The answer is 23
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<span>The value of y when x=3 when the value of y varies directly with x^2, and y = 150 when x = 5 is 54. Since the value of y varies directly with x2, then: y = k * x^2, where k is constant. When y = 150 and x = 5, the value of constant is: 150 = k * 5^2. 150 = k * 25. k = 150/25. k = 6. Thus, when x = 3, the value of y will be: y = 6 * 3^2. y = 6 * 9. y = 54.</span>
Answer:
50 % alcohol solution = 10 millimetres
30 % alcohol solution = 90 millimetres
Step-by-step explanation:
two equations can be derived from this question
x + y = 100 equation 1
0.3x + 0.5y = 100 x 0.32 = 32
0.3x + 0.5y = 32 equation 2
where :
x = 30% alcohol solution
y = 50% alcohol solution
multiply equation 1 by 0.3
0.3x + 0.3y = 30 equation 3
subtract equation 3 from 2
0.2y = 2
y = 10
substitute for y in equation 1
x + 10 = 100
x = 100 - 10
x = 90
A = (B+b)·h/2 = 48 and B=b+6
2·48 = (b+6+b)·8
12 = 2b + 6
6 = 2b
b = 3 <span>inches
B = 9 </span><span>inches</span>