10 L of 30 % saline solution can be formed by mixing 4 L of 60 % saline solution and 6 L of 10 % saline solution.
Step-by-step explanation:
Let x be the number of liters of 60% saline solution
Now we require 10 L of 30% saline solution.
Liter soln % liters saline %
30 % 10 0.3
60 % x 0.6
10 % 10-x 0.1
Now forming the algebraic equation,
0.6x + 0.1 (10-x) = 10 (0.3)
0.6x + 1 - 0.1 x = 3
0.5 x = 2
x = 4 ( 4 l of 60 % solution is required. So 10 % saline solution required is 10 - 4 = 6 L).
Hence, 10 L of 30 % saline solution can be formed by mixing 4 L of 60 % saline solution and 6 L of 10 % saline solution.
<h3>Answer: 32</h3>
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Work Shown:
Let
x = number of visits
y = total cost in dollars
The membership costs $18 no matter how many visits you do. If you make x visits, at $1 each, then it costs an additional 1*x = 1x = x dollars. This is added on top of the base membership fee. In total, we know that y = 18+x = x+18
We want the total y to be at most $50. Therefore 
. The highest y can get is 50.
Let's replace y with x+18 and isolate x
y is replaced with x+18
subtract 18 from both sides
This tells us that we can make at most 32 visits. In other words, the maximum number of visits is 32.
Answer:
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Answer:
C(7,-8)
R= 8
The general formula of a circle = (x-a)+(y-b)=r²
Width of the rectangle is 14 ft
Step-by-step explanation:
- Step 1: Let the width of the rectangle be x. Then length = 8 + x. Perimeter = 72 ft.
Perimeter = 2(length + width)
72 = 2 (8 + x + x)
72 = 16 + 4x
4x = 56
x = 56/4 = 14
∴ Width of the rectangle is 14 ft
