20x+24=12x-3 add 3 to both sides
20x + 27 = 12x subtract 20x from both sides
27 = -8x divide both sides by -8
-27 / 8 = x
1. Add 3 to both sides (we want all the "non x" terms on one side and all the "x's" on the other)
We have that (a/b)-n = (b/a)n
So
(10 /9)-2 = (9 /10)2 = 81 / 100
Ok.....from the beginning, we would have
$10P + $6B ≤ $50 where P is the number of papayas and B is the number of bananas
f(x) = cx -1.28 so....if x = 6, f(x) = 23 and we have
23 = c(6) - 1.28 add 1.28 to each side
24.28 = c(6) divide both sides by 6
c = about 4.046
Good job.......!!!!
She has $30 to spend on bananas
So the max number she can buy is representsed by
6B ≤ 30 divide by 6 on each side
B ≤ 5 where B is the number of bananas (man, that's some expensive fruit!!)
In a 1/N fraction, if we cannot write the denominator in terms of factors of 2's and/or 5's, then the decimal repeats......and the maximum length of its repeating string of digits is never greater than N - 1 digits
(x^2 - 1 ) / (x-1) factor the numerator
(x + 1) (x - 1) / (x - 1) "cancel" the (x - 1) terms
= ( x + 1 )
The "2m" is correct
What is -10 + 6 ???
