step explanation:

Use the exponential decay formula, y = C(1 - r)^t

Plug in the original price, depreciation rate, and amount of time:

y = 20000(0.875)^11

y = 460.38

So, the car's value after 11 years will be $460.38

Which rule describes the translation?
y
5
B
С
O(x, y) - (x -8, y - 3)
O(x, y) = (x - 3, y + 8)
(x, y) + (x + 8, Y-3)
O (x, y) = (x + 3y + 8)
B'
C'
A
-5
D
A'
D'

Answers

Answer:

(x,y) -> (x + 8, y - 3)

Step-by-step explanation:

Move any point to the right 8 units, and down 3 units. You are just translating the shape, not dilating, reflecting, or rotating it.

Help please I will Brainly

Answers

Answer:

we have the same computer

Step-by-step explanation:

Answer:

[tex]114\:\mathrm{yd^2}[/tex]

Step-by-step explanation:

The composite shape consist of two rectangles. We can find the area of these two rectangles and add them to get our answer:

[tex]10\cdot9+6\cdot 4= 90+24=\fbox{$114\:\mathrm{yd^2}$}[/tex].

An equilateral triangle has a side length of 12sqrt(3) inches. What is the length of the altitude of the triangle?
HELP ASAP

Answers

Answer:

18 inches.

Step-by-step explanation:

Let x inches be the altitude of the triangle.

By Pythagoras Theorem,

[6sqrt(3)]^2 + x^2 = [12sqrt(3)]^2

108 + x^2 = 432

x^2 = 324

x = 18

So the altitude of the triangle is 18 inches.

write the equation of the line for the following table of values.


x. -3 -5 -7 -9 -11


y. -16 -26 -36 -46 -56


Plz helppp 35 points:)​

Answers

Answer:

We conclude that the equation of the line is:

[tex]y = 5x + 1[/tex]

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

m is the slopeb is the y-intercept

Given the data table

x      -3 -5 -7 -9 -11

y      -16 -26 -36 -46 -56

From the table taking two points

(-3, -16)(-5, -26)

Determining the slope between (-3, -16) and (-5, -26)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-3,\:-16\right),\:\left(x_2,\:y_2\right)=\left(-5,\:-26\right)[/tex]

[tex]m=\frac{-26-\left(-16\right)}{-5-\left(-3\right)}[/tex]

[tex]m=5[/tex]

Thus, the slope of the line is:  m = 5

substituting m = 5 and (-3, -16) in the slope-intercept form of the line equation  to determine the y-intercept b

[tex]y = mx+b[/tex]

-16 = 5(-3) + b

-16 = -15 + b

b = -16+15

b = 1

Thus, the y-intercept b = 1

now substituting m = 5 and b = 1 in the slope-intercept form of the line equation

[tex]y = mx+b[/tex]

[tex]y = 5x + 1[/tex]

Therefore, we conclude that the equation of the line is:

[tex]y = 5x + 1[/tex]

write the following numbers in order from least to greatest . -1, 1.75, -1.75, -2, -2 1/2, -5/2, 9/4 I NEED HELP ASAP PLEASE

Answers

Step-by-step explanation:

-5/2

-2

-1.75

-1

1/5

1.75

9/4

Mark as brainlist . kindly

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