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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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What is the solution to this system of equations? Y= 2x - 3.5 x - 2y = -14
goldfiish [28.3K]

Answer:

x=7

y=10.5


Step-by-step explanation:

1. You can apply the method of substitution, as you can see below:

- Substitute y=2x-3.5 into the other equation and solve fo x:

x-2(2x-3.5)=-14\\x-4x+7=-14\\x=7

- Substitute the value of x obtain into the first equation, then the value of y is:

y=2(7)-3.5\\y=10.5


6 0
2 years ago
Read 2 more answers
198 cents to 234 cents using a fraction in simplest form
Irina-Kira [14]

Answer:

11/13

Step-by-step explanation:

198/234

(198/18)/(234/18)

11/13

4 0
2 years ago
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Make your own of the following v
damaskus [11]
I hope this helps ;)

5 0
2 years ago
Create a set of 5 positive numbers (repeats allowed) that have median 7 and mean 10.
damaskus [11]

Answer:

Step-by-step explanation:

Two cases arise to obtain the median.

Case (1): Sample size (n) is odd

First, arrange the data in ascending order. Then, the median is the middle value and lies at the {\left( {\frac{{n + 1}}{2}} \right)^{{\rm{th}}}} position.

Case (2): Sample size (n) is even

First, arrange the data in ascending order. Then, the median is the mean of the two data values that lie on and positions.

Formula for mean is, where is the sum of all observations and n is the total number of observations.

(1)

Use the below process to create a set of 5 positive numbers (repeats allowed) that have median 7 and mean 10.

1.Select the 5 ordered numbers with middle value 7.

2.Adjust the remaining 4 numbers other than 7 to get mean 10 without changing the order of the numbers.

Based on the process to select the 5 ordered numbers with middle value 7 and change the other ordered numbers to get the mean value 10.

(2)

The product of the mean and the total number of observations is obtained. Then, the sum of four observations is subtracted from the product.

Here, the first four numbers are (5, 6, 7, 8).

The last number by using mean 10 is,

\begin{array}{c}\\\bar x = \frac{{5 + 6 + 7 + 8 + a}}{5}\\\\10 = \frac{{5 + 6 + 7 + 8 + a}}{5}\\\\50 = 26 + a\\\\a = 50 - 26\\=24\end{array}  

The last number is 24.

6 0
2 years ago
A man starts at the point O on the map below. He chooses a path at random and follows it to point B1, B2, or B3. From that point
natita [175]

Answer: 1 / 27

Step-by-step explanation: p (B1) = 1 / 3

p (B2) = 1 / 3

p (B3) = 1 / 3

pro (B1 X B2 X B3) = 1 / 3 X 1 / 3 X 1 / 3 = 1 / 27

6 0
2 years ago
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