Answer:
1.0001 * 10^-4.
Step-by-step explanation:
Count the number of digits after the decimal point until you come to the first digit which is greater than 0. For the given value that is the first 1. The count is
4, so the answer is 1.0001 * 10^-4.
So, the first brand has 9% vinegar, and say we use "x" amount of it, then, the amount of vinegar in "x" is 9% of x, or (9/100) * x, 0.09x.
the second brand has 14% of vinegar, and if we use say "y" amount of it, then the amount of vinegar in "y" is really just 14% of "y" or, (14/100) * y, 0.14y.
![\bf \begin{array}{lccclll} &\stackrel{mL}{amount}&\stackrel{\%}{concentration}&\stackrel{amount}{concentration}\\ &------&------&------\\ \textit{first brand}&x&0.09&0.09x\\ \textit{second brand}&y&0.14&0.14y\\ ------&------&------&------\\ mixture&230&0.13&29.9 \end{array}](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7Blccclll%7D%0A%26%5Cstackrel%7BmL%7D%7Bamount%7D%26%5Cstackrel%7B%5C%25%7D%7Bconcentration%7D%26%5Cstackrel%7Bamount%7D%7Bconcentration%7D%5C%5C%0A%26------%26------%26------%5C%5C%0A%5Ctextit%7Bfirst%20brand%7D%26x%260.09%260.09x%5C%5C%0A%5Ctextit%7Bsecond%20brand%7D%26y%260.14%260.14y%5C%5C%0A------%26------%26------%26------%5C%5C%0Amixture%26230%260.13%2629.9%0A%5Cend%7Barray%7D)
so, whatever "x" and "y" are, we know that
x + y = 230.
and we also know that their concentration amounts will also add up,
0.09x + 0.14y = 29.9.
![\bf \begin{cases} x+y=230\implies \boxed{y}=230-x\\ 0.09x+0.14y=29.9\\ ----------\\ 0.09x+0.14\left(\boxed{230-x} \right)=29.9 \end{cases} \\\\\\ 0.09x+32.2-0.14x=29.9\implies -0.05x=-2.3\implies x=\cfrac{-2.3}{-0.05} \\\\\\ x=46](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Bcases%7D%0Ax%2By%3D230%5Cimplies%20%5Cboxed%7By%7D%3D230-x%5C%5C%0A0.09x%2B0.14y%3D29.9%5C%5C%0A----------%5C%5C%0A0.09x%2B0.14%5Cleft%28%5Cboxed%7B230-x%7D%20%20%5Cright%29%3D29.9%0A%5Cend%7Bcases%7D%0A%5C%5C%5C%5C%5C%5C%0A0.09x%2B32.2-0.14x%3D29.9%5Cimplies%20-0.05x%3D-2.3%5Cimplies%20x%3D%5Ccfrac%7B-2.3%7D%7B-0.05%7D%0A%5C%5C%5C%5C%5C%5C%0Ax%3D46)
how many milliliters will it be for the second brand? well, y = 230 - x.
Answer:
<em>2(x+3)</em>
Step-by-step explanation:
when adding, take the constant aside and group the similar variables together. In this case, the constant was 6 and the variable was x.
x+ x+ 6, can also be written as (2 times x) + 6.
= 2x + 6, which can also be written as 2(x+3)
<em>Hope this helps.</em>