Step-by-step answer:
For relatively small denominators, the easiest way is to multiply the two denominators AND divide by the highest common factor (HCF).
For example, adding 5/24+3/16
24*16 = 384
(use a calculator if necessary, for mental calculation, 24*16=20^2-4^2=400-16=384 ).
The highest common factor (HCF) is 8, since 24/8=3, 16/8=2, 3 and 2 do not have any more common factors, so it is the HCF.
The lowest common multiple (LCM) is then 384/8 = 48
For someone good at factoring, we see that the factors are:
24={2^3,3}
16={2^4} = {2^3,2}
so the LCM is either 16*3=48, or 24*2=48.
420x.06=25.20
Sales Tax will be 25.20
She can spend a little over 30 dollars each day, ($30.35)
Answer:-10/13
Step-by-step explanation:
3x+4 = (2/5)x + 2
First move the 4 to the other side by subtracting it.
it becomes : 3x = (2/5)x - 2
then multiply everything by 5 to get rid of the fraction.
it becomes 15x = 2x -10
then move the 2x to the other side by subtracting it.
you get 13x = -10
now you can divide everything by 13 to isolate the x.
and you get x = -10/13
Answer:
f>2 or f<-2
Step-by-step explanation:
f^2−9>−5
Add 9 to each side
f^2−9+9>−5+9
f^2 >4
Take the square root of each side, remembering to flip the sign of the inequality for the negative
f>2 or f<-2
