Passenger trains leave the station every
40 minutes. Freight trains leave every
30 minutes. If a passenger train and a
freight train just left at the same time, how
long will it be before one of each train
departs at the same time again?

Answers

Answer 1

When Passenger trains leave the station every 40 minutes and  Freight trains leave every 30 minutes, If  a passenger train and a freight train just left at the same time, then it will take 120 minutes for one of  each train departs at the same time again

Given,

The passenger trains leave the station every 40 minutes

Freight trains leave every 30 minutes

We have to find the LCM

Prime factorization

30=2×3×5

40=2×2×2×5

LCM(30,40)= 2×2×2×3×5=120

Hence, when Passenger trains leave the station every 40 minutes and  Freight trains leave every 30 minutes, If  a passenger train and a freight train just left at the same time, then it will take 120 minutes for one of  each train departs at the same time again.

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Related Questions

If Max wants to build a rectangular walkway 4 ft wide by 1.5 ft deep by 20 ft long
from the house to the storage shed, what is the area of the walkway?
Square Feet

Answers

Answer:

80 ft^2

Step-by-step explanation:

The area of a rectangular walkway = L x W = 20 ft x 4ft =  80 ft

Which shape is similar to shape x?

Answers

Answer:

the c one

Step-by-step explanation:

hope it will help

Answer:

Step-by-step explanation:

Probably C but I sure wouldn't bet the farm on it. It looks like C is about 1.5 times the size of X

Evaluate 4^2 - 6 ÷ 2 + 3=

Answers

Answer:The correct answer is 16

Step-by-step explanation:

4^2= 16

16-6/2+3

16-3+3

13+3=16

Please I need help with the question

Answers

Answer: Yes please tell us the question.

Step-by-step explanation:

Can you attach a photo of the question please? thx!

Enter the decimal equivalent of the following:

Nine hundred eight and seven hundredths
_

Answers

Answer:

908.07

Step-by-step explanation:

We know there is nine hundered and eight so lets put that.

908.

Then we know that there are seven hundredths, one number to the right of a decimal is a tenth, so lets go one more to the right. We put seven to the right of the tenth decimal place. Now we have:

908.07

Dreyfus cashed a check for $145. The teller gave him five $20 bills, two $20 bills, and f $1 bills. How many $1 bills did he get?

Answers

Answer:

5 singles

Step-by-step explanation:

5 $20= 100

2 $20= 40

remainder is 5 singles

Answer:

5 $1 bills.

Step-by-step explanation:

The expression to reflect this problem is:

145 = 20(5) + 20(2) + 1x

145 = 100 + 40 + 1x

145 = 140 + 1x

145 - 140 = 140 + 1x - 140

5 = 1x

5 ÷ 1 = 1x ÷ 1

5 = x

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

A ball is thrown from an initial height of 4 feet with an initial upward velocity of 30ft/s. The balls height h (in feet) after t seconds is given by the following. H=4+30t-16t^2n

Answers

The maximum height of the ball is at 18.0625 feet which occurs at 0.9375 s

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Let h represent the height of the ball after t seconds, hence:

h(t) = 4 + 30t - 16t²

The maximum height is at h'(t) = 0, hence:

h'(t) = 30 - 32t

-32t + 30 = 0

t = 0.9375 s

h(0.9375) = 4 + 30(0.9375) - 16(0.9375)² = 18.0625 feet

The maximum height of the ball is at 18.0625 feet which occurs at 0.9375 s

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Please answer this correctly without making mistakes

Answers

Answer: take 20% off

Step-by-step explanation:

the first one is correct because you would be getting 20% off of any purchase.

Which of the following equations is equivalent to 4x-2=38
A. 5x=-50
B. X-20=30
C. 5x=50
D. 2x=10

Answers

D I hope this helps.

Evaluate. 1 1/2÷4
A. 2 1/2
B. 12/2
C. 3/8
D. 6

Answers

the correct answer is C. 3/8

the correct answer is C. 3/8

Plz help me with this!?!? I will mark you brainliest plz and thank you!

Answers

Answer:

9

Step-by-step explanation:

Ceecee and Jose ate at a restaurant.
Ceecee gave a 20% tip on an $85 dinner bill.
Jose gave a 18% tip on a $80 dinner bill.
Who (Ceecee or Jose) gave the larger tip?

Answers

I think it’s Jose because 18% but im not sure

At 60 km per hour it takes archie 10 hours to travel from his house in Manila to his house in the province. If his rate will be 120 km per hour, how long will it take him to reach his house in the province from Manila

A. 5 hours
B. 8.5 hours
C. 6 hours
D. 7.5 hours

Pls i need it now

Answers

Answer:

a

Step-by-step explanation:

5 hours

christopher bought a six-pack of soda for 1.50. each can holds 2 fluid ounces. identify the total quantity of each unit in the problem a. cans b. dollars c. cents d. six packs e. ounces f. cases

Answers

The total quantity of each unit in the problem is ounces

What is the volume of a can of soda in ounces?

