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
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
of the total job.
both pumps together: since it takes both 3 hours to complete the job, in one hour they do
of the job.
Now, we can write the following equation about fractions of the job done:
<em>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.</em> That is in mathematical terms:

and solving for x:

Answer:

Step-by-step explanation:
The diagram is drawn and attached below.
From the diagram


- The equivalent inequality for the number line is x < 8
- The equivalent inequality for the number line is x ≥-5
<h3>Inequality functions </h3>
The inequality expression is an expression not separated by an equal sign,
11) The equivalent inequality for the number line is x < 8. This shows that the values of x that make it true must be less than 8.
Note that the sign is less than because the circle is open and moves towards the left of the number line
11) The equivalent inequality for the number line is x ≥-5. This shows that the values of x that make it true must be greater than or equal to 8.
Note that the sign is greater than or equal to because the circle is closed and moves towards the right of the number line
Learn more on number line here:brainly.com/question/24644930
You can't find slope intercept form because it is perpendicular so the equation is x= -8