On st patrics day you took note of who was coming into your restruant

Mathematics

1 answer:

nikklg [1K]3 years ago

6 0

………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………

You might be interested in

Working together to palms can drain a certain pool in three hours if it takes the older pump nine hours to drain the pool by its

andreyandreev [35.5K]

Answer:

It would take the newer pump 4.5 hours to drain the pool

Step-by-step explanation:

Let's investigate first what is the fraction of the job done in the unit of time (hour in this case) by each pump if the work individually:

older pump: if it takes it 9 hours to complete the job, it does $\frac{1}{9}$ of the job in one hour.

newer pump: we don't know how long it takes (this is our unknown) so we call it "x hours". Therefore, in the unit of time (in one hour) it would have completed $\frac{1}{x}$ of the total job.

both pumps together: since it takes both 3 hours to complete the job, in one hour they do $\frac{1}{3}$ of the job.

Now, we can write the following equation about fractions of the job done:

The fraction of the job done by the older pump plus the fraction of the job done by the newer pump in one hour should total the fraction of the job done when they work together. That is in mathematical terms:

$\frac{1}{9} +\frac{1}{x} =\frac{1}{3}$

and solving for x:

$\frac{1}{9} +\frac{1}{x} =\frac{1}{3} \\x+9=3x\\2x=9\\x=\frac{9}{2} \,\,hours\\x = 4.5\,\,hours$

4 0

3 years ago

8n=7n + 1/2 please help me

natka813 [3]

I hope this helps you

8n=7n+1/2

2.8n=7n+1

16n-7n =1

9n=1

n=1/9

7 0

3 years ago

Read 2 more answers

Carlos's credit card has an APR of 14.78% and a grace period of 18 days, and Carlos pays his balance in full every month. If his

zhannawk [14.2K]

If Carlo’s last billing cycle ended on March 28, 2010, and he made his payment on April 13, 2010, he didn’t owe any interest on his last statement's balance because he paid within the grace period. I hope this helps and if you have any further questions, please don’t hesitate to ask again.

3 0

3 years ago

Read 2 more answers

A rectangular prism is packed with cubes that measure 1/4 inch on each side. What is the volume, in cubic inches, of the rectang

Vladimir79 [104]

V = n X V(cube)

Explanation:

Given:

Side of the cube,a = $\frac{1}{4}$