A can of soda weighs about 2 fluid ounces and in pack of soda, there are 2 cans of soda, which means that total quantity of each unit in the problem can be determined in ounces.

Six packs is not a unitary measure, because each pack has 12 cans , which means that six packs translate into 72 cans(6 packs*12 cans), also, the can itself is made of ounces, hence, measuring the unit of soda in cans is not appropriate where each can is about 2 ounces

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fraction or decimals that stop are known as _____numbers.
Partial
Rational

Answers

The answer is rational

Answer:

Step-by-step explanation:

Rational numbers are numbers that are terminating decimals or nonterminating, repeating decimals.

Like 3, -4, 7.166..

Given the quadratic function f(x) = 4x^2 - 4x + 3, determine all possible solutions for f(x) = 0

Answers

Answer:

The solutions to the quadratic function are:

[tex]x=i\sqrt{\frac{1}{2}}+\frac{1}{2},\:x=-i\sqrt{\frac{1}{2}}+\frac{1}{2}[/tex]

Step-by-step explanation:

Given the function

[tex]f\left(x\right)\:=\:4x^2\:-\:4x\:+\:3[/tex]

Let us determine all possible solutions for f(x) = 0

[tex]0=4x^2-4x+3[/tex]

switch both sides

[tex]4x^2-4x+3=0[/tex]

subtract 3 from both sides

[tex]4x^2-4x+3-3=0-3[/tex]

simplify

[tex]4x^2-4x=-3[/tex]

Divide both sides by 4

[tex]\frac{4x^2-4x}{4}=\frac{-3}{4}[/tex]

[tex]x^2-x=-\frac{3}{4}[/tex]

Add (-1/2)² to both sides

[tex]x^2-x+\left(-\frac{1}{2}\right)^2=-\frac{3}{4}+\left(-\frac{1}{2}\right)^2[/tex]

[tex]x^2-x+\left(-\frac{1}{2}\right)^2=-\frac{1}{2}[/tex]

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

[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]

solving

[tex]x-\frac{1}{2}=\sqrt{-\frac{1}{2}}[/tex]

[tex]x-\frac{1}{2}=\sqrt{-1}\sqrt{\frac{1}{2}}[/tex]                 ∵ [tex]\sqrt{-\frac{1}{2}}=\sqrt{-1}\sqrt{\frac{1}{2}}[/tex]

as

[tex]\sqrt{-1}=i[/tex]

so

[tex]x-\frac{1}{2}=i\sqrt{\frac{1}{2}}[/tex]

Add 1/2 to both sides

[tex]x-\frac{1}{2}+\frac{1}{2}=i\sqrt{\frac{1}{2}}+\frac{1}{2}[/tex]

[tex]x=i\sqrt{\frac{1}{2}}+\frac{1}{2}[/tex]

also solving

[tex]x-\frac{1}{2}=-\sqrt{-\frac{1}{2}}[/tex]

[tex]x-\frac{1}{2}=-i\sqrt{\frac{1}{2}}[/tex]

Add 1/2 to both sides

[tex]x-\frac{1}{2}+\frac{1}{2}=-i\sqrt{\frac{1}{2}}+\frac{1}{2}[/tex]

[tex]x=-i\sqrt{\frac{1}{2}}+\frac{1}{2}[/tex]

Therefore, the solutions to the quadratic function are:

[tex]x=i\sqrt{\frac{1}{2}}+\frac{1}{2},\:x=-i\sqrt{\frac{1}{2}}+\frac{1}{2}[/tex]

Someone please help me out with this question

Answers

Answer:

c, b, a

Step-by-step explanation:

1. DNE stands for does not exist and is there because of dividing by zero, and when you are dividing by zero like the slope is 4/0 or something the line is vertical.

2. when the slope is 0 it is not sloping at all so it is horizontal.

3. the slope is 9 so it will be a steep uphill slope.

sgshnsjmsngtjsdyjhsksykhm​

Answers

i can't read it, its too blurry

anyways have a great day/night :)

In each triangle ABC, angle C is a right angle. Find the value of the trig function indicated.

Answers

As given triangle ABC, angle C is a right angle if a=6, c=10 then value of trigonometric function is  sin A = 3/5.

As given in the question,

In triangle ABC,

∠C  = 90°

Side a is opposite to angle A

c is the hypotenuse opposite to angle C

a = 6

c = 10

sin A = ( opposite side) / Hypotenuse

⇒sin A = a/c

⇒sin A = 6/10

⇒sin A = 3/5

Therefore, as given triangle ABC, angle C is a right angle if a=6, c=10 then value of trigonometric function is sin A = 3/5.

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Which is the lower left quadrant on the coordinate plane? A coordinate plane. Quadrant I Quadrant II Quadrant III Quadrant IV

Answers

Answer:

C

Step-by-step explanation:

If u form a C around the origin point, u will know the order.

