Answer:
4/13
Step-by-step explanation:
Total number of marbles = 2+4+6+1=13
number of yellow = 4
yellow marble/total Number of marbles =4/13
Complementary angles are adjacent angles which add to equal 90 degrees (a right angle). To find m∠A in these figures, set the sum of the known angle measure and the unknown angle measure, A, equal to 90 and solve.
10)
90 = 67 + A
23 = A
m∠A = 23°
11)
90 = 57 + A
33 = A
m∠A = 33°
12)
90 = 44 + A
46 = A
m∠A = 46°
Answer: x=(z-a)/b
Step-by-step explanation:
First subtract a from both sides to begin isolating x on its side of the equation. This gives you bx=z-a. Next, divide b from both sides to finish isolating x. This gives you x=(z-a)/b
Let's say we'll mix "x" amount of the 80% solution, how much antifreeze is in it? well is just 80% of antifreeze, and the rest is something else.... what's 80% of "x"? so is (80/100)*x, or 0.8x.
likewise, the mixture will be a 70% solution, and let's say it adds up to "y" amount, so how much antifreeze is in it? well (70/100) * y or 0.7y.
![\bf \begin{array}{lccclll} &\stackrel{gallons}{amount}&\stackrel{\%}{quantity}&\stackrel{antifreeze}{quantity}\\ &------&------&------\\ \textit{80\% sol'n}&x&0.80&0.8x\\ \textit{10\% sol'n}&100&0.10&10\\ ------&------&------&------\\ mixture&y&0.70&0.7y \end{array}](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7Blccclll%7D%0A%26%5Cstackrel%7Bgallons%7D%7Bamount%7D%26%5Cstackrel%7B%5C%25%7D%7Bquantity%7D%26%5Cstackrel%7Bantifreeze%7D%7Bquantity%7D%5C%5C%0A%26------%26------%26------%5C%5C%0A%5Ctextit%7B80%5C%25%20sol%27n%7D%26x%260.80%260.8x%5C%5C%0A%5Ctextit%7B10%5C%25%20sol%27n%7D%26100%260.10%2610%5C%5C%0A------%26------%26------%26------%5C%5C%0Amixture%26y%260.70%260.7y%0A%5Cend%7Barray%7D)
so whatever "x" is, we know that
x + 100 = y.
and we know that
0.8x + 10 = 0.7y.