0.1639
.6 / 3.66 , just divide it
Answer:
<h3>she should mix 1.2 quarts of sauce with 17% sugar with 1.4 quarts of sauce with 30% sugar</h3>
Step-by-step explanation:
X= quarts of sauce # 1 ( 17% of sugar)
Y= quarts of sauce # 2( 30 % of sugar )
General Balance
EQ (1)
![Y=2.6-X\\](https://tex.z-dn.net/?f=Y%3D2.6-X%5C%5C)
SUGAR BALANCE
EQ (2)
replace Y from eq(1) into eq(2)
![0.17X+0.3(2.6-X)=0.624\\0.17X+0.78-0.3X=0.624\\-0.13X=0.624-0.780\\X=\frac{-0.156}{-0.13} \\X= 1.2\\Y=2.6-1.2=1.4](https://tex.z-dn.net/?f=0.17X%2B0.3%282.6-X%29%3D0.624%5C%5C0.17X%2B0.78-0.3X%3D0.624%5C%5C-0.13X%3D0.624-0.780%5C%5CX%3D%5Cfrac%7B-0.156%7D%7B-0.13%7D%20%5C%5CX%3D%201.2%5C%5CY%3D2.6-1.2%3D1.4)
Answer:
Irrational Number
Step-by-step explanation:
The irrational numbers are those that cannot be expressed as a ratio of two integers. Examples are as well as the square roots of many other numbers, and special numbers like e and π. It turns out that there are as many irrational numbers as rational. Irrational numbers have no exact decimal equivalents.
Hope this helps (:
Answer:
Step-by-step explanation:
2
(a )square root of 2 (c)
Answer:
a) 10
b) 15
c) 190
d) ![{n \choose 2} = \frac{n!}{(n-2)!2!}](https://tex.z-dn.net/?f=%20%7Bn%20%5Cchoose%202%7D%20%3D%20%5Cfrac%7Bn%21%7D%7B%28n-2%29%212%21%7D%20)
Step-by-step explanation:
Lets start with the generic item (d). In order to draw a chord we need to pick two endpoints from the total of n points of the circle and draw the line between them. The total amount of lines we can draw is equivalent to the total pair of points we can pick to draw them.
In other words, we can draw as many chords as the amount of subsets of 2 elements we can pick from a set of n. That number is the combinatorial number of n with 2 given by
![{n \choose 2} = \frac{n!}{(n-2)!2!}](https://tex.z-dn.net/?f=%20%7Bn%20%5Cchoose%202%7D%20%3D%20%5Cfrac%7Bn%21%7D%7B%28n-2%29%212%21%7D%20)
a) If n = 5, the answer is
![{5 \choose 2} = \frac{5!}{(5-2)!2!} = \frac{120}{6*2} = 10](https://tex.z-dn.net/?f=%20%7B5%20%5Cchoose%202%7D%20%3D%20%5Cfrac%7B5%21%7D%7B%285-2%29%212%21%7D%20%3D%20%5Cfrac%7B120%7D%7B6%2A2%7D%20%3D%2010%20)
there are 10 possibilities
b) for n = 6
![{6 \choose 2} = \frac{6!}{(6-2)!2!} = \frac{720}{24*2} = 15](https://tex.z-dn.net/?f=%20%7B6%20%5Cchoose%202%7D%20%3D%20%5Cfrac%7B6%21%7D%7B%286-2%29%212%21%7D%20%3D%20%5Cfrac%7B720%7D%7B24%2A2%7D%20%3D%2015%20)
15 possibilities
c) for n = 20, we have
![{20 \choose 2} = \frac{20!}{(20-2)!2!} = 190](https://tex.z-dn.net/?f=%20%7B20%20%5Cchoose%202%7D%20%3D%20%5Cfrac%7B20%21%7D%7B%2820-2%29%212%21%7D%20%3D%20190%20)
possibilities.
I hope that works for you!