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Natali [406]
3 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]3 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 of the following system of linear equations?<br> y = x - 7<br> 2y + x=1
andrew-mc [135]

Answer:

x=5

y=-2

Step-by-step explanation:

I just took this!

Hope I helped

5 0
2 years ago
f is an even function. a = A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, 0, 2, 3. Column 2 is lab
Lady_Fox [76]

The values of a and b are 4 and -3

<h3>How to solve for (a) and (b)?</h3>

To solve for a, we make use of the function f(x).

x    f(x)

2     4

0     5

2     a

3     7

Remove the x values 0 and 3

x    f(x)

2     4

2     a

The above table implies that:

f(2) = 4 and f(2) = a

Substitute 4 for f(2) in f(2) = a

4 = a

Rewrite as:

a = 4

To solve for b, we make use of the function g(x).

x    g(x)

2     b

0     0

2     -3

3     -4

Remove the x values 0 and 3

x    g(x)

2     b

2     -3

The above table implies that:

f(2) = b and f(2) = -3

Substitute -3 for f(2) in f(2) = b

-3 = b

Rewrite as:

b = -3

Hence, the values of a and b are 4 and -3

Read more about functions at:

brainly.com/question/13153717

#SPJ1

<u>Complete question</u>

Use the Symmetry of a Function to Find Coordinates

f is an even function             g is an odd function

x    f(x)                                        x             g(x)

2     4                                          2              b

0     5                                          0              0

2     a                                          2              -3

3     7                                          3              -4

Find a and b

4 0
2 years ago
Alan just got a Fall job. The equation P = 12.50h represents the salary P (in dollars) he will earn when he works h hours. How m
balandron [24]

Given:

Alan salary P (in dollars) when he works h hours is represented by the equation

P=12.50h

To find:

The earning per hour.

Solution:

We have,

P=12.50h

Here, P is total salary and h is number of hours he works.

\text{Earning per hour}= \dfrac{\text{Total salary}}{\text{Number of hours}}

\text{Earning per hour}= \dfrac{12.50h}{h}

\text{Earning per hour}=12.50

Therefore, the earning per hour is $12.50.

8 0
3 years ago
Write parametric equations of the line through the points (7,1,-5) and (3,4,-2). please use the first point as your base-point w
Roman55 [17]

Given:

A line through the points (7,1,-5) and (3,4,-2).

To find:

The parametric equations of the line.

Solution:

Direction vector for the points (7,1,-5) and (3,4,-2) is

\vec {v}=\left

\vec {v}=\left

\vec {v}=\left

Now, the perimetric equations for initial point (x_0,y_0,z_0) with direction vector \vec{v}=\left, are

x=x_0+at

y=y_0+bt

z=z_0+ct

The initial point is (7,1,-5) and direction vector is \vec {v}=\left. So the perimetric equations are

x=(7)+(-4)t

x=7-4t

Similarly,

y=1+3t

z=-5+3t

Therefore, the required perimetric equations are x=7-4t, y=1+3t and z=-5+3t.

5 0
3 years ago
How do I write these ratios 10/20 and 2/2 in y=kx form
hodyreva [135]
You would write it 2=10(20+2)
6 0
3 years ago
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