A train to New York city leaves a station every 7 minutes. Another train to Boston leaves the station every 6 minutes. Suppose it is 6:30 am right now. At what time will both trains leave the station together?

Answers

Answer 1

Answer:

7:12 a.m

Step-by-step explanation:

Given that:

Train to New York city leaves station every 7 minutes

Train to Boston leaves station every 6 minutes

Current time = 6:30 a.m

Time both will leave station together is obtained by finding the least common multiple of 6 and 7

Multiples of ;

6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60,...

7 = 7, 14, 21, 28, 35, 42, 49, 56, 63, 70,...

The least common multiple of 6 and 7 is 42.

Hence, both trains will leave the station together after 42 minutes ;

Current time + 42 minutes

6:30 a.m+ 42 minutes = 7:12 a.m


Related Questions


PLEASE ANSWER ASAP!!!



line g has and undefined slope. If line k contains the point (-6,3) and is parallel to line g, what are the x-coordinates of the other points that lie on the line?

Answers

Answer:

-6 is the x-coordinate value

Step-by-step explanation:

Mathematically, slope can be calculated as;

m = (y2-y1)/(x2-x1)

For the value of the slope to be undefined, it means that we are actually dividing by zero

For us to be dividing by zero, it actually means that there is no change in the x-value

The unchanging x-value is what has caused us to have an undefined slope value

Since line k and line g are parallel, their slopes are equal and the slope of k is undefined too

So the x-coordinates of the other points that lie on the line that we used in calculating the slope is -6

At the local dairy farm, Kareem buys a 32-oz container of yogurt for $2.56. Jonah buys a 6-oz container of yogurt for $0.48. Are the cost, y, in dollars and the amount of yogurt, x, proportional? Explain. Write an equation to represent this relationship.
I need the answer asap plsssssssss ty

Answers

Answer:

Yes, y = .08x

Step-by-step explanation:

Yes, because if you divide 2.56 by 32 you get .08.

If you multiply .08*6 = .48.

The equation would be y = .08x

If y is the cost and x is the amount of yogurt then this equation makes sense.

Check 32oz

y = .08(32)

y = 2.56

Hope this helps ya!!

What is the ratio of 120%

Answers

Answer:

5: 6

Step-by-step explanation:

becuase it was basically 100:120 but divide it by 20 and thats  how you get 5;6

please help me. i’ve been stuck on this test for 3 days and i need to get at least a 70% to pass

Answers

Answer:

D -5 less than or equal to y less than or equal to -1.

Step-by-step explanation:

the rang is the y-axis the equation has ys from -5 to -1 so -5to y to -1.

CAN SOMEONE PLEASE HELP FAST
Find the midpoint of the segment with the following endpoints.
(4, 2) (7, 6)

Answers

Midpoint = Average x and y
(4+7)/2 = 11/2 = 5.5
(2+6)/2 = 8/2 = 4
The midpoint is (5.5, 4)

What is cos(37pi)?
A. 1
B. 0
C. -1
D. -2

Answers

37pi = 116.238
Cos(116.238) = -1

Please finish the functions on these 7,8 please 10 points :)

Answers

What you have so far is correct.

Problem 7 is a function because none of the x values repeat. Each x input goes to exactly one y output. The y values can repeat. If the y values repeat, then we don't have a one-to-one function.

In contrast, problem 8 is not a function. We have x = 1 go to y = 8 and y = 6 at the same time. This is one example showing we don't have one output for a given input.

8(a+4)=___a+___ PLZ HELP IM STUCK ON THIS

Answers

Answer:

8(a+4)=8a+32

Step-by-step explanation:

Use the distributive property.

Allison has a $35 budget for the county fair. She spends $15 at a craft booth and she wants to buy some kettle corn for her friends that cost $4 for each bag.
Let x = number of friend's

Answers

Answer: she can buy it for 5 friends

Step-by-step explanation:

$35(budget)- $15(craft booth) =$25

then $25 divided by $4 equals 5

So 5 people she can but for.

£800 is divided between Natasha, Richard & Stephen so that Natasha gets twice as much as Richard, and Richard gets three times as much as Stephen. How much does Richard get?

Answers

Answer:

Richard gets £240

Step-by-step explanation:

Let

Stephen's share = x

Richards share = 3x

Natasha's share = 2(3x)

Total money = £800

Total money = Stephen's share + Richards share + Natasha's share

800 = x + 3x + 2(3x)

800 = 4x + 6x

800 = 10x

Divide both sides by 10

x = 800 / 10

= 80

x = £80

Stephen's share = x = £80

Richards share = 3x

= 3(80)

= £240

Natasha's share = 2(3x)

= 2(240)

= £480

Richard gets £240

Gabriel cycles 1,200 meters in 6 minutes. What is his speed?

Answers

Well divide the numbers to find the unit rate so it’s 200 meters in a minute I think

How does the minimum or maximum value of a parabola relate to the vertex of the same parabola?

Answers

Answer:

The graph of a quadratic function is a U-shaped curve called a parabola. ... If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function. If the parabola opens down, the vertex represents the highest point on the graph, or the maximum value.

Step-by-step explanation:

please mark me brainlist

The relationship between the vertex and the minimum or maximum value of the parabola is given below.

What is a parabola?

A plane curve produced by a moving point such that its separation from a fixed point equals that of a fixed line is a parabola.

Let the vertex be any parabola is (x, y).

When the graph of the parabola opens up,

then the y-value of the vertex is the minimum value.

And when the graph of the parabola opens down,

then the y-value of the vertex is the maximum value.

Therefore, the explanation is given above.