Answer:

Quadrant 3

Step-by-step explanation:

The quadrants go from:

1                           2

3                          4

a tortoise is walking in a desert. it walks at a speed of 5 meters per minute for 156.25 meters. for how many minutes does it walk?​

Answers

Answer:

31 1/4 minutes

Step-by-step explanation:

156.25/5= 31.25

Answer:

31.25 minutes

Step-by-step explanation:

156.25 divided by 5 is 31.25

Two people are pulling on a rope in order to get a 2250-kg car out of a mud puddle. One person pulls with a force of 600 N and the other pulls with a force of 800 N. There is a resistive frictional force of 1200 N. What will the acceleration of the car be? (answer with 3 digits, units will be m/s/s, DO NOT put them. ) *

Answers

Assuming both people are pulling in the same direction, the net force on the car is, according to Newton's second law,

600 N + 800 N - 1200 N = (2250 kg) a

Solve for the acceleration a :

200 N = (2250 kg) a

a = (200 N) / (2250 kg)

a0.0889 m/s/s

Please I need some answers

Answers

The answer to this question is -5

(PLEASE HELP THIS IS TIMED!!!)

Which graph represents the inequality x > 6?

Answers

Answer:

The last one

Step-by-step explanation

x is greater than six so you would go to the right and it has to be an open dot since it can't be the same as 6

Answer:

hello

Step-by-step explanation:

Question
A globe of Earth is in the shape of a sphere with a radius of 14 inches. Find its a volume and b surface area.
Round the answers to the nearest hundredth.

Answers

Answer:

[tex]Volume = 11488.21[/tex]

[tex]Area = 2461.76[/tex]

Step-by-step explanation:

Given

[tex]Radius, r = 14\ in[/tex]

Shape: Sphere

Solving (a): The Volume

This is calculated as:

[tex]Volume = \frac{4}{3}\pi r^3[/tex]

Take [tex]\pi[/tex] as 3.14 and substitute 14 for r

[tex]Volume = \frac{4}{3} * 3.14 * 14^3[/tex]

[tex]Volume = \frac{4}{3} * 3.14 * 2744[/tex]

[tex]Volume = \frac{4 * 3.14 * 2744}{3}[/tex]

[tex]Volume = \frac{34464.64}{3}[/tex]

[tex]Volume = 11488.21[/tex]

Solving (b): The Surface Area

This is calculated as follows:

[tex]Area = 4\pi r^2[/tex]

Take [tex]\pi[/tex] as 3.14 and substitute 14 for r

[tex]Area = 4 * 3.14 * 14^2[/tex]

[tex]Area = 4 * 3.14 * 196[/tex]

[tex]Area = 2461.76[/tex]

Please please help me!!
solve the system of equations by the substitution method.
{ 21x + 7y = 41
{ -3x = y + 6

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution is __ ( type an ordered pair. Simplify your answer.)
B. There are infinitely many solutions.
C. There is no solution.

Answers

Answer:

C. There is no solution.

Step-by-step explanation:

Similarly to the previous question, you want to substitute one of these equations into the other:

21x + 7y = 41

-3x = y + 6

But first, you need to isolate for a variable. I'm going to isolate for y in the second equation to avoid fractions.

-3x = y + 6

y = -3x - 6

Now that I've done that, I can now plug it into the first equation to solve for x:

21x + 7(-3x - 6) = 41

21x + -21x - 42 = 41

0x = 41

0 ≠ 41

Since 0 ≠ 41, these lines are parallel, which means that there are no solutions.

Nick bought 5 tickets to go to the amusement park for $65. If he wanted to buy 8 tickets, what would that cost him?

Answers

Answer:

$104

Step-by-step explanation:

First find how much 1 ticket costs

65/5= 13

Times that by 8

8x13=104

Marbles question:

John is told to find 3 specific marbles within a box of 60 marbles. The room is dark and he can’t see the marbles properly. He pours out 20 of these marbles, and blindly chooses 3 of them.


What are the chances he chooses the 3 specific marbles he was told to find?

Answers

The chances he chooses the 3 specific marbles he was told to find is 1/20.

How to calculate the probability?

It should be noted that there are 60 marbles and he wants to find 3.

In this case, he poured out 20. Therefore, his chances of picking the three marbles will be 1 out of 20.

Therefore, the chances will be 1/20.

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Calculate the constant of proportionality, k, for the given table.

Answers

Answer:

k = y/x

Step-by-step explanation:

1/5, 2/10, 3/15 . . . all equal to 1/5 which is what the value of k is; 'k' stands for constant of proportionality

Which of the following ratios is not equivalent to the other three 2/3 4to6 8to12 4/5

Answers

Answer:

The non-equivalent ratio is 4:5.

Step-by-step explanation:

2/3 4/6 and 8/12 are equivalent because they are all multiples of each other.

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