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lina2011 [118]
3 years ago
7

Bus A and Bus B leave the bus depot at 5 pm. Bus A takes 30 minutes to do its route and bus B takes 35 minutes to complete its r

oute. At what time are they both back at the bus depot together? Give your answer as a 12-hour clock time.
Mathematics
1 answer:
DaniilM [7]3 years ago
7 0

Answer:

8:30 pm

Step-by-step explanation:

step 1

Decompose the numbers in prime factors

30=(2)(3)(5)\\35=(5)(7)

step 2

Find the LCM

The LCM of 30 min and 35 minutes will be given as

LCM=(2)(3)(5)(7)=210\ min

step 3

Adds 210 minutes to the starting time

First, converting 210 minutes to hours

Remember that

1\ h=60\ min

will need dividing 210 by 60

210/60=3.5\ h

therefore

5:00 pm+3.5 h=8:30 pm

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(2te^{-t})'=(2t)'e^{-t}+2t(e^{-t})'=2e^{-t}+2t(-e^{-t})=2e^{-t}-2te^{-t}
6 0
3 years ago
Write and solve the equation and then check your answer. Which statements are true about the equation and its solution? Check
ch4aika [34]

The correct equation is n - 31 = 52

To check the solution, substitute 83 for the variable in the equation

This is an addition problem.

To solve the equation, add 31 to both sides.

Step-by-step explanation:

A number decreased by thirty-one is fifty-two

That means:

  • Subtract 31 from a number
  • The difference equal 52

Assume that the number is n

∵ The number is n

∵ When n decreased by 31 the answer is 52

∴ The equation is n - 31 = 52

The correct equation is n - 31 = 52

∵ n - 31 = 52

- To find n add 31 to both sides of the equation

∴ n - 31 + 31 = 52 + 31 ⇒ addition property

∴ n = 83

-To check the equation substitute n by 83 in the left hand side, the

  answer must be equal the right hand side

∵ Left hand side = 83 - 31 = 52

∵ Right hand side = 52

∴ n = 83 is correct answer

To check the solution, substitute 83 for the variable in the equation

This is an addition problem.

To solve the equation, add 31 to both sides.

Learn more:

You can learn more about solving equation in one variable in brainly.com/question/11306893

#LearnwithBrainly

7 0
3 years ago
Read 3 more answers
Y=? cm<br> A15<br> B.10<br> C.3<br> D.5
Gelneren [198K]
What is the question?
3 0
3 years ago
Read 2 more answers
Which of these is a simplified form of the equation 7y + 8 = 9 + 3y + 2y? 7y = 6 5y = 17 12y = 17 2y = 1
LekaFEV [45]
7y +8= 9+3y+2y

Combine like terms.

7y+8= 9+5y

Subtract 5y on both sides.

2y+8=9

Subtract 8 on both sides.

2y=1

Your answer is 2y=1

I hope this helps!
~kaikers
4 0
3 years ago
Read 2 more answers
A population of butterflies grows in such a way that each generation is simply 1.5 times the previous generation. There were 350
kap26 [50]

Answer:

378.5 or just 378

Step-by-step explanation:

This is a linear model with x representing the number of generations that's gone by, y is the number of butterflies after x number of generations has gone by, and the 350 represents the number of butterflies initially (before any time has gone by.  When x = 0, y = 350 so that's the y-intercept of our equation.)

The form for a linear equation is y = mx + b, where m is the rate of change and b is the y-intercept, the initial amount when x = 0.

Our rate of change is 1.5 and the initial amount of butterflies is 350, so filling in the equation we get a model of y = 1.5x + 350.

If we want y when x = 19, plug 19 in for x and solve for y:

y = 1.5(19) + 350

y = 378.5

Since we can't have .5 of a butterfly we will round down to 378

7 0
3 years ago
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