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Natali [406]
2 years ago
14

At a bus station, buses begin their routes at 6 a.M. The schedule for two of the buses is based on the time intervals listed bel

ow. ~Bus A leaves every 75 minutes ~Bus B leaves every 15 minutes What is the next time Bus A and Bus B will leave the bus station at the same time? Pls explain! :D
Mathematics
1 answer:
Marianna [84]2 years ago
7 0

Answer:

The next time both will leave the bus station at the same time is 7:15 a.m.

Step-by-step explanation:

Since 15 and 75 are multiples to each other.

So, L.C.M. of 15 and 75 is 75.

So, after 75 minutes both buses will leave the station at the same time.

Also since buses begin their routes at 6 a.m.

So, next time they will meet at

6 hours 0 minutes + 75 minutes = 7 hours 15 minutes = 7:15 a.m.

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Which expression would be easier to simplify if you used the associative property to change the grouping
olga nikolaevna [1]

Answer:

A it is so simple just try it

6 0
2 years ago
Read 2 more answers
Trapezoid STUV with vertices S(-3,6),T(0,7),U(1,4),and V(-5,2): (x,y)>(x+7,y-9)​
hjlf

Answer:

See below

Step-by-step explanation:

<u>Given points:</u>

  • S(-3,6),T(0,7),U(1,4),and V(-5,2)

<u>Translation rule: </u>

  • (x,y) → (x+7,y-9)​

<u>New coordinates by applying the rule:</u>

  • S'(4, -3), T'(7, -2), U'(8, -5), V'(2, -7)

See attached for the graph

The blue trapezoid is STUV and the red one is S'T'U'V'

7 0
2 years ago
Denzel earned money after school delivering newspapers and doing yardwork. He put - of this month's earnings into his savings. H
Inessa05 [86]
<h3><u>Question:</u></h3>

Denzel earned money after school. He put 1/2 of this month's earnings into savings. He took the rest to spend at the amusement park. He spent 1/5 of this amount on popcorn and 3/4 of it on rides. What fraction of his earnings did he take to the park but not spend on rides or popcorn.

<h3><u>Answer:</u></h3>

\frac{1}{40} fraction of money not spend in amusement park

<h3><u>Solution:</u></h3>

Let "x" be the total earnings

He put 1/2 of this month's earnings into savings

\text{ savings} = \frac{1}{2} \text{ of } x

\text{ savings} = \frac{1}{2}x = \frac{x}{2}

He took the rest to spend at the amusement park

\text{ Remaining amount }= x - \frac{x}{2}\\\\\text{ Remaining amount } = \frac{2x - x}{2} = \frac{x}{2}

He spent 1/5 of this amount on popcorn and 3/4 of it on rides

\text{ Amount spend on popcorn } = \frac{1}{5} \times \frac{x}{2} = \frac{x}{10}

\text{ amount spend on rides } = \frac{3}{4} \times \frac{x}{2} = \frac{3x}{8}

<em><u>So the fraction of money not spend in amusement park is:</u></em>

⇒ Remaining amount - (Amount spend on popcorn + amount spend on rides)

\rightarrow \frac{x}{2} - (\frac{x}{10} + \frac{3x}{8})\\\\\rightarrow \frac{x}{2} - \frac{38x}{80}\\\\\rightarrow \frac{2x}{80} = \frac{x}{40}

Thus \frac{1}{40} fraction of money not spend in amusement park

8 0
2 years ago
Margie received her store order on 12/3/16 at 4AM. She just opened one of the
Cerrena [4.2K]

Answer:

Exp Date: 1/17/2017

Exp Time: 4:00am

Prep Date: 12/3/2016

Prep Time: 4:00am

Initials: 12/7/2016

Step-by-step explanation:

A well-detailed version of the question has been uploaded in form of an image for easier understand.

Looking at the question, it was said that she received her store order on 12/3/2016 at 4am, this implies that the prep date and time are 12/3/2016 and 4am respectively. Also, it was said that the expiration date was printed on the product and it is 1/17/2017. Obviously, the expiration time would also be 4am because it was prepared at 4am and if we calculate in. 24hours we would get 4am at the expiration date as well. Lastly, we were told she opened the product she received on 12/7/2016 which is the initial date the product was used. From all these we can deduce the following:

Exp Date: 1/17/2017

Exp Time: 4:00am

Prep Date: 12/3/2016

Prep Time: 4:00am

Initials: 12/7/2016

8 0
2 years ago
Rohan had ten dollars. he bought x pounds of potatoes which were on sale for 40% off the original price. write and expression th
yanalaym [24]

Let y represent the original price of potatoes per pound

Since he purchased the potatoes at 40% off the original price, this can represented as y*(1-0.4)

Now the weight of potatoes he purchased is x pounds, the total cost of these potatoes can be represented as x*y*(1-0.4)

The total amount of money he had is $10

The amount of money left over can be represented by the expression =

10 - x*y*(1-0.4)

where "x" is the weight of potatoes in pounds and "y" is the original price per pound of potatoes

5 0
2 years ago
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