27+6(2*2-1)4*2-5
2*2=4
27+6(4-1)4*2-5
4-1=3
27+6(3)4*2-5
6*3=18
27+(18)4*2-5
18*4=72
27+(72)*2-5
72*2=144
27+(144)-5
27+144+171
171-5=166
So the answer is 166.
13 is not the same as 1/3! The division symbol is not a symbol used to connect two numbers, it is used to find their quotient. For example, 6/2 would be like saying: You have 6 cookies, and 2 friends. How many cookies does each friend get? The answer is obviously not 62, it is 3! So, the exact quotient is 0.3 repeating. You could memorize this or use the fact that 0.9 repeating is 1.
Answer:
The volume of the solution with 20% acid is 27 gallons and the one with 10% acid is 18 gallons
Step-by-step explanation:
Myra needs to mix "x" gallons of the solution with 20% and "y" gallons of the solution with 10%. The volume of the final solution must be 45 gallons, therefore:
x + y = 45
The concentration of acid of the final solution is:
0.2*x + 0.1*y = 45*0.16
0.2*x + 0.1*y = 7.2
Therefore we have a system of equation:
x + y = 45
0.2*x + 0.1*y = 7.2
We need to multiply the first equation by -0.1:
-0.1*x -0.1*y = -4.5
0.2*x + 0.1*y = 7.2
We now sum both equation:
0.1*x = 2.7
x = 2.7/0.1 = 27 gallons
y = 45 - 27 = 18 gallons
I am thinking that the correct answer among the choices presented is option D. The points lie on the line equidistant from the endpoints of AB. <span>The points lie on the line that is the perpendicular-bisector of segment AB. </span>Hope this answers your question.
If f(x) = {(2, 3), (4, 8), (7, –1)} and g(x) = {(8, 2), (–1, 4), (2, 7)}, find (f ◦ g)(x), if it exists.
zepelin [54]
Answer:
(f o g )(x) = {8, 3), (-1, 8), (2, -1)}
Step-by-step explanation:
(f o g)(x) = [f(g(x)]
g(8) = 2 and f(2) = 3
g(-1) = 4 and f(4) = 8
g(2) = 7 and f(7) = -1
So, (f o g )(x) = {8, 3), (-1, 8), (2, -1)}
