We have been given that there are 15 people in an office with 5 different phone lines. We are asked to find groups of 5 people that can answer these lines, if all the lines begin to ring at once.

We will use fundamental principle of counting to solve our given problem.

There are 15 people to answer 1st line, that will leave us with 14 people to answer 2nd line.

Now, we will have 13 people to answer 3rd line, that will leave us with 12 people to answer 4th line.

There are 11 people to answer 5th call.

So 5 lines can be answered in $15\times 14\times 13\times 12\times 11=360,360$ ways.

Therefore, 360,360 groups of 5 people can answer these lines.

6 0

3 years ago

What is the slope of the graph in the picture

BaLLatris [955]

Answer:

-2

-2/1

Explanation:

**Slope = rise/run**

By counting the distance between the points, from (0,3) to (1,1) , it went down 2 units and right by 1 unit

6 0

3 years ago

Read 2 more answers

A group walked 3/8 mile in 1/5 hour. Which is the groups walking speed in miles per hour

gogolik [260]

Answer:

The groups walking speed is $1\frac{7}{8}\frac{miles}{hour}$ or $1.875\frac{miles}{hour}$

Step-by-step explanation:

we know that

To find the speed divide the distance by the time

$\frac{(3/8)}{(1/5)}=\frac{15}{8}\frac{miles}{hour}$

Convert to mixed number

$\frac{15}{8}=\frac{8}{8}+\frac{7}{8}=1\frac{7}{8}\frac{miles}{hour}$

6 0

3 years ago

Help me solve this. Please, it's math.(I suck at math ngl ︺︹︺ )

fredd [130]

Answer:

Vertical angles are congruent, so the

equation 3x-6 = 114 can be used to find x.

The value of x is 40.

Convince Me!

Why can you use an equation when solving for x in

the diagram?

You can use the eqution because they are equal to each other. When they are equal to each other, you can find x by using the equation to simplify and get x alone.

6 0

2 years ago