Hmm they're both even numbers so maybe we can start by cutting each number in half.

18 and 48 had 2 as a common factor.
So factoring a 2 out of each number was the same as cutting each number in half. Try to do something similar with the 9 and 24. They each have something in common.
Answer:


Step-by-step explanation:
Given




Required
Determine the number of miles driven on the highway and on the city
Represent the gallons used on highway with h and on city with c.
So, we have:
---- gallons used
and
--- distance travelled
In the first equation, make c the subject

Substitute 10 - h for c in the second equation


Open bracket

Collect like terms


Make h the subject


Substitute 5 for h in 


If on the highway, he travels 31 miles per gallon, then his distance on the highway is:


If in the highway, he travels 26 miles per gallon, then his distance on the highway is:


Ab = (7x-6) → b = (7x-6)/a (1)
bc = (12-2x) → b = (12-2x)/c (2)
Since (1) = (2) → (7x-6)/a = (12-2x)/c OR a/c = (7x-6)/(12-2x) (3)
Multiply both numerators of (3) by the SQUARE of their respective denominators;
(a*c²)/c = (7x-6)(12-2x)²/(12-2x)
Now simplify:
ac = (7x-6)(12x-2x) or ac = -14x² + 96x - 72
Answer: 
Step-by-step explanation:
The confidence interval for population mean is given by :-
, where
is the sample mean and ME is the margin of error .
Given : The sample mean : 
Margin of error : 
Then , the range of values (confidence interval) likely to contain the true value of the population parameter will be :-

Hence, the range of values likely to contain the true value of the population parameter = 