To learn more about the parabola;

https://brainly.com/question/21685473

#SPJ2

8 1/4 as a decimal number

Answers

Answer:

8.25

Step-by-step explanation:

8 1/4= 8 25/100=8.25

Hey there!

8 1/4

= (8 * 4 + 1)/ 4

= (32 + 1)/4

= 33/4

= 33 ÷ 4

= 8.25

Therefore, your answer is: 8.25

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

pls help and it’s not 66

Answers

Answer:

15

Step-by-step explanation:

120=8x-10

130=8x

15=x

Answer:

x=15

sorry that should be right now tho

Please help thank you

Answers

Answer:

Step-by-step explanation:

A: dividend;

B: divisor;

C: quotient

Anyone know the answers???

Answers

Answer:

A. -80

B. 60

C. 98

D. -54

Step-by-step explanation:

ez give brainliest pls

A would be -80 b would be 60 c would be 98 and D is -54

HELP ME OUT PLEASE IM BAD AT MATH

Answers

Answer:

it is -⅕ if youre asking for the slope

Answer:

I don't know what your looking for but the dots are at -3,-1 and 2,-2

Step-by-step explanation:

Majed wants to earn at least $30 trimming trees. He charges $7 per hour and pays $5 in equipment fees. What are the possible numbers of hours Majed could trim trees?
Use t for the number of hours.
Write your answer as an inequality solved for t.

Answers

Answer:

Step-by-step explanation:

So basically what you want to do is set up an inequality to where 30 is on one side and the variable and the payment is on the other side. The payment is taking away from the profit, so you subtract it. It should look something like this:

30≥7t-5

Now we shall solve for t. Get all like terms to one side:

35≥7t

And divide

5≥t

At least 5 hours to make 30 dollars

Simplify
3

5
×
3

8
×
3
8
leaving your answer in the form
a
n
where
a
is a whole number.

Answers

Answer:

that's the simplified way 24×15×38

Suppose you are interested in testing whether the mean earning of men in California differs significantly from the mean earning of men in New York. If the number of men from California in the sample is 123 and the number of men from New York in the sample is 88, how many degrees of freedom are there?

Answers

Answer:

(123+88)-2= 209

Step-by-step explanation:

Please help me on this question

Answers

Answer:

a=50

b=40

c=80?

Step-by-step explanation:

a=50 (180-130)

b: 50+90=140 180-140= 40 b=40

c= 40+60=100 180-100=80?

‘P' is the path of a point moving at the same distance from a fixed point ‘Q'. The fixed distance is ‘R' and the distance around the circle is ‘S'. What is P, Q, R, S?

Answers

Answer: P is arc; Q is the centre of the circle; R is the radius; S is the circumference

Step-by-step explanation: P is arc: it is a continuous part of the circumference (S) of the circle;

Q is the centre of the circle which is at any point in time R points away from P;

R is the radius: the line segment between any point of a circle and its centre, Q;

S is the circumference of the circle: the line that bounds a circle.

Help ASAP I need it quick please and thank you!!!!!

Answers

If I remember correctly then top right is quadrant 1 which is (+,+) then quadrant 2 is top left which is (-,+). The answer should be quadrant 2.

Express in the form n : 1 . Give n as a decimal. 6 : 8

Answers

Step-by-step explanation:

1.n:1

6:8

2.cross multiply

3.8×n÷6×1

8n=6

4 divide both side by 6

=8n÷6=6÷6 :

=8n÷6=1.33...

therefore n=1.33...

Letters used in the word mathematics

Answers

Answer:

In this case, there are 11 letters in the word 'mathematics'; three letters appear twice: m, a, and t.

Step-by-step explanation:

I don't know why you want this but there you go

Identify the domain and range of the relation!

Can someone help me with 2-4

Answers

2. Domain and range are both all real numbers. 3 is C. 4 is y=3x+65
For 2
Domain =5,10,15,20
Range = -3,-1,1,3
For the answer is C option
Dont know 4

When Judy worked 4 hours and Ben worked 1 hour, their combined pay was $75. When Judy worked 2 hours and Ben worked 6 hours, their combined pay was $120. Find the hourly rate of pay for Ben and Judy.

Answers

Answer:

They each earn 15 an hour

Step-by-step explanation:

Answer:

They both make $15

Step-by-step explanation:

In the first scenario Judy worked for 4 hours, (4)*(15)=60 plus Ben, (1)*(15)=15 which equals 75. In the second scenario, Judy works 2 hours so (2)*(15)=30 and Ben works 6, (6)*(15)= 90 which is 120.

Investors buy a studio apartment for $180,000. Of this​ amount, they have a down payment of $36,000. Their down payment is what percent of the purchase​ price? What percent of the purchase price would a ​$72,000 down payment​ be?
Their down payment is *blank*% of the purchase price.

Answers

Answer:

Answer: 36,000 would be 20 percent. 72,000 would be 40 percent. Step-by-step explanation: You just divide 36,000 by 180,000

I need help with the last part

Answers

Answer:

ok gimmie a min i will put answr

Step-by-step explanation:

A plumber charges a base fee of $ 60, and then each hour of work costs $ 15. Yesterday Joe hired the plumber to fix his sink, at a total cost of $ 240. How many hours did the plumber work 3.75 hours 4 hours 12 hours 16 hours

Answers

Answer:

12 hours

Step-by-step explanation:

Step one:

given data

base fee= $60

charge per hour= $15

let the number of hours the plumber work be x

the linear function for the charge is the equation of line.

that is y=mx+c

Step two:

given that y=$240

240=15x+60

240-60=15x

180=15x

divide both sides by 15 we have

x=180/15

x=12

The number of hours is 12

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