Answer:
Amount of vinegar. 100% : 20 milliliters
Amount of Italian dressing: 140 milliliters
Step-by-step explanation:
Let's call A the amount of vinegar. 100%
Let's call B the amount of Italian dressing . 12% vinegar
The resulting mixture should have 23% vinegar, and 160 milliliters.
Then we know that the total amount of mixture will be:

Then the total amount of pure antifreeze in the mixture will be:


Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -1 and add it to the second equation:


+

--------------------------------------



We substitute the value of B into one of the two equations and solve for A.


Answer:
x ≤ 13
Step-by-step explanation:
-4 + x ≤ 9
-4 -4
x ≤ 13
0.4 x >= 327 Divide by 0.4
x >= 327/0.4 which is not going to be an even number.
x >= 817. 5 puppies. So they need to sell 0.5 more puppies. Better round this quickly before someone decides to do something stupid to get the extra 1/2 puppy. For us it's simple. Just add a 1/2 puppy more.
x >= 818 puppies <<<<==== answer.
Cot^2x - cot^2x cos^2x
= cot^2x - {(cot^2x)(cos^2x)}
= cot^2x { 1 - cos^2x }
= cot^2x { sin^2x }
= (cos^2x/sin^2x) { sin^2x }
= cos^2x
(6-x)=24
X=-18
If you subtract a negative number with a positive number it adds them together making it positive (6- -18)=24