Answer:
Quantity of solution B required is 300 ml
Step-by-step explanation:
Let "a" be quantity of solution A required
Let "b" be quantity of solution B required
We are given Solution A is 19% alcohol and Solution B is 14% alcohol and that the resulting mixture has 156 milliliters of pure alcohol
Thus;
0.19a + 0.14b = 156 - - - (eq 1)
Also, He uses twice as much Solution A as Solution B.
Thus;
a = 2b
Putting 2b for a in eq 1 gives;
0.19(2b) + 0.14b = 156
0.38b + 0.14b = 156
0.52b = 156
b = 156/0.52
b = 300 ml
Quantity of solution B required is 300 ml
Answer:A is a quadratic function
Step-by-step explanation:
A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. If you solve the function, y= 2x^2+x-6.
Answer:
8 / 15
Step-by-step explanation:
By Pythagoras theorem,
OP² + PQ² = OQ²
OP² + 8² = 17²
OP² = 17² - 8²
= 289- 64
OP² = 225
OP² = 15²
OP = 15
Formula : -
Tan θ = Opposite side / Adjacent side
Here,
θ = Q
Opposite side = PQ = 8
Adjacent side = OP = 15
Tan Q = 8 / 15
Answer:
(0,1)- y intercept (1,0) x intercept
Step-by-step explanation:
first lets write this equation in slope intercept form: y=mx+b
m=slope
b=y intercept
so
slope formula:
(y2-y1)/(x2-x1)
y2=-3
y1=9
x2=4
x1=-8
so
(-3-9)/(4--8)=-12/12=-1
slope=-1
hence
y=-1x+b
substitute "x" as 4 and "y" as -3
so
-3=-1(4)+b
-3=-4+b
1=b
so
y=-x+1
1=y intercept
and
0=-x+1
-1=-x
1=x
1=x intercept
