A = oz of the solution A
b = oz of the solution B
The scientist knows that solution A is 45% salt and solution B is 95% salt. She wants to obtain 80 ounces of a mixture that is 65% salt.
a + b = 80
0.45a + 0.95b = 0.65*80
by solving the above system of equations you'll find····
a = 48 oz
b = 32 oz
~I hope this helped~
If it doesn't make since, I can try to switch up the wording ^^
Answer:
D
Step-by-step explanation:
In the graph, there are only two values for a graph. In this case, those two values are crackers and calories.
1st hen =6x
2nd hen =7y
1st hen is greater than 2nd
so you get 6x > 7y
Answer:
g(x) has the greater max: 11 versus 6
Step-by-step explanation:
One can readily discern the max value of the graph; it is 6 and occurs at x =1.
Regarding the function g(x) = (-1/2)x^2 + 4x + 3: Find the vertex, which also represents the max value:
Here the coefficients are a = -1/2, b = 4 and c = 3, so that the axis of symmetry is:
x = -b/(2a), which here is x = -4 / ( 2·[-1/2] ) = -4 / (-1) = 4
At x = 4, the function (y) value is
g(4) = (-1/2)(4)² + 4(4) + 3, or
g(4) = -8 + 16 + 3, or 11
This is greater than the max value of the graphed function.