So I'm not 100% on this, but I believe that first you need to combine like terms. The 4x and the -2x make 2x and distribute the 2 so you get 2x+1. That all equals 2x+5=2x+2. You need to get the variable by themselves so I will minus the 2. You then get 2x+3=2x. You then need to minus the 2x, which makes 0. So the answer is 3=0, or undefined. Is that about what you guys are working on? Have you learned about undefined?
If it's refilled with 8 litres of mango juice, the resulting mixture will be 8 parts mango and 48 parts pine, or 1 part mango, 6 parts pine. (AKA, roughly 16.67% mango juice).
Now, if they take out 8 litres from that mixture, that 8 litres will also be 1 part mango and 6 parts pine, leaving you with 48 litres of 1 part mango, 6 parts pine.
Hang on, because it gets tricky from here. We're going to use a formula here:
<---- where there are q[1] litres of p[1] % that we start with, and we add q[2] litres of p[2] % mix, and so we'll end up with a mixture that is (q[1] + q[2]) liters big that will have a different percent mixture p[3] from what we started.
We started with 48 liters that is 16.67% mango. So <---- change the percent to a decimal.
We're going to add 8 liters of pure mango juice, so <--- The 100% mango juice is the 1 in decimal.
As total mix, we'll have litres which is 48 + 8 = 56, BUT the percentage mango of the new mixture will surely be different.
So our equation so far is: . All we have to do is solve for .
<---- simplified
<--- roughly 28.57% mango juice or mango juice. Since mango is 2/7 of the mixture, the other 5/7 is pine. The problem asked for the ratio between mango to pine, and that would be the 2:5.
A.Wrong its 2^8 as 2x4=8
B.wrong its 3^-10 and not its reciprocal
C.correct
D.correct
E.correct
F.wrong as 3x2=6
Any picture? Example: if the number is 36 you would round to 40 and if the number was 34 you would round to 30 if it is 35 you choose what to round to. It depends on the last digit.
The answer is -2/3 from the solution above