We have been given the expression
We can rewrite the expression as 
In order to simplify the given expression, we can check if we have any common terms in the numerator and denominator.
We can write the term 72 which is in the numerator as 
Thus, the expression becomes
We can see that 4 is common in both numerator and denominator. Hence, we can cancel 4. Thus, we are left with
Therefore, we can rewrite the given expression as 54.
13. Pick a point and see which formula works.
Ay = -4, A'y = 7. Only the formula of selection D makes that translation.
14. Use the compound interest formula A = P*(1 +r/n)^(nt).
..1500*1.015^80 = 4935.99, matching selection C
15. The lid has a perimeter of 90", so the area of the sides is
.. 90" * 24" = 2160 in^2
The area of the lid is
.. 30" * 15" = 450 in^2
The gray area is (2160 -450) in^2 = 1710 in^2 larger, corresponding to selection C.
16. The only formula that maps (7, -1) to (21, -3) is that of selection D.
_____
The middle two problems are the only ones that require you to have prior knowledge. The others could be answered simply by seeing if the answers work.
Answer:
A. C. E.
Step-by-step explanation:
The last one is my favorite
Answer:
Option C.
Step-by-step explanation:
We need to translate each phrase and find the different expression.
"+" sign is used for sum, more and total.
Twice means two times of a number.
Let n be the unknown number.
Two more than a number = n+2
The total of n and 2 = n+2
Twice the number n = 2n
Sum of n and 2 = n+2
From the above expressions it is clear that only 2n is different from other.
Therefore, the correct option is C.
To get a proper result we have to take into consideration order of operation.
2{3[9+4(7-5)-4]}=2{3[9+4*2-4]}=2{3[9+8-4]}=2{3*13}=2*39=78 - its the answer
