Point two should be your answer
I think the third one on both part a and b can't be used to find the answer
Original Figure:
Length = 15
Width = 5
Height = 10
Volume = Length*Width*Height
Volume = 15*5*10
Volume = 750
New Figure
Length = 3
Width = 1
Height = 2
Each dimension has been divided by 5 (eg: 15/5 = 3)
Volume = Length*Width*Height
Volume = 3*1*2
Volume = 6
The old volume was 750 and it changes to 6
Notice how 750/6 = 125
Which can be rearranged to 750/125 = 6
Answer: if you divide the old volume by 125, then you get the new volume
Note: the new volume is 125 times smaller than the old volume
Put another way, the old volume is 125 times larger compared to the new volume
The fact that 125 = 5^3 is not a coincidence. If you divide each dimension by some number k, then you divide the volume by k^3
Answer:
B. x=y
Step-by-step explanation:
A 5% tax charge is equivalent to multiply the current price by 1.05. On the other hand, a 5% discount is equivalent to substrace the current the 5% of it, so in the end, you multiply the current price by 0.95.
For X we should multiply first by 0.95, then by 1.05
For Y we multiply first by 1.05, then by 0.95
Hence, if L = price list, we have
- x = L*0.95*1.05 = 0.9975L
- y = L*1.05*0.95 = 0.9975L
- z = L
As a result, x=y<z. Option B is correct.
Note that applying discount first or charging taxes first doesnt matter because the order of the factors doesnt ater the product.
12/5
5 comes twice 5 10 and then 2 left
so since there are 2 5s write 2 and 2/5=4/10 so thats 0.4
the answer is 2.4
