I've been waiting for someone to ask this question. It's one of my favorite questions to answer.
percent means out of 100 so 1% = 1/100 and 40%=40/100 or 1/25
so for percent of a number, 'of' means multiply so 40% of 500= 40/100 times 500 or 20000/100 or 200
if you multiply a fraction by its recipricol (the number fliped upside down) the you will get 1 so if you multiply 1/2 by 2/1 then you will get 1
thus
percent is out of 100 so 1%=1/100 25%=25/100
if you represent 45 out of something as 45/x then you multiply it by the reciprocal of the fraction that is supposed to be equal (1/2 =2/4) then you will get 1
so 45/x times reciprocal of 100/25 then you will get 1/1 or 4500/25x
so you divide to find x and get 180
so 45 is 25% of 180
The following is extra
as stated above 'of' can be taken as multiply so
45 is 25% of 180 can be rewriten as
45=25/100 times 180
but we don't know that 180 is the answer so we replace it with x then solve for x
Alright, so there are three answers. Start with 3, and for each question you answer, you can select three more, so it's 3*3 for two questions and so on, resulting in 3^8= 6561
This is assuming you mean <span>how many ways can you answer the test, not the question</span>
Lets x = width
height = 2x - 4
A = 1/2 b h
63 = 1/2 (x)(2x-4)
126 = 2x^2 - 4x
2(x^2 - 2x - 63) = 0
2(x - 9)(x + 7) = 0
x - 9 = 0; x = 9
x + 7 = 0; x = -7
so width = 9
height = 2(9) - 4 = 18 - 4 = 14
answer
width = 9 in
height = 14 in
Use distribution.
10 - (8p + 3) = 10 - 8p - 3 = 7 - 8p
9(2p - 5) = 18p - 45
So...
-8p + 7 = 18p - 45
Subtract 7 from both sides
-8p = 18p - 52
Subtract 18p from both sides
-26p = 52
Divide both sides by -26.
p = -2
There's your answer :D