Let x represent the number of liters of 50% acid Theresa puts into the mix. The the number of liters of 30% acid will be (420-x). The total amount of acid in the final solution will be ...
0.50x + 0.30(420-x) = 0.45(420)
0.20x + 126 = 189 . . . . . . . . . . . . . . . simplify
0.20x = 63 . . . . . . . . . . . . . . . . . . . . . subtract 126
x = 63/0.20 = 315 . . . . . . . . . . . . . . . liters of 50% solution
(420-x) = 420-315 = 105 . . . . . . . . . liters of 30% solution
Theresa should mix ...
105 liters of 30% solution
315 liters of 50% solution
Answer:
y = 
Step-by-step explanation:
Let the equation of the exponential function is,
y = a(b)ˣ
Since the graph of this function passes through two points 
and (3, -1)
For the point ,
---------(1)
For second point (3, -1),
-1 = a(b)³ ---------(2)
Divide equation (2) by equation (1),
= 
From equation (2)
-1 = 
-1 = 
a = 8
Therefore, equation of the exponential function will be,
y =
Answer:2
2/1=2
I hope this is good enough:
9514 1404 393
Answer:
1.49283
Step-by-step explanation:
8.1% as a decimal is 0.081
The product of that and 18.43 is ...
0.081 × 18.43 = 1.49283
__
If this is a monetary value, it would round to 1.49.
Explanation:
Angles 1 & 2 have to equal 180. So, if ∠1 is equal to 140, ∠2 is equal to 40 because 140 + 40 = 180.
So far... we know that:
Angles 2, 9, and 11 make a triangle, a triangles "magic number" is also 180. To get 180, you must add up all of the angles. Well... we don't know ∠11 so to find it, you subtract 40 & 80 from 180. 180 - 80 - 40 = 60.
Answer:
∠2 = 40
∠11 = 60
