Answer:
Step-by-step explanation:
Given
Required
Eliminate a
Multiply the first equation by -4
Add to the second equation
Solve brackets
Open bracket
At this point, a has been eliminated;
From the list of given options, the option that answers the question is
Answer:
PS=5.4
Step-by-step explanation:
The centroid divides each median in the ratio 2:1
If U is the centroid, then
We use ratio to obtain;
Cross multiply;
Expand;
Group similar terms;
x=1
PS=PU+US
PS=3.6+1+0.8
PS=3.6+1+0.8
PS=5.4
Answer:
Ephraim paid a 22.3% tip, what was his bill before adding the tip?
23.54
Step-by-step explanation:
For this case we assume the following notation:
represent the total paid for the dinner
x represent the amount before adding the tip
f =0.223 represent the fraction of the total amount destined to the tip
Based on this we can create the following relationship between T and x:
And we can solve for x from the previous equation like this:
Taking T common factor we got:
And if we replace we got:
And the amount destined to the tip would be
And if we add the two values we see that:
23.54+6.75 = 30.29 representing the total cost.
So then the correct answer for the question:
Ephraim paid a 22.3% tip, what was his bill before adding the tip?
23.54